A distribution is binomial when their is only two available choices for the variable of interest.
In option A, X is not a binomial distribution because there are more than two diamonds in a card.
In option B, X is not a binomial distribution because there are more than two clubs in a card.
In option C, X is a binomial distribution because a woman in the sample can either be shorter than 64 inches or not.
In option D, X is a binomial distribution because a girl in the sample can either agree to a date or not.
In option E, X is a binomial distribution because a student in the sample can either be shorter than 64 inches or not.
Answer:
Step-by-step explanation:
i) 1
ii) see attached
iii) as x goes from 0 to 2, y decreases parabolically from 1 to an acme at -3
iv) y = (x - 2)² - 3
v) -3 < t < 1
if t < -3 no intersection occurs between y = t and y = (x - 2)² - 3
if t = -3, y = t intersects the curve at only one point, (2, -3)
if -3 < t < 1 there exist two intersecting points with positive x values
if t = 1 there exist only one positive x value intersection as the other is at (0, 1) and 0 is neither positive nor negative.
if t > 1 there is one positive x value intersection and one negative x value intersection.
D: 36, 6 colors with 6 combinations
Multiply
5 1/8 8 goes into 41 5 times with 1 left over
Write the thing spaced out:
4a <u>-5b</u> +6ab <u>-8b</u> -3a
The signs (+,-) are assigned to the numbers it is in front of.
We minus the "like" terms:
4a - 3a = 1a
<u>-5b - 8b = -13b
</u>+6ab = +6ab
Put them all together:
1a - 13b + 6ab
The answer for, "4a - 5b + 6ab - 8b - 3a" = "1a - 13b + 6ab"
