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3 years ago

What is the value of x, given that the two pyramids are similar?

Mathematics

1 answer:

zhenek [66]3 years ago

7 0

Answer:

Step-by-step explanation:

Two pyramids are similar. It means that their side lengths are proportional.

So, let's see the proportionality constant from SMALL PYRAMID to LARGE PYRAMID.

The corresponding length of 8 in small pyramid is 24 in large pyramid. We ask ourself: "8 times WHAT gives us 24?"

This is the proportionality constant (aka "k").

So, 8 times "3" is 24. So the proportionality constant is "3".

k = 3

Now, the height of small pyramid is 6 and height of large pyramid is "x". These sides will be same way proportional. So, we can say:

6 times the proportionality constant (3) would give us x

So,

6 * 3 = x

x = 18

Correct answer is C

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Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw

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Answer:

(1) The correct option is (A).

(2) The probability that Aadi will get Tails is $\frac{2}{5}$ .

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It is provided that:

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Sue throw the same coin 50 times. She gets 20 tails.

The probability of tail in both cases is:

$P(\text{Tail})=\frac{3}{10}$
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(1)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the proportion of tails.

Then according to the Central limit theorem, Sue's estimate is best because she throws it n = 50 > 30 times.

Thus, the correct option is (A).

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As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

$P(\text{Tail})=\frac{20}{50}=\frac{2}{5}$

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pretty sure its 9

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