Answer:
The perimeter of a parallelogram is 42 cm.
Step-by-step explanation:
The area of a parallelogram is 72 cm².
The formula for area of a parallelogram is
It is given that the distances between the point of intersection of the diagonals and the sides are 3 cm and 4 cm.
The distance between point of intersection of the diagonals and the opposite sides are same.
The measure of a side is 12 cm.
The measure of another side is 9 cm.
The perimeter of a parallelogram is
Therefore the perimeter of a parallelogram is 42 cm.
Answer:
+ something 32
Step-by-step explanation:
B=to total bottles of water filled
Function for Rachel would be
13R=B
Function of Alyssa would be
15A+5=B
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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
The common factors of 32 and 48 are 16, 8, 4, 2, 1,
