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The table shows the test scores and the sleep averages of several students.

a. Write the least squares regression equation that models the data. Let x = hours of sleep and y = test score.

b. Use the equation to determine the approximate test score of a student who sleeps an average of 8 h a night. Show your work.

Answer:

Step-by-step explanation: When dealing with fractions in the way they are used in this problem the word "of" (as in "1/32 OF the total sales") means to multiply.

the total sales") means to multiply.

So we can write an equation as:

c

=

r

⋅

s

Where:

c is the commission earned, what we are solving for in this problem.

r  is the commission rate -  1/

32  in this problem

s  is the total sales - $24,000 in this problem.

Substituting and calculating  c  gives:

c

=1/32 x $24,000

c=$24,000/

32

c

=

$

750

Answer:

$794.10

Step-by-step explanation:

Marcus paid for 5 pairs of rare Jordan's to be delivered. Each pair cost $143.95. Marcus paid $74.25 for delivery. What is the total amount Marcus paid?

The total amount Marcus paid is calculated as

A = $143.95 × p + $74.35

Where p = Number of pairs of rae Jordans delivered = 5

Hence,

A = $143.95 × 5 + $74.35

A = $719.75 + $74.35

A = $794.10

Therefore, the total amount Marcus paid is $794.10

The area of the composite figure is C = 80 cm²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the composite figure be C

Now , C = area of rectangle - area of square

Let the area of the rectangle be A

Now , the length of the rectangle be L = 12 cm

Let the width of the rectangle be W = 8 cm

A = 12 x 8

A = 96 cm²

Area of square = 4 x 4 = 16 cm²

So , C = 96 - 16

C = 80 cm²

Hence , the area of figure is C = 80 cm²

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Answer:

X = 22 - 14

= 8

Answer: -12.414

Step-by-step explanation:

Answer:

c = 0.01 | Hope I helped :')

Steps to answer:

1. Divide both sides by -10.

-0.1/-10=c

2. Simplify  -0.1/-10 to 0.01.

0.01=c

3 Switch sides.

c=0.01

---------------

Checking your answer:

−0.1=−10c

1 Let c=0.01.

−0.1=−10×0.01

2 Simplify  10×0.01  to 0.1.

-0.1=-0.1

Done by NeighborhoodDealer.

Answer: 18.72

Step-by-step explanation:

14.40*1.3

Answer: 48$ was the original price of the sweater.

Step-by-step explanation:To find this answer, I divided the coupon discount by the discounted price (14.4) and got 48.00, to double check, I then multiplied the number by the discount number and got 14.4

Answer:

80

Step-by-step explanation:

5x2x8=80

Answer:

volume= 8*2*5

=80cube

Answer:

ubstitute the value of the radius r = 8.0 cm height h = 12.0 cm into the formula to find the volume. Pi (π) is approximately equal to 3.14 .

π x 82 cm2 x 12 cm

Raise 8 cm power of 2

π x 64.0 cm2 x 12 cm

Multiply 64.0 cm2 and 12 cm

π x 768.0 cm3

Combine π and 768.0 cm3

The result can be shown in multiple forms.

Exact Form

Volume = 768.0π cm3

∴ Volume of Cylinder radius 8 cm and height 12 cm is 768.0π cm3

Decimal Form

Volume = 2411.52 cm3

Step-by-step explanation:

9514 1404 393

Answer:

  f(2) = 36

Step-by-step explanation:

Put 2 where x is and do the arithmetic.

  f(2) = 6^2

An exponent of 2 means 6 is a factor two times.

  f(2) = 6×6

  f(2) = 36

Answer:

36

Step-by-step explanation:

To evaluate f(x) = 6^x at x = 2, substitute 2 for x:

f(2) = 6^2 = 36

Answer:

39 miles

Step-by-step explanation:

We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.

To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.

Meaning that for every hour, 13 miles were driven.

Therefore we need to multiply 13 by 3 to get our answer :

13 miles * 3hrs

39 miles

Answer:

C

Step-by-step explanation:

$370 - $10 = $360

$360 / $15 = 24

Answer:

c  =  1 ,  a  =  2,  b  =  3

Step-by-step explanation:

Answer: No, he is not correct, the correct equation is:

225 + 2*r = 1475

Solving that, we can find that each bag of raisins has 625 grams of raisins.

Step-by-step explanation:

I suppose that the problem is as follows:

"Sam had 225 grams of raisins. After buying another two bags of raisins he then had  1475 grams of raisins"

Then, if each bag of raisings has r grams of raisings, two bags will have two times that, or:

2*r grams of raisings.

Then if we take what he had at the beginning, and we add these 2*r grams, we should get the 1475 grams that he has at the end:

225 + 2*r = 1475

This is what he should get.

and we can solve it for r, to get:

2*r = 1475 - 225 = 1250

r = 1250/2 = 625

r = 625

This means that each bag of raisins has 625 grams of raisins.

But instead, he got:

225*r + 2 = 1475

In this case, he multiplied his previous amount of raisings by the amount that each bag has, so his equation is wrong.

Answer:

p = 4

q = 6

s = 5

t = 4

a = 6

b = 7

m = 5

n = 6

Answer:

Triangle WRD's angles are all 60 degrees, angle W and angle R and angle D.

Triangle WRD is an equiangular, equilateral triangle. It is also an acute triangle, as all angles are less than 90 degrees.

Step-by-step explanation:

You are told that WRD has all equal sides, each 3 inches long.

In a triangle, if sides are equal, then the opposite angles are also equal. So if ALL the sides are equal, then ALL the angles are equal.

The sum of the interior angles in a triangle is always 180 degrees. Since the trhee angles are all equal and they must add up to 180 degrees, 180/3 =60, so the angles must all be 60 degrees.

Triangle are classified by sides as

*** scalene = no equal sides

*** isosceles = two equal sides

*** equilateral = all equal sides

Triangles are classified by angles as

*** right triangle = one 90 degree angle

*** obtuse triangle = one angle larger than 90 degrees

*** acute triangle  = all angles less than 90 degrees

*** equiangular = all angles equal

There can be overlap in the categories, like an acute triangle also being equiangular.

Step-by-step explanation:

f(x) = 4x-5

g(x) = 2x

(f + g)(x)=f(x) +g(x)=4x-5+2x=6x-5

i cannot read it swry

Answer:

fist one is 36 and the second one is 238

Step-by-step explanation:

to find volume multiple length times width times height though in this case you only need to multiple two numbers to get the answer

Answer:

Yes

Step-by-step explanation:

The solution to the system of equations shown with a graph is the point where the two lines intersect. Because the lines are parallel they do not intersect, meaning there is no solution.

Answer:

y=2/3x +5

Step-by-step explanation:

to find the gradient

9--1/6--9

10/15

2/3

y-y1=m(x-x1)

y-9=2/3(x-6)

y-9=2/3x-4

y=2/3x+9-4

y=2/3x+5

Answer:

27x^3+3x^2+9x

Step-by-step explanation:

Answer:

Question 3: M = -2, B = 1

Question 4: M = [tex]\frac{2}{5}[/tex], B = -6

Question 5: M = 1, B = -5

Question 6: M = [tex]\frac{1}{3}[/tex], B = 4

Step-by-step explanation:

Question 3 explanation: 2x + y < 1 ⇒ y < -2x + 1 ⇒ M = -2, B = 1

Question 4 explanation: 2x - 5y ≥ 30 ⇒ -5y ≥ -2x + 30 ⇒ y ≤ [tex]\frac{2}{5}[/tex]x - 6 ⇒ M = [tex]\frac{2}{5}[/tex], B = -6

Question 5 explanation: x - y > 5 ⇒ -y > -x + 5 ⇒ y < x - 5 ⇒ M = 1, B = -5

Question 6 explanation: 2x - 6y ≤ -24 ⇒ -6y ≤ -2x - 24 ⇒ y ≥ [tex]\frac{1}{3}[/tex]x + 4 ⇒ M = [tex]\frac{1}{3}[/tex], B = 4

Answer:

J probably

Step-by-step explanation:

When multiplying the rectangle's sides by 1.5 you get the rectangle F.

When multiplying the sides by 1/4 you get G.

When multiplying by 1.25 you get H.

To get J, you would need to muliply 8 by 1.25 and 2 by 2. There is no scale factor that would result in the rectangle ABCD turning into J.  

Answer:

hard to read, can you take another picture please?

Step-by-step explanation:

Answer:

I can't see it

Step-by-step explanation:

We need a bigger picture.