Please help It’s the picture above

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

Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value. two parabolas open up with f

IgorLugansk [536]

Answer:

5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Jerome finds out that (3×6) and 18÷2 areequal Explaim why this is true.

ASHA 777 [7]

Because 3*6= 18 and 18/2 equals 9. So therefore they are NOT equal.

5 0

4 years ago

Read 2 more answers

What is the slope of the line with the following equation? <img src="https://tex.z-dn.net/?f=2x%2B3y%3D2" id="TexFormula

KengaRu [80]

QUESTION

Your equation is 2x+3y=2 and you need to find the slope.

EXPLANATION

There are many ways to find the slope with an equation like this. I'm going to change the equation into slope-intercept form.

Slope-intercept form is formatted like this:

y=mx+b

m represents the slope. The first thing you need to do is leave 3y alone to change the equation into slope-intercept form. That means you need to subtract 2x from both sides.

$2x+3y=2 \rightarrow 3y=2-2x\ or\ 3y=-2x-2$

The next thing you need to do is leave y alone, just like the slope-intercept form example. To leave y alone, you need to divide 3y by 3.

$\frac{3y}{3}=\frac{-2x-2}{3} \\ \\ y=-\frac{2}{3}x-\frac{2}{3}$

Now the equation has been changed to slope-intercept form. In the equation, m has been replaced by $-\frac{2}{3}$ , which means that is your answer.

Answer: $-\frac{2}{3}$

5 0

3 years ago

Read 2 more answers

Need help please!!!!!

Yanka [14]

Answer:

Side 1 = 8, side 2=6, side 3=3 1/3 or 10/3

Step-by-step explanation:

We can set up a proportion comparing the sides of the original triangle to the new triangle.

The original triangle has sides 12, 9, and 5. The new triangle has sides 8, e, and f (use whatever letters you like, it doesn't matter, but for me, e is the side with the middle length and f is the side with the shortest length.

We can write 3 ratios, with the length of the new triangle over the length of the old triangle.

8/12 e/9 f/5

To figure out e and f, put each ratio equal to 8/12.

8 = e Then multiply both sides of the equation by 9 and get 72 = e, 6=e.

12 9 12

8 = f Then multiply both sides of the equation by 9 and get 40 = f, 10=f.

12 5 12 3

10/3 can be rewritten as 3 1/3.

6 0

3 years ago