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:
The answer to your question is the letter A.20%
Step-by-step explanation:
Data
Questions correct in the first attempt = 25
Questions correct in the second attempt = 30
Percent of increase = ?
Process
1.- Use proportions and cross multiplication to solve this problem. 25 questions is 100%.
25 questions -------------------- 100%
30 questions -------------------- x
x = (30 x 100)/25
x = 3000/25
x = 120 %
2.- Subtract 100 from 120%
Percent increase = 120 - 100
= 20%
Your answer is v = -2.
To solve this equation, we need to rearrange to get v by itself and then solve:
4 + 3v = -2v - 6
+ 2v
4 + 5v = -6
- 4
5v = -10
÷ 5
v = -2
I hope this helps!
So we know that 3,4 and 5 are pythagorean triplet and these result from a right triangle sides length
- than 3,4 and 5 mean right triangle so 2,5 and 4 mean acute triangle sure or you can prove it in this way too
- than 3^2 +4^2 =5^2 => a right triangle so than
2^2 +4^2 < 5^2 => an acute triangle
hope helped