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4 years ago

Plz help me!!

Mathematics

1 answer:

ozzi4 years ago

3 0

Answer:

You should circle:

15, 17, 19, 24, 25, 26, 28

Step-by-step explanation:

The values x that falls within 1 standard deviation of the mean are those which.

$|x - 20.4| \leq 7.9$

|6 - 20.4| = 14.4 > 7.9

6 is not within 1 standard deviation of the mean.

|11 - 20.4| = 9.4 > 7.9

11 is not within 1 standard deviation of the mean.

|15 - 20.4| = 5.4 < 7.9

15 is within 1 standard deviation of the mean.

|17 - 20.4| = 3.4 < 7.9

17 is within 1 standard deviation of the mean.

|19 - 20.4| = 1.4 < 7.9

19 is within 1 standard deviation of the mean.

|24 - 20.4| = 3.6 < 7.9

24 is within 1 standard deviation of the mean.

|25 - 20.4| = 4.6 < 7.9

25 is within 1 standard deviation of the mean.

|26 - 20.4| = 5.6 < 7.9

26 is within 1 standard deviation of the mean.

|28 - 20.4| = 7.6 < 7.9

28 is within 1 standard deviation of the mean.

|33 - 20.4| = 12.6 > 7.9

33 is not within 1 standard deviation of the mean.

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Answer:

The animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

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Step-by-step explanation:

The given parameters can be summarized as:

$\begin{array}{cccc}{} & {x} & {y} & {Total} & {Protein} & {70} & {21} & {168} &{Fats}& {9} & {7} & {27} & {Minerals} & {7} & {1} & {14}& {Cost} & {21} & {7} & {} \ \end{array}$

Where: x = Soybeans and y = Oats.

So, the system of equations are:

$70x + 21y = 168$

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The best way to solve this, is using graph

Plot the following equations on a graph, and get the points of intersection:

$70x + 21y = 168$

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From the attached graph, we have:

$(x_1,y_1) = (1.636,2.545)$

$(x_2,y_2) = (1.775,1.575)$

$(x_3,y_3) = (2.023,1.256)$

Substitute each of the values of x's and y's in the cost function to get the minimum cost:

$Cost = 21x + 7y$

$(x_1,y_1) = (1.636,2.545)$

$Cost = 21 * 1.636 + 7 * 2.545$

$Cost = 52.171$

$(x_2,y_2) = (1.775,1.575)$

$Cost = 21 * 1.775 + 7 * 1.575$

$Cost = 48.3$

$(x_3,y_3) = (2.023,1.256)$

$Cost = 21 * 2.023 + 7 * 1.256$

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The values of x and y that gives the minimum cost is:

$(x_2,y_2) = (1.775,1.575)$

and the minimum cost is:

$Cost = 48.3$

Hence, the animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

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Answer:

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Step-by-step explanation:

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Where t = total time they spent at mount rushmore (hours)

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