Answer: $2193
Step-by-step explanation:
v(x) = 32,500
Plug two and three in for x
v(2) = 32,500
v(2) = 32,500(.8464)
v(2) = 27,500
v(3) = 32,500
v(3) = 32,500(.778688)
v(3) = 25,307.36
Subtract v(3) from v(2)
27,500 - 25,307.36 = 2192.64
Round to the nearest dollar to get $2193
Frankie's yard is a rectangle with the longer side = 32ft and the shorter side = 20ft. You want to find the length of the diagonal going through the rectangle. In essence, you basically have a triangle with two sides, one 32ft, the other 20ft, and you're looking for the hypotenuse.
Let's call a=32, b=20, and you're looking for the hypotenuse c. Use the Pythagorean theorem:

Plug the numbers in to find c, the length of your path! So
Answer:
1.05 ± 0.05 lbs
Step-by-step explanation:
Hi!
We can calculate this interval with the z-score of the 90% which is (by convention) 1.645
The interval is calculated as follows:

where x_m is the mean, σ the standar deviation and n is the number of samples:
replacing these values we get:

*rounded to the first decimal*
1.05 ± 0.05