Use the distributive property to simplify this expression: negative 2 (3 x + x minus 5). 1. Using order of operations, combine like terms in the parentheses: negative 2 (4 x + negative 5). 2. Distribute negative 2 to each term in the parentheses. Arrows are drawn from negative 2 to 4 x and from negative 2 to negative 5. What is the simplified algebraic expression?
4x – 5
–8x – 5
–8x + 10
–8x – 10

P(x = 12) = 0.1144.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have received the vaccination, or they have not. The probability of an adult receiving the vaccination is independent from 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

Sample of 20 adults

This means that

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

This is .

P(x = 12) = 0.1144.