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3 years ago

Please help me with this question

Mathematics

1 answer:

mamaluj [8]3 years ago

7 0

For you need the surface area of the bottom part.
all four side are 10*2 in = 20
20*4 = 80
the top and bottom are both 10*10 = 100
100*2 = 200
total = 280 in

The surface area of the top part:
top and bottom both 5*5 = 25
25*2 = 50
all four sides are 5*8 = 40
40*4 = 160
total = 210 in

Because the top and bottom part stand on each other, you count the bottom of the top part double.
Surface area bottom part = 280
Surface area top part = 210
210+280= 490
So it probably would be 490 in.

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At a local restaurant there are six rooms total; 1 is a "high roller" room and other 5 are normal rooms.

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The room assignments are made by fair random selection such that each waitress has an equal probability of being in the "high roller" room.

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So, the distribution of tips earned is as follows:

X: $200 $75 $75 $75 $75 $75

P (X): $\frac{1}{6}$ $\frac{1}{6}$ $\frac{1}{6}$ $\frac{1}{6}$ $\frac{1}{6}$ $\frac{1}{6}$

The expected value of a random variable is given by:

$E(X)=\sum x\cdot P (X)$

Compute the expected amount earned by a waitress per evening as follows:

$E(X)=\sum x\cdot P (X)$

$=(200\times \frac{1}{6})+(75\times \frac{5}{6})\\\\=\frac{575}{6}\\\\=95.8333\\\\\approx 95.83$

Thus, the expected amount earned by a waitress per evening is $95.83.

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