if a population of scores is normally distributed, has a mean of 45 and a standard deviation of 6, the most extreme 5% of the s
1 answer:
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See attachment for one such shell. The volume is given by the sum of infinitely many thin shells like this, each with radius 
and height determined by the vertical distance between the upper blue curve and the lower orange curve for any given , i.e. 
.
The volume is then
The volume is then
Answer:
Step-by-step explanation:
Make a system of equations
Give the hot and cold faucets variables
Set x to be the minutes it takes for the hot water faucet to fill up the tub and Set y to be the minutes it takes for the cold water faucet to fill up the tub
She first equation is x = 2y because the hot faucet takes <em>2 times</em> as much time as the cold water
The second equation is x + y = 5 because if you add the number of minutes each takes to fill a tub, it will add up to 5 minutes
Now you have the equations
x = 2y
x + y = 5
So you can plug the first equation in for x in the second one to make
2y + y = 5
which equals 3y = 5
Then you divide 3 from both sides to get
y =
Since y is the number of minutes the cold water faucet takes to fill the tub, then the cold faucet takes minutes for the cold water faucet to fill the tub itself