Answer:
C. 400
Step-by-step explanation:

Given:
The function is

To find:
The range value if the domain value is 1.75.
Solution:
Domain is the set of input values and range is the set of output values.
Here, range value if the domain value is 1.75. It means the value of function f(x) at x=1.75.
Substitute x=1.75 in the given function.



Therefore, the required range value is 4.5.
The formula for the volume of a cylinder is

We know the diameter, so we can easily find the radius. The diameter is twice as long as the radius, so we divide the diameter by 2 to find the radius. This is equal to 6/2 = 3. Now, we plug our numbers into the formula.

This could also be written:

Both 27 pi cubic meters and 84.82 cubic meters are correct answers, so choose whichever one you think your teacher would prefer.
Answer:
0.32493
Step-by-step explanation:
We have been given that John's commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutes and a standard deviation of 5.1 minutes.
We are asked to find the probability that the commute time for a randomly selected day will be between 28 and 34 minutes.
First of all, we will find z-score corresponding to 28 minutes and 34 minutes. Then, we will find area under normal curve between both z-scores.



Now, we need to find the probability between z-score of 1.43 and 0.25.
.
Using formula
, we will get:



Therefore, the probability, that the commute time for a randomly selected day will be between 28 and 34 minutes, is 0.32493.
Answer:
55
Step-by-step explanation:
Lucas went to the bank the first time with $55 and the second time with $55, when you add those togeother you get $110. Then he wrote a check for $116 and ended up having -$6...basically if you have $110 in all then you write a check for $116 you would have -$6 in your balance. 110-116 = -6