Please help me ASAP!!
Create a graph of this situation.
Show that the equation (y = mx + b) of this graph equals an= -30 + (n - 1)5

Please Help Me ASAP!!Create A Graph Of This Situation. Show That The Equation (y = Mx + B) Of This Graph

Answers

Answer 1

The equation (y = mx + b) of this graph is equal to the equation for this arithmetic sequence aₙ =  a₁ + (n - 1)d

How to calculate an arithmetic sequence?

Mathematically, the nth term of an arithmetic sequence can be calculated by using this mathematical expression:

aₙ =  a₁ + (n - 1)d

Where:

d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.

For the 10th term, the equation for the arithmetic sequence is given by;

a₁₀ =  a₁ + (n - 1)d

15 =  a₁ + (10 - 1)d

15 =  a₁ + 9d

For the 14th term, the equation for the arithmetic sequence is given by;

a₁₄ =  a₁ + (n - 1)d

35 =  a₁ + (14 - 1)d

35 =  a₁ + 13d

Next, we would determine the common difference as follows;

a + 9d = 15

a + 13d = 35

-4d = -20

Common difference, d = -20/-4

Common difference, d = 5.

For the first term of this arithmetic sequence, we have;

a + 9d = 15

a + 9(5) = 15

a = 15 - 45

First term, a = -30

Finally, we would write an equation for the nth term of an arithmetic sequence as follows;

aₙ =  a₁ + (n - 1)d

aₙ =  -30 + (n - 1)5

Read more on arithmetic sequence here: brainly.com/question/24989563

#SPJ1

Please Help Me ASAP!!Create A Graph Of This Situation. Show That The Equation (y = Mx + B) Of This Graph

Related Questions

type 1500 words in 30 minutes __ words per minute

Answers

Answer:

50

Step-by-step explanation:

1500/30=50

Answer:

50 words per minute

brainliest plss

in triangle VWX, x=41 cm, v=17 cm and angle W =134 degrees. find the length of w, to the nearest centimeter

Answers

The length of w, to the nearest centimeter is 54.20 cm if in triangle VWX, x=41 cm, v=17 cm and angle W =134 degrees.

What is the triangle?

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

in triangle VWX, x=41 cm, v=17 cm and angle W =134 degrees.

Using cos law:

W = √(41² + 17² - 2×41×17 cos 134)

After solving:

W = 54.20 cm

Thus, the length of w, to the nearest centimeter is 54.20 cm if in triangle VWX, x=41 cm, v=17 cm and angle W =134 degrees.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

decrease £16855.21 by 3.5% rounded to 2 dp

Answers

The lowered value will thus be £16265.28.

What is the percentage?

A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.

Therefore, the decreased sum is: 16265.2777 = 16855.21 - (16855.21 3.5/100) = (16855.21 - 589.93235).

Next, we'll round the number to two decimal places: 16265.2777, 16265.278, and 16265.28

Hence, The lowered value will thus be £16265.28.

Learn more about percentage, by the following link.

https://brainly.com/question/24304697

#SPJ4

The dimensions of a room with one window and one door are shown. Ivan wants to have the four walls painted. The painter says the area is 542.2 square feet.


PLEASE HELP ASAPPP!!! THX (multi-answer)

Answers

A reasonable estimation of the total area of the room to be painted is:

A. 2[(30+40) x 8] = 2(70 x 8) = 2 x 560 = 1,120 ft²E. [2(40) x 8] + [2(30) x 8] = 640 + 480 = 1,120 ft².

What is an estimation?

Estimation involves the approximation of values with number rounding.

Estimates make it easier to do some mathematical operations involving fractions or decimals.

What is the area?

The area is the space occupied by a two-dimensional object.

The area is always the product of the length and width (height or depth).

Given the dimensions of the room:

Length of one side = 29¹/₂ ft

Height of the four sides = 8 ft

Length of the second side = 38³/₈ ft

Based on estimation, the dimensional values are approximated to:

Length of one side of the rectangular room = 30 ft

Height of the four sides = 8 ft

Length of the second side of the rectangular room = 40 ft

There are four walls for the room, and we can deduct the areas of the door and window, but these are not given, so we ignore them.

