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olya-2409 [2.1K]
2 years ago
11

A university president proposed that all students must take a course in ethics as a requirement for graduation. Three hundred fa

culty members and students were asked about their opinion on this issue. Find the probability that if one person is selected at random, from these 300 persons, this person is a faculty member or is in favor of this proposal.
Mathematics
1 answer:
mash [69]2 years ago
8 0

You did not add the attachment for this question to be answered. I have added it

Answer:

0.5333

Step-by-step explanation:

We have

P(faculty) to be the probability of faculty being selected

= 70/300

= 0.233333333

We also have

P(favor) to be the probability of being in favor of this proposal

= 135/300

= 0.45

In answer to this question,

The required probability

= P(faculty) + p(favor) - p(faculty n favor)

p(faculty n favor) = 45/300

= 0.15

Probability = 0.233333333 + 0.45- 0.15

= 0.5333 approximately

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Point M is the midpoint of segment QR. If QM = 16 + x and MR = 2(x + 2), find the length of QR. QR = 12 QR = -12 QR = 28 QR = 56
vfiekz [6]
The midpoint divided a segment into two congruent lengths/segments.

So, QM = MR.

Set up the equation.

16 + x = 2(x+ 2)

16 + x = 2x + 4

12 + x = 2x

12 = x


Now, that you have the value of x, substitute it for the two equations.

QM = 16 + x

QM = 16 + 12

QM = 28


MR = 2(12+ 2)

MR = 2(14)

MR = 28


Find the whole length by of the line by adding the two segments. 28 × 2 = 56.

QR = 56
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