Root of ( 20^2 - 16^2 ) = 12
A. The number of fabric-pattern-color combinations is 4 * 13 * 9 = 468
B. P(1st choice) = no of novels / total books = 3/6 = 1/2
P(2nd choice) = no of remaining novels/ total remaining books = 2/5
P(both novels) = 1/2 * 2/5 = 1/5 (without replacement assumed)
C. P(1st choice) = no of biographies / total books = 2/6 = 1/3
P(2nd choice) = no of remaining biographies/ total remaining books = 1/5
P(both biographies) = 1/3 * 1/5 = 1/15 (without replacement assumed)
D. P(1st choice) = no of history books / total books = 1/6
P(2nd choice) = no of novels/ total remaining books = 3/5
P(a history, then a novel) = 1/6 * 3/5 = 1/10 (without replacement assumed)
Answer:
39.50
42.50
Step-by-step explanation:
Age of the 2 men = sum of the ages of the 6 men - sum of the ages of the 4 men
Average = sum of ages / total number of men
35 = sum of ages / 6
sum of ages = 35 x6 = 210
32 = sum of ages / 4
32 x 4 = sum of ages
128
210 - 128 = 82
age of the younger man = x
age of the older man = 3 + x
x + 3 + x = 82
2x + 3 = 82
2x = 82 - 3
2x = 79
x = 79/2 = 39.5
older man = 39.5 + 3 = 42.50
Answer:
-3 or decreasing by 3
Step-by-step explanation:
To find the average change, you only care about the first and last point which would be (3,17) and (8,2)
the overall change during that time is 2-17=-15 (for the f(x) side )
the overall change during that time is 8-3=5(for the x side)
all we have to do is -15/5=-3
therefore the average rate of change is -3
