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Jobisdone [24]
3 years ago
14

Suppose that we will randomly select a sample of 106 measurements from a population having a mean equal to 19 and a standard dev

iation equal to 7. Calculate the probability that we will obtain a sample mean less than 18.450; that is, calculate P( x < 18.450).
Mathematics
1 answer:
svet-max [94.6K]3 years ago
4 0

Answer:

z =\frac{18.45-19}{\frac{7}{\sqrt{106}}}= -0.809

And if we use the normal standard distribution or excel we got:

P(z

Step-by-step explanation:

For this case we have the following info given:

\mu = 19 represent the mean

\sigma = 7 represent the standard deviation

n = 106 represent the sample size

The distribution for the sample size if we use the central limit theorem (n>30) is given by:

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

And for this case we want to find the following probability:

P(\bar X< 18.45)

And for this case we can use the z score formula given by:

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

And replacing we got:

z =\frac{18.45-19}{\frac{7}{\sqrt{106}}}= -0.809

And if we use the normal standard distribution or excel we got:

P(z

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You buy a storage case that holds 170 collectible die-cast cars. You have 137 die-cast cars. Write an inequality that describes
Murljashka [212]

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Step-by-step explanation:

The following inequality will describe this scenario.

137 + x <= 170

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4 0
3 years ago
Put these points into an equation IN STANDARD FORM!!!!!!<br><br>(0,2) and (8,0)
zubka84 [21]

The equation of the line in standard form is x + 4y = 8

<h3>How to determine the line equation?</h3>

From the question, the points are given as

(0, 2) and (8, 0)

To start with, we must calculate the slope of the line

This is calculated using

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (0, 2) and (8, 0)

Substitute the known parameters in Slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

Slope = (0 - 2)/(8 - 0)

Evaluate

Slope = -1/4

The equation of the line can be calculated using as

y - y₁ = m(x + x₁)

Where

(x₁, y₁) = (0, 2)

and

m = slope = -1/4

Substitute the known values in the above equation

So, we have the following equation

y - 2 = -1/4(x - 0)

This gives

y - 2 = -1/4x

Rewrite as

1/4x + y = 2

Multiply by 4

x + 4y = 8

Hence, the line has an equation of x + 4y = 8

Read more about linear equations at

brainly.com/question/4074386

#SPJ1

7 0
10 months ago
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