Mathematics College

Which of the following equations describes the line shown below? Check all
that apply.
(-6,4)
(3,1)

Answers

Answer 1

Answer:

y-4=-1/3(x+6)

y-1=1/3(x-3)

Step-by-step explanation:

4-1/-6-3

3/-9

-1/3

y-4=-1/3(x+6)

y-1=1/3(x-3)

Related Questions

For each ordered pair, determine whether it is a solution to x=-3.

Answers

Answer: no, no, no, yes

Step-by-step explanation:

x=-3 is a vertical line. It goes straight up and down at x=-3. In order for the points to be on this line, the x-axis has to be -3. Looking at all the choices, all points are not a solution with the exception of (-3,0) which is right on the line.

Answer:

no no no yes

Step-by-step explanation:

i think

Which best describes her prediction?

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There is no picture or anything but it’s ok .

What sentence represents the number of points in the problem below?
A test is worth 50 points. Multiple-choice questions are worth 1 point, and
short-answer questions are worth 3 points. If the test has 20 questions, how
many multiple-choice questions are there?

Answers

Answer:

Choice D.

Step-by-step explanation:

The number of points is obtained by the number of points of each multiple choice question times the number of multiple choice questions added to the number of points of each short answer question times the number of short answer questions.

Since the total number of points is 50, then the number of points from the multiple choice questions plus the number of points from the short answer questions add up to 50 points.

Answer: Choice D.

Answer:

Step-by-step explanation:

The number of points is 50, and short answer questions are 3 pts. Multiple choices are 1 pts.

So we have 3s+m=50

5. The equations are written in point-slope form. Which equation represents a line through points (-8, 3) and (-2, -3)?
O y-3 =-1(x+8)
Oy - 3=3(x+8)
O y-3 =-3(x+8)
Oy-3 = 1(x+8)

Answers

Answer:

y-3 =-1(x+8)

Step-by-step explanation:

The equation of a line is passing through two points is given by

(Y-y1)/(x-x1)= (y2-y1)/(x2-x1)

The points are (-8, 3) and (-2, -3)?

Y1= 3

Y2 = -3

X1= -8

X2 = -2

(Y-y1)/(x-x1)= (y2-y1)/(x2-x1)

(Y-3)/(x-(-8)) = (-3-3)/(-2-(-8))

(Y-3)/(x+8)= (-6)/(6)

(Y-3)/(x+8)= -1

Y-3= -1(x+8)

Heights of Women. Heights of adult women are distributed normally with a mean of 162 centimeters and a standard deviation of 8 centimeters. Use the Table B.3 Areas under the Normal Curve (page 519 of the textbook) to find the indicated quantities: a) The percentage of heights less than 150 centimeters b) The percentage of heights between 160 centimeters and 180 centimeters

Answers

Answer:

a) 6.68% of heights less than 150 centimeters

b) 58.65% of heights between 160 centimeters and 180 centimeters

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 162, \sigma = 8[/tex]

a) The percentage of heights less than 150 centimeters

We have to find the pvalue of Z when X = 150. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{150 - 162}{8}[/tex]

[tex]Z = -1.5[/tex]

[tex]Z = -1.5[/tex] has a pvalue of 0.0668

6.68% of heights less than 150 centimeters

b) The percentage of heights between 160 centimeters and 180 centimeters

We have to find the pvalue of Z when X = 180 subtracted by the pvalue of Z when X = 160.

X = 180

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{180 - 162}{8}[/tex]

[tex]Z = 2.25[/tex]

[tex]Z = 2.25[/tex] has a pvalue of 0.9878

X = 160

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{160 - 162}{8}[/tex]

[tex]Z = -0.25[/tex]

[tex]Z = -0.25[/tex] has a pvalue of 0.4013

0.9878 - 0.4013 = 0.5865

58.65% of heights between 160 centimeters and 180 centimeters

The city of Oakdale wishes to see if there is a linear relationship between the temperature and the amount of electricity used (in kilowatts). Using the estimated regression equation found by using Temperature as the predictor variable, find a point estimate Kilowatt usage when the Temperature is 90 degrees outside?

Answers

The question is incomplete. The complete question is as follows.

The city of Oakdale wishes to see if there is a linear relantionship between the temperature and the amount of electricity used (in kilowatts). Using the estimated regression equation found by using Temperature as the predictor variable, find a pont estimate Kilowatt usage when the Temperature is 90 degrees outside?

Temperature(x) Kilowatts(y)

73 680

78 760

85 910

98 1510

93 1170

83 888

92 923

81 837

76 600

105 1800

Answer: The point estimate is 1132.5 Kilowatts

Step-by-step explanation: Regression analysis is used to find an equation that fits the data. Once this equation is found, it's used to make predictions. One of the regressions is linear regression.

