Answer: a. 69.72 ± 1.37
Step-by-step explanation:
We want to determine a 90% confidence interval for the mean height (in inches) of adult men in the United States.
Number of sample, n = 25
Mean, u = 69.72 inches
Standard deviation, s = 4.15
For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z × standard deviation/√n
It becomes
69.72 ± 1.645 × 4.15/√25
= 69.72 ± 1.645 × 0.83
= 69.72 ± 1.37
The lower end of the confidence interval is 69.72 - 1.37 = 68.35
The upper end of the confidence interval is 69.72 + 1.37 = 71.09
Answer:
a. $20.45
b. $24.55
c. $4.55
Step-by-step explanation:
In this question, we are asked to calculate the cost price and profit or loss selling a pair of shoes.
we proceed as follows
Firstly, we want to find the cost price given the selling price and the mark up percentage.
mathematically;
profit =( selling price - cost price)/cost price * 100%
here our profit is 120% with the cost price being $45. we plug these values
120 = 45-cp/cp * 100%
120cp = 100(45-cp)
120cp = 4500 -100cp
220cp = 4500
cp = 4500/220 = $20.45
His profit is selling price - cost price = 45 - 20.45 = $24.55
His profit selling same shoe for $25 is 25-20.45 = $4.55
Answer:
No
Step-by-step explanation:
Given values are
f(x) = 5x^3+60x^2+109x+90
x = -10.
Given Polynomial is 5x^3+60x^2+109x+90 .
= (90)+(5.x^3)+(60.x^2)+(109.x)
By putting x = (-10) we can rewrite it as
= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))
= (90)+(-5000)+(6000)+(-1090)
= 0
The remainder of given polynomial is 0.
Range is 1 because they all go up by 1
Answer:
N= -4
Step-by-step explanation:
Just divide both sides by 45.3 to isolate the variable (n).
Hope this helped :)
