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3 years ago

Compare the data in the table and the equation.

1 answer:

3 0

The slope of the equation is 4.
The slope of the other function = rise / run = (6-3)/(2-1) = 3

The equation has the greatest slope.

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Expand and simplify (x-2)(2x+4)

d1i1m1o1n [39]

Answer:

$2 {x}^{2} - 8$

hope it's helpful ❤❤❤

THANK YOU.

7 0

3 years ago

Read 2 more answers

Thanks to whoever helped me out last time but I have another question.

yulyashka [42]

Answer:

Step-by-step explanation:

8 0

3 years ago

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There were 3232 volunteers to donate blood. Unfortunately, nn of the volunteers did not meet the health requirements, so they co

Degger [83]

Answer:

$\frac{470}{32-n}$

Step-by-step explanation:

We have been given that there were 32 volunteers to donate blood. Unfortunately, n of the volunteers did not meet the health requirements, so they couldn't donate.

So the number of volunteers that donated blood will be 32-n.

We are also told that the rest of the volunteers donated 470 milliliters each.

To find the units of blood donated by each of the volunteers we will divide total units of donated blood by number of volunteers, who donated the blood (32-n).

$\text{Millimeters of blood donated by each volunteer}=\frac{470}{32-n}$

Therefore, each of the volunteers donated $\frac{470}{32-n}$ millimeters of blood.

5 0

3 years ago

Read 2 more answers

Every seventh-grade student at Martin Middle School takes one world language class.

koban [17]

Answer:

s = 180

Step-by-step explanation:

s is the total number of seventh-grade students

1/10s take French which is 18

1/10s = 18

s = 18(10)

s = 180

6 0

2 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

4 years ago