Answer:
A
Step-by-step explanation:
A random variable x is normally distributed with a mean of 100 and a variance of 25. Given that x = 110, its corresponding z- score is 0.40.
Answer: The given z-score is false.
Explanation: We are given:
Mean,
,
Variance, 



The z-score formula is given below:




Therefore, the z-score corresponding x=100 is 2
Therefore, the given z-score = 0.4 is false.
Answer:
a. 
b. 
Step-by-step explanation:
I attach the diagram of the new water tank.
a. In order to find the volume of the tank in cubic feet, we will need to calculate the volume of a cylinder. We know that its base measures
and its height is
.
The volume ''V'' of a cylinder is :

Where ''
'' is the diameter of the base and ''
'' is the height of the cylinder.
If we replace all the data in the equation :

We found out that the volume of the tank in cubic feet is 
b. We know that 1 cubic foot of water is equal to 7.5 gallons. To find the amount of gallons that the new tank can hold, we need to do an unit conversion.
This equivalence is given to us :
⇒ Using the equivalence ⇒

Finally, the new tank will hold
of water.
Answer:
Step-by-step explanation:
Law of Cosines
x = √(40²+12² - 2·40·12·cos(37°)) ≅ 31.3 units
Answer:

Odd function
Step-by-step explanation:
We are given that

We have to determine the value of
and find tangent function is odd,even or neither.


We know that


By using identities
Then, we get


Odd function: If 
Even function:If 

Therefore, function is an odd function.