Set up a ratio and solve for the missing value:
The couple rested for 45 minutes in 5 hours.
X^2 + 12x + n
x^2 + 12x + (12/2)^2
x^2 + 12x + 6^2
n = 36
(x + 6)^2 will give you a perfect square.
The answer would be A.) 1
To find this answer you solve for x. Subtract 3/2 from both sides. This will give you 1/2x = 1/2^x. Then, divide by 1/2 on both sides to get x = 1.
To check this fill in x with 1. Then solve.
- 1/2 * 1/1 + 3/2 = 2^1
- 1/2 + 3/2 = 2
- 4/2 = 2
- 2 = 2
Thus making 1 the answer. Here's an image to show how I got this. I hope this helps!
Answer:
6 dozens
Step-by-step explanation:
Vanilla, v = x
Chocolate, c = 3x
Strawberry, s = 3 dozens = 36
Total cupcakes = 132
Hence,
x + 3x + 36 = 132
4x = 96
x = 96 / 4
x = 24
Chocolate = 3 * 24 = 72
Dozens of chocolate = 72 /12 = 6 dozens
Answer:
What is P(A), the probability that the first student is a girl? (3/4)
What is P(A), the probability that the first student is a girl? (3/4)What is P(B), the probability that the second student is a girl? (3/4)
What is P(A), the probability that the first student is a girl? (3/4)What is P(B), the probability that the second student is a girl? (3/4)What is P(A and B), the probability that the first student is a girl and the second student is a girl? (1/2)
The probability that the first student is a girl is (3/4), likewise for the 2nd 3rd and 4th it's still (3/4). The order you pick them doesn't matter.
However, once you're looking at P(A and B) then you're fixing the first position and saying if the first student is a girl what's the probability of the second student being a girl.
