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Kryger [21]
4 years ago
10

Which Is the equation of a circle with a radius of 2 and it's center at (-4,3)?

Mathematics
1 answer:
harina [27]4 years ago
3 0

(x - xc)² + (y - yc)² = r²

Where xc and yc are center coordinates

(x - (-4))² + (y - 3)² = 2²

(x + 4)^2 + (y - 3)^2 = 4

x² + 2.x.4 + 4² + y² - 2.y.3 + 3² = 4

x² + 8x + 16 + y² - 6y + 9 = 4

x² + y² + 8x - 6y + 25 - 4 = 0

x² + y² + 8x - 6y + 21 = 0

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Suppose that only 65% of all drivers in a certain state wear a seat belt. a random sample of 80 drivers is selected. what is the
jonny [76]

Answer:

Pr(X >42) = Pr( Z > -2.344)

                = Pr( Z< 2.344) = 0.9905

Step-by-step explanation:

The scenario presented can be modeled by a binomial model;

The probability of success is, p = 0.65

There are n = 80 independent trials

Let X denote the number of drivers that wear a seat belt, then we are to find the probability that X is greater than 42;

Pr(X > 42)

In this case we can use the normal approximation to the binomial model;

mu = n*p = 80(0.65) = 52

sigma^2 = n*p*(1-p) = 18.2

Pr(X >42) = Pr( Z > -2.344)

                = Pr( Z< 2.344) = 0.9905

7 0
3 years ago
4.(03.01)<br> Is the following relation a function? (1 point)<br><br><br> A: Yes<br> B: No
Vladimir [108]

Answer:

A

Step-by-step explanation:

X can only have 1 input buy Y can have many

8 0
3 years ago
Which of these sets consists entirely of composite numbers?
AfilCa [17]
That would be 6,12,18,24,30
5 0
3 years ago
What is the value of x
andreyandreev [35.5K]

Answer:

The answer would be 7

36/6=6

so it would be

42/x=6

x=7

7 0
2 years ago
The result of dividing two number is the __________________.
pantera1 [17]

Answer: Quotient

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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