Answer: The area of the parallelogram ABCD = 32.4 sq. cm
Step-by-step explanation:
Given: In parallelogram ABCD, AB = 7.2 cm and the perpendicular drawn from C (altitude) on AB is 4.5 cm i.e.e height =4.5 cm.
Area of parallelogram =
Then, Area of parallelogram ABCD =
=
Therefore , the area of the parallelogram ABCD = 32.4 sq. cm
Although your question is incomplete and the expression is a little incorrect, I have seen it before.
h(t) = -0.2t² + 2t
In order to find the maximum height, we first differentiate the expression and then set the derivative equal to 0. Thus:
0 = -0.4t + 2
t = 5 seconds
The ball reaches its maximum height at 5 seconds
The ball reaches the ground again when h(t) = 0
0 = -0.2t² + 2t
t(-0.2t + 2) = 0
t = 0 ; t = 10
Therefore, the ball reaches the ground when time is 10 seconds
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
M/8 = 21/6
m = 8 *21 / 6
m = 28
answer
D . 28