Answer:
10.6666666667 as a fraction equals 106666666667/10000000000
Answer:
D ) y = 3x + 2
Step-by-step explanation:
y = mx + b
The slope is Rise 1, Run 3
And you start at 2
The chart shows a point at 2 going up 1 and running 3.
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Hope this helps!!!
</em></u></h3><h3><u><em>
Please mark this as brainliest!!!
</em></u></h3><h3><u><em>
Thank You!!!
</em></u></h3><h3><u><em>
:)</em></u></h3>
Answer:
she slept 27 minutes
Step-by-step explanation:
since the clock shows 3:30
you have to subtract 3:30 with 3:03
you get 27 minutes
- Probability of drawing a red card = 26/52 = 1/2
- Probability of drawing a spade = 13/52 = 1/4
- Probability of drawing a non-ace club = 12/52 = 3/13
- Probability of drawing the ace of clubs = 1/52
Then the PMF for your winnings
is

You can expect to win
![E[X]=\displaystyle\sum_xxP(X=x)=\frac02+\frac54+\frac{10\cdot3}{13}+\frac{30}{52}=\frac{215}{52}](https://tex.z-dn.net/?f=E%5BX%5D%3D%5Cdisplaystyle%5Csum_xxP%28X%3Dx%29%3D%5Cfrac02%2B%5Cfrac54%2B%5Cfrac%7B10%5Ccdot3%7D%7B13%7D%2B%5Cfrac%7B30%7D%7B52%7D%3D%5Cfrac%7B215%7D%7B52%7D)
or about $4.13 per game.
Recall that variance is
![\mathrm{Var}[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2](https://tex.z-dn.net/?f=%5Cmathrm%7BVar%7D%5BX%5D%3DE%5B%28X-E%5BX%5D%29%5E2%5D%3DE%5BX%5E2%5D-E%5BX%5D%5E2)
where
![E[X^2]=\displaystyle\sum_xx^2P(X=x)=\frac{0^2}2+\frac{5^2}4+\frac{10^2\cdot3}{13}+\frac{30^2}{52}=\frac{2425}{52}](https://tex.z-dn.net/?f=E%5BX%5E2%5D%3D%5Cdisplaystyle%5Csum_xx%5E2P%28X%3Dx%29%3D%5Cfrac%7B0%5E2%7D2%2B%5Cfrac%7B5%5E2%7D4%2B%5Cfrac%7B10%5E2%5Ccdot3%7D%7B13%7D%2B%5Cfrac%7B30%5E2%7D%7B52%7D%3D%5Cfrac%7B2425%7D%7B52%7D)
so that the variance of your winnings is
![\mathrm{Var}[X]=\dfrac{2425}{52}-\left(\dfrac{215}{52}\right)^2=\dfrac{79875}{2704}](https://tex.z-dn.net/?f=%5Cmathrm%7BVar%7D%5BX%5D%3D%5Cdfrac%7B2425%7D%7B52%7D-%5Cleft%28%5Cdfrac%7B215%7D%7B52%7D%5Cright%29%5E2%3D%5Cdfrac%7B79875%7D%7B2704%7D)
or about 29.54 "squared" dollars. Standard deviation is the square root of variance, so the standard deviation of
is approximately $5.44.