<u>Answer:</u>
32 students
<u>Step-by-step explanation:</u>
We are given that at the beginning of a class period, half of the students in a class go to the library and half of the remaining to the computer lab.
Given that there are 8 students remaining, we are to find the total number of students in the class initially.
At beginning =
students
After half of them leave =
students
After half of the remaining leave =
students
So, 

x = 32
Therefore, there were 32 students in the class originally.
Answer:
Only option (A) is incorrect.
So , true statements are (B), (C) &(D).
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By definition of conditional probability,

The inclusion-exclusion principle tells us

Then

Answer:
180
Step-by-step explanation:
C + D = 180 degrees since they are a linear pair
D = 127 degrees, so
C + 127 = 180
to get the C, you need to subtract 180 degrees bt 127 degrees
180 - 127 = C
Answer:
-5 and 3
Step-by-step explanation:
The roots of a quadratic function are also called the x intercepts.
The x intercepts are found by looking where where the quadratic equation crosses the x, or horizontal axis.
In this case, the quadratic equation crosses the x axis at (-5,0) and (3,0).
Therefore, our roots are -5 and 3