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horrorfan [7]
2 years ago
7

What is the formula to find the the perimeter of 4 sided shape

Mathematics
1 answer:
yaroslaw [1]2 years ago
4 0

Answer:

add all the sides together

a+b+c+d

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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.

3 0
3 years ago
(3, -2), slope - 1/6
Reika [66]
-2=-1/6(3)+b 
-2=-0.5+b
-1.5+b
y=-1/6 -0.5
7 0
3 years ago
I’m struggling with this could you help me pls
deff fn [24]
X=0, y=6
x=1, y=4
x=2, y=2
x=3, y=0
x=4, y=-2

Hope this helps :)
4 0
3 years ago
Read 2 more answers
Which expression is equivalent to StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction c + 2 Over 3 (
Firdavs [7]

Answer:

C

Step-by-step explanation:

Given:

\dfrac{c^2-4}{c+3}\div  \dfrac{c+2}{3(c^2-9)}

Changing the division to multiplication by taking the reciprocal of the second fraction.

\dfrac{c^2-4}{c+3}X  \dfrac{3(c^2-9)}{c+2}

<u>The correct option is C</u>

3 0
3 years ago
Read 2 more answers
When solving a system of equations, how do you determine which method to use?
bazaltina [42]
Substitution is best to use one one or both equations is already solved for one of the variables. Elimitation can be use if all variables have a coefficient other than 1.
5 0
2 years ago
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