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Goryan [66]
3 years ago
10

The rectangles shown below are similar.

Mathematics
2 answers:
Zolol [24]3 years ago
5 0

Answer:

The scale factor is 2.5

goldfiish [28.3K]3 years ago
3 0
The scale factor of the rectangle is 2.5. This is because 10 is 2.5x larger than 4. This means that shape EFGH is 2.5x bigger than ABCD.
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On a multiple-choice test. Abby randomly guesses on all seven questions. Each question
Murrr4er [49]

Answer:

0.173 probability that she gets exactly three questions correct.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Seven questions:

This means that n = 7

Each question has four choices.

Abby guesses, which means that p = \frac{1}[4} = 0.25

Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{7,3}.(0.25)^{3}.(0.75)^{4} = 0.173

8 0
3 years ago
Which points on the wave are the trough and the crest?
Vlad1618 [11]

Answer:

ok

trough is the y

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I put a picture for help

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RideAnS [48]

Answer:

226pi

Step-by-step explanation:

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4 0
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Product means multiplication.

Given w= weight of a trout.

So, we need to convert "product of 16 and weight of trout: w " into an algebraic expression.

So, product of 16 and w can be written as 16*w or simply 16w.

Hence, B is the correct choice.

8 0
3 years ago
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