If each quadrilateral below is a rectangle find the missing measure in #4

Answers

Answer 1

The missing measures of the angles are as follows:

m∠BCD = 90°m∠ABD = 16°m∠CBE = 74°m∠ADE = 74°m∠AEB = 148°m∠DEA = 32°

How to determine the measures of the angles?

The figure that completes the question is added as an attachment

From the figure of the rectangle, we have:

m∠BDC = 16°

A rectangle has four (4) interior angles that are 90 degrees each.

This means that

m∠ADE = 90 - 16

m∠ADE = 74°

Also, we have:

m∠ABD = m∠BDC = 16° by the alternate interior angles

By the complementary angle, we have:

m∠CBE = 90 - 16 = 74°

By the alternate interior angles, we have

m∠ADE = m∠CBE = 74°

Solving further, we have the following equations:

m∠AEB = 180 - 2(16)

m∠AEB = 148°

m∠DEA = 180 - m∠AEB

m∠DEA = 180 - 148

m∠DEA = 32°

Hence, the measure of the angle DEA is 32 degrees

Read more about rectangles at:

brainly.com/question/2500701

#SPJ1

If Each Quadrilateral Below Is A Rectangle Find The Missing Measure In #4

Related Questions

A large conical tank is positioned so that its vertex is pointed downward. Water drains out from a hole at the vertex. As the water drains, the height of the water (measured from the vertex to the top surface) is always twice the radius of the waters surface.
a. draw and label a diagram of the situation, defining any variables you use
b. write a function that gives the volume of the water in the cone as a function of radius of the water at the top surface, using no other variables/parameters.
c. using variable t to represent the time aspect of these changes, what rate of change notation can we use for how the volume of water changes with respect to time and how the radius of the water at the top surface changes with respect to time? (notation for the two quantities only, not an equation)
d. Starting from the original quantity relation in (b) determine the equation that relates their rates of change with respect to time, that is "find the related rates equation"
e.suppose that the water drains from the cone at a constant rate of 15 cm^3 per second. how fast is the radius of the top surface of the water changing when the radius measures 75 cm? write your result in a complete sentence
2. use implicit differentiation to determine dy/dx for the following relation: sin(2x^2y^3)-3x^3=1

Answers

1. Radius is changing at the rate of 0.00042cm/sec when the radius is 75cm.

2.The implicit differentiation to determine dy/dx of relation sin(2x^2y^3)-3x^3=1 is 9x² - 4xy³ cos(2x² y³) / 6x²y² cos(2x² y³)

1. a) check the image attached

r= radius

h=height

b) Volume of conical tank ,V = (1/3)πr²h

= (1/3)πr²(2r)

V = 2/3πr³

c) Rate of change of volume with respect to time is denoted as dV/dt

Rate of change of radius is denoted as dr/dt

d) V = 2/3πr³

dV/dt =  2/3π (3r²) dr/dt

dV/dt = 2πr²  dr/dt

e) Rate of change in volume, dV/dt = 15cm³ / sec  ,  r =75cm

∴ 15 = 2π(75)² .  dr/dt

dr/dt = 15 / (2π(75)²)

dr/dt = 15/35342.92

dr/dt = 0.00042 cm/sec

Radius is changing at the rate of 0.00042cm/sec when the radius is 75cm.

2. sin(2x² y³) - 3x³ = 1

Differentiating :

cos(2x² y³) [2x² y³dy/dt + 2y³ 2x] - 9x² = 0

6x²y² dy/dx . cos(2x² y³) + 4xy³ cos(2x² y³) - 9x² = 0

dy/dx = 9x² - 4xy³ cos(2x² y³) / 6x²y² cos(2x² y³)

Hence, the implicit differentiation to determine dy/dx of relation sin(2x^2y^3)-3x^3=1 is 9x² - 4xy³ cos(2x² y³) / 6x²y² cos(2x² y³)

To know more about volume check the below link:

https://brainly.com/question/1972490

#SPJ4

A census was conducted at a school. All of the students were asked how
many cars their family owns. The results are below.
Number of Cars 0 1 2 3
Probability 0.005 0.120 0.125 0.500 0.250
For the questions below enter the value only. Round to the nearest hundredth, if necessary.
1. What is the expected number of cars?
2. What is the standard deviation?

Answers

1. The expected number of cars is given as follows: 2.87.

2. The standard deviation of the number of cars is given as follows: 0.94.

How to obtain the expected value and the standard deviation of a discrete distribution?

The discrete distribution is given from the table in this problem, as follows:

P(X = 0) = 0.005.P(X = 1) = 0.12.P(X = 2) = 0.125.P(X = 3) = 0.5.P(X = 4) = 0.25.

The expected value is given by the sum of each outcome multiplied by it's probability, as follows:

E(X) = 0 x 0.005 + 1 x 0.12 + 2 x 0.125 + 3 x 0.5 + 4 x 0.25 = 2.87.

The standard deviation is given by the square root of the sum of the differences squared between each observation and the mean, as follows:

S(X) = sqrt((0-2.87)² x 0.005 + (1-2.87)² x 0.12 + (2-2.87)² x 0.125 + (3-2.87)² x 0.5 + (4-2.87)² x 0.25) = 0.94.

