Mathematics, 23.08.2019 00:20 rpmgamer

Alex’s bike ride to work usually takes 22 minutes. one morning he found a new bike route that was 5 minutes faster. if he decides to use this new route again and wants to reach home by an additional 2 minutes earlier, how fast should he cycle?

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Answer from: fmw812

Alex has to cycle $\dfrac{17}{15}$ times faster.

Step-by-step explanation:

Let x meters per minute be Alex's initial rate. If Alex’s bike ride to work usually takes 22 minutes, then the distance from home to work is 22x meters.

One morning he found a new bike route that was 5 minutes faster, then he spends 22-5=17 minutes on the way home cycling at the rate x meters per minute. Then the length of the new route is 17x meters.

If he decides to use this new route again and wants to reach home by an additional 2 minutes earlier, then he will spend 17-2=15 minutes to cover 17x meters. So, the new rate will be

$\dfrac{17x}{15}\ \text{meters per minute}$

Now,

$\dfrac{\frac{17x}{15}}{x}=\dfrac{17}{15}$

so, Alex has to cycle $\dfrac{17}{15}$ times faster.

Answer from: Quest

step-by-step explanation:

i found the life tables for the year 2012.

life table of males at age 30. probability of dying between ages x and x+1

total population:

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old.

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

Answer from: Quest

step-by-step explanation:

im pretty sure it's 4 beacsue 8/2 equals 4

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