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 answer is B. 8x+6. You multiple 3 and x+4 then combine like terms
To write an equation you need a slop and y intercept. To find the slop use the formula y2-y1 /x2-x1. and for the y intercept use the formula y=mx+b
Answer: (-∞,-1) ∪ (0,+∞)
Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.
In this case, fog(x) means:
fog(x) = f(g(x))
fog(x) = 
This is the function fog(x).
The domain of a function is all the values the independent variable can assume.
For fog(x), denominator can be zero, so:
If x = 0, the function doesn't exist.
<u>Therefore, the domain of this function is: </u><u>-∞ < -1 or x > 0</u>
Answer:
d. 27 cubic feet
Step-by-step explanation:
volume of cube = s^3 = B * s
volume of pyramid = (1/3) * B * h
The volume of a pyramid is 1/3 of the area of the base multiplied by the height. The volume of a cube is the area of the base multiplied by the height. Since the volume of a pyramid has the fraction 1/3 and the volume of the cube does not, then the volume of a cube is 3 times greater than the volume of a pyramid that fits inside and has the same base area.
volume of pyramid = 9 cu ft
volume of cube = 3 * 9 cu ft = 27 cu ft
Answer: d. 27 cubic feet