To find the linear regression model:

1) Create a table with the following: ∑y; ∑x; ∑xy; ∑x²; ∑y²;

2) Use these equations to find coefficients a and b:

a = (∑y)(∑x²) - (∑x)(∑yx) / n(∑x²) - (∑x)²

b = n(∑xy) - (∑x)(∑y) / n(∑x²) - (∑x)²

3) Substitute the coefficients into the equation of form: y = a + bx

For the table above, the linear regression equation is:

y = - 2004 + 34.85x

When Temperature is 90, i.e. x = 90:

y = - 2004 + 34.85*90

y = 1132.5

The estimate Kilowatt is 1132.5.

A contractor is considering whether he should take on a project that promises a profit of $8800 with a probability of 0.83 or a loss (due to bad weather, strikes, etc.) of $2900 with a probability of 0.17. What is the expected profit for the contractor

Answers

Answer: 6811

Step-by-step explanation:

in this problem the values are 8800 and -2900 and the respective probabilities are 0.83 and 0.17

so the expected profit o# sum = (x*P(x))=8800*(0.83)+(-2900)*(0.17)=6811

A taxi company charges based on the function rule P(t) = 0.5t + 2.5, where t is the
time taken for a trip (in minutes) and P(t) is the amount in dollars. If a trip takes 30 minutes, how much will it cost the client?

Answers

Answer:

$17.5

Step-by-step explanation:

hello,

we need to compute P(30)

P(30) = 0.5*30 + 2.5 = 15 + 2.5 = 17.5

hope this helps

Sophie has 60 pencils. How many blunt pencils does she have if the ratio of
sharpened pencils to blunt pencils is 4:1?

Answers

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex]\frac{60}{4+1}[/tex]

[tex]\frac{60}{5} =12[/tex]

[tex]4:1[/tex]

[tex]4 \times 12: 1 \times 12[/tex]

[tex]48:12[/tex]

a. Draw a geometric diagram of this scenario using two parallel lines and one
transversal. (Remember that a transversal is a line which cuts across
parallel lines.) Label the angles, parallel lines, and transversal as indicated
in the diagram above.

Answers

Answer:

See Attachment

Step-by-step explanation:

I have attached the geometric diagram of the scenario below.

Lines t and u are the two parallel linesLine v is the transversal line.The angles which t makes with v are 1 and a respectively.The angles which u makes with v are b and 2 respectively.

parallel lines = lines t and u, transversal line = line v, the angles which t makes with v are 1 and a, the angles which u makes with v are b and 2.

what is between 1/3 and 7/8 answer

Answers

Answer:

The number which is exactly in between 1/3 and 7/8 will be their average. The average = (1/3 + 7/8) / 2 = (8/24 + 21/24) / 2 = (29/24) / 2 = 29/48.

could you help me with this problem

Answers

Answer:

For x

We use cosine

cos 45° = 2/x

After solving

x = 2√2

Since we have the value of x we use it to get the value of y

we use cosine

cos 60° = 2√2/y

y =2√2/cos 60

y = 4√2

We use Pythagoras theorem to find z

(4√2)² = (2√2)² + z²

z² = 32 - 8

z² = 24

z = √24

z = 2√6

Therefore x = 2√2

y = 4√2

z = 2√6

Hope this helps.

an oil company conducts a geological study that indicates that an exploratory oil well should have a 20% chance of striking oil. assuming independence, what is that probability that the third strike comes on the seventh well drilled

Answers

Answer:

4.92% probability that the third strike comes on the seventh well drilled

Step-by-step explanation:

For each drill, there are only two possible outcomes. Either it is a strike, or it is not. Each drill is independent of other drills. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% chance of striking oil.

This means that [tex]p = 0.2[/tex]

What is that probability that the third strike comes on the seventh well drilled

2 stikers during the first 6 drills(P(X = 2) when n = 6)[/tex]

Strike during the 7th drill, with 0.2 probability. So

[tex]P = 0.2P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{6,2}.(0.2)^{2}.(0.8)^{4} = 0.2458[/tex]

Then

[tex]P = 0.2P(X = 2) = 0.2*0.2458 = 0.0492[/tex]

4.92% probability that the third strike comes on the seventh well drilled

Verify the identity. Please explain step by step.

Answers

Step-by-step explanation:

sin²α − sin⁴α

Factor out sin²α.

sin²α (1 − sin²α)

Use Pythagorean theorem.

