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Lynna [10]
3 years ago
15

Use the elimination method to solve the system of equations choose the correct order pair.

Mathematics
2 answers:
ivann1987 [24]3 years ago
8 0

Answer:

Its the third choice:

(2, 5).

Step-by-step explanation:

6x + 4y = 32

-6x + 4y = 8     Adding the 2 equations:

0 + 8y = 40

8y = 40

y = 5

Now substitute for y in the first equation:

6x  + 4(5) = 32

6x = 32 - 20 = 12

x = 2.


vredina [299]3 years ago
5 0
Add equation 1 and 2 to remove 6x. You will end up with
8y = 40
By solving, y=5

Sub 5 into any equation
6x + 4(5) = 32
By solving, x=2
The ordered pair is (2,5)
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Answer:

5^5

Step-by-step explanation:

when multiplying two expression like this you should add up their powers

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The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The
zavuch27 [327]

The standard deviation of the frequency distribution is 5.54

<h3>How to determine standard deviation?</h3>

The table of values is given as:

x     f(x)

0-3 13

4-7  13

8-11 10

12-15 11

16-19 0

20-23 3

Rewrite the table by calculating the class midpoints:

x     f(x)

1.5 13

5.5  13

9.5 10

13.5 11

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Start by calculating the mean using:

\bar x = \frac{\sum fx}{\sum f}

This gives

\bar x = \frac{1.5 * 13 + 5.5 * 13 + 9.5 * 10 + 13.5 * 11 + 17.5 * 0 + 21.5 * 3}{13 + 13 + 10 + 11 + 0 +3}

Evaluate

\bar x = 7.98

The standard deviation is then calculated as:

\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f }}

So, we have:

\sigma= \sqrt{\frac{13 * (1.5 - 7.98)^2 + 13  * (5.5 - 7.98)^2 + (9.5 - 7.98)^2 * 10 + (13.5 - 7.98)^2 * 11 + (17.5 - 7.98)^2 * 0 + (21.5 - 7.98)^2 * 3}{13 + 13 + 10 + 11 + 0 +3}}

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\sigma= \sqrt{30.6496}

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7 0
1 year ago
A repeated-measures study comparing two treatments with n = 4 participants produces md = 2 and ss = 75 for the difference scores
valentinak56 [21]

The estimated standard error for the sample mean difference is  2.5 .

According to the question

A repeated-measures study comparing two treatments

n = 4

MD(mean difference) = 2

SS (sum of square) = 75

Now,

error for the sample  

Formula for standard error

S^{2} = \frac{SS}{n-1}

by substituting the value

S^{2} = \frac{75}{4-1}

S^{2} = \frac{75}{3}

S² = 25

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Standard error of the estimate for the sample mean difference

As

The standard error of the estimate is the estimation of the accuracy of any predictions.

The formula for standard error of the mean difference

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5 0
1 year ago
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BartSMP [9]

Answer:

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