Answer: Choice B
Events are not mutually exclusive
The probability of applicant meeting GPA requirement or they volunteer is 65%
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Explanation:
For two events to be "mutually exclusive", it means that they cannot happen at the same time. An example is pulling a black diamond card. In a deck of cards, diamonds are red.
So the question is: "Is it possible to volunteer and meet the GPA requirements at the same time?"
The answer is "Yes, because 250 applicants have done so"
This means that the two events "volunteer" and "meet GPA requirements" are not mutually exclusive. This boils things down between choice A or choice B
Now onto calculating the probability
Let,
A = applicant volunteers
B = applicant meets GPA requirements
P(A) = 600/2000 = 0.300
P(B) = 950/2000 = 0.475
P(A and B) = 250/2000 = 0.125
Using those values, we can say....
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.300 + 0.475 - 0.125
P(A or B) = 0.65
P(A or B) = 65% which is part of the answer
We got 65% so that points to choice B as the final answer
Note: another way to find P(A or B) is to note how 250 meet both requirements so 950-250 = 700 meet the GPA hurdle only, 600-250 = 350 volunteer only, so 700+350+250 = 1300 either meet one requirement or both out of 2000. So 1300/2000 = 0.65 = 65%
Answer:
2
Step-by-step explanation:
absolutly sure
If 10% are part-time workers, then 90% are full time
0.90(40) = 36 full time <==
By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.
This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.
Then:
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are <em><u>same-side interior angles</u></em>. Because AB and DC are <em><u>parallel</u></em>, the same-side interior angles must be <em><u>supplementary</u></em> by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
Answer: x^4
Step-by-step explanation:
1. Rewrite the expression in fraction form:
(3√x²)^6 = x^(2/3)^6
2 is the exponent, so when written in fraction form, it is the numerator. 3 is the index or root, so in fraction form it is the denominator.
2. Solve:
x^(2/3)^6 = x^(12/3) = x^4
Because the exponent 2/3 is raised to the power of 6, you can use the power rule, which basically just means that whenever an exponent is raised to an exponent, multiply them. So, 2/3 * 6 equals 12/3, and 12/3 equals 4, making your answer x^4.
