Answer:
Step-by-step explanation:
By the Triangle Proportionality Theorem:
By cross-multiplication:
Distribute:
Subtract 12x from both sides:
Hence:
Answer:
(C) No, the probability of making a second purchase is not equal to the probability of making a second purchase given that a coupon was sent.
Step-by-step explanation:
Let A = the customer makes a second purchase within 30 days and let B = customer is sent a coupon. Events A and B are independent if P(A) = P(A | B).
P(A) = P(the customer makes a second purchase within 30 days) = \frac{50}{100} = 0.5
100
50
=0.5
P(A | B) = P(the customer makes a second purchase within 30 days | customer is sent a coupon) = \frac{34}{60} = 0.567
60
34
=0.567
Because P(A) ≠ P(A | B) making a second purchase is not independent of being sent a coupon.
Answer:
36
Step-by-step explanation:
Simple:
(4)(3)+2((5)(3)−2)−2
=12+2((5)(3)−2)−2
=12+2(15−2)−2
=12+(2)(13)−2
=12+26−2
=38−2
=36
The area of the triangular base is
A = (1/2)bh
A = (1/2)(5 units)(12 units)
A = 30 units²
The "height" of the prism is 6 units, so the volume is
V = (area of base)×(height)
V = (30 units²)×(6 units)
V = 180 units³
The appropriate choice is
A. 180 units³
The a is 11
g(4)=20+a
g(4)=31
31-20=11
a=11
