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3 years ago

How do I graph this

Mathematics

1 answer:

disa [49]3 years ago

7 0

Answer:

ight so you put a dot at -2 and then go up like, go up -2 line until you look across and it says 7 and put a dot there

Step-by-step explanation:

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Compute the standard deviation for the set of data.<br><br> 13.3, 14.3, 15.3, 16.3, 17.3

Gennadij [26K]

<h3>Answer: Choice A) sqrt(2)</h3>

==========================================

Explanation:

Add up all of the values

13.3+14.3+15.3+16.3+17.3 = 76.5

Then divide by 5 as there are n = 5 values in the set given

76.5/5 = 15.3

The mean of this data set is 15.3

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Subtract the mean from each value to get this list of differences

x1 - mean = 13.3 - 15.3 = -2

x2 - mean = 14.3 - 15.3 = -1

x3 - mean = 15.3 - 15.3 = 0

x4 - mean = 16.3 - 15.3 = 1

x5 - mean = 17.3 - 15.3 = 2

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Square each result from the previous section

(-2)^2 = 4

(-1)^2 = 1

(0)^2 = 0

(1)^2 = 1

(2)^2 = 4

Then add up those results

4+1+0+1+4 = 10

This is the sum of the squared differences.

------------

Divide the sum of the squared differences by n = 5 to get 10/5 = 2

The population variance is 2

The population standard deviation is the square root of this, so we get sqrt(2) as our final answer.

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Side note: This data set was fairly small, so computing the standard deviation by hand wasnt too painful. When it comes to larger data sets, it is smarter to use a spreadsheet program to easily calculate the answer. The drawback is that you wont be able to get an exact answer in terms of radicals (then again you could always use a CAS, which stands for "computer algebra system").

6 0

3 years ago

Answers here or on your

AleksandrR [38]

Answer/Step-by-step explanation:

Given:

When Jada took 8 steps, Noah took 10 steps

When Jada took 12 steps, Noah took 15 steps

a. The following table can be created as follows given that x = steps taken by Jada, and y = steps taken by Noah:

From the info given, the ratio of Noah's steps to Jada's steps is 15 : 12 = 10 : 8 = 5 : 4 = ⁵/4.

Use this ratio to create a table of 3 pairs of values as shown below.

Jada's Steps (x) ===> Noah's steps (y)

4 ===> 5

8 ==> 10

12 ==> 15

b. The graph of that shows this relationship has been attached below. Check the attachment.

c. Constant of proportionality can be calculated in each representation as follows: y/x = k. Where y is steps taken by Noah, x is for steps taken by Jada, and I is constant of proportionality.

Thus,

Constant of proportionality (k) = 15/12 = ⁵/4

This means, for every 5 steps taken by Noah, Jada takes 4 steps.

This relationship is represented by the equation, y = ⁵/4x.

The ⁵/4 in the equation is the constant of proportionality of their relationship.

d. The equation, description, graph, and table all represent the same situation because they all show the same constant of proportionality between x and y.

In the equation, ⁵/4 represents the constant of proportionality. In the graph, the slope is ⁵/4, which is also the same last constant of proportionality.

In the table, the constant of change in each pair is ⁵/4 all through.

6 0

3 years ago

Find the next term for the given sequence.52, 45, 38, 31

valkas [14]

The answer is 24. To get to each term, we can see that the value is decreasing by 7. So 31 - 7 = 24

4 0

3 years ago

What is the following simplified product? Assume x greater-than-or-equal-to 0

nlexa [21]

Answer:

$10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}$

Step-by-step explanation:

Remove perfect squares from under the radicals.

$(\sqrt{10x^4}-x\sqrt{5x^2})(2\sqrt{15x^4}+\sqrt{3x^3})\\\\=(\sqrt{10x^4})(2\sqrt{15x^4}) +(\sqrt{10x^4})(\sqrt{3x^3}) -(x\sqrt{5x^2})(2\sqrt{15x^4}) -(x\sqrt{5x^2})(\sqrt{3x^3})\\\\=2\sqrt{150x^8}+\sqrt{30x^7}-2x\sqrt{75x^6}-x\sqrt{15x^5}\\\\=\boxed{10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}}$