Answer:
b) One sample z-test for means
Step-by-step explanation:
Normal Distribution
we have μ₀ (population mean from previous studies)
sample size n = 100
standar deviation of population σ = 0.75
And it was determined from sample, that μ = 5 : so we want to know if, at some significance level that value (which is smaller than population mean ) could help in relation to decide about rejecting hypothesis H₀
We should use a z one tail-test for means (left tail)
All cone-shaped cups have the same height in 8 inches. They just differ in their diameters. To solve for the volume of the regular and jumbo sizes, let's use the formula for the volume of cone
V = (1/3)*pi*(r^2)*h
r is just the half of the diameter, h is the height which is equal to 8
Regular size:
V = (1/3)*pi*((4/2)^2)*8
V = 33.5 cube inches
Jumbo size:
V = (1/3)*pi*((8/2)^2)*8
V = 134.0 cube inches
Answer:
Step-by-step explanation:
When the exponent is attached to the trig function like that, its essentially the same thing as taking the entire function to that power.
tan^2(x) = (tanx)^2