Answer:
a.) .95
b.) The expected number of baskets is 10.50.
c.) 1.7748
Step-by-step explanation:
a.) This is a binomial distribution as there are two possibilities: makes a free throw or doesn't. This means that you can use the binomial function on a calculator to figure out the answer. Use the binomial CDF function on a calculator and the number of trials=15, probability of success=.7, lower bound=0, upper bound=7. Once you have evaluated the answer, .0500, it will need to be subtracted from1, as you want everything not included in this section. The answer to part a is thus 1-.0500=.95.
b.) The expected value is calculated by taking the total number of shots and multiplying it by the probability of making the shot: 15×.7=10.5 shots.
c.) The standard deviation of a binomial distribution can be calculated by the formula
. Plugging in the numbers you get
=1.7748.
Answer:
-14n^4 + 7n^2 + 8n + 7
Step-by-step explanation:
( 8n - 3n^4 + 10n^2 ) - ( 3n^2 + 11n^4 - 7)
8n - 3n^4 + 10n^2 - 3n^2 - 11n^4 + 7
- 14n^4 + 7n^2 + 8n + 7
Answer:
Afful is 21 and Naomi is 13.
Step-by-step explanation:
Let
represent the age of Afful and
represent the age of Naomi.
The sum of their ages is 34. In other words:

In 5 years time, Afful will be two times the age of Naomi <em>now</em>. In other words:

Solve for the system. Substitute.

Afful is currently 21 and Noami is currently 13.
Answer: 31
How: If there are two negative signs like this, you would connect them together and make it into a addition sign where you then can add them.