More can be learned about the expected value of a discrete distribution at https://brainly.com/question/27899440

#SPJ1

with the new dough, there were 16 complaints out of 340 pizzas. let p1 be the proportion of customer complaints with the old dough and p2 be the proportion of customer complains with the new dough. based on a 95% confidence for the difference of the proportions, what can be concluded?

Answers

The correct answer is:

Reject null hypothesis H0, we cannot conclude the proportion of customer complaints is more for the old dough.

As given in the question,

Let us consider proportion of customer complaints with old dough is p₁

And proportion of complaints with new dough is p₂

Difference in proportion of complaints in old and new dough

= p₁ - p₂

Null hypothesis : H0 : p1 ≥ p2

p₁ - p₂  ≥ 0

Alternative hypothesis : Ha : p1 < p2

p1 - p2 < 0

Let 'x' represents the number of complaints

Sample size = n

Sample proportion = x/n

Old dough:

Number of complains with old dough 'x₁' = 6

Number of pizzas with old dough 'n₁' = 385

p₁ = 6/385

   = 0.01558

   = 0.016

New dough:

Number of complains with new dough 'x₂' = 16

Number of pizzas with new dough 'n₂' = 340

p₂ = 16/340

   = 0.04705

   = 0.047

Pooled proportion test:

[tex]\bar{p}[/tex] = (x₁+ x₂)/(n₁ + n₂)

  = (6 + 16)/(385 + 340)

  = 0.0303

  = 0.03

1 -  [tex]\bar{p}[/tex] = 1 - 0.03

      = 0.97

z = (p₁ - p₂)/√[tex]\bar{p}[/tex](1 - [tex]\bar{p}[/tex])(1/n₁ + 1/n₂)

 = (0.016 - 0.047)/√(0.03)(0.97)(1/385 + 1/340)

 = (-0.031)/ √(0.03)(0.97)(0.0026 + 0.0029)

 = - 0.031/√0.00016005

 = -0.031 / .01265

 = -2.45

It is left tailed test.

p value for the area to the left of the z score using normal distribution table:

p value = 0.007143

Significant level 'α' for  95% confidence level:

= 1 - 0.95

= 0.05

Since 0.05 > 0.0.007143

Reject null hypothesis.

Therefore, reject H0, we cannot conclude the proportion of customer complaints is more for the old dough.

The complete question is :

Paul owns a mobile wood-fired pizza oven operation. A couple of his clients complained about his dough at a recent catering, so he changed his dough to a newer product. Using the old dough, there were 6 complaints out of 385 pizzas. With the new dough, there were 16 complaints out of 340 pizzas. Let p1 be the proportion of customer complaints with the old dough and p2 be the proportion of customer complains with the new dough. Based on a 95% confidence for the difference of the proportions, what can be concluded?

Multiple Choice

A. Reject H0, we can conclude the proportion of customer complaints is more for the old dough

B. Do not reject H0, we cannot conclude the proportion of customer complaints is more for the old dough

C. Do not reject H0, we can conclude the proportion of customer complaints is more for the old dough

D. Reject H0, we cannot conclude the proportion of customer complaints is more for the old dough

Learn more proportion here

brainly.com/question/7096655

#SPJ4

Zion has scores of 92, 97, 94, and 86 on three math tests. What must his grade be on his next text so he can average test grade is a 91?

Answers

The average score is 97

What is average ?

In plain English, an average is a single number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group. The average of the numbers 2, 3, 4, 7, and 9 is, for instance, 5.

Average, mean, median, and norm all refer to something that sits in the middle. The average is the ratio created by dividing the total number of figures in a set by the total number of figures. scored 85 on tests on average. The term "mean" can refer to the simple average or to a value that lies halfway between two extremes.

Let the grade he got on final test be x

The average of all four grades is 91.

So, we have  

(92+89+86+x)/4 = 91

⇒x=364−267

= 97

To learn more about average from the given link  

https://brainly.com/question/20118982

#SPJ1

25 Points

The total cost to rent and drive a car for one day is listed below for two car rental agencies.

Blue Car Rental charges $27.60 to rent a car plus $0.18 per mile driven.
Red Car Rental charges $40.40 to rent a car plus $0.14 per mile driven.
• Write a variable expression that shows the total cost to rent and drive a car for one day at Blue Car Rental. Write a variable expression that shows the total cost to rent and drive a car for one day at Red Car Rental. Define the variable.

• Calculate the total cost at each agency to rent a car for one day and drive it 280 miles. Show all your work.

• Write and solve an inequality that shows how many miles must be driven before the total daily cost at Red Car Rental is less than the total daily cost at Blue Car Rental. Show all your work.

• If Mr. Kao rents a car for one day and drives it 400 miles, which company has a lower total cost?

