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jarptica [38.1K]
2 years ago
8

Find P(C|Y) from the information in the table. A 5-column table has 4 rows. The first column has entries A, B, C, Total. The sec

ond column is labeled X with entries 32, 6, 18, 56. The third column is labeled Y with entries 10, 5, 15, 30. The fourth column is labeled Z with entries 28, 25, 7, 60. The fifth column is labeled Total with entries 70, 36, 40, 146. To the nearest tenth, what is the value of P(C|Y)? 0. 4 0. 5 0. 7 0. 8.
Mathematics
1 answer:
Monica [59]2 years ago
8 0

The probability is the ratio of the favorable event to the total number of events. The P(C|Y) is 0.5. Then the correct option is B.

<h3>What is probability?</h3>

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

According to the problem, the table is made

                          X               Y               Z               Total

  A                    32              10             28                 70

  B                     6                5              25                 36

  C                    18               15              7                   40

Total                 56              30             60                146

Then the probability of will be

\rm P(C|Y) = \dfrac{15}{30}\\\\P(C|Y) = 0.5

The P(C|Y) is 0.5. Then the correct option is B.

More about the probability link is given below.

brainly.com/question/795909

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A(t) = 300 -260e^(-t/50)

Step-by-step explanation:

The rate of change of A(t) is ...

A'(t) = 6 -6/300·A(t)

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A'(t) +(1/50)A(t) = 6

This has solution ...

A(t) = p + qe^-(t/50)

We need to find the values of p and q. Using the differential equation, we ahve ...

A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50

0 = 6 -p/50

p = 300

From the initial condition, ...

A(0) = 300 +q = 40

q = -260

So, the complete solution is ...

A(t) = 300 -260e^(-t/50)

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The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.

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Step-by-step explanation:

Let the number of orange jelly beans be x , as we do not know the exact value of it yet. There are 12 times as many green jelly beans than the orange ones. So , if the number of orange jelly beans is x , the number of green jelly beans will be = 12 times x , which can be written as 12x. Now there are a total of 1872 jelly beans , but they are either orange or green , so we already know that the number of orange jbs is x , and the number of green jelly beans is 12x. So if we the green jelly beans and orange jelly beans , it should be 1872.

Now all we need to do is to find x.

We know that ,

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Now we add x and 12x on the left hand side

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Now we divide both sides by 13 to get x. (That includes 1872 as well)

x = 144

Now we have the value of x which is 144

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