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DENIUS [597]
3 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]3 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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Step-by-step explanation:

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Volume of the figure = 32+96=128

5 0
2 years ago
Triangle E D F has sides that are of varying lengths. Side E D has a length of 4 and side E F has a length of 9.
9966 [12]

Answer:

D E + E F greater-than D F

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Triangle D E F is a scalene triangle

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

we have the triangle EDF

where

ED=4\ units\\EF=9\ units

<u><em>Applying the triangle inequality theorem</em></u>

1)

ED+EF > DF\\4+9 > DF\\13 > DF\\DF < 13\ units

2)

ED+DF > EF\\4+DF > 9\\DF > 5\ units

so

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The triangle DEF is a scalene triangle (the three length sides are different)

therefore

<em>The statements that are true are</em>

D E + E F greater-than D F

5 less-than D F less-than 13

Triangle D E F is a scalene triangle

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Step-by-step explanation:

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Answer:

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