Answers

The variable expression are

y = $0.18x + $27.60 - Blue Car Rentaly = $0.14x + $40.40 - Red Car Rental

cost at each agency to rent a car for 280 miles

y = $78.00 - Blue Car Rentaly = $79.60 - Red Car Rental

The company that has a lower cost for 400 miles

Red Car Rental

How to write the expression

The required expression is a linear function

A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

Definition of variable to suit the problem

y = output variable (total cost/)

m = slope (cost  per mile driven)

x = input variable (number of miles)

c = y intercept (Car Rental charges)

The equation as described in the problem is represented using linear function as as follows

y = $0.18x + $27.60 - Blue Car Rental

y = $0.14x + $40.40 - Red Car Rental

the total cost at each agency to rent a car for one day and drive it 280 miles

y = $0.18x + $27.60 - Blue Car Rental

y = 0.18 * 280 + 27.60

y = $78

y = $0.14x + $40.40 - Red Car Rental

y = 0.14 * 280 + 40.40

y = $79.60

Write and solve an inequality

$0.18x + $27.60 < $0.14x + $40.40

0.18x + 27.60 < 0.14x + 40.40

0.18x - 0.14x < 40.40 - 27.60

0.04x < 12.80

x < 320 miles

Mr. Kao rents a car for one day

y = $0.18x + $27.60 - Blue Car Rental

y = 0.18 * 400 + 27.60

y = $99.60

y = $0.14x + $40.40 - Red Car Rental

y = 0.14 * 400 + 40.40

y = $96.40

comparing the both shows that Red Car Rental has a lower cost

Learn more about linear functions for costing at:

https://brainly.com/question/29213643

#SPJ1

the temperature of a duck breast is checked during cooking. according to the operation's policy, the duck breast must be cooked for 16 minutes to allow the internal temperature to reach 165 degrees f. what haccp principle is addressed by cooking the duck breast to 165 degrees f?

Answers

The HAACP principle addressed by cooking the duck breast to 165 degrees F is a 'critical limit'.

What is the critical limit?

A critical limit is a value to which a biological, chemical or physical factor must be controlled to prevent food safety hazards. These are the conditions under which potential hazards can be controlled, reduced, or eliminated. They are monitored by observation or measurement, such as measuring the temperature of food storage to avoid spoilage.

Critical limits are based on factors such as:

Temperature, Humidity, Moisture level, pH, Water activity (Aw), Time, Salt concentration, and Preservatives.

Production processes that fail to stay within the bounds of the critical limits must be stopped or the products must be discarded.

Hence the answer is critical limit.

Read more about critical limit at

https://brainly.com/question/27982871

#SPJ4

Select the equation that most accurately depicts the word problem. The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of L inches, plus twice the width of 9 inches.
68 = 9L + 2
68 = L/2 + 2(9)
68 = 2/L + 2/9
68 = 9(L + 2)
68 = 2L + 2(9)
68 = 2(L - 9)

Answers

Answer:

68 = 2L + 2(9)

Step-by-step explanation:

Just write down exactly what it says!

The perimeter of a rectangle is 68 inches

68

The perimeter equals twice the length of L inches

68 = (2 × L)

Plus twice the width of 9 inches.

68 = (2 × L) + (2 × 9)

Now just clean up the equation.

68 = 2L + (2 × 9)

68 = 2L + 2(9)

The answer is 68 = 2L + 2(9).

endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. what is the probability that an endure all battery selected at random will last more than 550 hours? a) 0.8944 b) 0.1151 c) 0.8849 d) 0.1056 e) 0.1587 f) none of the above.

Answers

The probability that an Endure All battery selected at random will last more than 610 hours is 0.1056.

What is meant by the term normal distribution?

A probability distribution that is symmetric around the mean is the normal distribution, sometimes referred . Eventsare approximately normal happen more often than information that are far the mean.

The normal distribution appears as a "bell curve" on a graph.

A probability bell curve is more properly described as the normal distribution.

In a normal distribution, the mean is 0 and the standard deviation is 1. The kurtosis is 3, and there is no skew.All  normal distributions are symmetrical.

Natural occurrences frequently resemble the usual distribution.

However, in finance, most price distributions are not fully normal.

How to solve?

Given that μ = 500, σ = 40, for x > 550

z = 550-500/40

z = 1.25

From the normal distribution table, P(z > 1.25) = 1 - P(z < 1.25) = 1 - 0.8944 = 0.1056

To learn more about the normal distribution, visit:

brainly.com/question/4079902

#SPJ4

Patty has a photograph that is 5 inches wide and 6 inches long. She enlarged each side by the same amount. By how much was the photograph enlarged if the new area is 182 square inches? PLEASE HURRY​

Answers

Each side was increased by 8. If you add 8 to both sides you get 13 and 14, if you multiply those together you get 182 to confirm your answer.

ASAP!!!

Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number, if necessary.

5 units

12 units

16 units

25 units

Answers

The perimeter of the triangle ABC is 12 units. Hence, option (B) is correct.

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

In the given right angle triangle,

The vertices are A(-3, 2), B(-3, -1) and C(1, -1)

The distance between AB = 3,

And the distance between BC = 4

To find the distance of AC, use Pythagoreans theorem,

AC² = AB² + BC²

       = 3² + 4²

       = 9 + 16

AC² = 25

AC = 5

The perimeter of triangle ABC = AB + BC + AC

= 3 + 4 + 5

= 12

The perimeter of the triangle ABC is 12 unit.

