Answer:
3,500
Step-by-step explanation:
70% is equal to 0.70.
When you need to find a percent of a population, you multiply the decimal form to the population.
Therefore, with 70% of 5000, you multuiply 5000 by 0.70 which will give you 3500.
3,500 students would select roller coasters as their favorite ride.
Answer:
135 degrees
Step-by-step explanation:
all the angles in a triangle need to add to 180 degrees, so you take
180-(65+70)= 45
Then you just find the supplementary angle
45+x=180
x=135
Expected Mean, E(X), is obtained by multiplying each pair of
and its
and add up the answers
E(X) = (0×0.7) + (1×0.2) + (2×0.1) = 0.4
The formula to calculate the variance, Var(X), is given by E(X)² - (E(X))²
E(X²) = (0²×0.7) + (1²×0.2) + (2²×0.1) = 0+0.2+0.4 = 0.6
(E(X))² = (0.4)² = 0.16
Var(X) = 0.6 - 0.16 = 0.44
Translating these answers into the context we have
E(Y) = 0.4×500 = $200
Var(Y) = $110
