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3 years ago

The equation for the line of best fit is y = -3.32x + 97.05.

Mathematics

2 answers:

Marrrta [24]3 years ago

7 0

Answer:

53.06

Step-by-step explanation:

Tamiku [17]3 years ago

6 0

Answer:

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Step-by-step explanation:

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hghgghhghgghghjhkhjghjgf

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There are 84 boys in a freshman class of 146 students. Find the ratio of boys to girls.

fredd [130]

There are 146 - 84 = 62 girls

ratio is 84:62

simplifies to 42:31

5 0

3 years ago

The sum of 3 numbers is -44.84.one of these numbers is 24.6.the other 2 numbers are equal to each number.what is the value of ea

Bad White [126]

X+24.6=-44.84
Subtract 24.6 /2

X= -34.72

5 0

3 years ago

Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x2 + 2 F(x + h) =

ira [324]

Answer:

F(x-h) = x² + 2xh +h² +2

Step-by-step explanation:

F(x) = x² + 2, x∈R

F(x + h) = (x + h )² + 2 = x² + 2xh + h² + 2

3 0

3 years ago

A rectangle field has an area of 300 square meters and a perimeter of 80 meters. what are the length and width of the field?

Yakvenalex [24]

By definition the area of a rectangle is:
A = w * l
The perimeter is:
P = 2w + 2l
Where,
w: width
l: long
Substituting values:
300 = w * l
80 = 2w + 2l
Solving the system of equations we have:
l = 30 m
w = 10 m
Answer:
The length and width of the field are:
l = 30 m
w = 10 m

6 0

3 years ago

The shape of the distribution of the time required to get an oil change at a 20 minute oil change facility. However, records ind

Katyanochek1 [597]

Answer:

For a mean oil change time of 20.51 minutes there would be a 10% chance of being at or below

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 normally distributed samples are solved using the z-score formula.

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

$Z = \frac{X - \mu}{\sigma}$

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.

Central Limit Theorem

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

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

In this problem, we have that:

$\mu = 21.3, \sigma = 3.9, n = 40, s = \frac{3.9}{\sqrt{40}} = 0.6166$

Treating this as a random sample, at what mean oil-change time would there be a 10% chance of being at or below?

This is the 10th percentile, which is X when Z has a pvalue of 0.1. So it is X when Z = -1.28.

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$-1.28 = \frac{X - 21.3}{0.6166}$

$X - 21.3 = -1.28*0.6166$

$X = 20.51$

For a mean oil change time of 20.51 minutes there would be a 10% chance of being at or below

6 0

3 years ago