Answer:
9. x=13.5
10. x=11.5
Step-by-step explanation:
Given:
μ = 200 lb, the mean
σ = 25, the standard deviation
For the random variable x = 250 lb, the z-score is
z = (x-μ)/σ =(250 - 200)/25 = 2
From standard tables for the normal distribution, obtain
P(x < 250) = 0.977
Answer: 0.977
Answer:
Step-by-step explanation:
There is a formula for the area of a sector given the radius and the angle measure.
n = angle measure
r = radius
Use Law of Cooling:
T0 = initial temperature, TA = ambient or final temperature
First solve for k using given info, T(3) = 42
Substituting k back into cooling equation gives:
At some time "t", it is brought back inside at temperature "x".
We know that temperature goes back up to 71 at 2:10 so the time it is inside is 10-t, where t is time that it had been outside.
The new cooling equation for when its back inside is:
Solve for x:
Sub back into original cooling equation, x = T(t)
Solve for t:
This means the exact time it was brought indoors was about 2.5 seconds before 2:05 PM
Answer:
1 69/145 cups
Step-by-step explanation:
We can use ratio's to solve this problem. We will put water over time
214 cups x cups
--------------- = --------------
145 hours 1 hours
Using cross products
214 *1 =145 x
Divide both sides by 125
214/145 = 145x/145
214/145 = x
145 goes into 215 1 time with 69 left over
1 69/145