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hjlf
4 years ago
15

Solve the system for (y) x+5y =-4; -x+5y=-16

Mathematics
1 answer:
kotykmax [81]4 years ago
8 0

Answer:

x - 5y= -4 (equ...1)

-x + 5y=-16 (equ...2)

From equ... 1

x= -4 + 5y (equ... 3)

Substitute equ...3 into equ...2

-4 + 5y + 5y=-16

-4 + 10y=-16

Collect like terms

10y=-16 + 4

10y=-12

Divide both side by 10

y= -12/10 or -1.2

Substitute y= -1.2

x=-4 + 5y

x=-4 + 5(-1.2)

x=-4 - 6

x= -10

Hence,x= -10,y=-1.2 or-12/10

Step-by-step explanation:

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It would seem the problem requires you compute the mean, median, and standard deviation of each of the data sets. This is nicely done using the statistics functions of your graphing calculator.

Data Set A (mean, median, standard deviation) = (29.7, 29.5, √12.71)
Data Set B (mean, median, standard deviation) = (27.95, 27, √6.1475)

1. False. Data Set B is skewed to the right.
2. TRUE. 27.95 is within 3 of 29.7.
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3 years ago
According to the United States Census Bureau, the average single-family home constructed in 2016 was 2,463 square feet. Carmen w
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Using the t-distribution, it is found that the value of the test statistic is t = -87.3.

At the null hypothesis, it is <u>tested if the mean is of 2,463 square feet</u>, that is:

H_0: \mu = 2463

At the alternative hypothesis, it is <u>tested if the mean is smaller</u>, that is:

H_1: \mu < 2463.

We have the <u>standard deviation for the sample</u>, hence, the <em>t-distribution</em> is used to solve this question.

The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • s is the standard deviation of the sample.
  • n is the sample size.

The values of the <em>parameters </em>are: \overline{x} = 1640, \mu = 2463, s = 66, n = 49.

Hence, the value of the <em>test statistic</em> is:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{1640 - 2463}{\frac{66}{\sqrt{49}}}

t = -87.3

To learn more about the t-distribution, you can take a look at brainly.com/question/25819230

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Answer:

Step-by-step explanation:

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