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AURORKA [14]
3 years ago
7

Elizabeth brought a box of donuts to share. There are​ two-dozen (24) donuts in the​ box, all identical in​ size, shape, and col

or. Two are​ jelly-filled, 5 are​ lemon-filled, and 17 are​ custard-filled. You randomly select one​ donut, eat​ it, and select another donut. Find the probability of selecting a jelly​-filled donut followed by a custard​-filled donut.
Mathematics
1 answer:
pochemuha3 years ago
4 0

Answer:

The probability is 6.16%.

Step-by-step explanation:

Total number of donuts = 24

Number of jelly filled donuts = 2

Number of lemon filled donuts = 5

Number of custard filled donuts = 17

The probability of selecting a jelly​-filled donut = \frac{2}{24} = 0.0833

And probability followed by custard​-filled donut = \frac{17}{23} = 0.7391 (23 because you ate 1 donut already)

Hence, the required probability is :

0.0833\times0.7391=0.0615 or 6.156% ≈ 6.16%

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<h2>Greetings!</h2><h3>To find the first probability, you first find the amount of $10 bills and the total amount. Then you can put this into a fraction:</h3>

\frac{2}{9}

<h3>Now, do the same but for the total amount, be sure to remove 1 because you have not returned the first one picked. Now find the amount of $1 bills too:</h3>

\frac{3}{8}

<h3>Now you have two fractions of two consecutive events, now just simply multiply the two together:</h3>

\frac{2}{9} x \frac{3}{8} = \frac{6}{72}

<h3>Now as both numbers are factors of 6, both can be divided by 6 to get a simplified probability:</h3>

\frac{6}{72} ÷ 6 = \frac{1}{12}

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<h2>Hope this helps!</h2>
5 0
3 years ago
A group of friends has gotten very competitive with their board game nights. They have found that overall, they each have won an
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The standard deviation is  4 games

A standard deviation (or σ) is a measure of how dispersed the facts are in relation to the mean. Low general deviation method statistics are clustered around the imply, and excessive trendy deviation indicates facts are more unfold.

Don't forget the statistics set: 2, 1, 3, 2, four. The mean and the sum of squares of deviations of the observations from the mean will be 2. 4 and 5.2, respectively. as a consequence, the same standard deviation could be √(5.2/5) = 1.01.

In data, the same old deviation is a degree of the quantity of variant or dispersion of a set of values. A low preferred deviation indicates that the values tend to be close to the mean of the set, while a high general deviation shows that the values unfold out over a much broader variety.

Given that,

mean = μ = 18

standard deviation = Σ =  6

n = 2

μ  x =  μ = 18 games

√  x = Σ / √ = 6  

√2 = 4 games

Learn  more about standard deviation here brainly.com/question/12402189

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6 0
2 years ago
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To change y+2 = 3(x-2) into that form, do:

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5 0
4 years ago
A study reveals that 65% of homeowners in Omaha own a lawn mower. To test this claim, you form a sample of 500 homeowners in Oma
kotegsom [21]

Answer:

There is no enough evidence to reject the claim using a level of significance of 5%

Step-by-step explanation:

Let p be the true proportion of homeowners in Omaha who own a lawnmower. We want to test  

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We have a large sample of size n = 500 and a point estimate for p is \hat{p}=0.68. The test statistic is given by

Z=\frac{\hat{p}-p_{0}}{\sqrt{p_{0}(1-p_{0})/n}}=\frac{0.68-0.65}{\sqrt{0.65(1-0.65)/500}} where \sqrt{0.65(1-0.65)/500} is the standard error of \hat{p} when H_{0} is true. The observed value is z_{0} = 1.4064 which comes from a standard normal distribution. Because we want to use a level of significance of 5%, our rejection region is RR={z | z < -1.96 or z > 1.96} where -1.96 and 1.96 are the 2.5th and 97.5th quantiles respectively. Because 1.4064 does not belong to RR, we fail to reject the null hypothesis.

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3 years ago
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64cm2 but make the number two small and in the corner of the m
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