The area of the four walls can be computed as follows:

Area of two sides with same dimensions = 480 ft² [2(30 x 8)]

Area of two sides with same dimensions = 640ft² [2(40 x 8)]

Total area = 1,120 ft² (480 ft² + 640 ft²)

Thus, the options that satisfy the estimated area of the four walls of the room are Options A and E.

Learn more about estimation and area at https://brainly.com/question/28716731

#SPJ1

Charlie went to purchase a new pair of
boots that were originally marked $89.
When he checked out they rang up $62.50.
What percent discount did Charlie
receive on the new boots?

Answers

30% was the discount recived

how many different 12-bit strings begin with 0101, end with 1100 or have 0110 as the four middle bits?

Answers

There are 4 different 12-bit strings possible that begin with 0101, end with 1100 or have 0110 as the four middle bits.

We have to find the number of 12-bit strings that are starting with 0101, end with 1100 or have 0110 in the middle bits.

So, the first four position are reserved for 0101 and we have two options for the middle four bits and the end four positions.

So, we can write here,

Total possible different positions for 1100 and 0110 is,

= 2 x 2

= 4

Because, the two combination can appear simultaneously or they can appear one by one.

So, the total different 12-bit strings possible that have 0101 in the start, 1100 in the end or 0101 in the middle are 4.

To know more about combinations, visit,

https://brainly.com/question/28065038

#SPJ4

Complete the following (use the straight-line method): Auto: $40,000 Residual: $4,000 Estimated life: 5 years Year Cost Depreciation Accumulated Book Expense Depreciation Value

Answers

After 5 years the depreciation cost is $7200; accumulated depreciation expense is $36000 and book value at the end of year is $4000.

Given,

Cost of auto =$40,000

Residual value =$4000

Estimated lifetime =5 years

Straight-line Method:-

Depreciation cost can be calculated by formula,

[tex]Depreciation=\frac{cost\ of\ assest-residual}{estimated\ lifetime}[/tex]

It is constant for every year.

Accumulated depreciation can be calculated by formula,

[tex]Accumulation\ Depreciation=\frac{cost\ of\ assets-residual}{estimated\ lifetime}*Number\ of\ years[/tex]

Book value at start of year is nothing the cost of asset at that year and Book value at end of year is difference between  cost of asset at that year and depreciation cost.

Using the above formulas all the values for each year is caculated and formed into a table.

Year      BookValue     DepreciationCost     Accumulation    Book Value

                  Start                                                                              End

1         $40,000               $7,200.00                $7,200           $32,800

2         $32,800                $7,200.00                $14,400           $25,600

3         $25,600               $7,200.00              $21,600           $18,400

4         $18,400               $7,200.00              $28,800           $11,200

5          $11,200           $7,200.00                       $36,000           $4,000

Thus, after 5 years the depreciation cost is $7200; accumulated depreciation expense is $36000 and book value at the end of year is $4000.

To learn more about straight-line method refer here

https://brainly.com/question/14015623

#SPJ4

3x+12=-5x+28 necesito ayuda para mi examen please

Answers

Answer:

x = 2

Step-by-step explanation:

3x + 12 = -5x + 28

3x + 12+ 5x = -5x + 28 + 5x

8x + 12 = 28

8x + 12 - 12 = 28 - 12

8x = 16

8x/8 = 16/8

x = 2

PLEASE HELP


The variable y varies jointly with x and w when y = -42, x = 2, and w = -3.


1.) Find the constant of variation.


k =


2.) Find w when y = 3 and x = 1/14


w =

Answers

Answer:

1).  The constant of variation is 7

2).  w = 6 for the given values of x and y

Step-by-step explanation:

"Varies jointly" tells us that y is a direct result of a mathematic operation involving x and w.  We will assume y is directly prorportional to x and w, in the sense that we can find a multiplicative relationship of the form y=Kxw, where K is the constant of variation.

We are given one data point:  y=-42 where x is 2 and w is -3.  Let's put those values into our trrial expression:

y=Kxw

-42=K(2)(-3)

-42 = -6K

K = 7

The expression becames  y = 7xw

The constant of variation is 7.

