Answer:

Step-by-step explanation:
we know that
Haley's car gets at least
miles per gallon
so
by proportion
Find the minimum number of gallons she'll need for a trip that is
miles

Answer:
7.43
Step-by-step explanation:
Answer:
Z = 3
Step-by-step explanation:
In a normal distribution, the Z score that corresponds with a data point x is calculated using the formula;

For the case given, the z score will be;

Answer:
Step-by-step explanation:
f(x) = 3x² -5x - 1
f'(x) =2*3x - 5*1 +0
= 6x - 5
f'(4) = 6*4 - 5
= 24 - 5
= 19
Answer:
<em>It will take 12 hours to fill the tank</em>
Step-by-step explanation:
Proportions
Tap A fills a tank in 4 hours. It means each hour it fills 1/4 of the tank.
Tap B fills the tank in 3 hours. Each hour it fills 1/3 of the tank.
Tap C empties the tank when full in 2 hours. Each hour it empties 1/2 of the tank.
Each hour, the tank gets filled by:

Since the tank fills 1/12 of its capacity in one hour, it follows that it will take 12 hours to fill the tank