There are one, tens and seven, ones in seventeen
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Answer:
A. 15 mo; $875
B. 5 mo; $250
Step-by-step explanation:
A. <em>Gym fees
</em>
Let n = no. of months
<em>Community Gym</em>: Fees = 50 + 55n
<em>Workout Gym:</em> Fees = 200 + 45n
When the fees are equal,
50 + 55n = 200 + 45n Subtract 50 from each side
55n = 150 + 45n Subtract 45n from each side
10n = 150 Divide each side by 10
n = 15
<em>Community Gym</em>: Fees = 50 + 55n
Fees = 50 + 55×15
Fees = 50 + 825
Fees = $875
<em>Workout Gym</em>: Fees = 200 + 45n
Fees = 200 + 45×15
Fees = 200 + 675
Fees = $875
After 15 mo, the fees at each gym will be equal at $875.
B. <em>Computer
</em>
Option 1: Savings = 200 + 10n
Option 2: Savings = 100 + 30n
When the savings are equal,
200 + 10n = 100 + 30n Subtract 100 from each side
100 + 10n = 30n Subtract 10n from each side
100 = 20n Divide each side by 20
n = 5
<em>Option 1</em>: Savings = 200 + 10n
Savings = 200 + 10×5
Savings = 200 + 50
Savings = $250
<em>Option 2</em>: Savings = 100 + 30n
Savings = 100 + 30×5
Savings = 100 + 150
Savings = $250
After five months, the savings by either option will be equal at $250.
Complete Question
A hypothetical population consists of eight individuals ages 13 14 17 20 21 22 24 30 years.
A: what is the probability that a person in this population is a teenager?
B: what is the probability of selecting a participant who is at least 20 years old?
We have that probability that a person in this population is a teenager and probability of selecting a participant who is at least 20 years old is
From the question we are told
A hypothetical population consists of eight individuals ages 13, 14, 17, 20, 21, 22, 24, & 30 years.
a)
Generally the equation for the probability that a person in this population is a teenager is mathematically given as
![P(T)=\frac{no of teens}{n}\\\\P(T)=\frac{3}{8}](https://tex.z-dn.net/?f=P%28T%29%3D%5Cfrac%7Bno%20of%20teens%7D%7Bn%7D%5C%5C%5C%5CP%28T%29%3D%5Cfrac%7B3%7D%7B8%7D)
P(T)=0.38
b)
Generally the equation for the probability of selecting a participant who is at least 20 years old is mathematically given as
![P(T)=\frac{ participants\ who\ is\ at\ least\ 20\ years old}{n}\\\\P(T)=\frac{5}{8}](https://tex.z-dn.net/?f=P%28T%29%3D%5Cfrac%7B%20participants%5C%20who%5C%20is%5C%20at%5C%20least%5C%2020%5C%20years%20old%7D%7Bn%7D%5C%5C%5C%5CP%28T%29%3D%5Cfrac%7B5%7D%7B8%7D)
P(T')=0.63
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(3a^4 * b^-2) * (2a^7 * b^-1)
= 6*a^(4+7)*b^(-2-1)
= 6*a^11*b^-3