Answer: B. 24%
Step-by-step explanation:
Np
Answer:
The answer is below
Step-by-step explanation:
Let B represent those that like badminton, F represent those that like football and V represent those that like volleyball. Let x represent the total number of people.
n(B) = (1/3)x, n(F) = (3/4)x, n(V) = (5/6)x
n(B∩F∩V) = 20% of x = 0.2x
n(B∩F) = 17, hence n(B∩F∩V') = 17 - 0.2x
n(V∩F) = 60, hence n(B'∩F∩V) = 60 - 0.2x
n(B∩V) = 65, hence n(B∩F'∩V) = 65 - 0.2x
n(B∪F∪V)' = 8
n(B∩F'∩V') = (1/3)x - 0.2x - (17 - 0.2x) - (65 - 0.2x) = 0.533x - 82
n(B'∩F∩V') = (3/4)x - 0.2x - (17 - 0.2x) - (60 - 0.2x) = 0.95x - 77
n(B'∩F'∩V) = (5/6)x - 0.2x - (60 - 0.2x) - (65 - 0.2x) = 1.033x - 125
Therefore:
x = n(B∩F'∩V') + n(B'∩F∩V') + n(B'∩F'∩V) + n(B∩F∩V) + n(B∩F∩V') + n(B'∩F∩V) + n(B∩F'∩V) + n(B∪F∪V)'
x = (0.533x - 82) + (0.95x - 77) + (1.033x - 125) + (0.2x) + (17 - 0.2x) + (60 - 0.2x) + (65 - 0.2x) + 8
x = 2.1166x - 134
1.1166x = 134
x = 120
Therefore there was 120 students
The most important thing in this problem is understanding and then dividing the given units properly. The first thing that is given is that the CD makes 58 1/2 revolutions in 3/4 minutes. We have to first simplify the number of revolutions made by the CD. This will make the problem in hand very easy.
Number of revolutions made by the CD = 58 1/2
= 117/2
Then
The unit rate = (117/2)/(3/4)
= (117 * 4)/(2 * 3)
= (117 * 2)/3
= 39 * 2
78
So the unit rate is 78 revolutions per minute.
Answer:
a. yes
Step-by-step explanation:
The given function is
Since;
The function is continuous at 
Answer:
A) 64 cm²
Step-by-step explanation:
Trapezoid area formula:
Given:
a = 6
b = 10
h = 8
Work:
