Considering the situation described, we have that:
- The appropriate null hypotheses is
.
- The appropriate alternative hypotheses is
.
<h3>What are the hypotheses tested?</h3>
At the null hypotheses, it is tested if the mean has not been reduced, that is, it still is of 5.2 hours, hence:
.
At the alternative hypothesis, it is tested if the mean has been reduced, that is, it is now of less than 5.2 hours, hence:

More can be learned about hypotheses tests at brainly.com/question/26454209
Answer:
The Answer Is 74. Your Welcome
Answer:
2.2%
Step-by-step explanation:
Given the following :
Population in year 2000 (A) = 4.2 million
Expected population every 32 years = 2 *A
The growth rate per year =?
The population figure after 32 years = (2 * 4.2 million) = 8.4 million
Using the exponential growth formula :
P(t) = A × (1 + r)^t
(1 + r) = g = Total growth percent
A = Initial population
t = time
P(t) = 8.4 million
8,400,000 = 4,200,000 × g^32
g^32 = (8400000/4200000)
g^32 = 2
Taking the root of 32 on both sides
g = 1.02189714865
g = (1 + r)
1.02189714865 = 1 + r
r = 1.02189714865 - 1
r = 0.02189714865
.rate = 0.02189714865 * 100
= 2.18971486541%
= 2.2% ( nearest tenth)
Answer:
Step-by-step explanation:
The cube root of 15,409,000 = 248.84 yards.
There are 1760 yards in a mile
One edge of a cube = 248.84 / 1760 = .141386 miles.
So a cube would be .00283cubic miles. Your answer does not reach a hundredth place, I don't think.
Answer:
2122.64 in^2
Step-by-step explanation:
Use the formula for the area of a circle: A=πr^2
The radius will be half the width of the cloth so 52÷2=26
26^2=676
Multiply by π given as 3.14
676×3.14=2122.64 square inches.
The symbol (carat) ^ is used to indicate an exponent when the keyboard doesn't have superscript.