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klio [65]
3 years ago
9

Please help me.. I don't understand what it is..

Mathematics
1 answer:
tatiyna3 years ago
8 0

9514 1404 393

Answer:

  22.6

Step-by-step explanation:

The diagonal of the square is they hypotenuse of an isosceles right triangle with sides of 16 inches. The Pythagorean theorem tells you its length (d) is ...

  d^2 = 16^2 +16^2 = (16^2)(2)

Taking the square root, we have ...

  d = 16√2 ≈ 22.6 . . . . inches

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Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 32% of all homeowners are ins
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Answer:

P(X = 0) = 0.2138

P(X = 1) = 0.4025

P(X = 2) = 0.2841

P(X = 3) = 0.0891

P(X = 4) = 0.0105

Step-by-step explanation:

For each homeowner, there are only two possible outcomes. Either they have invested in earthquake insurance, or they have not. The probability of a home owner having invested in earthquake insurance is independent from other homeowners. 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.

32% of all homeowners are insured against earthquake damage.

This means that p = 0.32

Four homeowners are to be selected at random.

This means that n = 4

Find the probability distribution of X.

This is the probability of each outcome

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

P(X = 0) = C_{4,0}.(0.32)^{0}.(0.68)^{4} = 0.2138

P(X = 1) = C_{4,1}.(0.32)^{1}.(0.68)^{3} = 0.4025

P(X = 2) = C_{4,2}.(0.32)^{2}.(0.68)^{2} = 0.2841

P(X = 3) = C_{4,3}.(0.32)^{3}.(0.68)^{1} = 0.0891

P(X = 4) = C_{4,4}.(0.32)^{4}.(0.68)^{0} = 0.0105

6 0
3 years ago
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The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both increased by 2
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Answer:

The correct answer is A) 5n = 3d and 3n + 6 = 2d + 4

Step-by-step explanation:

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