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
The recursive formula is 
= 14; 
= 
+ 3
The explicit formula is 
Step-by-step explanation:
The recursive formula of the nth term of the arithmetic sequence is
= first term; = + d, where
- is the first term in the sequence
- is the nth term in the sequence
- is the term before the nth term
- n is the term number
- d is the common difference.
The explicit formula of the nth term of the arithmetic sequence is
, where
- is the nth term in the sequence
- a is the first term
- n is the term number
- d is the common difference
∵ The arithmetic sequence is 14, 17, 20, 23, 26
∴ The first term is 14
∵ 17 - 14 = 3
∴ The common difference is 3
∵ The recursive formula is = first term; = + d
∵ = 14
∵ d = 3
∴ = 14; = + 3
The recursive formula is = 14; = + 3
∵ The explicit formula is
∵ a = 14
∵ d = 3
∴ 
- Simplify the right hand side
∴ 
- Add like terms
∴
The explicit formula is
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
#LearnwithBrainly
Answer:
192
Step-by-step explanation:
Well, well, it takes four 1/4's to equal 1. So, they can make 4 burgers with 1 pound of meat. So, simply multiply 48 times 4 to get your answer.
9200/100=92
There are 92 hundreds in 9200.
