Answer:
The mathematical expectation of a student who purchases 10 tickets is -$39.65.
Step-by-step explanation:
A student that purchases 10 tickets out of 2900 has a probability of winning the cruise that can be calculated as:
Each ticket cost $5, so he has spent $50 for the 10 tickets.
Then, the expected value of this operation is equal to the expected value of the earnings (probability of winning the prize multiplied by the value of the prize), minus the costs:
The mathematical expectation of a student who purchases 10 tickets is -$39.65.
Answer:
(gof)(-8) = 210
Step-by-step explanation:
(gof) = (-x + 8)² - 3(-x + 8) = 2
= x² - 16x + 64 + 3x - 24 + 2
= x² - 13x + 42
(gof)(-8) = (-8)² - 13(-8) + 42
= 64 + 104 + 42
= 210
The sound intensity of rustling leaves, y = 20 decibels
<u>Step-by-step explanation:</u>
y = 10logx
The sound intensity of rustling leaves is 100 times the reference intensity.
x = ratio of intensity of sound to reference to intensity
x = 100:1 or x = 100
y = 10 log(100) = 10 * 2 = 20 decibels
y = 20 decibels
Answer:
Step-by-step explanation:
8,6,2, and 1
(2^6 / 8) * 1 = (64/8) * 1 = 8 * 1 = 8
72.25 - 51.5= <span>20.75
it is 20.75 feet longer</span>
