Answer: 45 years old
Step-by-step explanation:
<u>Given:</u>
- Father's age is thrice the sum of ages of his two children
- After five years, his age will be twice the sum of their ages
Let x be the two children's current age and 3x be the father's current age
<u>Solve:</u>
Set equation
3x + 5 = 2 ( x + 10 )
Expand parenthesis
3x + 5 = 2x + 20
Subtract 5 on both sides
3x + 5 - 5 = 2x + 20 - 5
3x = 2x + 15
Subtract 2x on both sides
3x - 2x = 15
x = 15
15 × 3 = 45 years old
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Answer:
The answer is
her score was in the top 85% of all test takers' scores.
Step-by-step explanation:
Percentile is the relative standing in a set of data from the lowest values to highest values.
If your score is in the 85th percentile, it means that 85% of the scores are below your score and 15% are above your score.
Answer: a. 0.61
b. 0.37
c. 0.63
Step-by-step explanation:
From the question,
P(A) = 0.39 and P(B) = 0.24
P(success) + P( failure) = 1
A) What is the probability that the component does not fail the test?
Since A is the event that the component fails a particular test, the probability that the component does not fail the test will be P(success). This will be:
= 1 - P(A)
= 1 - 0.39
= 0.61
B) What is the probability that a component works perfectly well (i.e., neither displays strain nor fails the test)?
This will be the probability that the component does not fail the test minus the event that the component displays strain but does not actually fail. This will be:
= [1 - P(A)] - P(B)
= 0.61 - 0.24
= 0.37
C) What is the probability that the component either fails or shows strain in the test?
This will simply be:
= 1 - P(probability that a component works perfectly well)
= 1 - 0.37
= 0.63
y varies directly with x.
The constant of variation is k = 7
Step-by-step explanation:
We have to check whether both vary directly with each other or not.
Every pair of x and y will be considered one by one
If y varies directly with x, it should satisfy y = kx or k = yx
So,
For x= -2, y=-14
For
x=3, y=21
For
x=5, y=35
As k is same for all pairs of x and y, it can be concluded that:
y varies directly with x.
The constant of variation is k = 7
Keywords: Proportion, variation
Learn more about proportion at:
#LearnwithBrainly
Answer: 7/18
Step-by-step explanation:
Number of customers at Eva's boutique = 90
Number of customers who wore a size extra-large = 35
The probability that a randomly selected customer wore a size extra-large will be:
= Number of customers who wore a size extra-large / Number of customers at Eva's boutique
= 35 / 90
= 7/18
Therefore, the probability that a randomly selected customer wore a size extra large is 7/18.