To know more about Triangle on:

https://brainly.com/question/2773823

#SPJ1

Solve six times three-sixths equals blank.

Leave your answer as an improper fraction.

thirty-six thirds
eighteen-sixths
eighteen-sixteenths

Answers

Eighteen sixteenths is abcdef

Perimeter of sector is 4 times of its radius what is the radian measurre?

Answers

The radian measures of the central angle of the sector is 2

Given,

In the question:

Perimeter of sector is 4 times of its radius .

To find the radian measures of the central angle of the sector is?

Now, According to the question:

We know:

The perimeter of the circumference is = 2[tex]\pi[/tex]r

If the perimeter of a sector is 4 times its radius.

then, the arc measure of the sector is (4r-2r) → 2r

So, if 2×[tex]\pi[/tex] radians (full circle) has a length → 2[tex]\pi[/tex]r

X  radians → 2× r  (the sector)

X=2× r ×(2×[tex]\pi[/tex])/(2[tex]\pi[/tex]r)

X = 2

Hence,  The radian measures of the central angle of the sector is 2.

Learn more about Radians at:

https://brainly.com/question/16676878

#SPJ4

Company f sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four pieces. Occasionally the manufacturing process results in a fabric defect. Let the random variable x represent the number of defects on a fat quarter created by company f. The following table shows the probability distribution of x.

Answers

By using the concept of expectation, it can be calculated that

a) Probability distribution of Y

P(Y = 0)  = 0.63

P(Y = 1) = 0.25

P(Y = 2) = 0.12

b) Mean of Y = 0.49

  Standard deviation of Y = 0.6999

c) Mean of selling price = $4.4

   Standard deviation of selling price = $0.99

What is expectation?

At first it is important to know about probability of an event.

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Suppose x is a random variable with the probability function f(x). suppose

[tex]x_1, x_2, ...., x_n[/tex] are the values corrosponding to the actual occurance of the event and [tex]p_1, p_2,...., p_n[/tex] be the corrosponding probabilities.

Expectation is given by the formula

[tex]E(x) = p_1x_1 + p_2x_2 + ... + p_nx_n[/tex]

a)If a fat quarter has more than 2 defects, it cannot be sold and is discarded.

The table for the probability distribution of X is given

P(X [tex]\leq[/tex] 2) = 0.58 + 0.23 + 0.11 = 0.92

For probability distribution of Y

P(Y = 0) = P(X= 0 | X [tex]\leq[/tex] 2) = [tex]\frac{0.58}{0.92}[/tex] = 0.63

P(Y = 1) = P(X= 1 | X [tex]\leq[/tex] 2) = [tex]\frac{0.23}{0.92}[/tex] = 0.25

P(Y = 2) = P(X= 2 | X [tex]\leq[/tex] 2) = [tex]\frac{0.11}{0.92}[/tex] = 0.12

Mean of Y = 0 [tex]\times[/tex] 0.63 + 1  [tex]\times[/tex] 0,25 + 2  [tex]\times[/tex] 0.12 = 0.49

E([tex]Y^2[/tex]) = 0 [tex]\times[/tex] 0.63 + 1  [tex]\times[/tex] 0.25 + 4  [tex]\times[/tex] 0.12 = 0.73

Variance = [tex]0.73 - 0.49^2[/tex] = 0.4899

Standard deviation = [tex]\sqrt{0.4899} = 0.6999[/tex]

b) Here, E(G) = 0.40, V(G) = [tex]0.66^2[/tex]

The fat quarters sell for $5.00 each but are discounted by $1.50 for each defect found.

Selling price = 5 -1.5G

Mean of selling price = 5 - 1.5[tex]\times[/tex] 0.4 = 5 - 0.6 = $4.4

Variance of selling price = [tex]5 - 1.5^2 \times 0.66^2\\[/tex] = $0.9801

Standard deviation of selling price = [tex]\sqrt{0.9801}[/tex] = $0.99

To learn more about expectation, refer to the link:

https://brainly.com/question/24305645

#SPJ4

Complete Question

Company f sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four pieces. Occasionally the manufacturing process results in a fabric defect. Let the random variable x represent the number of defects on a fat quarter created by company f. The following table shows the probability distribution of x.

x                   0            1            2     3         4 or more

probability 0.58 0.23 0.11 0.05 0.03

If a fat quarter has more than 2 defects, it cannot be sold and is discarded. Let the random variable Y represent the number of defects on a fat quarter that can be sold by Company F.

(a) Construct the probability distribution of the random variable Y.

(b) Determine the mean and standard deviation of Y. Show your work.

Company G also sells fat quarters. The mean and standard deviation of the number of defects on a fat quarter that can be sold by Company G are 0.40 and 0.66, respectively. The fat quarters sell for $5.00 each but are discounted by $1.50 for each defect found.

(c) What are the mean and standard deviation of the selling price for the fat quarters sold by Company

a cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. the material for the sides of the can costs 0.04 cents per square centimeter. the material for the top and bottom of the can needs to be thicker, and costs 0.08 cents per square centimeter. find the dimensions for the can that will minimize production cost. helpful information: h : height of can, r : radius of can volume of a cylinder: v

Answers

The dimensions of the can are radius of can = 4cm and

height of can = 78.6cm

What is the volume of cylinder?