(1 − cos²α) cos²α

Distribute.

cos²α − cos⁴α

Give the equation of the line parallel to a line through (-3, 4) and (-5, -6) that passes through the origin. y = 5x

Answers

Answer:

y = 5x

Step-by-step explanation:

First, find the slope of the first equation by doing rise/run

This gets you -10/-2 or 5

A parallel line will have the same slope. Since it goes through the origin, the y-intercept and b value will be zero

The equation will be y = 5x

Rectangle is 5ft in length and 3 ft in height. What is the area of the rectangle

Answers

15ft because 5 x 3 is 15

Answer: 15

Step-by-step explanation:

to find the area multiply the length by height

in this case it’s 5ft and 3ft

5 • 3 = 15

A=15

A restaurant sees about 600 orders on Tuesday. This is down from last Tuesday by about 0.85%. How many did they see last Tuesday

Answers

Answer:

Number of orders seen on last Tuesday = 605

Step-by-step explanation:

Number of orders seen on Tuesday = 600

It is given that it is 0.85% less than last Tuesday.

Let number of sales on last Tuesday = [tex]x[/tex]

As per question statement:

Number of order on last Tuesday - 0.85% of Number of order on last Tuesday = 600

i.e. if we subtract 0.85% of x from x, it must be equal to 600.

[tex]x-\dfrac{0.85}{100}x =600\\\Rightarrow x-\dfrac{0.85}{100}x =600\\\Rightarrow \dfrac{100-0.85}{100}x =600\\\Rightarrow \dfrac{99.15}{100} \times x =600\\\Rightarrow x =\dfrac{600\times 100}{99.15}\\\Rightarrow x =\dfrac{60000}{99.15}\\\Rightarrow x \approx 605[/tex]

So, there were about 605 order seen last Tuesday.

What do you want to find out? > The rate at which Bill puts shringles on a rood. What do you know? > Bill and Chip each finished half of the roof. > Bill needs 7 hours to put the same number of shingles on the roof that Chip does in 4 hours. > For each worker, the time multiplied by the rate equals the number of shringles > Chip's rate is 30 shringles more per hour than Bill's rate. What is Chip's rate in terms of Bill's rate? Let b = Bill's rate. Chip's rate = Bill's rate (b) ( - ) ( 4 ) ( 30 ) ( 7 ) ( + )

Answers

Answer:

(a) b = (4/7)c

(b) Bill: 40 shingles/hour; Chip: 70 shingles/hour

Step-by-step explanation:

Let b and c represent Bill's and Chip's rates in shingles per hour, respectively. Then we have ...

7b = 4c

c - b = 30 . . . . shingles per hour difference in rates

(a) Bill's rate in terms of Chip's rate can be found by dividing the first equation by 7

b = (4/7)c . . . . . Bill's rate is 4/7 of Chip's rate

(b) To find the rates, we can multiply the second equation by 7 and substitute using the first equation:

7c -7b = 210

7c -4c = 210

c = 210/3 = 70

b = (4/7)(70) = 40

Bill's rate is 40 shingles per hour; Chip's rate is 70 shingles per hour.

2 Points
If f(x) = x + 8 and g(x) = -4x - 3, find (f+ g)(x).
O A. (f+ g)(x) = -3x + 5
O B. (f+ g)(x) = 5x + 11
O C. (f+g)(x) = -5x - 11
O D. (f+ g)(x) = 3x - 5
SUBMI

Answers

Answer: A

Step-by-step explanation:

(f+g)(x) means f(x)+g(x). Since we are given f(x) and g(x), we cna add them together.

x+8+(-4x-3)

x+8-4x-3

-3x+5

s the last book a person in City Upper A read a discrete random variable, continuous random variable, or not a random variable? A. It is a continuous random variable. B. It is a discrete random variable.

Answers

Answer:

Not a random variable

Step-by-step explanation:

The last book a person read in City A is not a random variable because it is not a number as there is no numerical description for the outcome of this experiment.

Thus, the last book read by someone in City A is not a random variable.

Answer:

not random

Step-by-step explanation:

Can someone please help me?

Answers

Answer:

''0 is neither a rational number nor an irrational number.''

Step-by-step explanation:

Zero is a rational number. Zero can be written as a fraction, where p/q = 0, where p = 0 and q is any non-zero integer. Hence, 0 is a rational number.

A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 875.00 cubic feet. The cost of wall paint is $0.08 per square foot and the cost of ceiling paint is $0.14 per square foot. Find the room dimensions that result in a minimum cost for the paint.

Answers

Answer:

The room dimensions for a minimum cost are: sides of 10 feet and height of 8.75 feet.

