Answer:
P(x< 18) = 0.986
Step-by-step explanation:
Step 1: find the z-score using the formula, z = (x - µ)/σ
Where,
x = randomly chosen values = 18
µ = mean = 7
σ = standard deviation = 5
Proportion of the population that is less than 18 = P(x < 18)
Plug in the values into z = (x - µ)/σ, to get z-score.
z = (18 - 7)/5
z = 11/5 = 2.2
Step 2: Find P(x< 18) = P (z<2.2) using z-table.
The probability that corresponds with z-score calculated is 0.986.
Therefore,
P(x< 18) = 0.986
An algebraic expression consists of one or more numbers and variables, for 1/8y it will be y+1/8
Answer:
10.
Step-by-step explanation:
Since 60 is the profit you need to make, you plug in 60 into P(x). So, you get the equation 60=0.3+7x-40. The answer to this equation is 10. I think this is the correct answer.
Answer:
And the confidence interval would be between (3.035;3.365)
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
s=0.8 represent the sample standard deviation
n=40 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence level is 0.80 or 80%, the significance would be and , and the critical value would be
Now we have everything in order to replace into formula (1):
And the confidence interval would be between (3.035;3.365)