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EastWind [94]
3 years ago
11

If θ is an angle in standard position and its terminal side passes through the point (1/2,√3/2) on a unit circle, a possible val

ue of θ is
A)120
B)60
C)30
D)150
Mathematics
1 answer:
-Dominant- [34]3 years ago
4 0

Answer: B) 60

Step-by-step explanation:

Look on the <u>unit circle</u>

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T multiply 3 over 4 for t =8 over 9
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3 years ago
At a college, 72% of courses have final exams and 46% of courses require research papers. Suppose that 32% of courses have a res
Ghella [55]

Answer:

a) P(F UR) = P(F) +P(R) -P(F and R) = 0.72+0.46-0.32=0.86

b) P(FUR)' = 1-P(FUR)= 1-0.86 = 0.14

Step-by-step explanation:

Let's define the following events first:

F: The event that a course has a final exam.

R: The event that a course requires a research paper

From the info provided we have that:

P(F) = 0.72, P(R) =0.46 P(F and R) =0.32

So then we can create a Venn diagram as we can see on the figure attached.

a. Find the probability that a course has a final exam or a research project.

For this case we can find the probability like this:

P(F UR) = P(F) +P(R) -P(F and R) = 0.72+0.46-0.32=0.86

b. Find the probability that a course has NEITHER of these two requirements.

For this case we can use the complement rule and we can find the probability like this:

P(FUR)' = 1-P(FUR)= 1-0.86 = 0.14

And that's the same value obtained with the diagram.

8 0
3 years ago
What is the solution for x in the equation?​
Sveta_85 [38]

Answer:

3

Step-by-step explanation:

combine like terms (so 1/2 and 3/2): 2 - x = x - 4

add x to both sides: 2 = 2x - 4

add 4 to both sides: 6 = 2x

divide both sides by 2: 3 = x

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3 years ago
Please explain, True or False: The variables in the equation 4x-(5y)2=64x-(5y)2=6 are 4, 5, and 6
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The answer is true.....
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3 years ago
Read 2 more answers
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