Let's use the variable x to represent the length of the first and second pieces.
If the third piece has twice the length of the first and second, its length is 2x.
If the fourth piece has half the length of the first and second, its length is 0.5*x.
Adding all four pieces and equating to 54 inches, we have:
So the length of each piece is:
12 inches, 12 inches, 24 inches and 6 inches.
Answer:
a) 0.004
b) 0.9609
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 76503
Standard Deviation, σ = 8850
We are given that the distribution of annual salaries is a bell shaped distribution that is a normal distribution.
Formula:
a) P(salary greater than 100,000)
P(x > 100000)
Calculation the value from standard normal z table, we have,
b) P(sample mean annual salary falls between 70,000 and 80,000 dollars)
Sample size, n = 20
Standard error due to sampling =