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Delicious77 [7]
2 years ago
9

Drag each pair of rates to the correct location on the table.

Mathematics
1 answer:
Dafna11 [192]2 years ago
5 0

1/8 is in it 3/2 if that is it

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An economist uses the price of a gallon of milk as a measure of inflation. She finds that the average price is $3.82 per gallon
salantis [7]

Answer:

(a) The standard error of the mean in this experiment is $0.052.

(b) The probability that the sample mean is between $3.78 and $3.86 is 0.5587.

(c) The probability that the difference between the sample mean and the population mean is less than $0.01 is 0.5754.

(d) The likelihood that the sample mean is greater than $3.92 is 0.9726.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample mean is given by,

\mu_{\bar x}=\mu

And the standard deviation of the distribution of sample mean is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

The information provided is:

n=40\\\mu=\$3.82\\\sigma=\$0.33

As <em>n</em> = 40 > 30, the distribution of sample mean is \bar X\sim N(3.82,\ 0.052^{2}).

(a)

The standard error is the standard deviation of the sampling distribution of sample mean.

Compute the standard deviation of the sampling distribution of sample mean as follows:

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

    =\frac{0.33}{\sqrt{40}}\\\\=0.052178\\\\\approx 0.052

Thus, the standard error of the mean in this experiment is $0.052.

(b)

Compute the probability that the sample mean is between $3.78 and $3.86 as follows:

P(3.78

                               =P(-0.77

Thus, the probability that the sample mean is between $3.78 and $3.86 is 0.5587.

(c)

If the difference between the sample mean and the population mean is less than $0.01 then:

\bar X-\mu_{\bar x}

Compute the value of P(\bar X as follows:

P(\bar X

                    =P(Z

Thus, the probability that the difference between the sample mean and the population mean is less than $0.01 is 0.5754.

(d)

Compute the probability that the sample mean is greater than $3.92 as follows:

P(\bar X>3.92)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{3.92-3.82}{0.052})

                    =P(Z

Thus, the likelihood that the sample mean is greater than $3.92 is 0.9726.

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3 years ago
Emmet rolls a number cube. In 5 out of 24 trials, he rolls a six. What is the
V125BC [204]

Answer:

A.

Step-by-step explanation:

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2 years ago
HELP ME PLZZZZZ Now class test
Airida [17]

Answer: 0.59 cents per a pounds =y

Step-by-step explanation:I dont know if this is what you are talking about

7 0
3 years ago
Rearrange the following and ad .005, 2,002.181, 795.41, 14.0,184
xz_007 [3.2K]

Answer:

1 2 3 4

Step-by-step explanation:

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3 years ago
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Given the line below.
geniusboy [140]

Answer:

The equation of the line in point slope form is equal to

y+2=(x+2)

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(-2,-2) and (2,2)

substitute the values

m=\frac{2+2}{2+2}=1

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=1\\(x1,y1)=(-2,-2)

substitute the values in the formula

y-(-2)=(1)(x-(-2))

y+2=(x+2)

7 0
2 years ago
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