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jonny [76]
3 years ago
11

Suppose you roll two six-sided dice, one red and one blue. Each is labeled 1 through 6. What is the probability that you roll a

two on the blue dye and the sum of both dice is greater than 4
Mathematics
1 answer:
viva [34]3 years ago
4 0
<h3>Answer:  1/9</h3>

Work Shown:

If the blue die shows a "2", then the red die must take on the values from the set {3, 4, 5, 6} in order for the sum of both dice to be larger than 4.

2+3 = 5

2+4 = 6

2+5 = 7

2+6 = 8

There are 6*6 = 36 total ways to roll two dice and exactly 4 ways to get the conditions stated above. The probability of getting a sum greater than 4 is 4/36 = 1/9.

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What is the correct justification for the indicated steps?
kondaur [170]

Answer:

Step C: distributive property

Step D: Tringonometric Sum Identity

Step E: Factoring

Step-by-step explanation:

7 0
3 years ago
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According to the 2008 U.S. census, California had a population of approximately 4 × 10^7 people and Florida had a population of
KIM [24]

Answer:

A. The population of California was approximately two times the population of Florida.

Step-by-step explanation:

According to the 2008 U.S. census, population of Florida = 2 × 10^{7}

Population of California = 4 × 10^{7}

= 2 × 2 × 10^{7}

= 2 × population of Florida

Hence, the population of California was approximately two times the population of Florida and the correct option is A.


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3 years ago
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Sara is a big hip-hop music fan. Her friend Matt is a big rap music fan. They each have a huge library of songs in their digital
Orlov [11]

The critical value is 1.99 and the null hypotheses is μ - μ₂ = 0 and alternative hypotheses for this test is μ - μ₂ ≠ 0.

According to the statement

we have given that the sample of songs is 50. and the average of hip hop is μ₂.

For this purpose, we know that the

Sara and matt would like to know if the average length of the hip hop songs say μ₁ differ from the average of the hip hop songs say μ₂. It means μ₁ ≠ μ₂.

so, The null and alternative hypothesis value are:

H(null) = μ - μ₂ = 0 And

H (alternative) = μ - μ₂ ≠ 0.

From this it is clear that the this the value of hypothesis.

So,

Now, Let the degree of freedom be a x.

Then

At \alpha = 0.05 then the value of k is 80,.

Then the critical value is

t = (\frac{\alpha }{2} , k) = 1.99

Here the critical vale is 1.99.

So, The critical value is 1.99 and the null hypotheses is μ - μ₂ = 0 and alternative hypotheses for this test is μ - μ₂ ≠ 0.

Learn more about null and alternative hypothesis here

brainly.com/question/15980493

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Sara is a big hip-hop music fan. Her friend Matt is a big rap music fan. They each have a huge library of songs in their digital music libraries. They each randomly sample 50 songs from their libraries and record the lengths of the songs selected. The average of the selected hip hop songs was *, - 245 seconds with a sample standard deviation of 5 seconds. The average of the selected rap songs was X - 275 seconds with a sample standard deviation of 6 seconds. They would like to know if the average length of hip-hop songs is different than the average length of rap songs. (a) What are the appropriate null and alternative hypotheses for this test? (b) Assume for purposes of this study, the degrees of freedom are 80. At a 5% significance level, what is the critical value for the test?

#SPJ4

8 0
2 years ago
Classify the following triangle. Check all that apply.
victus00 [196]
I am pretty sure that the triangle is a right isosceles triangle. I am sorry if this answer is not correct, no one is perfect.
5 0
3 years ago
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NEED IT NOW
DaniilM [7]

Answer:

Mia is correct.

Step-by-step explanation:

You can see this if you write 5/11 in a calculator, you get 0.454545454545 infinitely. In other cases, you would write it like Malik said if the answer were to be 0.455555555, but it isn't.

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3 years ago
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