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Artist 52 [7]
3 years ago
13

A cube has a volume of 1,000 cubic feet. What is the edge length of the cube?

Mathematics
2 answers:
Tom [10]3 years ago
7 0

Answer:

10

Step-by-step explanation:

V = L x W x H

well a cube is 100% equal in all measurements

so 10 x 10 x 10 = 1,000.

So that means each edge length is 10

Komok [63]3 years ago
6 0

Answer:

10

Step-by-step explanation:

The volume of a cube is equal to its (side length)^3

so s^3 = 1000

s=\sqrt[3]{1000} =10

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Batteries produced by a manufacturing company have had a life expectancy of 135 hours. Because of an improved production process
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Answer:  c. z = 1.35; Reject the null hypothesis

Step-by-step explanation:

Let \mu be the average life expectancy of its batteries.

As per given , we have

Null hypothesis : H_0 : \mu =135

Alternative hypothesis : H_a : \mu >135

Since H_a is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Test statistic : \dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overlien{x}= sample mean

\mu= Population mean

\sigma=population standard deviation

For n=42,\ \overline{x}=140\ \&\ \sigma=24, we have

z=\dfrac{140-135}{\dfrac{24}{\sqrt{42}}}=1.35015431217\approx1.35

Critical one-tailed test value for 0.10 significance level :

z_{0.1}=1.28

 Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .

[When critical value is less than the test statistic value , we reject the null hypothesis .]

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