Use the table to answer the problems that follow.
1 answer:
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Answer:
, 60.494%
Step-by-step explanation:
I am going to try to tackle this. I might miss a step as I am currently taking discrete mathematics.
We want to find all the possibilities with 1y, 2ys, 3ys, and 4ys, out of all total possibilities.
_ _ _ _ _ _ _ _ _
For the letters, in each spot, we have 3 choices. For the numbers, we have 10 choices in each spot
so
3*3*3*3 * 10*10*10*10*10
= 81*100000
= 8100000
The number of Y's will never affect the number of permutations of the numbers.
So:
For 1 y, we have
Y _ _ _ * 10*10*10*10*10
But we also have
_ Y _ _
_ _ Y _
and
_ _ _ Y
So we can multiply the number we get in one calculation by 4
4 *
Y _ _ _ * 10*10*10*10*10
2*2*2 * 10*10*10*10*10
= 800000 * 4 = 3200000
For 2 y's, we have
YY _ _
_ YY _
__ YY
3*
YY 2*2 * 10^5
4 * 100000
400000 * 3 = 1200000
For 3 y's, we have
YYY _
_ YYY
2 *
YYY 2 * 10^5
200000 * 2
= 400000
For 4 y's, we have
YYYY * 10^5
100000
Now we can add them all up and divide it by our original number 8100000
Depends on what 28 cm is. The radius? The diameter?
Assuming it's the radius, using the formula for the volume of a sphere (
), we get about 91,952 cubic centimeters, which is closest to 92,000.
Assuming it's the radius, using the formula for the volume of a sphere (