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andreyandreev [35.5K]
3 years ago
9

Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not draw

n to scale.

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
8 0

Answer:

x=25

Step-by-step explanation:

we know that

In this problem

The value of x represent the radius of the circle

so

Applying the Pythagoras theorem in the right triangle of the figure, you can find the radius of the circle O

see the attached figure to better understand the problem

x^{2} =20^{2}+15^{2}

x^{2} =400+225

x^{2} =625

square root both sides

x=25

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3 years ago
1) A family consisting of three persons—A, B, and C—goes to a medical clinic that always has a doctor at each of stations 1, 2,
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Answer:

Step-by-step explanation:

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I am attaching a table containing total outcomes. Outcomes are presented along rows while the assigned station to each member is written along columns. For ease of understanding, 1 3 2 in the table should be interpreted as family member A being assigned to station 1, member B to station 3 and member C to station number 2, respectively.

From table it is clear that the total outcomes possible are 27.

We know that, probability can be defined as,

PROBABITILY = \frac{NUMBER\;OF\;DESIRED\;OUTCOMES}{TOTAL\;NUMBER\;OF\;OUTCOMES}

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[1 1 1], [2 2 2], [3 3 3] (outcome number 1, 14 and 27 in the table).

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PROBABILITY\;(Case\;a) = \frac{3}{27}\\\\PROBABILITY\;(Case\;a) = 0.111

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It means that maximum of 2 members can have the same station. Cases for this situation are as follows:

[1 1 2], [1 1 3], [1 2 1], [1 2 2], [1 3 1], [1 3 3], [2 1 1], [2 1 2], [2 2 1], [2 2 3], [2 3 2],

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c) All Members Assigned to a Different Station.

For this scenario, we have the following results:

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Therefore,

PROBABILITY\;(Case\;c) = \frac{6}{27}\\\\PROBABILITY\;(Case\;c) = 0.222

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3 years ago
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