The value of w for y=3 and x=(1/14) would be:

 

  y=7xw

  3 = 7*(1/14)*w

3 = (1/2)*w

w = 6

Answer:

1)  k = 7

2)  w = 6

Step-by-step explanation:

Joint variation equation

If y varies jointly with x and w:

[tex]\boxed{y \propto xw \implies y=kxw}[/tex]

for some constant k.

Given:

y = -42x = 2w = -3

Substitute the given values into the joint variation equation and solve for k:

[tex]\begin{aligned}y&=kxw\\\implies -42&=k \cdot 2 \cdot -3\\-42&=-6k\\k&=\dfrac{-42}{-6}\\k&=7\end{aligned}[/tex]

Therefore, the equation is:

[tex]\boxed{y=7xw}[/tex]

To find w when y = 3 and x = 1/14, substitute these values into the found equation and solve for w:

[tex]\begin{aligned}y&=7xw\\\implies 3&=7 \cdot \dfrac{1}{14} \cdot w\\3&=\dfrac{7}{14} \cdot w\\42&=7w\\w&=6\end{aligned}[/tex]

Which of the following graphs could represent a quartic function?

Answers

On the assumption that each curve has only real roots, the quartic function is the graph C.

What graph does represent a quartic equation?

In this question we have four choices of graphs of polynomials, that is algebraic expressions of the form:

p(x) = Σ cₙ · xⁿ, for n = {0, 1, 2, 3, ..., m - 1, m}

Where m is the grade of the polynomial.

The factor form of the polynomial is described below:

p(x) = a · Π (x - rₙ), for n = {0, 1, 2, 3, ..., m - 1, m}

If we consider that each choice has real roots, then the grade of the polynomial coincides with the number of times that the curve pass through the x-axis. Then, the graph C represent a quartic function, that is, a polynomial with grade 4 with the special feature that is a function of the form f(x) = a · x² · (x - r₁) · (x - r₂).

To learn more on quartic functions: https://brainly.com/question/25285042

#SPJ1

Madelyn is a high school basketball player. In a particular game, she made some free throws (worth one point each) and some two point shots. Madelyn made a total of 13 shots altogether and scored a total of 21 points. Determine the number of free throws Madelyn made and the number of two point shots she made.

Answers

The number of free throws = 5

The number of two point shots = 8

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of free throws be = x

Let the number of two point shots be = y

The total number of shots made by Madelyn is = 13

So , the equation is

x + y = 13   be equation (1)

The total number of points scored by Madelyn is = 21

So , the equation is

x + 2y =   be equation (2)

On simplifying the equation , we get

Subtracting equation (1) from equation (2) , we get

2y - y = 8

y = 8

Therefore , the value of y is 8

And , The number of two points be = 8

Substituting the value for y in equation (1) , we get

x + y = 13

x + 8 = 13

Subtracting 8 on both sides of the equation , we get

x = 5

Therefore , the value of x is 5

And , the number of free throws is 5

Hence , The number of free throws = 5

The number of two point shots = 8

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ1

Find the determinant of the following matrix A by *only* using the 3 basic properties in Treil section 3 paragraph 3.1 (page 79), the determinant formula for triangular and diagonal matrices, and row or column operations. Explain your work. A= (1 0 2 0 3 0 1 2 3 4 1 0 3 0 5
0 0 0 2 4
1 0 3 0 8)

Answers

We must first transform matrix A into a triangular or diagonal matrix in order to determine its determinant.

