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2 years ago

11

Kevin bicycles a total of 2,340 miles last year. On average, about how many miles did he bike each week? 195 45 44 46

1 answer:

svlad2 [7]2 years ago

7 0

In order to find the average you have to add up all the data values and then find the sum of the data values.

$195 + 45 + 44 + 46 = 330\\\frac{330}{4} = 82.5\\\\$

So on average he ran about 82.5 miles.

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As given,

The population of the town increased from 175000 to 262500 in a decade.

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Step-by-step explanation:

Given

$Average = 85$

$Scores = 83, 78, 87, 80$

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Required

Set up an equation

Solve for the fifth and sixth score

Average is calculated as thus:

$Average = \frac{\sum x}{n}$

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Substitute 85 for Average

$85 = \frac{83 +78 + 87 + 80 + x + 8 + x}{6}$

$85 = \frac{83 +78 + 87 + 80 + 8+ x + x}{6}$

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Multiply both sides by 6

$85 * 6 = 336 + 2x$

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Solve for 2x

$2x = 510 - 336$

$2x = 174$

Solve for x

$x = 174/2$

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Hence:

<em></em> $Fifth\ Score = 87$ <em></em>

<em></em> $Sixth\ Score = 87 + 8$ <em></em>

<em></em> $Sixth\ Score = 95$ <em></em>

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