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galina1969 [7]
3 years ago
12

Troy had 44 celery sticks on a tray for his party. He put peanut butter on 25% of the celery sticks. How many celery sticks on t

he tray had peanut butter on them?
Mathematics
1 answer:
GarryVolchara [31]3 years ago
6 0
Hello!

We know that any given percentage can be expressed as a fraction with a denominator of 100, as follows:

\frac{x}{100}

Because we want to find 25% of the celery sticks, we can convert this percentage into the following fraction:

\frac{25}{100} = \frac{1}{4}

Now multiply this reduced fraction by the number of celery sticks:

44 × \frac{1}{4} = \frac{44}{4}

The fraction \frac{44}{4} can be reduced to a value of 11. We have now proven that 11 celery sticks received peanut butter.

I hope this helps!
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Answer:

P(A or B) = 0.291 +0.159 -0.0562=0.3938

Step-by-step explanation:

Previous concepts

The total probability rule is "used to find the probability of an event, A, when you don’t know enough about A’s probabilities to calculate it directly. Instead, you take a related event, B, and use that to calculate the probability for A".

Solution to the problem

The data given:

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                                       Intoxicated                       Not intoxicated     Total          

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Total                                     259                                      630                889

The rows on this case are associated to the tyep of Driver.

Let's define the following events:

A =Pedestrian was intoxicated

B= Driver was intoxicated

And we can find the probabilities for the events A and B like this with the info given:

P(A) = \frac{50+209}{889}=0.291

P(B) = \frac{50+91}{889}=0.159

We can find also the probaility that pedestrian was intoxicated AND driver was ​intoxicated, like this:

P(A and B) = \frac{50}{889}=0.0562

Because the intersection for the events A and B is 50 and the grand total is 889.

Now we can use the total rule of probability given by this:

P(A or B) = P(A) +P(B) -P(A and B)

And since w ehave everything to replace we got:

P(A or B) = 0.291 +0.159 -0.0562=0.3938

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