Answer:
A) 0.28
B) 0.615
C) 0.26
Step-by-step explanation:
We are given;
Probabilities of customers using regular gas:P(A1) = 40% = 0.4
Probabilities of customers using plus gas: P(A2) = 35% = 0.35
Probabilities of customers using premium gas: P(A3) = 25% = 0.25
We are also given with conditional probabilities of full gas tank:
P(B|A1) = 40% = 0.4
P(B|A2) = 80% = 0.8
P(B|A3) = 70% = 0.7
A) The probability that next customer will requires extra unlead gas(plus gas) and fill the tank is:
P(A2 ∩ B) = P(A2) × P(B|A2)
P(A2 ∩ B) = 0.35 × 0.8
P(A2 ∩ B) = 0.28
B)The probability of next customer filling the tank is:
P(B) = [P(A1) • P(B|A1)] + [P(A2) • P(B|A2)] + [P(A3) • P(B|A3)]
P(B) = (0.4 × 0.4) + (0.35 × 0.8) + (0.25 × 0.7)
P(B) = 0.615
C)If the next customer fills the tank, probability of requesting regular gas is;
P(A1|B) = [P(A1) • P(B|A1)]/P(B)
P(A1|B) = (0.4 × 0.4)/0.615
P(A1|B) = 0.26
The Simplification of the expression 7 exponent 7/7 exponent 4 is 7³
<h3>Exponent</h3>
7 exponent 7/7 exponent 4
= 7^7 ÷ 7^4
Using the law of indices which states that:
- Division of an exponential expression with equal base should be subtracted
7^7 ÷ 7^4
= 7^(7-4)
= 7^3
Therefore, the Simplification of the expression 7 exponent 7/7 exponent 4 is 7³
Learn more about exponent:
brainly.com/question/11761858
#SPJ1
Answer:
Isosceles Right
Step-by-step explanation:
Isosceles triangles have 2 sides of equal length and 2 angles of equal measure.
An isosceles right triangle also includes a right angle of 90°
Answer:
24
Step-by-step explanation: