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4 years ago

How to convert 264 yds/1 s to mi/day?

Mathematics

1 answer:

dusya [7]4 years ago

7 0

Answer:

$12,960\ \frac{miles}{day}$

Step-by-step explanation:

we know that

$1\ mile=1,760\ yards$

To convert yards to miles multiply by 1/1,760

$1\ hour=3,600\ seconds$

$1\ day=24\ hours$

$(24)3,600=86,400$

$1\ day=86,400\ seconds$

To convert seconds to day multiply by 1/86,400

In this problem we have

$264\ \frac{yd}{sec} =264\ \frac{(1/1,760)}{(1/86,400)}=264\ (\frac{86,400}{1,760})=12,960\ \frac{miles}{day}$

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Complete Question

Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. He converts his speed into miles per hour, as shown below.

Which ratio is incorrectly written?

40 yd/4.5 sec • 3 ft/1 yd • 5280ft/1 mile • 60 sec/1 min • 60 min/1 hr

Answer:

5280ft/1 mile is the incorrect ratio

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Step-by-step explanation:

We are to convert 40 yards per 45 seconds to Mile per hour.

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40 yd/4.5 sec • 3 ft/1 yd • 5280ft/1 mile • 60 sec/1 min • 60 min/1 hr

The incorrect ratio is 5280ft/1 mile .

It should have been written as 1 mile/5280 ft.

Hence,

40 yd/4.5 sec • 3 ft/1 yd • 1 mile/5280ft• 60 sec/1 min • 60 min/1 hr

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<h3>Missing information</h3>

I. P(3 and tail)

II. P(even and head)

III .P(odd and head)

<h3>How to determine the equivalent probabilities?</h3>

We start by calculating each probability

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So:

P(3) = 1/5

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So:

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