A cylinder can be seen as a collection of multiple congruent disks, stacked one above the other. In order to calculate the space occupied by a cylinder, we calculate the space occupied by each disk and then add them up.

Thus, the volume of the cylinder can be given by the product of the area of base and height.

Volume of cylinder = πr²h

According to the given question:

We have V cylinder = V = 400cc

We will first find the areas involved

Let x = radius of base then area of the base =  π*x² and this is the area of the top too

For lateral area we need to get h the height of the cylinder as function of x

V = πx²h   ⇒  h= v/πx²    ⇒   h = 400/πx²

Now the total area of the cylinder is:

A(x) = Area of the base + area of the top + lateral area

A(x) = 2*π*x² + 2πx h ⇒  A(x) =  2*π*x² + 2πx (V/πx² )

A(x) =  2*π*x² + 800/x

Taking derivatives:

A´(x)  =  4πx  - 800/x²

A´(x) = 0                4πx  - 800/x² =0     ⇒ πx - 200/x² = 0

( πx³  -  200 )/ x²  = 0      

πx³  -  200 = 0      

x = 4 cm

and h = 400/πx²    ⇒  h = 78.6 cm

To know more about volume of cylinder visit

https://brainly.com/question/24337953

#SPJ4

Ms. Lopez had some drinking glasses. The ratio of the number of blue glasses to the number of white glasses was 5 : 6. Her children broke 8 blue glasses and the ratio became 13 : 18. How many white glasses did she have?

Answers

Answer:

12

Step-by-step explanation:

(5x-8)/6x

There are 36 children and 6 adult at the prechool. To keep the ame child-to-adult ratio, how many adult are needed for 108 children?

Answers

To maintain the same child-to-adult ratio, the number of adult needed for 108 children are 18.

Explain the term ratio of the number?The amounts (numbers) m as well as n are referred to as the ratio's terms in the ratio m: n. Both the first term (i.e., m) and also the second term (i.e., is n) are referred to as antecedent and consequent, respectively.

As the stated question-

At the preschool, there's many 36 children and 6 adults.

Thus, this is solved by using unitary method.

36 children -----> 6 adults.

1 children -----> 6/36 adults.

For 108 children, multiply both sides by 108.

108 children -----> 6 x 108/36 adults.

108 children -----> 18 adults.

Thus, to maintain the same child-to-adult ratio, the number of adult needed for 108 children are 18.

To know more about the ratio of the number, here

https://brainly.com/question/12024093

#SPJ4

a tortoise and hare are competing in a 1000 meter race. the function f and g are such that f ( t ) represents the tortoise's distance from the finish line (in meters) t seconds after the start of the race and g ( t ) represents the hare's distance from the finish line (in meters) t seconds after the start of the race. if we want to compute the number of seconds needed for the hare to finish the race, which of the following procedures should be used?
o Solve g(t) = 0 for the value of t o Solve f(t) = g(t) for the value of t o Evaluate (1000) o Solve g(1) = 1000 for the value of t o Evaluate (0)

Answers

To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.

Linear equation

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the equation (rate of change) and b is the y intercept (initial value of b).

Given that g (t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race.

Hence the answer is, To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.

To learn more about Linear equation click here https://brainly.com/question/28732353

#SPJ4

What is the slope of a line perpendicular to the line whose equation is x - 6y = 24.
Fully simplify your answer.

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]x-6y=24\implies -6y=-x+24\implies y=\cfrac{-x+24}{-6} \\\\\\ y=\cfrac{-x}{-6}+\cfrac{24}{-6}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{6}} x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{6}} ~\hfill \stackrel{reciprocal}{\cfrac{6}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{6}{1}\implies {\Large \begin{array}{llll} -6 \end{array}}}}[/tex]

Answer:

-6

Step-by-step explanation:

i just got this question and it wasn’t 1/6 it was -6

in how many ways can we seat 6 people at a round table if john and sam insist on sitting next to each other? (two seatings are equivalent if one is a rotation of the other.)

Answers

If John and Sam insist on sitting next to each other , then 6 people can sit at a round table in 48 ways .

In the question ,

it is given that ,

John and Sam insist to sit together ,

we have to find the number of ways , we can sit 6 people at a round table

the number of people = 6 people

there is no head of the table ,

So, first person is just a place marker so there are really only 5 people whose positions matter.

But since John and Sam are tied together, they are the equivalent of one person.

that means there  are only 4 people.

= 4! × 2 ways   ...because it could be (John , Sam) or (Sam, John) ,

= 48  ways .

Therefore , 6 people can sit in 48 ways .

Learn more about Permutations here

https://brainly.com/question/29650459

#SPJ4

A stock loses 2.9 points on Monday but gains 6.4 points on Tuesday. What is the stock's overall change in points over the two days?

Answers

Answer:

3.5 Points

Step-by-step explanation:

Change means how many more points did you gain. 6.4 - 2.9= 3.5

The stocks overall change in points over the two days is 3.5 points.

