If five mechanical pencils cost #4.27. What scale factor could be used to calculate the cost of 54 pencils
1 answer:
If five mechanical pencils cost #4.27.
we need to find the scale factor used to calculate the cost of 54 pencils
We are given with 5 pencils
We need to find the scale factor for 54 pencils
we need to find out what multiply with 5 to get 54
For that we divide 54 by 5
so scale factor is 10.8
5 times 10.8 = 54
We multiply the scale factor 10.8 by cost of 5 pencils to find the cost of 54 pencils
10.8 * 4.27 = 46.116 = $46.12
the scale factor 10.8 is used to calculate the cost of 54 pencils
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Answer:
E. 0.11
Step-by-step explanation:
We have these following probabilities:
A 10% probability that a person has the flu.
A 90% probability that a person does not have the flu, just a cold.
If a person has the flu, a 99% probability of having a runny nose.
If a person just has a cold, a 90% probability of having a runny nose.
This can be formulated as the following problem:
What is the probability of B happening, knowing that A has happened.
It can be calculated by the following formula
Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.
In this problem, we have that:
What is the probability that a person has the flu, given that she has a runny nose?
P(B) is the probability that a person has the flu. So P(B) = 0.1.
P(A/B) is the probability that a person has a runny nose, given that she has the flu. So P(A/B) = 0.99.
P(A) is the probability that a person has a runny nose. It is 0.99 of 0.1 and 0.90 of 0.90. So
What is the probability that this person has the flu?
The correct answer is:
E. 0.11