A table listing pairs of values for Length in feet represented by x and Cost in thousands of dollars represented by y. Length, or X values: 27, 18, 25, 32, 18, 26, 36. Cost, or Y values: 94, 56, 58, 123, 60, 87, 145.

a. Use a graphing calculator to find the equation of the line of best fit. Round the slope to the nearest tenth and the y -intercept to the nearest integer.

y= ______

b. Identify the correlation coefficient. Round to the nearest thousandth.

r=_________

Question 2
Interpret the correlation coefficient.

The data show a _______ correlation.

Question 3
c. Interpret the slope and the y -intercept of the line of best fit.


A.The slope, m , means the cost of a sailboat decreases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b , has no meaning because the length of the sailboat cannot be negative.

B.The slope, m , means the cost of a sailboat decreases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b , indicates the smallest length of a sailboat.


C.The slope, m , means the cost of a sailboat increases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b , has no meaning because the cost of the sailboat cannot be negative.


D.The slope, m , means the cost of a sailboat increases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b, indicates the initial cost of the sailboat.

Question 4
d. Use the model from part (a) to approximate the cost of a sailboat that is 20 feet long.

The sailboat costs $______.

e. Use the model from part (a) to predict the length of a sailboat that costs $147,000. Round to the nearest foot.

The length is about _______ feet.

Answer:

Therefore, sustainable development aims at sustaining the present level of resources and providing the present generation with good quality life where good quality of life refers to standard living with all necessary and basic needs.

Step-by-step explanation:

Answer:

The first question is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

3/4

Step-by-step explanation:

Rate of change = (f(-4)-f(0))/-4

Plug in the numbers

f(-4) = 10 - (3/4)(-4) = 10-3 = 7

f(0) = 10 - (3/4)(0) = 10

Plug back into first equation

(7-10) = 3/4

-4

9514 1404 393

Answer:

  -3/4

Step-by-step explanation:

The given function is a linear function with a slope of -3/4. (The slope is the coefficient of x.) The slope is the rate of change. For a linear function, the slope is the same everywhere. That is, the "average rate of change" and the "rate of change" and the "slope" are all the same value.

Here, the average rate of change is -3/4.

__

Alternate solution

You can compute the average rate of change using the formula ...

  average rate of change = (f(x2) -f(x1))/(x2 -x1)

For x1 = -4 and x2 = 0, we need to know the function values:

  f(-4) = 10 -(3/4)(-4) = 13

  f(0) = 10 -(3/4)(0) = 10

So, the average rate of change formula gives ...

  average rate of change = (10 -13)/(0 -(-4)) = -3/4

The average rate of change is -3/4.

Answer:

81

Step-by-step explanation:

theres a crown at the bottom press it plez

Answer:

A,D,F

Step-by-step explanation:

if he drives 90 in 2 hours then in one hour its 45. 45 times 2 is 90. 45 times 3 is 135. 45 times 4 is 180. 45 times 5 is 225. 45 times 6 is 270. 45 times 7 is 315. and 45 times 8 is 360.

Answer:

Step-by-step explanation:

Slope= y2-y1/x2-x1

5-2/1-(-4) = 3/5

Slope: 0.6

Answer:

The value of f(2) is larger than the value of f(3).

Step-by-step explanation:

[tex]f(x) = -3x^{2} +4x+6\\f(2) = -3*2^{2} +4*2+6=2\\f(3) = -3*3^{2} +4*3+6=-9\\[/tex]

Answer:

1. In mathematics and statistics, the arithmetic mean, or simply the mean or the average, is the sum of a collection of numbers divided by the count of numbers in the collection. The collection is often a set of results of an experiment or an observational study, or frequently a set of results from a survey.

2. In statistics and probability theory, a median is a value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

3. The mode is the value that appears most often in a set of data values. If X is a discrete random variable, the model is the value x at which the probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

4. the set of values that a given function can take as its argument varies.

Answer:    -3(x-10)<30,X there you go BOM

Step-by-step explanation:

Answer:

-2 1/2 is the correct answer

I hope this helps! If it is correct please mark brainliest answer, thank you!

Stay safe, God bless and happy studying!

Answer:

B

Step-by-step explanation:

Answer:

B. The horizontal asymptote y= 11.95 represents that the cost per person approaches $11.95 as the number of people increases.

Step-by-step explanation:

edge 2020

Answer:

1.25 cup of pretzels for every 0.5 cup raisins

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

Answer:

8/-5

Step-by-step explanation:

the equation for slope is y 2 - y 1/ x 2 - x 1 so your equation is -7 - (-11) / -6 - (-1) which simplifies to  8/ -5 and that is the slope.

Answer:

c.  [tex] x = \pm 7 [/tex]

Step-by-step explanation:

[tex] 2x^2 = 98 [/tex]

[tex] x^2 = 49 [/tex]

[tex] x = \pm\sqrt{49} [/tex]

[tex] x = \pm 7 [/tex]

Answer:

The answer is

[tex] \huge - \frac{5}{2} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

From the question we have

[tex]m = \frac{3 - - 7}{ - 4 - 0} = \frac{3 + 7}{ - 4} = - \frac{10}{4} = - \frac{5}{2} \\ [/tex]

We have the final answer as

[tex] - \frac{5}{2} \\ [/tex]

Hope this helps you

Answer:

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Given expression:

       log(5x + 20) = 2

From the given expression, we are to find x;

   Using the rule of logarithm, we can solve this problem;

             logₐb = C

                    b  = Cᵃ

So;

            log(5x + 20) = 2

  this is to base 10;

                    5x + 20 = 10²

                    5x  = 100 - 20

                    5x  = 80

                      x  = 16

Answer:

16 was right

Step-by-step explanation:

Answer:

Yeah, I also got 2.4 percent..

Answer:

ok I will try that thx for telling

Answer:

the answer is -2

Step-by-step explanation: The answer is from google

Answer:

-2

Step-by-step explanation:

indeed brother

Answer:

7/8 or 0.875

Step-by-step explanation:

If you want it in fraction form, it's 7/8. If you want it in decimal form, it's 0.875.

Answer: A and D

Step-by-step explanation:

I took the test online and the answer is A and D the y intercept is the cost of her lunch and the slope is the cost of one book

The true statements are the slope is the cost of one book and the y-intercept is the cost if Hana's lunch​.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

as, from the graph the slope tells us about the  cost of one book.

Now, From the graph if we talk about y- axis then we can see that the y- axis tells us about cost if Hana's lunch​.

Hence, the true statements are the slope is the cost of one book and the y-intercept is the cost if Hana's lunch​.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Answer:

y=-6x-7

Step-by-step explanation: