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 = the test score and y = average sleep. B) Use the equation to determine the approximate test score of a student who sleeps an average of 8 hours a night. Show Your Work. ( Will Mark Brainliest but no Links or nonsense answers please). Answer A and Answer B.​

Answer:

Approximately 10.5, or 10.5095541.

Step-by-step explanation:

To find the radius given the circumference of a circle, we first have to divide the circumference by pi, or an estimation of 3.14. This will give us the diameter.

Since we know that the radius of a circle is simply half the diameter, we divide the number we got from the problem above by 2. This will give you your answer!

Answer:

r = 10.50

Step-by-step explanation:

Circumference =

[tex]2\pi \: r[/tex]

[tex] 66 = 2\pi \: r[/tex]

[tex] \frac{66}{2\pi} = r[/tex]

r = 10.5

Answer:  -157,464

Step-by-step explanation:

an=a^1*r^n-1

a10=8*-3^10-1

a10=8*-3^9

a10=8*-19683

a10=-157464

Answer:

a10 = -157,464

Step-by-step explanation:

a1 = 8

a2 = -24

r = a2/a1 = -3

an = a1 × r^(n - 1)

a10 = a1 × (-3)^(10 - 1)

a10 = 8 × (-3)^(9)

a10 = -157,464

Answer:

2.

Step-by-step explanation:

2. because 3(x+4) if we distribute 3 in parenthesis we have 3x+12

Answer:

Step-by-step explanation:3/5 of the pizza

Answer:

[tex]a:b = 8:3[/tex]

Step-by-step explanation:

To find the ration, we want to get in equation in the form [tex]\frac{a}{b} =\frac{x}{y}[/tex].

We can start by dividing by b on both sides:

3a = 8b

÷b     ÷b

[tex]\frac{3a}{b} = 8[/tex]

Now, we can divide by 3 on both sides to get:

[tex]\frac{a}{b} = \frac{8}{3}[/tex]

We can change the format into a ratio:

[tex]a:b = 8:3[/tex]

1/4 = 0.25 is the largest value..

It is right answer....

Answer:

6

Step-by-step explanation:

385/65= about 6 but technically its like 5.92307...

Step-by-step explanation:

Price of glove with tax = 385

Money saved per month = 65

Months needed for Derek to save enough money

= 385/65

= 5.923 months

Answer:

B. 91,390

Step-by-step explanation:

I've had this question before, I don't like'em, but that's the answer.

Answer:

option B

Step-by-step explanation:

[tex]40C_4 = \frac{40\times 39 \times 38 \times 37}{1 \times 2 \times 3 \times 4} = 91,390[/tex]

Answer:

The answer to this question is x=2

Answer:

It is closer to 7,000 than 8,000

Answer:

$15 per hour

Step-by-step explanation:

30 hours per week x 52 weeks in a year = 1560 hours per year

23,400 / 1560 = $15 per hour

Answer:

-3

Step-by-step explanation:

To get the slope of the line tangent to the function y = 6 - 3x

First, we need to differentiate;

dy/dx = 0 -3x^{1-1}

dy/dx = 0 - 3x^0

dy/dx = 0 - 3

dy/dx = -3

Hence the slope of the line tangent to the function at the point is -3

Answer: I thin it’s Opposite of 2

Step-by-step explanation:

Answer:

The distance between A and D

Step-by-step explanation:

when it is |-2| (in the box) it changes to 2

Answer:

f(-4) = -14

Step-by-step explanation:

f(x) = 2x – 6

Let x = -4

f(-4) = 2*-4 -6

f(-4) = -8-6

f(-4) = -14

Answer:

The answer is -14

Step-by-step explanation:

f(-4) = 2(-4) - 6

= -8 - 6

= -14

Answer:

9.04

Step-by-step explanation:

tan 37 = x/12

0.7536 x 12= x

x = 9.04

Answer:

a) 0.2981 = 29.81% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

b) 0.999 = 99.9% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes

c) 0.2971 = 29.71% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 8.9 minutes and a standard deviation of 2.9 minutes.

This means that [tex]\mu = 8.9, \sigma = 2.9[/tex]

Sample of 37:

This means that [tex]n = 37, s = \frac{2.9}{\sqrt{37}}[/tex]

(a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes?

320/37 = 8.64865

Sample mean below 8.64865, which is the p-value of Z when X = 8.64865. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{8.64865 - 8.9}{\frac{2.9}{\sqrt{37}}}[/tex]

[tex]Z = -0.53[/tex]

[tex]Z = -0.53[/tex] has a p-value of 0.2981

0.2981 = 29.81% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes?

275/37 = 7.4324

Sample mean above 7.4324, which is 1 subtracted by the p-value of Z when X = 7.4324. So

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

[tex]Z = \frac{7.4324 - 8.9}{\frac{2.9}{\sqrt{37}}}[/tex]

[tex]Z = -3.08[/tex]

[tex]Z = -3.08[/tex] has a p-value of 0.001

1 - 0.001 = 0.999

0.999 = 99.9% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes.

(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes?

Sample mean between 7.4324 minutes and 8.64865 minutes, which is the p-value of Z when X = 8.64865 subtracted by the p-value of Z when X = 7.4324. So

0.2981 - 0.0010 = 0.2971

0.2971 = 29.71% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes

Answer:

1679616

Step-by-step explanation:

Answer:

x = -3, y = -3

Step-by-step explanation:

Solve the following system:

{-y + 2 x = -3 | (equation 1)

3 y + 4 x = -21 | (equation 2)

Swap equation 1 with equation 2:

{4 x + 3 y = -21 | (equation 1)

2 x - y = -3 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{4 x + 3 y = -21 | (equation 1)

0 x - (5 y)/2 = 15/2 | (equation 2)

Multiply equation 2 by 2/5:

{4 x + 3 y = -21 | (equation 1)

0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:

{4 x + 3 y = -21 | (equation 1)

0 x+y = -3 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{4 x+0 y = -12 | (equation 1)

0 x+y = -3 | (equation 2)

Divide equation 1 by 4:

{x+0 y = -3 | (equation 1)

0 x+y = -3 | (equation 2)

Collect results:

Answer: x = -3, y = -3

Answer:

Step-by-step explanation:

let a number be x

let another number be x+1

x+x+1=20

2x=20-1

x=19/2

x=9.5

therefore one number is 9.5 and another number is x+1=9.5+1=10.5

[tex]\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Let the Consecutive odd numbers be x and x+2

Therefore, the numbers are :

______________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer: 1) V≈1244.07 in             2) V≈54286.72 ft         3) V≈23816.41 yd

Step-by-step explanation:

Answer:

It's Cos.

Hope this helps

Answer:

Yes

Step-by-step explanation:

The base of both the cylinder and Circle are both circles.

Answer:

[tex] \tan(A) = \frac{opp}{adj} \\ \tan(A) = \frac{ \sqrt{72} }{3} \\ \tan(A) = \frac{ \sqrt{36 \times 2} }{3} \\ \tan(A) = \frac{6 \sqrt{2} }{3} \\ \tan(A) = 2 \sqrt{2} [/tex]

Answer:

Always, always.

Answer:

2 doctors to 9 patients

Step-by-step explanation:

Divide each by 3. They cant be simplified more.

Answer: 74 inches

Step-by-step explanation:

Since we are given the equation of the regression line for the son's height y to be:

y = 0.5x + 38

where,

x = father's height = 72 inches

Then, we put the value of x into the equation and this will be:

y = 0.5x + 38

y = 0.5(72) + 38

y = 36 + 38

y = 74 inches

Therefore, the son is 74 inches.

Answer:

4x+5=2x-3 1-5

4x-2x=-3+1-5-5

2x=-2

[tex] \frac{2x}{2} = \frac{ - 2}{2} [/tex]

x=

[tex]x = \frac{ - 2}{2} [/tex]

Answer:

3 beause when you dividend it -5.6+4(3) .

Answer:

False

Step-by-step explanation:

an obtuse triangle maybe isosceles or scalene