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1.

An urn contains different colored marbles. The probability of drawing two green marbles from the urn without replacement is 320 , and the probability of drawing one green marble is 25 .

What is the probability of drawing a second green marble, given that the first marble is green?

1/5

3/8

3/50

1/2

2.

Let cos(−θ)=4/5

and tanθ>0 .

What is the value of sin(−θ)

?

4/3

4/5

−3/5

−4/5

3.

Let tan(x)=2/5

.

What is the value of tan(π+x)

?

5/2

−2/5

2/5

−5/2

Jun 5, 2018
edited by Guest  Jun 5, 2018

#1
+1

2.cos(-θ)=cos(θ) and sin(-θ)=-(sin(θ))so cos(θ)=4/5 this is a 3-4-5 right triangle so sin(θ)=-(sin(-θ))=3/5. So sin(-θ)=-3/5

3. π=180 and tan(x)=tan(180+x). Thus, the answer is 2/5.

Jun 5, 2018
#3
0

I didn't quite get the question because it says the probability of drawing 2 green marbles is 320 and same with one green marble, it says the probability is 25.

Alecdanub  Jun 6, 2018
#4
0

If it is 3/20 and 2/5, then it is $$\frac{\frac{3}{20}}{\frac{2}{5}}=\frac{3}{8}$$

.
Jun 6, 2018