A forest ranger wants to install a 1,500 CFM (cubic feet per minute) fan. A ranger station consists of a rectangular prism and a
2 answers:
Answer:
Yes, fan will provide enough airflow in the ranger station.
Step-by-step explanation:
A ranger station consist of a rectangular pyramid and a rectangular prism.
So volume of air in ranger station = volume of prism + volume of a pyramid
Volume of a rectangular prism = Length×Width×height
= 10×8×8 = 640 ft³
Volume of the pyramid =
=
= 80 ft³
Total volume of the ranger station = 640 + 80 = 720 ft³
Since CFM has the airflow capacity of 1500 cubic feet per minute so one CFM will be sufficient for the volume of 720 ft³.
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For each of the three events, there are 8 possible outcomes, so the probability of each event is,
• Event A:, there must be only odd numbers in the last two rolls, which are either ,EOO or OOO,. This event has 2 favorable outcomes, ,so its probability is 1/4,.
,• Event B,: this is the complementary event to event A. Here the last two rolls must be even numbers - both or only one of the last two: ,OOE, EEO, EOE, OEE, EEE, OEO,. This event has 6 favorable outcomes, so ,its probability is 3/4,.
,• Event C,: this event is when the first and last rolls are even numbers in the same event. This is either ,EOE or EEE,. Since this event has 2 favorable outcomes, ,its probability is 1/4,.
