C. Corresponding angles postulate! :)
I believe this problem has 3 questions:
a. Explain why the three conditions are satisfied for X to have
the binomial distribution.
b. Identify n and p for the binomial distribution.
c. Find the probability that the family has two girls and
two boys.
Answers:
a. First because there are only 2 possible outcomes for
each birth: male or female. Hence a binomial distribution. <span>
Second, because the probability of giving out a girl is
constant: 0.49 for each birth.
Third, the probability of a giving out a girl does not depend
on whether or not there is already a boy or a girl in the family. </span>
b. The n is the total number of children, so n = 4
While the p is the success of being a girls, so P = 0.49
c. We use the binomial probability equation:
P (X) = nCx * p^x * q^(n-x)
<span>P(X=2) = 4!/(2!2!) * 0.49^2 * 0.51^2 = 0.3747</span>
Answer:
Step-by-step explanation
cross-section is 10 inches by 16 inches
area = 10*16 = 160 square inches
Answer:
$39.20
Step-by-step explanation:
Since she purchased a $49 gift and uses a coupon that offers 20% off, multiply the cost by 80% (0.8)
49(0.8)=39.2
Marie will spend $39.20 on the gift after using the coupon.
Answer:
The highest score is 32.
Step-by-step explanation:
We are given the following in the question:
The mean score of 8 players is 14.5.
Let x denote the highest score.
If x is removed, the mean of the score of the remaining 7 players is 12.
Formula for mean:
Putting values, we get:
Thus, the highest score is 32.
