Answer:
D. Step 1 only.
Step-by-step explanation:
Here, Josie didn't use the distributive property correctly. The other two steps are still right, so D is correct.
How it should have been done:
x + 3 + 7x(x - 5)
<em>Use the distributive property to multiply 7x by x - 5.</em>
x + 3 + 7x² - 35x (The boldened part is what should have happened for Step 1)
<em>Combine x and -35x to get -34x.</em>
7x² - 34x - 3 is what the earlier equation should be simplified to.
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.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

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 
20 adults
This means that 
Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.
This is P(X = 12).


11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.
I think the answer would be B