2 students at Central Middle School were polled about their activities. The poll showed that 48% of students play a musical Instrument, and 39% of students play a musical Instrument and are on a sports team. What is the probability that a student is on a sports team given that the student plays a musical Instrument?

81.25%  probability that a student is on a sports team given that the student plays a musical Instrument

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Playing a musical instrument.

Event B: Being on a sports team.

48% of students play a musical Instrument

This means that

39% of students play a musical Instrument and are on a sports team.

This means that

What is the probability that a student is on a sports team given that the student plays a musical Instrument?

81.25%  probability that a student is on a sports team given that the student plays a musical Instrument

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.