AB is the large segment.
AM is half of the large segment.
MB is the second half of the large segment.
AM = MB is true.
Segment AM is congruent to segment MB is true.
AB = MB is false.
Answer:
Step-by-step explanation:
Let X be the initial price and P be the final price.
#Given a discount of 15% then 10% of that amount:
![P_1=(1-o)[X(1-d)}\\\\=(1-0.15)[X(1-0.10)]\\\\=0.765X](https://tex.z-dn.net/?f=P_1%3D%281-o%29%5BX%281-d%29%7D%5C%5C%5C%5C%3D%281-0.15%29%5BX%281-0.10%29%5D%5C%5C%5C%5C%3D0.765X)
Hence, the finial price is 76.5% of the initial price.
#Given a discount of 10% then 15% of that amount:
![P_1=(1-o)[X(1-d)}\\\\=(1-0.15)[X(1-0.1)]\\\\=0.765X](https://tex.z-dn.net/?f=P_1%3D%281-o%29%5BX%281-d%29%7D%5C%5C%5C%5C%3D%281-0.15%29%5BX%281-0.1%29%5D%5C%5C%5C%5C%3D0.765X)
Hence, the finial price is 76.5% of the initial price.
#Given a discount of 25%
Hence, the finial price is 75.0% of the initial price. It therefore give's the best price due to it's 25% price reduction.
Answer:
The expected volume of the box is 364 cubic inches.
Step-by-step explanation:
Since the die is fair, then P(X=k) = 1/6 for any k in {1,2,3,4,5,6}. Let Y represent the volume of the box in cubic inches. For how the box is formed, Y = X²*24. Thus, the value of Y depends directly on the value of X, and we have
- (When X = 1) Y = 1²*24 = 24, with probability 1/6 (the same than P(X=1)
- (When X = 2) Y = 2²*24 = 96, with probability 1/6 (the same than P(X=2)
- (When X = 3) Y = 3²*24 = 216, with probability 1/6 (the same than P(X=3)
- (When X = 4) Y = 4²*24 = 384, with probability 1/6 (the same than P(X=4)
- (When X = 5) Y = 5²*24 = 600, with probability 1/6 (the same than P(X=5)
- (When X = 6) Y = 6²*24 = 864, with probability 1/6 (the same than P(X=6)
As a consequence, the expected volume of the box in cubic inches is
E(Y) = 1/6 * 24 + 1/6*96 + 1/6*216+ 1/6*384+ 1/6*600+1/6*864 = 364
Answer: (c)
Step-by-step explanation:
Given
The sticker price is $40,000
The option price is $6000
Destination fees are $800
The base sticker price is 90% of the price i.e.
The option price is 80% of included options i.e.
Dealers cost is given by the sum of three costs
Thus, option c is correct.
