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Ne4ueva [31]
3 years ago
10

What is the probability of rolling a die and having it land on a factor of 30?

Mathematics
1 answer:
Daniel [21]3 years ago
8 0

Answer:

So, since there is an equal chance to roll any number on a six sided die, that means the chance of rolling any one number is one out of 6 or 1/6. You can see that with a diagram. Now, rolling two different numbers in a specific order you can tell with a diagram is 1/36.

Step-by-step explanation:

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densk [106]

Answer:

Step-by-step explanation:

5 0
3 years ago
In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were re
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μemployed(μ1) be the sample mean of students who are employed and μnot employed(μ2) be the sample mean of students who are not employed

The random variable is μ1 - μ2 = difference in the mean of the employed and unemployed students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 3.22

μ2 = 3.33

s1 = 0.475

s2 = 0.524

n1 = 172

n2 = 116

t = (3.22 - 3.33)/√(0.475²/172 + 0.524²/116)

t = - 1.81

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.475²/172 + 0.524²/116]²/[(1/172 - 1)(0.475²/172)² + (1/116 - 1)(0.524²/116)²] = 0.00001353363/0.00000005878

df = 230

We would determine the probability value from the t test calculator. It becomes

p value = 0.036

Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.

Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28%20-%203%29%20%7B%7D%5E%7B2%7D%20.%28%20-%203%29%20%20%7B%7D%5E%7B2%7D%20" id="TexFormula1"
liq [111]
The answer is 81. since (-3)^2 is 9. Therefore, 9x9=81.
4 0
2 years ago
Which function does this graph represent: y=x-4;<br> y=-x+4;y=4x-1;y=-4x+1
allochka39001 [22]

The graph represents y=-4x-1

If you notice the line, it goes past the -1 on the y axis which indicates that the y intercept is -1 since that was the only choice which displayed this, we know that our answer is y=-4x-1

5 0
3 years ago
Choices:<br><br> One-sixth cups<br> Five-sixths cups<br> 1 and two-thirds cups<br> 1 and 5 / 6 cups
navik [9.2K]

Answer:

Patel will require more orange juice = \frac{371}{660} cups

Step-by-step explanation:

Patel needs the orange juice for his family = 3 cups

He needs more orange juice = 3 cups - Sum of juice squeezed from different oranges

=3-(\frac{13}{15}+\frac{1}{5}+\frac{9}{20}+\frac{5}{11}+\frac{7}{15})

L.C.M. of the denominators = 660

=3-\frac{572+132+297+300+308}{660}

=3-\frac{1609}{660}

= \frac{1980-1609}{660}

= \frac{371}{660}

Therefore, amount of orange juice required more = \frac{371}{660} cups

3 0
3 years ago
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