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satela [25.4K]
2 years ago
8

A fruit stand has to decide what to charge for their produce. They need \$10$10dollar sign, 10 for 4 apples and 4 oranges. They

also need $12 for 6 apples and 6 oranges. We put this information into a system of linear equations.
Can we find a unique price for an apple and an orange?
Mathematics
1 answer:
Lostsunrise [7]2 years ago
7 0

Answer:

  no

Step-by-step explanation:

The prices are inconsistent, so there is no unique price that can be set for either an apple or an orange that will give the total prices indicated.

__

The first relation can be written as ...

  $10 = 4A +4O

  $10 = 4(A +O) . . . . factor out 4

  $2.50 = A +O . . . . divide by 4

The second relation can be written as ...

  $12 = 6A +6O

  $12 = 6(A +O) . . . . factor out 6

  $2 = A +O . . . . . . . divide by 6

These two relations give different prices for 1 apple and 1 orange. There is no price that can be set for either fruit that will give this result.

No unique prices can be assigned.

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3 years ago
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3 0
3 years ago
Kyle and Michael run a lap around a track. Kyle gets a 50 meter head start and runs 3 meters per second. Michael runs at a speed
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4 0
3 years ago
Read 2 more answers
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviat
german

Answer:

Range =94

σ² = 1,141.564

Standard Deviation = 33.78703

Step-by-step explanation:

First off to find the range, we find the highest value and subtract it to the lowest value. In this situation the values are:

Highest = 99

Lowest = 5

Range = 99 - 5

Range = 94

Now to find the variance of the sample data set, we first need to find for the mean of the data.

The mean of the data with be the sum of all the numbers in the data set divided by the number of samples.

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Then you divide the number of samples and that is 11 so the next equation is 680 divided by 11

So the then-

Mean = 61.81818

Now to find the variance we simply use the formula:

Now to find the variance we simply use the formula:

σ²=\frac{(xi - Mean)^{2}  }{n-1}

σ²=\frac{(5 - 61.818)^{2} + (14 - 61.818)^{2} + (26 - 61.818)^2 +  (99 - 61.818)^2} {11-1}

σ²=\frac{11,415.64}{10}

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Now to find the standard deviation, we take the variance and get the square root of it.

Standard Deviation= \sqrt{1,141.564}

Standard Deviation= 33.78703

HOPE THIS HELPS :)

6 0
3 years ago
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