61497

20.05.2021 • 

Mathematics

A special delivery truck travels from point A to point B and back over the same route each day. There are three traffic lights on this route. Let X be the number of red lights the truck encounters on the way to delivery point B and let Y be the number of red lights the truck encounters on the way back to the delivery point A. A traffic engineer has determined the joint probability distribution of X and Y shown in the table: X = x
Y = y 0 1 2 3
0 0.01 0.02 0.07 0.01
1 0.03 0.06 0.1 0.06
2 0.05 0.12 0.15 0.08
3 0.02 0.09 0.08 0.05
a. Find the marginal probability distribution of Y.
b. Given that the truck encounters X = 2 red lights on the way to delivery point B, find the probability distribution of Y.

Ответ:

raishagibson

21.01.2021

Mathematics

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The largest  number of pyramids she can make from 20 bars of chocolate is:

A. 180

Step-by-step explanation:

Firstly, you must find the volume of the 20 bars of chocolate, remember that each bar contains 6 cubic inches of chocolate (6 in^3), so:

Volume of the bars = 6 in^3 * 20Volume of the bars = 120 in^3

Now, you must find the volume of each pyramid, using the next formula:

Volume of a pyramid = 1/3 B * h

Where:

B = area of the square base.

h = height of the pyramid.

How these values are given in the problem, we only replace the values in the formula:

Area of a pyramid = 1/3 (1 in^2) * 2 inArea of a pyramid = 2/3 in^3

Finally, we divide the volume of the bars in the volume of each pyramid:

Total number of pyramids = 120 in^3 / 2/3 in^3Total number of pyramids = 180

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