Using the row operations to change the matrix, having three rows and five columns, in a triangular matrix, having three rows and three columns.

combining the first and second rows, then the first and third rows:

(1 0 2 0 3 0 1 2 3 4 1 0 3 0 5         (1 0 0 2 4            (1 0 3 0 8        (3 0 5 2 11

  0 0 0 2 4                                +   0 0 0 2 4)    +     1 0 3 0 8)   =   0 0 0 2 4

   1 0 3 0 8)                                                                                      2 0 6 0 16)

subtracting the second and third rows from the first row

We get a triangular matrix

(3 0 5 2 11           (0 0 0 2 4        (2 0 6 0 16             (1 0 5 0 3

0 0 0 2 4      -     0 0 0 2 4)    -    2 0 6 0 16)     =     0 0 0 2 4

2 0 6 0 16)                                                                 0 0 0 0 0)

Now that the matrix is triangular, we can use the determinant formula for triangular matrices, which states that the determinant of a triangular matrix is equal to the product of the diagonal elements. The diagonal elements of matrix A are 1, 0, and 0, so the determinant of matrix A is 0.

Therefore, the determinant of matrix A is 0, and we can find it by only using the three basic properties in Treil section the determinant formula for triangular and diagonal matrices, and row or column operations.

To learn more about determinants: https://brainly.com/question/24254106

#SPJ4

Professor Very Busy needs to allocate time next week to include time for office hours. He needs to forecast the number of students who will seek appointments. He has gathered the following data:
Week #Students
6 Weeks ago 83
5 Weeks ago 110
4 Weeks ago 95
3 Weeks ago 80
2 Weeks ago 65
Last Year 50
What is this week's forecast using the naive approach? Assume that a decreasing trend in student appointments exists.
Other than the original data point 6 weeks ago, there is a clear trend over the last 5 weeks with continuously decreasing demand, so this week's forecast is last week's demand plus the difference between last week's demand and the demand two weeks ago. 50 + (50 - 65) = 35

Answers

Professor Very Busy needs to allocate time next week to include time for office hours then TAF(Week 7) = S(Week 6) + T(Week 6) = 57.5 + (-5.5) = 52.0

Smooth the pattern as well as the arrangement to get the outlook this year.

S(Week 5) = TAF(Week 5) + alpha*(Actual(Week 5) - TAF(Week 5))

                = 75 + 0.5(65 - 75) = 70

S(Week 6) = TAF(Week 6) + alpha*(Actual(Week 6) - TAF(Week 6))

                = 65 + 0.5(50 - 65) = 57.5

T(Week 6) = T(Week 5) + beta*(TAF(Week 6) - TAF(Week 5) - T(Week5))

               = -5 + 0.1(65 - 75 - (-5)) = -5 + (-0.5) = -5.5

Therefore, TAF(Week 7) = S(Week 6) + T(Week 6) = 57.5 + (-5.5) = 52.0

learn more about of forecast here

https://brainly.com/question/14633954

#SPJ4

y=-7x-1
Can you help me please, I need to graph it
thank you in advance

Answers

Answer:

The dots shown in the graph are the answers.

Step-by-step explanation:

Answer: (-0.25, .75)

students at a high school are asked to evaluate their experience in the class at the end of each school year. the courses are evaluated on a 1-4 scale – with 4 being the best experience possible. in the history department, the courses typically are evaluated at 10% 1's, 15% 2's, 34% 3's, and 41% 4's. mr. goodman sets a goal to outscore these numbers. at the end of the year he takes a random sample of his evaluations and finds 10 1's, 13 2's, 48 3's, and 52 4's. at the 0.05 level of significance, can mr. goodman claim that his evaluations are significantly different than the history department's?

Answers

No , as we fail to reject the null hypothesis Mr. Goodman claim that his evaluations are significantly different than the history department's.

What is null hypothesis?

Statistics is the study of research and surveys on numerical data in mathematics. In order to conduct surveys, the hypothesis must be established. There are typically two different kinds of hypotheses. A null hypothesis is one that holds true, whereas an alternate hypothesis is another.The null hypothesis is a broad assertion or default stance that there is zero happening or nothing happening in probability and statistics. For instance, there is no relationship between two measured occurrences or a connection between groups. Unless additional evidence has been presented to refute the theory, it is generally accepted that it is true in this context.

Test statistic  X2 =1.9196

p value =0.5893

No , as we fail to reject the null hypothesis Mr.Goodman claim that his evaluations are significantly different than the history department.

