If one is to choose among given choices and the order is not important, we use the concept of combination. First, we calculate for the sample space or number available since there is a total number of 12 electives and a student may choose 2 out of them.
S = 12C2
That is "the sample space is equal to combination of 12 taken 2". The answer to this is equal to 66.
Next, we determine the number of outcomes. The equation will be,
O = (5C1) x (3C1)
That is "outcome is equal to combination of 5 taken 1 times combination of 3 taken 1". This is equal to 15. The probability is equal to,
P = O/S
Substituting,
P = (15/66) = 0.227270
The answer to this item is the third choice.
Answer:
Mary is filling 36 cups per minute, which is faster than Jorge.
Step-by-step explanation:
Lets get Jorge's time :
As the rate is constant, we can find the slope to know the number of cups he is filling per minute.
Slope is found using: 
= 
= 
From the table lets get Mary's time:

= 
Another data: 
= 
Therefore, we can see that Mary is filling 36 cups in a minute and Jorge is filling 14 cups.
Hence, the correct answer is : Mary is filling 36 cups per minute, which is faster than Jorge.
Answer:
The answer is No, he's incorrect
Step-by-step explanation:
Because -5.0 is still -5 so therefore it makes -5.0 an integer
Answer:
Option A and Option B are not equivalent to the given expression.
Step-by-step explanation:
We are given the following expression:

Applying properties of exponents and base:

A. Using the exponential property
, we can write:

which is not equal to the given expression.
B. Using the exponential property
, we can write:

which is not equal to the given expression.
C. First we convert the radical form into exponent form. Then by using the property
of exponent, we can write the following:

which is equal to the given expression.
D. First we convert the radical form into exponent form. Then by using the property
of exponent, we can write the following:

which is equal to the given expression.
Option D and Option C are equivalent to the given expression.
Answer:
4 years
Step-by-step explanation:
FYI this sounds like a personal problem