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kodGreya [7K]
3 years ago
13

Kim and jay leave at the same time to travel 25 miles to the beach. Kim drives 9 miles in 12 minutes. Jay drives 10 miles in 15

minutes. If they both continue at the same rate who will reach the beach first
Mathematics
1 answer:
Katen [24]3 years ago
3 0
23. Kim and Jay leave at the same time to travel 25 miles going to the beach. Kim drives 9 miles in 12 minutes Jay drives 10 miles in 15 minutes. Question: who will arrive first? Unit rate of Kim => 9 miles in 12 minutes => 0.75 miles / minutes => 25 / 0.75 It will take 33.33 minutes for Kim to arrive Unit rate of Jay 10 miles in 15 minutes. => 10 miles /15 minutes => 0.67 miles /minute => 25 / 0.67 It will take Jay 37.31 minutes to arrive at the beach. SO Kim will arrive first
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Axis of symmetry: x = -3
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F_Y(y)=P(Y\le y)=P(e^X\le y)=P(X\le\ln y)=F_X(\ln y)

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The nth moment of Y is

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Let u=\ln y, so that \mathrm du=\frac{\mathrm dy}y and y^n=e^{nu}:

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E[U^0]=\displaystyle\frac1{\sqrt{2\pi}}\int_{-\infty}^\infty e^{-\frac12(u-n)^2}\,\mathrm du=1

so we end up with

E[Y^n]=e^{\frac12n^2}

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