Considering that the sine is negative and that the cosine is positive, the angle is on the fourth quadrant, hence option C is correct.
<h3>What are the signs of the sine and of the cosine in each quadrant?</h3>
- Quadrant 1: Both positive.
- Quadrant 2: Sine positive, cosine negative.
- Quadrant 3: Both negative.
- Quadrant 4: Sine negative, cosine positive.
Hence, since the sine is negative and that the cosine is positive, the angle is on the fourth quadrant, hence option C is correct.
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The value of the probability is 0.54
<h3>How to determine the probability?</h3>
The given parameters are:
P(A) = 0.35
P(B) = 0.54
From the question, we understand that the events are independent.
This means that
P(B|A) = P(B)
Substitute P(B) = 0.54
P(B|A) = 0.54
Hence, the value of the probability is 0.54
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Answer:
Option b, c and e are wonderful approaches to solve the problem.
Step-by-step explanation:
Option (b) is appropriate this is because the option is talking about Simple random sampling where random universities are chosen to remove bias.
Option (c) is correct because this is an example of Stratified sampling where two homogenous groups (private and public universities are considered) and samples are chosen at random to remove bias
Option (e) is correct because this again is an example of Simple random sampling where 60 random STEM majors are chosen at random.
The 2 because we don't know if it is exactly two or if was was rounded up/ down to 2.