Answer:
a. 0.5855
b. 0.6354
c. 0.0676
Step-by-step explanation:
Be the events:
E: The product is highly successful
ME: The product is moderately successful
P: The product is poorly successful
B: The product received good reviews
MB: The product received bad reviews
You have then:
and
a. invoking the total probability theorem, you have:
b. invoking the Baye's theorem, you have:
c. Using the result obtained in a. , then:
Answer:
a. 8
b. 2, 3, 4
Step-by-step explanation:
We have to:
Pedro's age = 14 years
Elisa's age = 3 years
The years to elapse = x
Pedro's age = 14 + x
Elisa's age = 3 + x
14 + x = 2 * (3 + x)
14 + x = 6 + 2 * x
14 - 6 = 2 * x - x
x = 8
Eight years must pass before Pedro's age is twice Elisa's
Now the second question:
Let x be the smallest number
Let x + 1 be the consecutive number
Let x + 2 be the consecutive number
x + (x + 1) + (x + 2) = 2 * (x + 2) +1
x + x +1 + x + 2 = 2 * x + 4 + 1
3 * x +3 = 2 * x + 5
3 * x -2 * x = 5 - 3
x = 2
So:
x = 2
x + 1 = 2 + 1 = 3
x + 2 = 2 + 2 = 4
Therefore the numbers are 2, 3, 4 are consecutive and equality is true
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Answer:
91 students passed the test.
Step-by-step explanation:
130 / 10 = 13
13 x 3 = 39
130 - 39 = 91