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3 years ago

Collin did the work to see if 10 is a solution to the equation r/4=2.5

Mathematics

1 answer:

Natasha2012 [34]3 years ago

3 0

Answer:

Yes, because if you substitute 10 for r in the equation and simplify, you find that the equation is true.

Step-by-step explanation:

$\frac{r}{4} = 2.5 \\ lhs = \frac{r}{4} \\ = \frac{10}{4} \\ = 2.5 \\ = rhs \\ \therefore \: \frac{r}{4} = 2.5 \\$

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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

Which of the following statements correctly illustrate the addition property of equality?

liubo4ka [24]

Answer:

x - y + z = 8

2x +3y -z= -2

3x - 2y -9z = 9

Step-by-step explanation:

[1 - 1 1 8]

[2 3 -1 -2]

[3 -2 -9 9]

4 0

2 years ago

Can someone good with math help out ?

Finger [1]

Sry i suck in math brother

6 0

3 years ago

What is the value of x in <br> 150-35x=45

Annette [7]

Your answer is x = 3 because if you take 150 and subtract it by both sides:
150 - 35x = 45
-150 -150

you have to cross out both 150 and -150, take 45 and subtract 150 which will give you -105.
-35x = -105

take -35 and divide by both sides. Cross out the two -35's. Take -105/-35 which your answer is x = 3. Hopes this helps. :)

~Shadow

7 0

3 years ago

Use Natural Logarithms to solve the equation

Rus_ich [418]

Answer:

A) 0.106

Step-by-step explanation:

8e^3x + 4 = 15

Subtract 4 from each side

8e^3x + 4-4 = 15-4

8e^3x = 11

Divide each side by 8

8/8e^3x = 11/8

e^(3x) = 11/8

Take the natural log of each side

ln(e^(3x)) = ln(11/8)

3x = ln(11/8)

Divide by 3

3x/3 = 1/3 ln(11/8)

x = 1/3 ln(11/8)

x =.106151244

To the nearest thousandth

x = .106

7 0

3 years ago