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Ann [662]
3 years ago
15

Find four consecutive even integers whose sum is 84. Find the integers.

Mathematics
1 answer:
mina [271]3 years ago
4 0
Suppose the integers are n , n+2 , n+4 and n+6.
84=n+(n+2)+(n+4)+(n+6)=4n+12.
Subtract 12 from both ends to get.
72=4n.
Divide both ends by 4 to get.
n=18.
So the integers are: 18 , 20 , 22 , 24.
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A health study tracked a group of person for five years. At the beginning of the study, 20% were classified as heavy smokers, 30
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Answer: 0.421

Step-by-step explanation:

Heavy smoker = 20%

Light smoker = 30%

Non smokers = 50%

We can assume that the probability that a non-smoker is going to die in the next 5 years be y.

Since light smokers were twice as likely as nonsmokers to die during the five-year study, the probability will be:

= 2 × y = 2y

Probability for the Heavy smokers will be:= 2 × 2y = 4y

The expected number of people that will die for each in the next 5 years will be:

Non smoker:

= 50% × y

= 0.5 × y

= 0.5y

Light smoker:

= 30% × 2y

= 0.3 × 2y.

= 0.6y

Heavy smoker:

= 20% × 4y.

= 0.2 × 4y

= 0.8y

Total = 0.5y + 0.6y + 0.8y = 1.9y

The probability that the participant was a heavy smoker will be:

= 0.8y/1.9y

= 0.421

3 0
3 years ago
Let f(x)=4x+9. Write a function g whose graph is a reflection in the y-axis of the graph of f. g(x)= ?
frez [133]

Answer:

g(x)=-4x+9

Step-by-step explanation:

So we know that:

f(x)=4x+9

To reflect across the <em>y-axis</em>, instead of x, use -x. Therefore:

g(x)=f(-x)=4(-x)+9

Simplify:

g(x)=-4x+9

And that's our answer :)

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Kelly should ask the realtor.
5 0
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Step-by-step explanation:

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Answer:

20x-12

Step-by-step explanation:

Given:

7(3x−1)−(x+5)

Step 1: Distribute the Negative Sign:

=7(3x−1)+−1(x+5)

=7(3x−1)+−1x+(−1)(5)

=7(3x−1)+−x+−5

Step 2: Distribute:

=(7)(3x)+(7)(−1)+−x+−5

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Step 3: Combine  

=21x+−7+−x+−5

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8 0
2 years ago
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