Who is faster?

1 answer:

6 0

Kendra is going faster. You could convert Kendra's measurement to feet per second by doing to following:

0.25 mi/1 min x 5280 ft/1 mi x 1 min/60 sec

Which equals:

(0.25)(5280)ft/60 sec

Simplify, and Kendra's speed is 22 feet per second.

mi= mile(s)
min= minute(s)
ft= feet
sec= second(s)

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Vinil7 [7]

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Eddi Din [679]

I got D.

There's a few ways to solve it; I prefer using tables, but there are functions on a TI-84 that'll do it for you too. The logic here is, you have a standard normal distribution which means right away, the mean is 0 and the standard deviation is 1. This means you can use a Z table that helps you calculate the area beneath a normal curve for a range of values. Here, your two Z scores are -1.21 and .84. You might notice that this table doesn't account for negative values, but the cool thing about a normal distribution is that we can assume symmetry, so you can just look for 1.21 and call it good. The actual calculation here is:

1 - Z-score of 1.21 - Z-score .84 ... use the table or calculator

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Because this table calculates areas to the RIGHT of the mean, you have to play around with it a little to get the bit in the middle that your graph asks for. You subtract from 1 to make sure you're getting the area in the middle and not the area of the tails in this problem.