Answer:
The length of the hypotenuse is 5 inches.
Step-by-step explanation:
The formula for finding the hypotenuse is
,
with a and be being the two shorter sides of the triangle, while c is the hypotenuse.
Let's plug in our values for a and b and solve.

16 + 9 = 
25 = 
What is the square root of 25? 5.
The length of the hypotenuse is 5 inches.
Answer:
the remaining money is $1189.22
Step-by-step explanation:
Answer:
The 99% confidence interval for the population mean is 22.96 to 26.64
Step-by-step explanation:
Consider the provided information,
A sample of 49 customers. Assume a population standard deviation of $5. If the sample mean is $24.80,
The confidence interval if 99%.
Thus, 1-α=0.99
α=0.01
Now we need to determine 
Now by using z score table we find that 
The boundaries of the confidence interval are:

Hence, the 99% confidence interval for the population mean is 22.96 to 26.64
Given:
- Outer diameter = D = 80 ft
- Inner diameter = d = 40 ft
So,
Outer radius = R = D/2
=> R = (80 ft)/2
=> R = 40 ft
Inner radius = r = d/2
=> r = (40 ft)/2
=> r = 20 ft
Area of paved pathway = πR² - πr²
= π(R² - r²)
= π(R + r)(R - r)
= π(40 + 20)(40 - 20) ft²
= π(60)(20) ft²
= 3.14 * 1200 ft²
= 3768 ft²