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4 years ago

15

A) 6 kilometers B) 8 kilometers C) 23 kilometers D) 32 kilometers

1 answer:

aivan3 [116]4 years ago

5 0

the answer would be B) 8

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The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 2643 miles, with a standard

musickatia [10]

Answer:

$P(2643-51< \bar X < 2643+51)= P(2592< \bar X$

And we can use the z scoe formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for the limits we got:

$z = \frac{2592-2643}{\frac{368}{\sqrt{44}}}= -0.919$

$z = \frac{2694-2643}{\frac{368}{\sqrt{44}}}= 0.919$

And this probability is equivalent to:

$P(-0.919$

Step-by-step explanation:

For this case we can define the random variable X as "number of miles between services" and we know the following info given:

$\mu = 2643 , \sigma = 368$

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

We select a random sample size of n =44. And we want to find this probability:

$P(2643-51< \bar X < 2643+51)= P(2592< \bar X$

And we can use the z scoe formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for the limits we got:

$z = \frac{2592-2643}{\frac{368}{\sqrt{44}}}= -0.919$

$z = \frac{2694-2643}{\frac{368}{\sqrt{44}}}= 0.919$

And this probability is equivalent to:

$P(-0.919$

4 0

3 years ago

Convert 1/15 to a decimal. Enter the decimal using an ellipsis, and then enter the decimal using an overbar. Write the repeating

yawa3891 [41]

Answer:

The decimal form of $\frac{1}{15} = 0.0666... = 0.0\overline{666}$ .

Step-by-step explanation:

We proceed to find the decimal form of $\frac{1}{15}$ , whose description is found below:

1) Multiplying the numerator by 100 and dividing it by 15:

Partial result: 0.06, Remainder: 10

2) Multiplying the remainder by the 10 and dividing it by 15:

Partial result: 0.066, Remainder: 10

3) Multiplying the remainder by the 10 and dividing it by 15:

Partial result: 0.0666, Remainder: 10

Since the decimal number is a infinite and periodical, we conclude that decimal form of $\frac{1}{15} = 0.0666... = 0.0\overline{666}$ .

3 0

3 years ago

Please help, I thank you to anyone who can help me

lubasha [3.4K]

Y is less than or equal to 16 because the graph never goes higher than 16

6 0

3 years ago

Factor the following expression: 7x + 28x2 + 21x

Lostsunrise [7]

Answer:2

8

2

+

2

8

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Help me with this please. Thanks!

horsena [70]

Cubic inch.
Proszę.
Myślę że pomoglem.

7 0

4 years ago