Hey help me please (DON'T SUBMIT THAT ONE LINK THAT WILL HACK YOU! I WILL REPORT YOUR ACCOUNT

What are the steps to graphing a linear equation?

chubhunter [2.5K]

Locate the y-intercept on the graph and plot the point.

From this point, use the slope to find a second point and plot it.

Draw the line that connects the two points.

6 0

2 years ago

Read 2 more answers

Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal prob

Novay_Z [31]

Answer:

a) By the Central Limit Theorem, it is approximately normal.

b) The standard error of the distribution of the sample mean is 1.8333.

c) 0.1379 = 13.79% of the samples will have a mean useful life of more than 38 hours.

d) 0.7939 = 79.39% of the samples will have a mean useful life greater than 34.5 hours

e) 0.656 = 65.6% of the samples will have a mean useful life between 34.5 and 38 hours

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 $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, 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.

Mean of 36 hours and a standard deviation of 5.5 hours.

This means that $\mu = 36, \sigma = 5.5$

a. What can you say about the shape of the distribution of the sample mean?

By the Central Limit Theorem, it is approximately normal.

b. What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal places.)

Sample of 9 means that $n = 9$ . So

$s = \frac{\sigma}{\sqrt{n}} = \frac{5.5}{\sqrt{9}} = 1.8333$

The standard error of the distribution of the sample mean is 1.8333.

c. What proportion of the samples will have a mean useful life of more than 38 hours?

This is 1 subtracted by the pvalue of Z when X = 38. So

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

By the Central Limit Theorem

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

$Z = \frac{38 - 36}{1.8333}$

$Z = 1.09$

$Z = 1.09$ has a pvalue of 0.8621

1 - 0.8621 = 0.1379

0.1379 = 13.79% of the samples will have a mean useful life of more than 38 hours.

d. What proportion of the sample will have a mean useful life greater than 34.5 hours?

This is 1 subtracted by the pvalue of Z when X = 34.5. So

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

$Z = \frac{34.5 - 36}{1.8333}$

$Z = -0.82$

$Z = -0.82$ has a pvalue of 0.2061.

1 - 0.2061 = 0.7939

0.7939 = 79.39% of the samples will have a mean useful life greater than 34.5 hours.

e. What proportion of the sample will have a mean useful life between 34.5 and 38 hours?

pvalue of Z when X = 38 subtracted by the pvalue of Z when X = 34.5. So

0.8621 - 0.2061 = 0.656

0.656 = 65.6% of the samples will have a mean useful life between 34.5 and 38 hours

4 0

3 years ago

Carla wants to create a garden in her backyard. She wants the width of the garden to be 9 meters and the area to be 162 meters.

Naddik [55]

<h3>Answer: 18</h3>

Work Shown:

area = length*width

length = area/width

length = 162/9

length = 18 meters

7 0

2 years ago

What is the distance, in units, between the points <img src="https://tex.z-dn.net/?f=%282%2C%20-6%29" id="TexFormula1" title="(2

Anna71 [15]

Answer: $3\sqrt{13}$

Step-by-step explanation:

$\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$\sqrt{\left(-4-2\right)^2+\left(3-\left(-6\right)\right)^2}$

$=3\sqrt{13}$

6 0

3 years ago

Point M (-3, 5) is translated using this rule. (x, y) ----> (x - 1, y) What are the coordinates of M'?

Nuetrik [128]

Answer:

The coordinates of point M' are $M'(x,y) = (-4, 5)$ .

Step-by-step explanation:

According to the statement, we have the following translation rule:

$M'(x,y) = M(x,y) + (-1, 0)$ (1)

Where:

$M(x,y)$ - Original point.

$M'(x,y)$ - Translated point.

$(-1, 0)$ - Translation vector.

If we know that $M(x,y) = (-3, 5)$ , then the coordinates of the point M' are:

$M'(x,y) = (-3,5) + (-1,0)$

$M'(x,y) = (-4, 5)$

The coordinates of point M' are $M'(x,y) = (-4, 5)$ .

5 0

3 years ago

Hey help me please (DON'T SUBMIT THAT ONE LINK THAT WILL HACK YOU! I WILL REPORT YOUR ACCOUNT​

Hey help me please (DON'T SUBMIT THAT ONE LINK THAT WILL HACK YOU! I WILL REPORT YOUR ACCOUNT