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AysviL [449]
3 years ago
8

Exercise Plus charges a yearly fee of $75 plus $10 a month. Gym and Swim charges a yearly fee of $50 plus $15 a month. When , if

ever, is the cost the same?
Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0

Answer:

5 months will be the same cost at each gym.

Step-by-step explanation:

As

  • Exercise Plus charges a yearly fee of $75 plus $10 a month.
  • Gym and Swim charges a yearly fee of $50 plus $15 a month.

Let x by the number of months

75+10x=50+15x

10x=15x-25

-5x=-25

\frac{-5x}{-5}=\frac{-25}{-5}

x=5

Therefore, 5 months will be the same cost at each gym.

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The commute time to work in the U.S. Has a bell shaped distribution with a population mean of 24.4 minutes and a population stan
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Answer:

1. 0.9544

2. 0.0228

3. 0.0228

Step-by-step explanation:

The computation is shown below;

As we know that

At Normal distribution

P(X < A) = P(Z < \frac{(A - mean)}{standard deviation})

As per the question, the data provided is as follows

Mean = 24.4 minutes

Standard deviation = 6.5 minutes

Based on the above information

P(11.4 < X < 37.4) = P(X < 37.4) - P(X < 11.4)

= P(Z < (37.4 - 24.4) ÷ 6.5) - P(Z < (11.4 - 24.4) ÷ 6.5)

= P(Z < 2) - P(Z < -2)

= 0.9772 - 0.0228

= 0.9544

2. P(X < 11.4) = 0.0228

3. P(X ≥ 37.4) = 1 - P(X < 37.4)

= 1 - 0.9772

= 0.0228

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3 years ago
Use a map to plan a trip in the United States.Find the number of miles between your current location and your destination, and d
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Answer:

292.5 miles per day

Step-by-step explanation:

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Question 24
rewona [7]

Answer: A   M (2,-3)  and N ( 4,1)

Step-by-step explanation:

(-2, 3)  after a 180 degrees rotation the coordinates will be in the fourth quadrant (2,-3)  and the y coordinate is always negative in the fourth quadrant.

(-4,1)  after a 180 degrees rotation  the coordinates will be in the first quadrant (4,1) and all the coordinates will be positive.

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3 years ago
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=  

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=  

10/10

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10 ÷ 10/10 ÷ 10

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