The top answer is correct.
Answer:
The answer is below
Step-by-step explanation:
Given that mean (μ) = 23 hours, standard deviation (σ) = 10 hours
a) The population is a group of self employed home based workers while the variable is the number of hours worked per week.
b) The mean of the distribution of sample means (also known as the Expected value of M) is equal to the population mean μ.

The standard deviation of the distribution of sample means is called the Standard Error of M, it is given by:

c) 

d) The sample size has no effect on the mean, hence increasing the sample size does not change the mean.
The square root of sample size is inversely proportional to the standard deviation therefore increasing the sample size reduces the standard deviation.
The equation described above can also be written as,
y = -x² + 100x + 4000
To get the number of notebooks that will give them the maximum profit, we derive the equation and equate to zero.
dy/dx = -2x + 100 = 0
The value of x from the equation is 50. Then, we substitute 50 to the original equation to get the profit.
y = -(50^2) + 100(50) + 4000 = 6500
Thus, the maximum profit that the company makes is $6,500/day.
Answer:
1545.66 rad/h
Step-by-step explanation:
We need to find the angular velocity in rad/hour when wind is moving with a speed of 4.1 rpm.
We know that,
1 revolution = 2π rad
1 hour = 60 minute
So,

So, the required angular velocity is 1545.66 rad/h.
9;9
Explanation:
You divide 18 by 2 to get 9 and divide 27 by 3 to get 9.
Hope that helps!