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:
6 quarters and 6 dimes
Step-by-step explanation:
since there is 6 quarters it would be 6x$.25 which is $1.50, and each dime is worth 10 cents so 6x$.10 is $.60, and $1.50+$.60=$2.10
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.
Answer:
38
Step-by-step explanation:
Answer:
x = 5/2 y = 3/2
Step-by-step explanation:
You need to write what the question is besides the information in the problem. I assume the question is to find the values of x and y.
Going on that premise, Let equation (1) be -5x + 3y = -8 and
equation (2) be 3x - 7y = -3
Lets multiply (1) by 3 and (2) by 5 and we get equations (4) and (5)
(4) -15x + 9y = -24 and (5) 15x - 35y = -15 Now add (4) and (5)
-15x + 9y = -24
<u> 15x - 35y = -15</u>
-26y = - 39
y = 3/2 Now substitute y = 3/2 in equation (1). -5x + 3)(3/2) = -8
-5x + 9/2 = -8
-10x + 9 = -16
-10x = -25
x = -25/-10 = 5/2
x = 5/2 y = 3/2
Check: Substitute your answers into equation (2) and see if they work.
3(5/2) -7(3/2) = 15/2 - 21/2 = -6/2 = -3 Hooray! We have the correct values for x and y that makes each equation true
