He would spend $65.80 on 20 gallons of gas.
Answer:
Not independent.
Step-by-step explanation:
Given that P(A)=0.25 , P(B)=0.2 , and P(A and B)=0.04
To check whether A and B are independent.
Two events are independent if
P(A/B) = P(A) or P(B/A) = P(B) or P(AB) = P(A) P(B)
if any one of the above three is true also, the two events would be independent.
Let us find out first one
P(A/B ) = P(AB)/P(B) (as per conditional probability formula)
= 0.04/0.2=0.2
But P(A) = 0.25 and not equals P(A/B)
Hence we can conclude that A and B are not independent
because P(A/B) not equals P(A)
Answer:
The length is 23 inches and the width is 6 inches.
Step-by-step explanation:
The perimeter for a rectangular shape is represented as:
P = 2L + 2W, where L represents length and W represents width
We can represent the length as:
L = 3W + 5
Substituting this into the perimeter function, we get:
P = 2 (3W + 5) + 2W
Substituting 58 for P, we get:
58 = 2 (3W + 5) + 2W
58 = 6W + 10 + 2W
58 = 8W + 10
58 - 10 = 8W + 10 - 10
48 = 8W
48 / 8 = 8W / 8
6 = W
With 6 being the established value for the width, we can substitute this back into the equation for length:
L = 3W + 5
L = 3(6) + 5
L = 18 + 5
L = 23
To check our work, we can substitute both the width and length into the perimeter equation:
P = 2L + 2W
58 = 2(23) + 2(6)
58 = 46 + 12
58 = 58
Therefore, length is 23 inches and the width is 6 inches.
Answer:
k+1/2 =4
subtract 1/2 from both sides
= k = 3.5 or 3 1/2
