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emmainna [20.7K]
2 years ago
15

Evie and her father are comparing their ages. At the current time, Evie's father is 36 years older than her. Theee years from no

w, Evie's father will be five times her age at that point. How old is Evie now?
Mathematics
1 answer:
artcher [175]2 years ago
7 0
Let F be the father's current age, and E be Evie's current age.
F = E + 36                 this is the current relation between the ages
F + 3 = 5(E + 3)        this the relationship in 3 year (hence the + 3)
Then solve by substituting one equation into another:
(E + 36) + 3 = 5(E + 3)
         E + 39 =  5E + 15
                24 = 4E
                  6 = E
Evie's current age is 6.
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4.19. A study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stoc
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P (S∩E)  = 0.1591

Step-by-step explanation:

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2 years ago
In a golf tournament, Sam played 4 rounds and was within 2 strokes of par for all 4 rounds of the tournament. If par is 72 on th
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|x-4(72)|=2

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The highest and lowest scores Sam could have made in the tournament.

Solution:

We have,

|x-4(72)|=2

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It can be written as

x-288=\pm 2

Add 288 on both sides.

x=288\pm 2

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Meeting at least one person with the flu in thirteen random encounters on campus when the infection rate is 2% (2 in 100 people
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Answer:

23.1% probability of meeting at least one person with the flu

Step-by-step explanation:

For each encounter, there are only two possible outcomes. Either the person has the flu, or the person does not. The probability of a person having the flu is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Infection rate of 2%

This means that p = 0.02

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This means that n = 13

Probability of meeting at least one person with the flu

Either you meet none, or you meet at least one. The sum of the probabilities of these outcomes is 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{13,0}.(0.02)^{0}.(0.98)^{13} = 0.7690

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.769 = 0.231

23.1% probability of meeting at least one person with the flu

6 0
2 years ago
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