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
Answer:
82 .
Step-by-step explanation:
9x 10 = 90 then 90-8 = 82 that how many spaces are filled .
Answer:
(x-5)²+(y-2)²=52
Step-by-step explanation:
first find the midpoint (center of the circle)
(9+1)/2, (-4+8)/2
(5, 2) = center
then distance formula to find diameter
√(9-1)²+(-4-8)²=√64+144 = √208 = 2√52
The radius is half the diameter = √52
Formula for circle is (x-h)²+(y-k)²=r², where (h, k) is the center
Now you can plug everything in.
(x-5)²+(y-2)²=52
Answer:
1.74% probability that the commute takes more than 32 minutes.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

a.What is the probability that the commute takes more than 32 minutes?
This is 1 subtracted by the pvalue of Z when X = 32. So:



has a pvalue of 0.9826.
So there is a 1-0.9826 = 0.0174 = 1.74% probability that the commute takes more than 32 minutes.