To know more about null hypothesis check the below link:

https://brainly.com/question/25263462

#SPJ4

If f(x)=x/3 and g(x)=6x+9 which is equal to f(g(x))

Answers

Answer:

f(g(x)) = 2x + 3

Step-by-step explanation:

f(g(x)) is called a composite function

To compute f(g(x)) simply substitute whatever g(x) definition is wherever there is an x in f(x)

We have [tex]g(x) = 6x + 9[/tex]

[tex]f(x) = \dfrac{x}{ 3}[/tex]

So instead of x just use 6x + 9 to get

[tex]f(g(x)) = \dfrac{6x+9}{3} = 2x + 3[/tex]

three factories produce light bulbs to supply the market. factory a produces 20%, 50% of the tools are produced in factory b and 30% in factory c. 2% of the bulbs produced in factory a, 1% of the bulbs produced in factory b and 3% of the bulbs produced in factory c are defective. a bulb is selected at random in the market and found to be defective. what is the probability that this bulb was produced by factory b?

Answers

0.27 = 0.0027% probability that this bulb was produced by factory B.

Given,

In the question:

Three factories produce light bulbs to supply the market. Factory a produces 20%, 50% of the tools are produced in factory B and 30% in factory C. 2% of the bulbs produced in factory A, 1% of the bulbs produced in factory b and 3% of the bulbs produced in factory C are defective.

We use the conditional probability formula to solve this question. It is

P(A|B) = P(A∩B) / P(A)

In which,

P(B|A) is the probability of event B happening, given that A happened.

P(A∩B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Bulb is defective.

Event B: Produced by factory A.

Probability of a bulb being defective.

2% of 20%(factory A)

1% of 50%(factory B)

3% of 30%(factory C). So

P(A) = 0.02 x 0.2 + 0.01 x 0.5 + 0.03 x 0.3

P(A) = 0.018

Defective and from factory B:

1% of 50%. So

P(A∩B) = 0.01 x 0.5 = 0.005

What is the probability that this bulb was produced by factory B?

P(A|B) = P(A∩B) / P(A)

P(A|B) = 0.005/ 0.018

P(A|B) = 0.27

Hence, 0.27 = 0.0027% probability that this bulb was produced by factory B.

Learn more about Probability at:

https://brainly.com/question/1717583

#SPJ4

A perfect square has length n if its last n digits (in base 10) are the same and non-zero. What is the longest possible length? What is the smallest square achieving this length?

Answers

The longest possible length is 3

The smallest square achieving this length : 38² = 1444.

Square:

A quadrilateral with four equal sides is called a square. There are numerous items in our environment that have a square shape. Equal sides and internal angles that are both 90 degrees distinguish each square shape. The complete length of a square's boundary is its perimeter. As a result, the length of each side can be added to determine the square's perimeter. Since a square has four sides, its perimeter may be calculated by adding all four of its sides. The space a square takes up is its area.

To learn more about square visit: https://brainly.com/question/28776767

#SPJ4

consider the following binomial experiment: a study in a certain community showed that 5% of the people suffer from insomnia. if there are 10,400 people in this community, what is the standard deviation of the number of people who suffer from insomnia? a) 520.00 b) 22.23 c) 50.99 d) 9880.00 e) 49400.00 f) none of the above.

Answers

The number of those who have insomnia has a standard deviation of 22.23.

Given,

People suffer from insomnia = 5%

Total number of people in the community = 10,400

We have to find the standard deviation of the number of people who suffer from insomnia;

Here,

p = 0.05

q = 0.95

n = 10,400

Then,

np = 10400 x 0.05 = 202

Now,

npq = 202 x 0.95 = 494

Standard deviation = √npq = √494 = 22.23

That is,

The standard deviation of the number of people who suffer from insomnia is 22.23

Learn more about standard deviation here;

https://brainly.com/question/14019280

#SPJ4

a ship is off course. if the ship is traveling at 11 miles per hour, how far off course will it be after 3 hours?

Answers

Ship travels 33miles in 3 hours.

What is distance?

Distance is the actual distance that a body travels. Additionally known as path length. For instance, the path length for an item going from point O to point P will be distance OP = 360 m. It is a scalar quantity, the distance. It lacks direction and just possesses magnitude.

