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r-ruslan [8.4K]
4 years ago
12

Mrs.Jackson is filling planter boxes with soil. She has soil that is 27% sand and she buys 8 pounds of a commercial potting soil

that is 16% sand. She mixes some of her soil with the 8 pounds of commercial potting soil. The resulting soil mixture is 19% sand. How many pounds of her soil did she use?
Mathematics
1 answer:
cluponka [151]4 years ago
6 0
(27x + 16*8)/x+8 = 19

(27x +128) /x+8 = 19

multiply both sides by x+8

27x+128 = 19x +152

subtract 19x from both side:

8x +128 = 152

subtract 128 from both side:

8x = 24

divide both sides by 8

x = 24 /8

x = 3 pounds




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You can use the fact that a residual value is obtained by subtracting the prediction by the line of best fit from the actual data value we have.

The residual value 1.3 when referring to the line of best fit of a data set means:

Option B: A data point is 1.3 units below the line of best fit

<h3>What is a residual value and how is it calculated?</h3>

First of all, this whole story starts with data. We get data and we try to fit a line which can best imitate the way data is lying on the coordinate plane.

Remember that on a 2d coordinate cartesian plane, we have (x,y) called as point on plane and x is abscissa and y is called ordinate.

Let the best fit line be denoted by y = mx + c (assuming we're working with 2d data) with slope m and y-intercept c.

Now, this line is used to predict where can the next data point may lie.

When this best fit line is used to predict already present data point, we get the error that best fit line made when predicting the real data.

This is measured by "residual value"

For data point with ordinate b, we suppose get prediction as y

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Remember, the prediction is before the real data point's ordinate.

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Let the real value be b and the predicted value be y from which this residual was calculated.

Then we have:

y - b = 1.3

y = 1.3 + b

Thus, we see that prediction is bigger than the real data point's y-ordinate. Since y axis has increasing value as we go higher and higher vertically, thus this prediction value's ordinate is higher than that of real value's ordinate.

The prediction, since shows the height of best fit line on that input point, thus we have:

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Learn more about line of best fit here:

brainly.com/question/2396661

8 0
3 years ago
Hal earns n dollars per hour. Next month he will receive a 2% raise in pay per hour. The expression
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1.02n

This is basically adding the n variables together. We do this by adding a 1 to the number being multiplied to n. This would basically add the 2% on top of what the original pay per hour is. We can prove that these two expressions are the same by substituting n for 10 in both expressions and solving them.

1.02n

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n + 0.02n

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10 + 0.2 = 10.2

3 0
3 years ago
An Individual Retirement Account​ (IRA) has ​$17 comma 000in​ it, and the owner decides not to add any more money to the account
Umnica [9.8K]

Answer: The owner reaches at Rs. 56438.28 after 30 years.

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Since we have given that

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ollegr [7]
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--------    =     --------      = 9:5
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Answer:

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Step-by-step explanation:

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