Answer:
8
Step-by-step explanation:
4x2=8
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
C=10 & P=5
3C+4P=50
C+P=15
Solve
3C+4P=50
3C+3P=45
Subtract
P=5
Substitute in equation 2
C+P=15
C+5=15
C=10
Answer:
x = 8 ; x = -3
Step-by-step explanation:
Sum = -5
Product = - 24
Factors = 3 , (-8)
x² - 5x - 24 = 0
x² - 8x + 3x - 3 * 8 = 0
x(x - 8) + 3(x - 8)= 0
(x - 8)(x + 3) = 0
x - 8 = 0 ; x + 3 = 0
x = 8 ; x = -3
The ratio of 50% content to 25% content is
.. (40-25) : (50-40) = 15:10 = 3:2
There is a total of 5 "ratio units" in this ratio, so each is representing 35 kg/5 = 7 kg of alloy.
21 kg of 50% alloy and 14 kg of 25% alloy should be used.