Answer:
The correct answer is D
Step-by-step explanation:
let me know if i was wrong
Answer:
3432 different ways.
Step-by-step explanation:
Since the men and women are not individually characterized (no names are given) we will treat them as similar objects with regards to permutations.
Let's leave out the two women that receive the award first.
We now have 7 men and 7 women to receive the reward.
This translates to the following permutation:
= 3432 different ways to give out the awards.
The 7! in the denominator exist to account for same objects, 7! for men and 7! for women.
Answer:
1 in 144
Step-by-step explanation:
There is one 8 on a 12-sided die, so the probability of rolling an 8 once is .
We are rolling twice, so .
10x15= 150 that's for the first one
Given:
Length = x + x + 3 = 2x + 3
Width = 2 + x
Area = length * width
91 ft² = (2x + 3) (2+x)
91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85
(2x + 17) ( x - 5)
x = -17/2 or x = 5
Let x = 5 ;
length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7
Area = 13 x 7 = 91
Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
Perimeter = 2(20)
Perimeter = 20 feet of fencing