The value of k is -89
Explanation:
The given expression is
We need to determine the output k, when the input t is -7
<u>Output k:</u>
The value of the output k can be determined by substituting the input in the expression
Thus, we have,
Multiplying the terms 10 and -7, we have,
Simplifying, we get,
Thus, the value of k is -89
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)