Answer:
1) is not possible
2) P(A∪B) = 0.7
3) 1- P(A∪B) =0.3
4) a) C=A∩B' and P(C)= 0.3
b) P(D)= 0.4
Step-by-step explanation:
1) since the intersection of 2 events cannot be bigger than the smaller event then is not possible that P(A∩B)=0.5 since P(B)=0.4 . Thus the maximum possible value of P(A∩B) is 0.4
2) denoting A= getting Visa card , B= getting MasterCard the probability of getting one of the types of cards is given by
P(A∪B)= P(A)+P(B) - P(A∩B) = 0.6+0.4-0.3 = 0.7
P(A∪B) = 0.7
3) the probability that a student has neither type of card is 1- P(A∪B) = 1-0.7 = 0.3
4) the event C that the selected student has a visa card but not a MasterCard is given by C=A∩B' , where B' is the complement of B. Then
P(C)= P(A∩B') = P(A) - P(A∩B) = 0.6 - 0.3 = 0.3
the probability for the event D=a student has exactly one of the cards is
P(D)= P(A∩B') + P(A'∩B) = P(A∪B) - P(A∩B) = 0.7 - 0.3 = 0.4
49/25 converted into decimal form is
1.96
Hope this helps!
Step-by-step explanation:
Let's get our relevant base equations listed out:
d = 2r
area = pi*r²
c = πd
Thus, d=2*5m = 10m, c=π*10m=10π m, and area = 25m²*π
Feel free to ask further questions!
Answer:
x=2
Step-by-step explanation:
x^3=8
x=2 (take the cubed root of both sides)
This can be solved by adding 8 to both sides, then taking the cubed root of both sides
Step-by-step explanation:
- V= L×W×H
- you only need to know one side to figure out the
- volume of a cube
- volume is in 3Dimensions
- Multiple the sides in any order
- which side you call length, width, or height doesn't matter
that's how you find the answer.
does that help?
