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Yakvenalex [24]
2 years ago
15

The slope and a point on a line are given. Use the information to locate three additional points on the line.

Mathematics
2 answers:
Vsevolod [243]2 years ago
8 0
C is the right answer , the equation of the line y=-4x-7
TiliK225 [7]2 years ago
6 0

Answer:

C

Step-by-step explanation:

the typical form of line equation is

y = ax + b

a = the slope of the line (expressed as y/x ratio telling us how many units y changes when x changes a certain number of units).

b = the intercept on the y-axis (when x = 0).

we know, a = -4

and we use the point (x = -2, y = 1) to get b

y = -4x + b

1 = -4×-2 + b = 8 + b

b = -7

=>

y = -4x - 7

only the points of option C are all fulfilling this equation.

e.g. x = 0, y = -7

-7 = -4×0 - 7 = -7, true, -7 = -7

and so on.

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Answer:

1) \chi^2 = \frac{(30-25)^2}{25} +\frac{(20-25)^2}{25} =1 +1 =2

2) df = c-1 = 2-1

Where c represent the number of categories c=2

Step-by-step explanation:

Previous concepts

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Assume the following dataset:

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We need to conduct a chi square test in order to check the following hypothesis:

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H1: The deviations from a 1:1 ratio (25 tall and 25 short) are NOT due to chance.

Part 1

So then we know that the expected values would be 25 for each case

The statistic to check the hypothesis is given by:

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And if we replace we got:

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Part 2

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And we can calculate the p value given by:

p_v = P(\chi^2_{1} >2)=0.157

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(2,1,TRUE)"

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