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Artemon [7]
3 years ago
11

The tires on Miguel's bicycle have a diameter of 28 inches. How many feet has Miguel traveled when the tires complete 15 revolut

ions? Use 3.14 for π . Round to the nearest tenth of a foot if necessary. ft
Mathematics
1 answer:
-BARSIC- [3]3 years ago
4 0

Answer:

109.9 feet

Step-by-step explanation:

To find how many feet has Miguel traveled, we need to know the circunference of the tire:

C = pi*d = 3.14 * 28 = 87.92 inches

So, for each revolution of the tire, Miguel will travel 87.92 inches. So, to know the distance he will travel, we can do a rule of three:

1 revolution -> 87.92 inches

15 revolutions -> x inches

1/15 = 87.92/x

x = 87.92 * 15 = 1318.8 inches

As the question asks for the distance in feet, we convert from inch to foot by dividing the value of inches by 12, so:

distance in feet = 1318.8 / 12 = 109.9 feet

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Refer to the accompanying technology display. The probabilities in the display were obtained using the values of n equals n=5 an
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Answer:

<u><em></em></u>

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Explanation:

Notice that where it says "assume that 55 subjects are randomly selected ..." there is a typo. The correct statement is "assume that 5 subjects are randomly selected ..."

You are given the table with the probability distribution, assuming, correctly, the binomial distribution with n = 5 and p = 0.732.

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  • n = 5 is the number of trials (number of subjects in the sample).

The meaning of the table of the distribution probability is:

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To answer whether it <em>is reasonable to expect that more than one subject will experience​ headaches</em>, you must find the probability that:

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That is:

  • P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5).

That is also the complement of P(X = 0) or P(X = 1)

  • 1 - P(X = 0) - P(X = 1)

From the table:

  • P(X = 0) = 0.0014
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Hence:

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That is very close to 1; thus, it is highly likely that more than 1 subject will experience headaches.

In conclusion, <em>yes, it is reasonable to expect that more than one subject will experience​ headaches</em>

6 0
3 years ago
How many seconds are in 10 hours
enot [183]
There are 60 seconds in a minute.

There are 60 minutes in an hour.

This means that there'd be 600 minutes in 10 hours.

And if there are 60 seconds in a minute, there are 600 x 60 seconds in 600 minutes.

600 x 60 = 600 x 10 x 6 = 6000 x 6 = 36000

So we know that there are 36000 seconds in 10 hours.
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3 years ago
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Step-by-step explanation:

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a system of equations has infinitely many solutions. if 2y – 4x = 6 is one of the equations, which could be the other equation?
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<span>A system of equations has infinitely many solutions when the two lines representing the equations coincide. i.e. the two equations are the same or a multiple of each other.
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