Three students work independently on a homework problem.
1 answer:
Answer:
a. 0.646
b. 0.0285
c. 0.0015
Step-by-step explanation:
Please refer to the tree diagram attached at the bottom of this answer.
a. Probability P of the three of them solving the problem:
P = P(A) · P(B) · P(C) = 0.95 · 0.85 · 0.80 = 0.646
b. Only the first one:
P = P(A) · (1-P(B)) · (1- P(C)) = 0.95 · 0.15 · 0.20 = 0.0285
c. None of them:
P = (1-P(A)) · (1-P(B)) · (1- P(C)) = 0.05 · 0.15 · 0.20 = 0.0015
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The distance between -2 1/2 - (-3)
-2 1/2 + 3
1/2
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Answer
1/2
Answer:
15 years old.
Step-by-step explanation:
Let Jim's age now be one unit (1u).
His uncle's age now is then 4 units.
Jim's age in 10 years = 1u + 10
Jim's uncle's age in 10 years = 4u + 10
In 10 years, Jim's uncle's age will be 20 years more than twice Jim's age.
Twice Jim's age =
Since Jim's uncle's age is 20 years more than this, we can say that his uncle's age is equal to
which is equal to
We found out that Jim's uncle's age in 10 years is 4u+10. Hence
We subtract 10 from both sides:
Therefore
and one unit is 15. Hence, Jim's age now is 15.