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patriot [66]
3 years ago
13

Estimate the value of 50.75 times 0.18

Mathematics
2 answers:
Elena L [17]3 years ago
4 0
9.14.
392.8
175.4. Hope it helps!


Elenna [48]3 years ago
3 0
<span>Estimate the value of 50.75 times 0.18.  Round off 50.75 to 50 and 0.18 to 0.2.  

Then the approximate product is 10.  

The exact answer is 9.135.  



9.9^2 times 1.79 could be approx'd by  10^2 times 1.8, or 180.

</span>
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g The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control
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0.1426 = 14.26% probability that at least one of the births results in a defect.

Step-by-step explanation:

For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability that a birth results in a defect is independent of any other birth. This means that the binomial probability distribution is used 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.

The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).

This means that p = \frac{1}{33}

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This means that n = 5

What is the probability that at least one of the births results in a defect?

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P(X \geq 1) = 1 - P(X = 0)

In which

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

P(X = 0) = C_{5,0}.(\frac{1}{33})^{0}.(\frac{32}{33})^{5} = 0.8574

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8574 = 0.1426

0.1426 = 14.26% probability that at least one of the births results in a defect.

4 0
3 years ago
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