As a project for his business statistics class, a student examined the factors that determined parking meter rates throughout the campus area. Data were collected for the price ($) per hour of parking, blocks to the quadrangle, and whether the parking is on or off campus.
The population regression model hypothesized is Yi = α + β 1 X 1i + β 2 X 2i + ε
where
Y is the meter price per hour
X 1 is the number of blocks to the quad
X 2 is a dummy variable that takes the value 1 if the meter is located on campus and 0 otherwise
The following Excel results are obtained.
Statistics Regression
Multiple R 0.5536
R Square 0.3064
Adjusted R Square 0.2812
Standard Error 0.4492
Observations 58
​ ​ ​ ​ ​ ​ ​
ANOVA ​ ​ ​ ​ ​ ​
​ df SS MS F Significance F ​
Regression 2 4.9035 2.4518 12.1501 0.0000 ​
Residual 55 11.0984 0.2018 ​ ​ ​
Total 57 16.0019 ​ ​ ​ ​
​ ​ ​ ​ ​ ​ ​
​ Coefficients Standard Error t Stat P-value Lower 99% Upper 99%
Intercept 1.6500 0.2028 8.1359 0.0000 1.1089 2.1912
Block -0.2504 0.0529 -4.7355 0.0000 -0.3915 -0.1093
Campus 0.1552 0.1297 1.1966 0.2366 -0.1908 0.5011
Referring to Scenario 13-12, what is the correct interpretation for the estimated coefficient for X 2?
Holding the effect of the distance from the quad constant, the estimated mean costs for parking on campus is $0.16 per hour more than parking off campus.
Holding the effect of the distance from the quad constant, the estimated mean costs for parking on campus is $0.16 per hour more than parking off campus for each additional block away from the quad.
Holding the effect of the distance from the quad constant, the estimated mean costs for parking off campus is $0.16 per hour more than parking on campus for each additional block away from the quad.
Holding the effect of the distance from the quad constant, the estimated mean costs for parking off campus is $0.16 per hour more than parking on campus.

Answers

Holding the effect of the distance from the quad constant, the estimated mean costs for parking on campus is $0.16 per hour more than parking off campus.

According to given data  determined parking meter rates throughout the campus area.

What is the hypothesis for regression?

For simple linear regression, the chief null hypothesis is H0 : β1 = 0, and the corresponding alternative hypothesis is H1 : β1 = 0. If this null hypothesis is true, then, from E(Y ) = β0 + β1x we can see that the population mean of Y is β0 for every x value, which tells us that x has no effect on Y .

Holding the effect of the distance from the quad constant, the estimated mean costs for parking on campus is $0.16 per hour more than parking off campus.

#SPJ4

know more about this topic visit this link

https://brainly.com/question/17642661

Kennedy has $0.81 worth of pennies and nickels. She has 9 more nickels than pennies. Write a system of equations that could be used to determine the number of pennies and the number of nickels that Kennedy has. Define the variables that you use to write the system of equations.

Answers

Answer:

Step-by-step explanation:

kwik trip

Answer:

Let x be the number of pennies, and y  be the number of nickels.

1 penny = 0.01 dollar

1 nickel = 0.05 dollar.

The equations that will describe the given problem will be,

0.01 x + 0.05 y = 0.81

y = x + 9

Plugging the second equation into the first gives us,

0.01 x + 0.05(x+ 9) = 0.81

0.06 x + 0.45 = 0.81

0.06 x = 0.36

y = 15

So, Kennedy has 6 pennies, and 15 nickels.

Step-by-step explanation:

what is the commission

Answers

The commission amount is $60 with the rate at 8% of earned sales amount $750.

What is the percentage?

Percentage means one part of every cent or hundred. And it is represented by symbol '%'.

Given that sales = $750 ,

and the commission rate is 8% .

Now to find the commission , we find 8% of $790

    = 750 x 8 / 100

    = 6000 / 100

    = $60

Therefore, the commission amount is $60 with the rate at 8% of earned sales amount $750.

To learn more about the Percentage;

brainly.com/question/24877689

#SPJ1

consider the initial value problem take the laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. denote the laplace transform of by . do not move any terms from one side of the equation to the other (until you get to part (b) below). help (formulas) solve your equation for . take the inverse laplace transform of both sides of the previous equation to solve for .]

Answers

Initial value that take the LaPlace transform of both sides of the given differential equation to create the corresponding algebraic equation is [tex]y(t) = 3t + sin4t + 3cos4t[/tex]

What is The Laplace transform?

In terms of its usefulness in resolving physical issues, the Laplace transform is an important transform that is probably second only to the Fourier transform. The Laplace transform is especially helpful in solving linear ordinary differential equations, such as those that arise in the analysis of electronic circuits.

