Answer:
15
Step-by-step explanation:
Let n(T) denotes total surveys done i.e. n(T)=140
Let n(A) be the no. of responses to positively to effectiveness i.e. n(A)=71
Let n(B) be the no. of side effects i.e.n(B) =60
Let n(C) be the no. of responses to cost i.e. n(C)= 65
33 responded positively to both effectiveness and side effects
So, n(A∩B)=33
31 to effectiveness and cost
n(A∩C)=31
28 to side effects and cost
n(B∩C)=28
21 to none of the items
So, n(A∪B∪C)=140-21 = 119
we are supposed to find ow many responded positively to all three i.e. n(A∩B∩C)
Formula:
n(A∪B∪C)=n(A)+n(B)+n(C)-n(A∩B)-n(A∩C)-n(B∩C)+ n(A∪B∪C)
119=71+60+65-33-31-28+ n(A∪B∪C)
119=104+ n(A∪B∪C)
119-104= n(A∪B∪C)
15= n(A∪B∪C)
Hence 15 responded positively to all three
Answer:
24a²-73ab+24b²
Step-by-step explanation:
(8a - 3b) (3a - 8b) =
24a²-64ab-9ab+24b²
= 24a²-73ab+24b²
Answer:
7 x (x+3) =2
Step-by-step explanation:
hi, so in order to get the answer we need to find the key words, in this case ‘times’ and ‘sum’ is telling us multiplication and addition
so in the second part, its telling us to use x, the variable as the number that wasn’t identified which is filling the space for us.
and once we’ve figured all those little clues we have our answer
so we’re going to have 7 first, then multiplied by x+3 which equals 2
hope u got it!!.
