Answer:
57/6 or 9 1/2.
Step-by-step explanation:
The lowest common denominator is 12 so we convert the fractions to denominator 12:
29/12 + 23/6 + 11/3 - 5 / 12
= 29/12 + 46/12 + 44/12 - 5/12
= 114/12
= 57/6
or 9 1/2
Answer:
x= -3 x = 1/2 x=-2
Step-by-step explanation:
f(x)=(x+3) (2x-1)(x+2)
Set equal to zero
0 =(x+3) (2x-1)(x+2)
Using the zero product property
x+3 =0 2x-1 =0 x+2 =0
x= -3 2x =1 x = -2
x= -3 x = 1/2 x=-2
Answer:
4/3*100^3*π
Step-by-step explanation:
V = 4/3*π*r^3
= 4/3*π*100^3
≈ 4.18879*10^6
Answer:
0.95
Step-by-step explanation:
The computation of the probability that a customer neither buys beer nor buys cigars is given below;
Given that, the probabilities are
The customers who purchased cigars be 0.02
The customers who purchased cigars + beer 0.50
And, the customers who purchased beer + cigars be 0.25
Now the probabilities where the customer purchased both
= 0.05 × 0.02
= 0.10
The probability where the customer purchased beer is
= 0.01 ÷ 0.25
= 0.04
Now the probability where a customer neither buys beer nor buys cigars is
= 1 - 0.02 + 0.04 - 0.01
= 0.95
Answer:
(1) 56 miles/hour
Step-by-step explanation:
We need to find the average rate of change from t = 2 to t = 9.
At t = 2 hours, d = 106 miles.
At t = 9 hours, d = 498 miles.
The average rate of change in function f(x) from x = a to x = b is
[f(b) - f(a)]/(b - a)
average rate of change from t = 2 to t = 9 =
(498 - 106)/(9 - 2) = 392/7 = 56
Answer: (1) 56 miles/hour
