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4 years ago

A 6 sided number cube is tossed. what is the probability of rolling a 6 or an odd number?

1 answer:

3 0

For any probability the formula is $P_{desired}=\frac{desired}{total}$ . In this case we have 4 desired outcomes (the odds, 1, 3 and 5, and also 6) out of 6 total sides, so our probability $P_{oddor6} =\frac{odd or 6}{total sides}=\frac{4}{6} = \frac{2}{3}$ .

Mutually exclusive means the events cant occur at the same time. In our case it is not possible to roll both a 6 and an odd number at the same time since 6 is even. Therefore the events ARE mutually exclusive.

Combine the two parts and C is the correct answer.

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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

Solve for L. P = 2L + 2W L = 2/(P - W) L = 2(W - 2P) L = (P - 2W)/2

yanalaym [24]

Answer:

L = (P - 2W)/2

Step-by-step explanation:

This is the formula for perimeter

P = 2L + 2W

Sustract 2W on both sides:

P-2W= 2L

Divide both sides by 2:

(P-2W)/2 = L

L= (P-2W)/2

6 0

3 years ago

Charles is 45 years old, and makes $40,000 per year. If he were to die, how

AleksandrR [38]

Answer:

Oh, how morbid these interest problems are.

Are you asking how much they would recieve in a year?

If so:

40000/100=400

400*60=$24000 a year

4 0

4 years ago

Read 2 more answers

1. Simplify. (343)1/3

elena-s [515]

1) 343/32 or 10.71875 or 10 23/32
2)-8
3)7

8 0

3 years ago

Is 3x+15=3(x+5) a infinite solution one solution or no solution

aniked [119]

Answer:

Step-by-step explanation:it is infinite solution because 15 is equal to 15 if it was like 15=13 it is no solution

7 0

3 years ago

Read 2 more answers