The initial value-

[tex]y" + 16y = 48t\\y(0)=3,y'(0)=7\\L( f^{n}(t) ) = s^{n}L(f(t)) - s^{n - 1}(f(0)) - s^{n - 2}(f(0)).........................................f^{n - 1} (0)\\[/tex]

By the formula,

[tex]s^{2}Y(s) - sy(0) - y'(0) + 16Y(s) = 48L(t)\\L(t^{n}) = \frac{n!}{s^{n+1} } \\\\On substitutinf the values,\\Y(s)(s^{2} + 16) - 3s - 7 = \frac{48}{s^{2} }\\Y(s)(s^{2} + 16) = \frac{48}{s^{2} } +3s + 7\\Y(s) = \frac{48 + s^{3} -7s^{2} }{s^{2}((s^{2} + 16) }\\Y(s) = \frac{3}{s^{2} } + \frac{4}{(s^{2} + 16} + \frac{3s}{(s^{2} + 16}[/tex]

On taking LaPlae inverse both side,

[tex]Y(t) = L( \frac{3}{s^{2} } ) + L( \frac{4}{(s^{2} + 16)} ) + L( \frac{3s}{(s^{2} + 16)} )\\Y(t) = 3t + sin4t + 3cos4t\\[/tex]

To know more about Laplace transform visit:

https://brainly.com/question/14487937

#SPJ4

I'LL GIVE BRAINLIEST! PLS HELP!!!!

Todd and his friends are painting 5 equal sections of a wall. The wall is 10 feet tall, but its length is unknown. Each section will be a different color, so they need to know the area of each section.

1. Write an expression for the total area of the wall. Explain how you came up with your expression.


2. To find the area of each section, what do you need to do to the total area?


3. Write an expression for the area of each section of the wall.

Answers

1. Write an expression for the total area of the wall: 10x

2. The area of each section: 2x ft²

3. The area of each section of the wall:  2x ft²

What is area?

A flat (2-D) surface's or an object's shape's overall area is known as its area. On a sheet of paper, draw a square using a pencil. It's a two-dimensional figure. The term "Area" refers to the area that a form occupies on paper. 

We use cm² or m² as our units for measuring area. Area is computed by multiplying a shape's length by its breadth.

Given that,

Todd and his friends are painting 5 equal sections of a wall.

The wall is 10 feet.

1. Total area of the wall this is rectangular size wall which length is 'x' (unknown) and width/height is 10 feet.

So, area = length × height

area = 10x

2. To find the area of each section, there are 5 section (each are equal) so area of each section = total area / 5

= 10x /5

= 2x ft²

we divided total area by 5.

3.  Now area of each section

= 10x/5

= 2x ft²

To know more about area refer to:

https://brainly.com/question/25292087

#SPJ1

the scores on a standardized test are normally distributed with a mean of 100 and standard deviation of 20. what test score is 1.5 standard deviations below the mean?

Answers

The 1.5 standard deviations below the mean implies that the Z-score value will be equal to -1.5.

The test score 70 is 1.5 standard deviations below the mean .

We have given that,

The Score standardized test are Normally distributed,

Mean ,μ = 100

Standard deviations, s.d = 20

we have to calculate test score is 1.5 standard deviations below mean.

so, Z- score = -1.5

This is the z-score formula or z-score equation.

Z = (x − μ )/σ

Where, Z--> z-score

x---> the value in question

μ--> mean of the distribution

σ --> standard deviation of the distribution

plugging all known the value in formula

-1.5 = (x- 100)/20

=> -1.5 × 20 = x - 100

=> x = -30 + 100 = 70

So, 70 is the test score that is 1.5 standard deviations from the mean.

To learn more about Z-score , refer :

https://brainly.com/question/24213960

#SPJ4

use the same regression results where you already found r square and other results for this regression. what is the standard error for the estimated slope of the regression line? answer to four decimal places.

Answers

A regression model can only predict values that are lower or higher than the actual value. As a result, the only way to determine the model's accuracy is through residuals.

What is regression ?

Regression is a statistical technique used in the fields of finance, investing, and other disciplines that aims to establish the nature and strength of the relationship between a single dependent variable (often represented by Y) and a number of independent variables (known as independent variables).

The most popular variation of this method is linear regression, which is also known as simple regression or ordinary least squares (OLS).

Based on a line of best fit, linear regression determines the linear relationship between two variables.

The slope of a straight line used to represent linear regression thus indicates how changing one variable affects changing another..

In a linear regression connection, the value of one variable when the value of the other is zero is represented by the y-intercept. Regression without linearity.

Hence, A regression model can only predict values that are lower or higher than the actual value.

learn more about regression click here:

https://brainly.com/question/28178214

#SPJ4

mr banda is buying chocolate bars and hot chips for his students who scored meets and masters on the semester exam. chocolate bars cost $1.1 you each and hot chips 0.40 each Mr banda spent $87 on buying 130 chocolate bars and hot chips. how many chocolate bars did Mr banda buy?

Answers

The number of chocolate bars which Mr Banda bought is equal to 50 chocolate bars.

How to determine the number of chocolate bars?

In order to determine the number of chocolate bars and the number of hot chips that Carter bought, we would have to write a system of linear equation and assign variables to the number of chocolate bars and number of candies respectively, and then translate the word problem into algebraic equation as follows:

Let the x indicate the number of chocolate bars.Let the y indicate the number of hot chips.

