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2 years ago

The lines given by the equations y=4x and y=0.25x are

Mathematics

1 answer:

d1i1m1o1n [39]2 years ago

6 0

They are not parallel because the slopes are different (slope of 4 and slope of 0.25)

Neither are they perpendicular. If they were then m1*m2 ( the product of their slopes) would be -1 ). The product of these slopes = 4*0.25 = 1)

So choice A is the correct one.

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A sphere has a radius r=12 inches. What is it’s approximate volume

alexandr402 [8]

Answer: 7238.28

Step-by-step explanation:

7 0

3 years ago

Test the claim that the mean GPA of night students is larger than 3.1 at the .10 significance level. The null and alternative hy

Alborosie

Answer:

H 0 : μ = 3.1 H 1 : μ > 3.1

And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.

$t = \frac{3.13-3.1}{\frac{0.03}{\sqrt{75}}}= 8.66$

$df = n-1=75-1 =74$

The p value is:

$p_v = P(t_{74} >8.66) =3.65x10^{-13}$

The significance level is: 0.1 or 10%

And since the p value is very low compared to the significance level we have enough evidence to:

Reject the null hypothesis

Step-by-step explanation:

For this case we want to test the claim that mean GPA of night students is larger than 3.1 at the .10 significance level. The claim needs to be on the alternative hypothesis so then we have the following system of hypothesis:

H 0 : μ = 3.1 H 1 : μ > 3.1

And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.

We have the following info given:

$\bar X = 3.13 , s =0.03 , n =75$

The statistic to check the hypothesis is given by:

$t = \frac{\bar X -\mu}{\frac{s}{\sqrt{n}}}$

Replacing the info given we got:

$t = \frac{3.13-3.1}{\frac{0.03}{\sqrt{75}}}= 8.66$

The degrees of freedom are given by:

$df = n-1=75-1 =74$

The p value since is a right tailed ted is given by:

$p_v = P(t_{74} >8.66) =3.65x10^{-13}$

The significance level is 0.1 or 10%

And since the p value is very low compared to the significance level we have enough evidence to:

Reject the null hypothesis

6 0

3 years ago

A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test

SSSSS [86.1K]

A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test statistic for this test is a "F-statistics."

<h3>What is F-statistics?</h3>

An F statistic is a value obtained after performing an ANOVA test or even a regression analysis to determine whether the means of two populations differ significantly.

Some key features regarding the F-statistics are-

It is comparable to a T statistic from the a T-Test; a T-test would then inform you when a single result is statistically significant, whereas a F test would then tell you if a set of variables is statistically significant.
When determining whether your total results are significant, you must use the F statistic in conjunction with the p value. Why?
A significant result does not imply that all of your variables have been significant.
The statistic is simply comparing the cumulative influence of all the variables.

To know more about the F-statistics, here

brainly.com/question/17256783

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3 0

1 year ago

What is an equation of the line that passes through the points (0, -4) and (-4, 6)?

victus00 [196]

Answer: y=-5/2x-4

Step-by-step explanation: Use the slope formula and slope-intercept form y=mx+b to find the equation.

Hope this helps you out! ☺

5 0

3 years ago