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Eduardwww [97]
3 years ago
13

Factor −1/3 out of −1/3x−8.

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

For this case we have the following expression:

- \frac {1} {3} x-8

We take common factor - \frac {1} {3}, for this we must take into account that:

- * + = -\\\frac {24} {3} = 8

So, factoring the expression we have:

- \frac {1} {3} (x + 24)

ANswer:

The factored expression is:

- \frac {1} {3} (x + 24)

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3 years ago
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.

3 0
3 years ago
What is the answer to 677 x 44?
vodomira [7]

Answer:

29,788

Step-by-step explanation:

677 x 44

29,788

7 0
3 years ago
Read 2 more answers
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