Step-by-step explanation:

We have a rectangular room with sides x and height y.

The volume of the room is 875 cubic feet, and can be expressed as:

[tex]V=x^2y=875[/tex]

With this equation we can define y in function of x as:

[tex]x^2y=875\\\\y=\dfrac{875}{x^2}[/tex]

The cost of wall paint is $0.08 per square foot. We have 4 walls which have an area Aw:

[tex]A_w=xy=x\cdot \dfrac{875}{x^2}=\dfrac{875}{x}[/tex]

The cost of ceiling paint is $0.14 per square foot. We have only one ceiling with an area:

[tex]A_c=x^2[/tex]

We can express the total cost of painting as:

[tex]C=0.08\cdot (4\cdot A_w)+0.14\cdot A_c\\\\C=0.08\cdot (4\cdot \dfrac{875}{x})+0.14\cdot x^2\\\\\\C=\dfrac{280}{x}+0.14x^2[/tex]

To calculate the minimum cost, we derive this function C and equal to zero:

[tex]\dfrac{dC}{dx}=280(-1)\dfrac{1}{x^2}+0.14(2x)=0\\\\\\-\dfrac{280}{x^2}+0.28x=0\\\\\\0.28x=\dfrac{280}{x^2}\\\\\\x^3=\dfrac{280}{0.28}=1000\\\\\\x=\sqrt[3]{1000} =10[/tex]

The sides of the room have to be x=10 feet.

The height can be calculated as:

[tex]y=875/x^2=875/(10^2)=875/100=8.75[/tex]

The room will have sides of 10 feet and a height of 8.75 feet.

Write the slope-intercept inequality for the graph below. If necessary, use <=
for s or >= for 2.
(5,0)
(0,-3)

Help please

Answers

Answer:

Slope intercept y>=3/5x-3

Step-by-step explanation:

Slope intercept of the line: y=3/5x-3

Shaded above, so y>=3/5x-3

find the value of ∛27

Answers

Answer:

Step-by-step explanation:

3^3 = 27

A game require rolling a six sided die numbered fro 1 to 6. What is the probability of rolling a 1 or a 2?

Answers

Answer:

1/3

Step-by-step explanation:

hello,

probability of 1 = 1/6

probability of 2 = 1/6

probability of 1 or 2 = 1/6+1/6 as probability of 1 and 2 = 0

so the answer is 2/6=1/3

In which set does -15/2 belong? Answer choices: Rational numbers

Integers

Whole numbers

All of the above

Answers

Answer:

Rational numbers

Step-by-step explanation:

When an integers or a whole number is divided by another integer or whole number the result is a whole number.

Hence [tex]\frac{-15}{2}[/tex] is a rational number

This is because both -15 and 2 are integer numbers

Answer:

rational

Step-by-step explanation:

Please answer this correctly

Answers

Answer:

Skateboard:

Scooter:

Bike:

Step-by-step explanation:

19 + 14 + 17 = 50 (there were 50 customers)

19 out of 50 = 38%

14 out of 50 = 28%

17 out of 50 = 34%

Hope this helps!

in a classroom 5/8 of the students are wearing blue shirts and 1/4 for wearing white shirts there are 24 students in the classroom how many are wearing shirts other than blue shirts and

Answers

Answer:

Step-by-step explanation:

Those wearing a shirt of another color are ...

1 - 5/8 -1/4 = 8/8 -5/8 -2/8 = 1/8

of the total number of students in the classroom

(1/8)×(24 students) = 3 students . . . . wearing another color

_____

Alternate solution

With the given information, you know ...

(5/8)(24) = 15 . . . students wear blue

(1/4)(24) = 6 . . . . students wear white

24 -15 -6 = 3 . . . students wear another color

A box containing 15 DVDs is selling for $156.00. The box contains some

DVDs worth $11.00 each and some DVDs worth $9.00 each. Which system of

equations can be used to determine x, the number of $11.00 DVDs, and y, the

number of $9.00 DVDs?

Answers

Answer:

Step-by-step explanation:

x + y = 15

11x + 9y = 156

in a bag there are 2 red, 3 yellow, 4 green, 6 blue marbles.
what is the probability of p (blue)?

Answers

Answer:

2/5

Step-by-step explanation:

2 red, 3 yellow, 4 green, 6 blue marbles. = 15 marbles

P( blue) = blue / total

=6/15

=2/5

Other Questions

Which of the following equations describes the line shown below? Check all that apply. (-6,4) (3,1)

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Related Questions

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Which of the following equations describes the line shown below? Check all
that apply.
(-6,4)
(3,1)