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balu736 [363]
3 years ago
5

An urn contains 8 pink and 5 red balls. Six balls arerandomly drawn from the urn in succession, with replacement.That is, after

each draw, the selected ball is returned to the urn.What is the probability that all 6 balls drawn from the urn are pink?Round your answer to three decimal places.
Mathematics
1 answer:
slega [8]3 years ago
6 0

0.088

Step-by-step explanation:

The total number of balls in the urn is;

8 +  5 = 12

Because the pink balls are 8, then the probability of picking a pink ball from the urn is;

8/12

To get the probability that all 6 balls drawn from the urn are pink, we will use the AND probability rule of the mutually exclusive events which means we’ll multiply the probabilities of each of the six pink balls;

8/12 * 8/12 * 8/12 * 8/12 * 8/12 * 8/12

= 0.088

Learn More:

For more on probabilities check out;

brainly.com/question/11248705

brainly.com/question/1177537

#LearnWithBrainly

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nadezda [96]
The sample size should be 250.

Our margin of error is 4%, or 0.04.  We use the formula

\text{ME}=z\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}

To find the z-score:
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Subtract from 1:  1-0.98 = 0.02
Divide both sides by 2:  0.02/2 = 0.01
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Using a z-table (http://www.z-table.com) we see that this value has a z-score of approximately 2.33.  Using this, our margin of error and our proportion, we have:

0.04=2.33\sqrt{\frac{0.08(1-0.08)}{n}}
\\
\\0.04=2.33\sqrt{\frac{0.08(0.92)}{n}}

Divide both sides by 2.33:
\frac{0.04}{2.33}=\sqrt{\frac{0.08(0.92)}{n}}

Square both sides:
(\frac{0.04}{2.33})^2=\frac{0.08(0.92)}{n}

Multiply both sides by n:
(\frac{0.04}{2.33})^2n=0.08(0.92)

Divide both sides to isolate n:
\frac{0.08(0.92)}{(\frac{0.04}{2.33})^2}=n
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4 0
3 years ago
What is the answer to this question?
WARRIOR [948]

Answer: Lower right corner

============================================

Explanation:

The information that the temperature rises 3 degrees per hour will tell us the slope here. The slope is rise/run = 3/1 = 3. Each time we move up 3 on the y axis, we move 1 spot to the right.

As you can see in the bottom right hand corner graph, we start off at a temperature of 20 degrees. This is the point (x,y) = (0,20)

Then one hour later (x = 1), the temperature y bumps up to y = 23. Another hour passes by (x = 2) and y becomes y = 26. And so on.

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3 years ago
What is the area of polygon ABCDE?
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Step-by-step explanation

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B

Step-by-step explanation:

side Ac is the opposite of angle B, therefore use the sin ratio to find ac since the hypotenuse is also given

sin B=opposite/hypotenuse

sin 27=ac/15

ac=sin27×15

=6.81

I hope this helps

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3 years ago
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