Jillian surveyed students at her school and found out the following probabilities: \begin{aligned} &P(\text{freshman})=0.30 &P(\text{plays instrument})=0.20 &P(\text{freshman and instrument})=0.10 \end{aligned}


P(freshman)=0.30
P(plays instrument)=0.20
P(freshman and instrument)=0.10


Find the probability that a student plays an instrument given they are a freshman.

Step-by-step explanation:

Use conditional probability.

P(A given B) = P(A and B) / P(B)

P(instrument given freshman) = P(instrument and freshman) / P(freshman)

P(instrument given freshman) = 0.10 / 0.30

P(instrument given freshman) = 0.33

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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answear:

a

step-by-step explanation: a