Ship travels in one hour = 11miles

Therefore, Ship travels in 3 hours = 11×3

                                                         = 33miles

Hence, Ship travels 33 miles in 3 hours.

*SHIP OFF COURSE IS NOT GIVEN IN THE QUESTION.

Learn more about distance link below

https://brainly.com/question/26046491

#SPJ4

the height of seaweed of all plants in a body of water are normally distributed with a mean of 10 cm and a standard deviation of 2 cm.use excel to find which length separates the lowest 30% of the means of the plant heights in a sampling distribution of sample size 15 from the highest 70%? round your answer to the nearest hundredth.

Answers

The value of seaweed height that divides the bottom 30%  from the top 70% is 8.96 cm.

A normal distribution has symmetrically distributed data that is skew-free. As one proceeds away from the center, values tend to decrease and tend to cluster more frequently in that area. The mean, mode, and median of a normal distribution are all equal measures of central tendency.

Given data:

X: height of seaweed.

X~N (μ;σ²)

 μ= 10 cm    

 σ= 2 cm

 

We will calculate the value of the variable X that separates the bottom 0.30 of the distribution from the top 0.70

                P(X ≤ x) = 0.30

                P(X ≥ x) = 0.70

Now by using the standard normal distribution,

we have to find the value of Z that separates the bottom 0.30 from the top 0.70 and then use the formula

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

translates the Z value to the corresponding X value.

                    P(Z ≤ z) = 0.30

       

In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.

                    z= -0.52

             

Now you have to clear the value of X:

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

                  X= (Z * σ) + μ

             

                 X = (-0.52 * 2)

                     = 8.96

hence, the value of seaweed height that divides the bottom 30%  from the top 70% is 8.96 cm.

To learn more about normal distribution, visit the link below:

brainly.com/question/29433664

#SPJ4

Morgan has an investment worth $13000 after 20 years if his original investment was for $15000 what must the interest rate have been

Answers

Answer:

8%

Step-by-step explanation:

pls mark brainliest

Answer : The interest rate have been 8 %

Step-by-step explanation :

First we have to calculate the simple interest.

As we know that:

Simple interest = Total amount - Principle

Simple interest = $130,000 - $50,000

Simple interest = $80,000

Now we have to calculate the interest rate.

Using simple interest formula:

where,

S.I = simple interest = $80,000

P = principle = $50,000

R = interest rate = ?

T = time = 20 years

Now put all the given values in the above formula, we get:

Therefore, the interest rate have been 8 %

Found answer from Alleei!

Tim answered all the questions on the math test but got 10 wrong answers. He got 4 points for each correct answer, there were no penalty points for incorrect answers. His score was 76 points.

Write an equation to find the total number of questions (q) on Tim's math test

Answers

The equation to find the total number of questions (q) on Tim's math test is 76 = 4x + 0

How to write and solve equation?

Number of wrong questions = 10

Points received for right question = 4 points

Points received for wrong question = 0 points

Total of Tim's score = 76%

Let

the number of questions right answered by Tim be x.

Total points gained by Tim for the right answer = number of questions right answered x Points received for a right answer

= x × 4

= 4x

Points gained by Tim for the wrong answer = number of questions wrong answered x Points received for a wrong answer

= 10 × 0

= 0

Total points scored by Tim = Points gained for the right answer + Points gained for the wrong answer

76 = 4x + 0

76 = 4x

divide both sides by 4

x = 76/4

x = 19

Hence, the number of question answered right by Tim are 19.

Total number of questions attempted by Tim

Total number of questions attempted by Tim

= number of questions answered right +number of questions answered Wrong

= 19 + 10

= 29

Hence, the total number of questions attempted by Tim is 29.

Read more on test scores:

https://brainly.com/question/3126470

#SPJ1

the homework consists of 36 independent problems. if the time taken to answer each question is a random variable with mean 6 minutes and a standard deviation 3 minutes. suppose we want to find the probability that all 36 problems in the homework will be completed in less than 180 minutes. which of the following is incorrect?

