A hyena can run 1/4 of a mile in 22.5 seconds. At this rate, which equation can be used to determine how fast a hyena runs in mi
2 answers:
If we know the distance someone or something ran and how long it took them to run, then we know their rate.
Because rate can be defined as
.
We want the answer to be in miles per hour, so convert 22.5 seconds into hours by dividing 22.5 by 3600.
22.5 / 3600 = 0.00625
And because we have a decimal and a fraction, it is best to convert the fraction into a decimal so all units are the same.
1 / 4 = 0.25
Plug in the values.
0.25 / <span>0.00625 </span>= 40
So, the hyena would be running at 40 mph.
Because rate can be defined as
We want the answer to be in miles per hour, so convert 22.5 seconds into hours by dividing 22.5 by 3600.
22.5 / 3600 = 0.00625
And because we have a decimal and a fraction, it is best to convert the fraction into a decimal so all units are the same.
1 / 4 = 0.25
Plug in the values.
0.25 / <span>0.00625 </span>= 40
So, the hyena would be running at 40 mph.
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Answer:
First choice:
Explanation:
<em>The probability that the first is a man's card and the second, a woman's card</em> is calculated as the product of both probabilities, taking into account the fact that the second time the number of cards in the hat has changed.
In spite of it is said that the cards are drawn at once, since it is stated a specific order for the cards (first is a man's card and the second, a woman's card) you can model the procedure as if the cards were drawn consecutively, instead of at once.
<u>1. Probability that the first is a man's card</u>
- Number of cards in the hat = 20 (the 20 business card)
- Number of man's card in the hat: 10
- Probability = favorable oucomes / possible outcomes = 10/20 = 1/2.
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<u>2. Probability that the second is a woman's card</u>
- Number of cards in the hat = 19 (there is one less card in the hat)
- Number of wonan's card in the hat: 10
- Probability = favorable oucomes / possible outcomes = 10/19.
<u>3. Probability that the first is a man's card and the second, a woman's card</u>
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- (1/2) × (10/19) = 5/19
That is the first choice.