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KiRa [710]
2 years ago
6

which of the following correctly gives the center and radius of the circle defined by the equation (z-7)^2 = 10?

Mathematics
1 answer:
ANEK [815]2 years ago
5 0

Answer:

Center (7,2); Radius - Square Root of 10

Step-by-step explanation:

Equation for a Cricle:

(x−h)^2 + (y−k)^2 = r^2

Where:

h = x-coordinate of the center of the circle

k = y-coordinate of the center of the circle

r = radius of the circle

For this problem, your h = 7, k = 2, and r = square root of 10

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In 68229 ways can the quiz be selected such that there is atleast three multiple choice questions

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Number of True or false questions= 10

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Combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.  

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So, we may have

(3 Multiple choice question and 2 true or false question) or

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Required Number of ways = (20C3 X10C2) +(20C4 X10C1) + (20C5 X10C0)

Required Number of ways =(\frac{20!}{20!(20-3)!}\times\frac{10!}{10!(10-2)!})+(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-1)!}) +(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-0)!})

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Required Number of ways = 47880+48450+15504

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