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lbvjy [14]
3 years ago
13

If two pyramids are similar and the ratio between the lengths of their edges is 3:4, what is the ratio of their volumes?

Mathematics
1 answer:
Trava [24]3 years ago
8 0

Answer:

The ratio of their volumes is 27/64

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

The scale factor is 3/4

step 2

Find the ratio of their volumes

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

(\frac{3}{4})^{3}=\frac{27}{64}

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Is f (x)=4/x a exponential function
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Merta reports that 74% of its trains are on time. A check of 60 randomly selected trains shows that 38 of them arrived on time.
kenny6666 [7]

Answer:

No, the on-time rate of 74% is not correct.

Solution:

As per the question:

Sample size, n = 60

The proportion of the population, P' = 74% = 0.74

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Now,

The proportion of the given sample, p = \frac{38}{60} = 0.634

Therefore, the probability is given by:

P(p\leq 0.634) = [\frac{p - P'}{\sqrt{\frac{P'q'}{n}}}]\leq [\frac{0.634 - 0.74}{\sqrt{\frac{0.74\times 0.26}{60}}}]

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3 years ago
Ms. drake invests $1000 at a simple interest rate of 8.5% for 2 years. how much interest will she earn in this time?
PilotLPTM [1.2K]

Ms. Drake will earn \$ 170 in this time from the investment of \$ 1000 at a simple interest with rate of interest 8.5\%

<h3>What is the definition of simple interest?</h3>

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Conversely, for compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

Formula for finding simple interest is \frac{principal \times rate \ of \ interest \times time}{100}

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Therefore, Ms. Drake will earn \$ 170 in this time.

To learn more about simple interest from the given link

brainly.com/question/7639734

#SPJ4

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