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Setler [38]
4 years ago
15

Carlos ran 7 miles in 57 3/4 minutes. how fast did he run each mile?

Mathematics
1 answer:
Nimfa-mama [501]4 years ago
3 0
That is 7 miles in 57.75 minutes.
57.75 minutes / 7 miles = 8.25 minutes per mile =
8 minutes 15 seconds for each mile.


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The answer would be 30% , 3% would only be correct if he gave 0.3/10
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One pizza will feed 4 people. How many pizzas are needed for 8 people?
tatuchka [14]

Answer:

<h2>2 pizzas </h2>

Step-by-step explanation:

1 \: pizza = 4\:people\\x \:pizzas = 8\:people\\\\Cross \:multiply\\\\4x =8\\\\Divide\:both\:sides\:of\:the\:equation\:by\:4\\\frac{4x}{4}=\frac{8}{4}  \\\\x =2 \: pizzas

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Lunch break: In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was $43.5
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Using the Empirical Rule, it is found that:

  • a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
  • b) Approximately 95% of the amounts are between $38.03 and $49.11.
  • c) Approximately 68% of the amounts fall between $40.73 and $46.27.

------------

The Empirical Rule states that, in a <em>bell-shaped </em>distribution:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

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Item a:

43.5 - 3(2.77) = 35.26

43.5 + 3(2.77) = 51.88

Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.

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Item b:

43.5 - 2(2.77) = 38.03

43.5 + 2(2.77) = 49.11

Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.

-----------

Item c:

  • 68% is within 1 standard deviation of the mean, so:

43.5 - 2.77 = 40.73

43.5 + 2.77 = 46.27

Approximately 68% of the amounts fall between $40.73 and $46.27.

A similar problem is given at brainly.com/question/15967965

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Here is one example:

2\cdot \sin 0.5x \cdot \cos 0.5x

\sin 0.5x \cdot \cos 0.5x + \cos 0.5x\cdot \sin 0.5x

\sin (0.5x + 0.5x)

\sin x

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Solution: (3x + 4y - 3z) x (3x + 4y + 3z)
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