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Kazeer [188]
3 years ago
12

If one line has a slope of -2/5 what would be the slope of a line perpendicular to that line?

Mathematics
1 answer:
garri49 [273]3 years ago
3 0

Answer:

The slope of the line perpendicular would be 5/2.

Step-by-step explanation:

It would be 5/2, because it is considered a negative reciprocal.

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3 years ago
4. 110 in. = _<br>ft_<br>in.​
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Answer:

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Step-by-step explanation:

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The National Center for Health Statistics (NCHS) reports that 70%70% of U.S. adults aged 6565 and over have ever received a pneu
Marianna [84]

Answer:

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. 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.

70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.

This means that p = 0.7

20 adults

This means that n = 20

Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.

This is P(X = 12).

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

P(X = 12) = C_{20,12}.(0.7)^{12}.(0.3)^{8} = 0.1144

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

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3 years ago
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WILL MARK BRAINLIEST TO THE PERSON WITH THE BEST ANSWER!!! PLEASE ANSWER ALL QUESTIONS AND PLEASE SHOW FULL SOLUTIONS! PLEASE MA
goblinko [34]

Hey there!

Here is a graph of the points:

A scatterplot is a graph, but the points won't be able to connect in a straight line, and they have no relation.

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