Since chocolate bars cost $1.1 each and hot chips 0.40 each and Mr Banda spent $87 on buying 130 chocolate bars and hot chips, we would have the following system of linear equation:

1.1x + 0.40y = 87    ......equation 1

x + y = 130              ......equation 2

From equation 2, we have:

y = 130 - x        ......equation 3

Substituting equation 3 into equation 1, we have:

1.1x + 0.40(130 - x) = 87

1.1x + 52 - 0.4x = 87

0.7x + 52 = 87

0.7x = 87 - 52

0.7x = 35

x = 35/0.7

x = 50 chocolate bars.

Read more on equation here: https://brainly.com/question/14776651

#SPJ1

Because sample statistic is a numerical descriptive measure of a sample, every time that we randomly select observations, the sample statistics may be a different value. True False

Answers

True, the sample statistics may have a different value for each observation that is randomly chosen since they are a numerical explanatory measure of a sample.

Using sample data, a statistic is a quantitative descriptive measure. A parameter is a quantitative way to describe a population. Since whole populations (N) aren't always possible, we must rely on samples (n) as well as the statistics that can be calculated from them.

The mean, median, & mode, which are utilized at practically all math and statistics levels, are the most well-known forms of descriptive statistics. By summing together all the data set's figures & then dividing the total number of figures, the mean or average can be derived.

Learn more about statistical sampling at

https://brainly.com/question/29490427?referrer=searchResults

#SPJ4

Please help ASAP 100 points and the brainiest
Match the number and nature of the solutions to each equation.
1.2x2 – 6x – 8 a.one rational
2.3x2 – 5x – 3 b.two complex
3.x2 – 14x + 49 c.two irrationals
d.two rationals

Answers

answer:1) d2) c3) a 1) 2x²-6x-8=0 2(x²-3x-4)=0 (x²-3x-4)=0 (x-4)(x+1)=0 x= 4, x= -1 (2 rational numbers)

2) 3x²-5x-3=0 use the formula:「 [-b±✓(b²-4ac)]/2a」 while a= 3,b= -5,c= -3 x= [-(-5)±✓((-5)²-4(3)(-3))]/2(3) x= 2.135... , x= -0.4684... (2 irrational numbers, because they can't change to fraction)

3) x²-14x+49=0 (x-7)²=0 x=7 (1 rational number)
Other Questions
g describe what a merger is and then explain the difference between a vertical merger and a horizontal merger. do some searching and give one example of a recent merger of 2 companies. you administer a netbios-based network that uses the tcp/ip protocol. you are trying to troubleshoot a computer that is unable to contact a server by its netbios name. which command can you use to check the connection? pleaze some one help me :( carrie likes to shop at her local discount retailer because it has a policy of always having the lowest list price on an item instead of relying on putting items on sale at various times. what kind of pricing policy does this store use? If 1 liter is approximately equal to 1.06 quarts, about how many quarts are in 28.5 liters Which cerebral lobe is responsible for voluntary motor function, motivation, memory, mood, and aggression?. what is complement? in what ways is complement activation initiated and what are the functions of complement? g despite the considerable emphasis that most companies and other types of organizations put on communication, why do you think that many employees feel there is inadequate communication with and from their managers? 2. assume that you are now working in the first, truly management position in your career. what is likely to be the most important communication issue/problem you will face in the first few months in that position? 3. will the probable continued increase in electronic communication within and between organizations be likely to increase or decrease the communication issues/problems faced by the typical manager? explain the reasoning behind your answer. 4. how can knowledge of the basics of negotiation assist managers in doing their day-to-day activities, especially in regard to exercising leadership and influence? can you provide examples? someone who is researching different types of smoking cessation strategies and tools (such as coaching, nicotine gum, and nicotine patches) is in which stage of the transtheoretical model? imagine you are resting comfortably after a long day of work. what is the most likely state of your peripheral nervous system? Keynesian economic theory calls for _________ to counter _________.a. diplomacy; warb. increased warfare; economic depressionsc. decreased government spending; economic downturnsd. increased government spending; economic downturns Partial bonding, for example, as part of a resonance hybrid, often results in structures with _____. dave was arrested for and convicted of a drug-related offense. because of his history of drug problems, he has been referred by the court for drug dependence treatment. drug dependence treatment has been shown to be: work retirement plan provides a lump sum at retirement that is dependent on the employee choices, the market, and employer contributions hdfs in a biology class, students conducted an experiment to see how substances move from the small intestine into the bloodstream. in an experimental animal, they tied off three sacs in the small intestine and labeled them a, b and c. the sacs were filled with salt solution (nacl) at the following concentrations:sac a-0 .75%; sac b-1. 0%; and sac c-1.25%. in blood plasma, the usual concentration of nacl is about 1.0%. celine has been having difficulty sleeping, cannot seem to concentrate at work, is sad most of the time, and seems to have lost interest in things that she always used to enjoy. which disorder is celine most likely suffering from? question 10 options: 1) cyclothymic disorder 2) major depressive disorder 3) bipolar disorder 4) borderline personality disorder based on the law of supply and demand, how are these two ideas related? how can a fake news story go from a "tweet" to national news? a firm that wants to distribute its products as widely in a market as possible would use a(n) distribution strategy. how many atoms are there in one molecule of h3po4 ? how many atoms of each element are there in one molecule of h3po4 ? how many atoms are there in one molecule of ? how many atoms of each element are there in one molecule of ?