Answer:
Step-by-step explanation:
From the given information,
Suppose
X represents the Desktop computer
Y represents the DVD Player
Z represents the Two Cars
Given that:
n(X)=275
n(Y)=455
n(Z)=405
n(XUY)=145
n(YUZ)=195
n(XUZ)=110
n((XUYUZ))=265
n(X ∩ Y ∩ Z) = 1000-265
n(X ∩ Y ∩ Z) = 735
n(X ∪ Y) = n(X)+n(Y)−n(X ∩ Y)
145 = 275+455 - n(X ∩ Y)
n(X ∩ Y) = 585
n(Y ∪ Z) = n(Y) + n(Z) − n(Y ∩ Z)
195 = 455+405-n(Y ∩ Z)
n(Y ∩ Z) = 665
n(X ∪ Z) = n(X) + n(Z) − n(X ∩ Z)
110 = 275+405-n(X ∩ Z)
n(X ∩ Z) = 570
a. n(X ∪ Y ∪ Z) = n(X) + n(Y) + n(Z) − n(X ∩ Y) − n(Y ∩ Z) − n(X ∩ Z) + n(X ∩ Y ∩ Z)
n(X ∪ Y ∪ Z) = 275+455+405-585-665-570+735
n(X ∪ Y ∪ Z) = 50
c. n(X ∪ Y ∪ C') = n(X ∪ Y)-n(X ∪ Y ∪ Z)
n(X ∪ Y ∪ C') = 145-50
n(X ∪ Y ∪ C') = 95
I believe the answer is the circumference
Answer:
<-3,4>
<0,-5>
Step-by-step explanation:
|-3w| = 15
3|-w| = 3|w| = 15
|w| = 
|w| = 5
- If vector w is represented by <1,-9>
Then |w| = 
.
Therefore this is not possible.
- If vector w is represented by <-3,4>
Then |w| = 
.
Therefore this is possible.
- If vector w is represented by <4,5>
Then |w| = 
.
Therefore this is not possible.
- If vector w is represented by <-5,-3>
Then |w| = 
.
Therefore this is not possible.
- If vector w is represented by <0,-5>
Then |w| = 
.
Therefore this is possible.
(NOTE : if z vector is represented by <x,y> then |z| = 
)
Answer:
The probability that if a person is chosen at random has run to red light in the last year is 60%.
Step-by-step explanation:
Since a group of people were asked if they had run a red light in the last year, and 456 responded "yes", and 304 responded "no", to find the probability that if a person is chosen at random, they have run a red light in the last year, the following calculation must be performed:
456 + 304 = 760
760 = 100
456 = X
456 x 100/760 = X
45600/760 = X
60 = X
Therefore, the probability that if a person is chosen at random has run to red light in the last year is 60%.
Answer: 47
Step-by-step explanation:
