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.
Answer:
A = (2x² + 4x + 1) (8 − x)
A = -2x³ + 12x² + 31x + 8
Step-by-step explanation:
W = 2x² + 4x + 1
L = 8 − x
Area is width times length.
A = (2x² + 4x + 1) (8 − x)
If you wish, you can simplify with distribution.
A = 8 (2x² + 4x + 1) − x (2x² + 4x + 1)
A = 16x² + 32x + 8 − 2x³ − 4x² − x
A = -2x³ + 12x² + 31x + 8
3 is the greatest common denominator
Answer:
Step-by-step explanation:
To get the answer just subtract f(x) by g(x)
The work is shown below:
Answer:
57 units^2
Step-by-step explanation:
First find the area of the triangle on the left
ABC
It has a base AC which is 9 units and a height of 3 units
A = 1/2 bh = 1/2 ( 9) *3 = 27/2 = 13.5
Then find the area of the triangle on the right
DE
It has a base AC which is 6 units and a height of 1 units
A = 1/2 bh = 1/2 ( 6) *1 = 3
Then find the area of the triangle on the top
It has a base AC which is 3 units and a height of 3 units
A = 1/2 bh = 1/2 ( 3) *3 = 9/2 = 4.5
Then find the area of the rectangular region
A = lw = 6*6 = 36
Add them together
13.5+3+4.5+36 =57 units^2
