What is the length of the rectangular prism if it has a width of 13 meters, a height of 17 meters, and a volume of 2,873 cubic m
eters?
2 answers:
Answer:
The length of the rectangular prism is 13 m .
Step-by-step explanation:
Formula
Volume of a rectangular prism = Length × Breadth × Height
As given
Rectangular prism if it has a width of 13 meters, a height of 17 meters, and a volume of 2873 cubic meters .
Put all the values in the formula
2873 = Length × 13 × 17
2873 = Length × 221
Length = 13 m
Therefore the length of the rectangular prism is 13 m .
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When the occurrence of one event say A does not affect the occurrence of another event say B, than the two events are said to be independent such that;
where, P(A) = probability of occurrence of event A
and P(B) = probability of occurrence of event B
(a).
Now, let event A = Sarah scores more than 175
and event B = Thomas scores more than 175
Thus, P(A)= Probability that Sarah scores more than 175 = 0.4
and P(B)= Probability that Thomas scores more than 175 = 0.2
Since, the scores are independent, thus the probability that both Sarah and Thomas scores more than 175 is,
Hence, the required probability is 0.08
(b).
When the occurrence of one event say A affects the occurrence of another event say B, than the two events are said to be dependent such that;
Now, let event A = Sarah scores more than 175
and event B = Thomas scores more than 175
Thus, P(A)= Probability that Sarah scores more than 175 = 0.4
P(B)= Probability that Thomas scores more than 175 = 0.2
and P(B|A) = Sarah scores more than Thomas given that Thomas scores more than 175 = 0.3
Thus, the required probability is calculated as follows;