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Zarrin [17]
3 years ago
6

At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. At another gym, each month at the g

ym costs $22. After how many months will the cost of both gyms be the same?
Mathematics
1 answer:
nata0808 [166]3 years ago
5 0

Answer:

6 months

Step-by-step explanation:

Gym1

12 + 20m

Gym2

22m

Set them equal

12 +20m = 22m

Subtract 20 m from each side

12 +20m-20m = 22m-20m

12 = 2m

Divide by 2

12/2 = 2m/2

6 =m

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86.5

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Two college roommates have each committed to donating to charity each week for the next year. The roommates’ weekly incomes are
schepotkina [342]

Answer:

C. 5 weeks.

Step-by-step explanation:

In this question we have a random variable that is equal to the sum of two normal-distributed random variables.

If we have two random variables X and Y, both normally distributed, the sum will have this properties:

S=X+Y\\\\\ \mu_S=\mu_X+\mu_Y=30+60=90\\\\\sigma_S=\sqrt{\sigma_X^2+\sigma_Y^2}=\sqrt{10^2+20^2}=\sqrt{100+400}=\sqrt{500}=22.36

To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:

z=\frac{S-\mu_S}{\sigma_S} =\frac{120-90}{22.36}=\frac{30}{22.36}=1.34\\\\P(S>120)=P(z>1.34)=0.09012

The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:

E=\#weeks*P(S>120)=52*0.09012=4.68

The nearest answer is C. 5 weeks.

6 0
2 years ago
Name
kaheart [24]

Answer:

Slope is -2/7

Step-by-step explanation:

Slope formula is y₂-y₁/x₂-x₁

So...

(x₁,y₁) and (x₂,x₂) →(2,2) and (-5,4)

4-2= 2

-5-2= -7

2/-7

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3 years ago
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