Answer:
Jim's hose: 27 hours.
Bob's hose: 21.6 hours.
Step-by-step explanation:
Let t represent hours taken by Jim's hose.
Part of pool filled by Jim's hose in 1 hour would be
.
We have been given that Bob's hose, used alone, takes 20% less time than Jim's hose alone. This means that Bob's hose take will take 80% time of Jim's hose that is
.
Part of pool filled by Bob's hose in 1 hour would be
.
We are also told that it takes 12 hours using both hoses. Part of pool filled by both hoses in 1 hour would be
.
Now, we will add rates of both hoses and equate with
as:




Cross multiply:




Therefore, it will take 27 hours for Jim's hose to fill the pool alone.
Time take by Jim's hose alone:
.
Therefore, it will take 21.6 hours for Bob's hose to fill the pool alone.
Answer:
C. 50
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

The higher the margin of error, the wider an interval is.
As the sample size increases, the margin of error decreases. If we want a widest possible interval, we should select the smallest possible confidence interval.
So the correct answer is:
C. 50
Answer:
danasha is right because
Step-by-step explanation:
Scalene. A scalene triangle has three different angles and none of its sides are equal in length
I think that the increase would be $7,452, and the new model would cost $61,452. I may be incorrect though.