Answers

the probability that all 36 problems in the homework will be completed in less than 180 minutes

P(∑[tex]\left \{ {{i=36} \atop {i=1}} \right.[/tex] [tex]X_{i}[/tex] < 180) = P(X<5) = P(Z<-1) = ∅(-1)

given that

there are 36 independent problems

mean(μ) = 6minutes

standard deviation(σ) = 3 minutes

sample standard deviation = σ/[tex]\sqrt{n}[/tex]

 = 3/[tex]\sqrt{36}[/tex]

 =3/6

 =0.5

the sample mean x of 36 questions answering time approximately follows a normal distribution with mean 6 minutes and sample standard deviation is 0.5 minutes

now we need to find the probability that all 36 problems in the homework will be completed in less than 180 minutes

P(∑[tex]\left \{ {{i=36} \atop {i=1}} \right.[/tex] [tex]X_{i}[/tex] < 180) = P(X<5) = P(Z<-1) = ∅(-1)

To learn more about standard deviation:

https://brainly.com/question/13905583

#SPJ4

Plot the points (6, 4) and (3, 2) and find the slope.​

Answers

Answer:

Slope is 2/3.

Step-by-step explanation:

I can't help you plot the points, but the slope formula is y2-y1/x2-x1.

2-4/3-6. -2/-3. This simplifies to 2/3.

suppose that a coin is tossed three times and the side showing face up on each toss is noted. suppose also that on each toss heads and tails are equally likely. let hht indicate the outcome heads on the first two tosses and tails on the third, tht the outcome tails on the first and third tosses and heads on the second, and so forth. (a) use set-roster notation to describe the elements in the sample space whose outcomes are all the possible head-tail sequences obtained in the three tosses. (b) Write each of the following events as a set, in set-roster notation, and find its probability. (i) The event that exactly one toss results in a head. set probability (ii) The event that at least two tosses result in a head. set probability (ii) The event that no head is obtained. set probability

Answers

a) SS = {HHH, THH, HTH, HHT, THT, TTH, HTT,  TTT} i) P(1 head) = 0.375 ii) P(at least 2 heads) = 0.5 iii) P(no heads) = 0.125.

Suppose that a coin is tossed three times and the side showing face up on each toss is noted. Suppose also that on each toss heads and tails are equally likely. Let HHT indicate the outcome heads on the first two tosses and tails on the third, THT the outcome tails on the first and third tosses and heads on the second, and so forth.

Given that

a) A coin is tossed three times and the side showing face up on each toss is noted.

The total number of possible outcome are 2³ = 8

The sample space is given by

SS = {HHH, THH, HTH, HHT, THT, TTH, HTT,  TTT}

b) Write each of the following events as a set, in set-roster notation, and find its probability.

(i)The event that exactly one toss results in a head.

In this case we need to include only those outcomes where we have exactly on head,

E(1 head) = {THT, TTH, HTT}

So there are 3 such outcomes, the probability is

P(1 head) = no. of desired outcomes/total number of outcomes

P(1 head) = 3/8

P(1 head) = 0.375

(ii) The event that at least two tosses result in a head

In this case we need to include only those outcomes where we have at least two heads which means two or greater than two,

E(at least 2 heads) = {HHH, THH, HTH, HHT}

So there are 4 such outcomes, the probability is

P(at least 2 heads) = 4/8

P(at least 2 heads) = 0.5

(iii) The event that no head is obtained.

In this case we need to include only those outcomes where we have no heads at all.

E(no heads) = {TTT}

So there is only 1 such outcome, the probability is

P(no heads) = 1/8

P(no heads) = 0.125

Hence the answer is a) SS = {HHH, THH, HTH, HHT, THT, TTH, HTT,  TTT} i) P(1 head) = 0.375 ii) P(at least 2 heads) = 0.5 iii) P(no heads) = 0.125.

To learn more about probability click here https://brainly.com/question/24756209

#SPJ4

sampling on campus. you see a woman student standing in front of the student center, now and then stopping other students to ask them questions. she says that she is collecting student opinions for a class assignment. explain why this sampling method is almost certainly biased.

Answers

Because the demographic group is dictated by location of the college. In this case the students are all college bound and have like socio ecconomic backgrounds.

