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DENIUS [597]
4 years ago
8

A sample of 100 footballs showed an average air pressure of 13 psi. The standard deviation of the population is known to be .25

psi. What is the standard error of the mean?
Mathematics
1 answer:
Vladimir79 [104]4 years ago
7 0

Answer:

0.025 is the standard error of mean.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 100

Sample mean = 13 psi

Population standard deviation = 0.25 psi

We have to find the standard error of the mean.

Formula:

Standard error =

\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.25}{\sqrt{100}} = \dfrac{0.25}{10} = 0.025

0.025 is the standard error of mean.

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Answer: the cost of a milkshake is $2.59

Step-by-step explanation:

Let x represent the cost of a banana split.

Let y represent the cost of a milkshake.

At the ice cream shop, one banana split and five milkshakes cost $16.24. This is expressed as

x + 5y = 16.24- - - - - - - - - - - - -1

If three banana splits and two milkshakes cost $15.05. This is expressed as

3x + 2y = 15.05- - - - - - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by 1, it becomes

3x + 15y = 48.72

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Subtracting, it becomes

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y = 33.67/13

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Substituting y = 2.59 into equation 1, it becomes

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x + 12.95 = 16.24

x = 16.24 - 12.95

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4 years ago
If y varies inversely as x2 and y = 3 when x = 2, find the equation that connects x and y.
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<h3>Answer:  y = 12/(x^2)</h3>

============================================================

Explanation:

"y varies inversely as x^2" means y = k/(x^2) for some constant k.

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As a check, plugging in x = 2 should lead to y = 3

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y = 12/4

y = 3 ... we get the proper y value, so the answer is confirmed.

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