Angles are measures of turn. A complete turn is called a perigon angle or full angle which measures 360°. A half (1/2) turn is called a straight angle, because it looks like a straight line with a dot (the vertex) in the middle, its measure is 180°. The rays are the two halves of a line and they point in opposite directions.
We need to evaluate the value of fraction
.
We also given j=12.
In order to evaluate the value of fraction
, we need to plug j=12.
Plugging j=12, we get

We have 12 in numerator and 4 in denominator.
We always divide top number by bottom number.
So, we need to divide 12 by 4.
On dividing 12 by 4 we get 3.
<h3>Therefore,

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Answer:
D. H0: p ≤0.36 H1: p>0.36


D. Reject H0. There is sufficient evidence to support the hypothesis that the proportion of admissions officers who visit an applying students' social networking page has increased in the past year
Step-by-step explanation:
To solve this problem, we run a hypothesis test about the population proportion.

The appropriate hypothesis system for this situation is:


Since, the calculated statistic
is greater than critical
, the null hypothesis should be rejected. There is enough statistical evidence to state that the proportion of admissions officers who visit an applying students' social networking page has increased in the past year.
The outcomes on rolling a 5-sided die are : {1,2,3,4,5,6}
The factors of these outcomes are:
1 = 1 x 1
2 = 1 x 2
3 = 1 x 3
4 = 2 x 2
5 = 1 x 5
6 = 2 x 3
1 is not a prime number. So the numbers which have 2 prime factors are 4 and 6.
Thus, number of favorable outcomes = 2
The probability of rolling a number with exactly 2 prime factors = 2/6 = 1/3