What do you mean by sampling?

Sampling is the process of choosing the group from which you will actually collect data for your study. For instance, you could interview a sample of 100 students if you were examining the viewpoints of students at your university. With the help of sampling, you can test a statistical hypothesis on the features of a population.

According to the question,

A true sampling would be a mixed demographic group. A sampling from several like areas:

e.g. infront of the student store, infront of the regular store, infront if a food pantry, infront of ... or even better do a blind survey.

Because the demographic group is dictated by location of the college. In this case the students are all college bound and have like socio ecconomic backgrounds.

To learn more about sampling, visit:

https://brainly.com/question/15969003

#SPJ4

If f(x) = -x^2 + 3, Find f(-3)
x^2 means x to the power of 2

Answers

Answer:

-6

Step-by-step explanation:

-(-3)²+3

-9 + 3

-6

Solve using substitution.
y = 6x + 2
y = 6x 10

Answers

Answer:

Step-by-step explanation:

1/27,20/9

-7/8 is greater than or equal to m - 13/8

Answers

Answer:

Step-by-step explanation:

greater than

Answer: Greater than

Other Questions
a data analyst is evaluating data to determine whether it is good or bad. which qualities characterize good data? select all that apply. after reading the information in the iris module, answer the following questions: give a school-based example of each of the following: positive reinforcement, negative reinforcement, punishment, and extinction. (8 points) discuss at least two benefits of conducting an fba to address problem behaviors. (4 points) complete the consequence identification activity at the bottom of page 2 in the module. when you complete the activity, take a screen shot of your chart with responses to positive reinforcement, negative reinforcement, positive punishment, negative punishment, and extinction. (10 points) identify the four data collection methods discussed and the procedure. (10 points) Solve-3(2x+1)= 4(x-1) What was one of the cosequences of the inability of congress to taxthe states during the war? Please help now asap !!!!!!!!!!!!!!!!! A sample of oxygen was collected in a tube over water. In the tube, there is a mixture of oxygen gas and gaseous water (steam). The total pressure of the gas mixture is 760. Torr. If the pressure of gaseous water is 23. 8 torr, what is the pressure of the pure oxygen?. How would you expect the rate of speciation of an allopatric case to compare to the rate of speciation of a sympatric case involving formation of allopolyploid offspring?. the term advocated by conservative protestants who support the teaching of the biblical account of creation in public schools in addiction to or in place of the theory of evolution is A couch and coffee table cost a total of $1140. The cost of the couch is two times the cost of the coffee table. Find the cost of each item how much electrical energy does a small heating coil use if it runs for 5 minutes using a 12 volt power supply that provides 2.5 amperes of current? a 37-year-old woman with a two-year history of rheumatoid arthritis presents to the clinic for worsening joint pain. previously her disease had been well controlled on 10 mg weekly of methotrexate. you decide to advance her dose to 20 mg weekly to help control her synovitis. what changes in her health maintenance might you have to make with this change? What is the most common type of delusion experienced by people with a schizophrenia spectrum disorder?. determine the force in each member of the space truss and state if the members are in tension or compression. hint: the support reaction at e acts along member eb. why? Barry's final score is 45 which player had the greater final score? are units within an organization that receive services from other units within the organization solve the systems using substitution 1. y=10x 2x+y = 122. x=y+1 x+3y = 9 the diameter of earth is about 13,000 kilometer the diameter of the moon is about 3000 kilometer about how many times greater is the diameter of earth than the diameter of the moon? A 99% confidence interval for the ratio of two population standard deviations (sigma_1/sigma_2) ranges from 1.06 to 2.22. Based on this confidence interval,a. We can not make any meaningful statement about the difference between two population standard deviations.b. We can conclude that sigma_1 is larger than sigma_2.c. We can not conclude that there is a significant difference between the two population standard deviations. d. We could conclude that the sgima_2 is larger than the sigma_1. evaluate the expression for x=-3 Thank you[tex] {x}^{2 } - 2x + 4[/tex] what two policies do marketing managers typically choose between when deciding how to price their goods? (check all that apply.)