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Mila [183]
3 years ago
9

It takes 63 pounds of seed to completely plant a 7 acre field. How many acres can be planted per pound of seed?

Mathematics
1 answer:
Phantasy [73]3 years ago
3 0

0.11 acres can be planted per pound of seed

<em><u>Solution:</u></em>

Given that it takes 63 pounds of seed to completely plant a 7 acre field

To find: acres can be planted per pound of seed

Let "x" be the acres which can be planted per pound of seed

Therefore, from given question,

63 pounds of seed = 7 acre field

1 pound of seed = "x" acre field

This forms a proportion and we can solve the sum by cross multiplying

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction

Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction

Set the two products equal to each other

Solve for the variable

63 \times x = 7 \times 1\\\\63x = 7\\\\x = \frac{7}{63} = 0.11

Thus 0.11 acres can be planted per pound of seed

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There are two data sets x and y.

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Y includes = 360 293 315 212 315 331 404

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Step 1: Find the mean of each set.

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Step 2: Subtract the mean of X from every value X value (denote this with letter a). Do the same for y (denote this with letter b).

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The mean of Y subtracted from every value of Y (b):

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Step 3: Calculate: a *  b, a^2 and b^2 of every value.

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20.898

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43.184

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653.898

12.755

11357.469

12.755

154.469

7298.041

Sum: 21205.714


Step 4: Solve using this formula

r = ∑a * b / √((a²)(b²))

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