Find the volume of both shapes please answer will give brainiest Also please answer neatly.

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

6 0

Answer:

2). Volume = 14400 feet³

3). Volume = 157.5 ft³

Step-by-step explanation:

Both the figures given in the sheet attached are a rectangular pyramid and a triangular prism.

2). In this part of the question solid given is in the shape of an rectangular pyramid.

Volume of this oblique pyramid = $\frac{1}{3}(\text{Base})(\text{Height})$

Here 'B' = area of the base

h = height of the pyramid

Volume = $\frac{1}{3}(25\times 36)\times 48$

= 14400 cubic feet

4). Volume of a triangular cone = (Area of the triangular base)×(height)

= $[\frac{1}{2}(\text{Base})(\text{height})]\times {\text{height of the prism}}$

= $\frac{1}{2}(7\times 9)\times {5}$

= 157.5 ft³

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A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than

Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let $\hat p$ = sample proportion of people who prefer to start their own business

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( $\hat p$ $\leq$ 70%)

P( $\hat p$ $\leq$ 70%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } }$ ) = P(Z $\leq$ -1.07) = 1 - P(Z < 1.07)