Find the reference angle for −504°.

Mathematics

1 answer:

Darya [45]3 years ago

3 0

Answer:

Reference angle of −504° = 36°

Step-by-step explanation:

The given angle is −504°

Now, −504° = 216° ( By adding 2 complete angles)

Now, as we know that

360° completes one complete rotation in anti-clockwise direction and

-360° completes one complete rotation in clockwise direction.

Hence, 216° lies in the quadrant III.

So, now the reference angle of any angle x in a third quadrant = x - 180°

So, the reference angle of 216° = 216° - 180° = 36°

Hence, the reference angle of −504° = 36°

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Among the equation students taking a graduate statistics class, equation are master students and the other equation are doctoria

OleMash [197]

Answer:

a) P=0.2861

b) P=0.0954

c) P=0.3815

d) P=0.6185

Step-by-step explanation:

The question is incomplete:

Among the N=16 students taking a graduate statistics class, A=10 are master students and the other N-A=6 are doctorial students. A random sample of n=5 students is going to be selected to work on a class project. Use X to denote the number of master students in the sample. Keep at least 4 decimal digits if the result has more decimal digits.

a) The probability that exactly 4 master students are in the sample is closest to?

b) The probability that all 5 students in the sample are master students is closest to?

c) The probability that at least 4 students in the sample are master students is closest to?

d) The probability that at most 3 students in the sample are master students is closest to?

We use a binomial distribution with n=5, with p=10/16=0.625 (proportion of master students).

$P(k=4)=\binom{5}{4}p^4q^1=5*0.625^4*0.375=5*0.1526*0.3750\\\\P(k=4)=0.2861$