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scoundrel [369]
2 years ago
8

Estimate the original volume of the pyramid in Fig. 15.28, given that its frustum has a 4 m by 4 m square top which is 12 m vert

ically above the square base which is 20 m by 20m.
​
Mathematics
1 answer:
puteri [66]2 years ago
8 0

The volume of the pyramid is 2496 cu.m.

<h3>What is a Pyramid ?</h3>

A pyramid is a three dimensional structure which has a polygon base and  in general triangular faces which join at the top .

It is given that

A pyramid \rm frustum has a 4 m by 4 m square top

Height = 12 m

Base = 20 m

The volume of a square pyramid with a  \rm frustum is given by

V = (1/2) * ( Area of base + Area of  \rm frustum ) * height of the  \rm frustum from the base

V = 0.5 * ( 20 *20 + 4*4 ) * 12

V = 2496 cu.m

The volume of the pyramid is 2496 cu.m.

To know more about Pyramid

brainly.com/question/13057463

#SPJ1

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Answer:

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Step-by-step explanation:

We are given the following in the question:  

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Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

\sigma^2 = 256\\\sigma = \sqrt{256} = 16

First, we design the null and the alternate hypothesis

H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25

Now,

Degree of freedom =

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We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .            

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In Triangle QRS, X is the midpoint of QR, Y is the midpoint of RS, and Z is the midpoint of QS.
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Answer:

Step-by-step explanation:

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