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GaryK [48]
3 years ago
10

What is the volume of a rectangular prism with the dimensions: base 5/ 8 cm, height 3/8 cm, and length 7/8 cm?

Mathematics
2 answers:
suter [353]3 years ago
7 0
The answer is D
Yahoooo
vichka [17]3 years ago
5 0

105/512 cm³

Step-by-step explanation:

Step 1:

To find the volume of rectangular prism = L*B*H

Where L=Length of Prism

           B= Base of Prism

           H= Height of Prism

Step 2:

     Here L= 7/8 cm

              B= 5/8 cm

               H= 3/8 cm

By using BODMAS rule simplification is done.

BODMAS- Brackets Orders Division Multiplication Addition Subtraction

Volume = (5/8)* (3/8) * (7/8)

             = (5*3*7)/(8*8*8)

              = (105)/(512)  cm³

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Answer:

a. The test statistic for this hypothesis would be z=1.71

b. Critical value at α = 0.10: z=1.282

c. Reject H0, the television network should not keep its current lineup.

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Step-by-step explanation:

We have to performa an hypothesis test on a proportion.

The claim is that the proportion of viewers that prefer the new show is bigger than 50% (meaning that most viewers prefer the new show).

The null hypothesis will state that both shows have the same proportion.

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The standard error of the proportion is:

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Then, the z-statistic can be calculated as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.53-0.50-0.5/827}{0.017}=\dfrac{ 0.029 }{0.017} =1.706

The critical value for a right tailed test at a significance level of 0.10 is zc=1.282. This value can be looked up in a standard normal distribution table.

As the statistic is bigger than the critical value, it lies in the rejection region. The null hypothesis is rejected. There is evidence to support the claim that the proportion of viewers which support the new show is larger than 0.50.

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