Answer:
The mean of the sampling distribution of means for the 36 students is of 18.6 homework hours per week.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
For the population, the mean is 18.6. So, by the Central Limit Theorem, the mean of the sampling distribution is also 18.6.
The answer to life, the universe and everything is 42.
Answer:
-60
Step-by-step explanation:
h(x)=-7x-11
h(7)=-7(7)-11
h(7)=-49-11
h(7)=-60
The area of the circle formed when the plane passes through the center of the given sphere is: 15π cm².
<h3>What is the Area of a Circle?</h3>
Area of a circle = πr² (radius of the circle = r).
Given the following:
- Radius of sphere = 8 cm
- Distance of the plane from the center of the sphere = 7 cm
Radius of the circle = √((radius of sphere)² - (distance of the plane from the center of sphere²)) = √(8² - 7²)
Radius of the circle = 3.87 cm
Area of the circle = π(3.87²) ≈ 15π cm².
Learn more about the area of a circle on:
brainly.com/question/15265467
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