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Soloha48 [4]
3 years ago
5

Answer this by 4:20 EST and I will mark brainliest

Mathematics
1 answer:
Alexxandr [17]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )

m = \frac{-4-a}{9-6} = \frac{-4-a}{3}

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

2x - 3y = 6 ( subtract 2x from both sides )

- 3y = - 2x + 6 ( divide through by - 3 )

y = \frac{2}{3} x - 2 ← in slope- intercept form

with slope m = \frac{2}{3}

Parallel lines have equal slopes , then

\frac{-4-a}{3} = \frac{2}{3} , so

- 4 - a = 2 ( add 4 to both sides )

-a = 6 ( multiply both sides by - 1 )

a = - 6 → A

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Answer:

  x = 1

Step-by-step explanation:

Subtract the right side of the equation and simplify:

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Substitute the value of x where x is found in the equation.

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Step-by-step explanation:

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A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics e
Elodia [21]

Answer:

The critical value for this hypothesis test is 6.571.

Step-by-step explanation:

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The hypothesis to determine whether the population variance is less than 25.0 minutes or not, is:

<em>H</em>₀: The population variance is not less than 25.0 minutes, i.e. <em>σ²</em> = 25.

<em>Hₐ</em>: The population variance is less than 25.0 minutes, i.e. <em>σ²</em> < 25.

The test statistics is:

\chi ^{2}_{cal.}=\frac{ns^{2}}{\sigma^{2}}

The decision rule is:

If the calculated value of the test statistic is less than the critical value, \chi^{2}_{n-1} then the null hypothesis will be rejected.

Compute the critical value as follows:

\chi^{2}_{(1-\alpha), (n-1)}=\chi^{2}_{(1-0.05),(15-1)}=\chi^{2}_{0.95, 14}=6.571

*Use a chi-square table.

Thus, the critical value for this hypothesis test is 6.571.

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