Answer:
probability the student plays both instruments is [
]
<h2>
<u>
Explanation</u>
:</h2>
students who play both instruments = total students - flute players - piano players - students who play neither instruments
students who play both instruments
→ 31 - 4 - 14 - 7
→ 6 students play both instruments.
probability:
<h2>→

</h2><h2>→

</h2>
Answer : 
Explanation:
Since we have given that
n(U) = 120, where U denotes universal set ,
n(F) = 45, where F denotes who speak French,
n(S) = 42 , where S denotes who speak Spanish,
n(F∪S)' = 50
n(F∪S) = n(U)-n(F∪S) = 120-50 = 70
Now, we know the formula, i.e.
n(F∪s) = n(F)+n(S)-n(F∩S)
⇒ 70 = 45+42-n(F∩S)
⇒ 70 = 87- n(F∩S)
⇒ 70-87 = -n(F∩S)
⇒ -17 = -n( F∩S)
⇒ 17 = n(F∩S)

Answer:
Solving a Direct Variation Problem
Write the variation equation: y = kx or k = y/x.
Substitute in for the given values and find the value of k.
Rewrite the variation equation: y = kx with the known value of k.
Substitute the remaining values and find the unknown.
Step-by-step explanation:
The type of the line is horizontal.