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stich3 [128]
3 years ago
7

Julia and Anthony each ride their bicycles along a path to the park. The equations that represent their distances in miles from

the park as a function of time in minutes are:
Julia: d = 0.25t

Anthony: d = 4.5 – 0.20t



What is their distance from the park when they meet on their bicycles?
Mathematics
2 answers:
Usimov [2.4K]3 years ago
6 0
2.5 miles just took the test
spin [16.1K]3 years ago
6 0

Answer:

Their distance from the park when they meet on their bicycles = 2.5 miles

Step-by-step explanation:

The equations that represent their distances in miles from the park as a function of time in minutes are:

     Julia: d = 0.25t and Anthony: d = 4.5 – 0.20t

We need to find their distance from the park when they meet on their bicycles.

When they meet their distance is same that is

                d = 0.25t =  4.5 – 0.20t

                       0.45 t = 4.5

                               t = 10 minutes

Distance from park when t = 10 s

                d = 0.25 x 10 = 2.5 miles

Their distance from the park when they meet on their bicycles = 2.5 miles

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Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

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b. We have to know that 68% of the values are within the first standard deviation of the mean.

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This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

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Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to $ \frac{95}{2} \% $ of the values.

Therefore, Scores between 72 and 90 = $ \frac{95}{2(100)} \times 1200 = \frac{95}{200} \times 1200  $

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Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 = $ \frac{2.5}{100} \times 1200 $

= 2.5 X 12 = 30.

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