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AVprozaik [17]
3 years ago
11

The center of a circle represented by the equation (x − 5)2 + (y + 6)2 = 42 is

Mathematics
2 answers:
devlian [24]3 years ago
7 0

we know that

The center-radius form of the circle equation is in the format

(x-h)^{2} +(y-k)^{2} =r^{2}

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem

we have

(x -5)^{2} + (y + 6)^{2} = 4^{2}

where

the center (h,k) is the point (5,-6) and the radius is equal to 4 units

therefore

the answer is

The center of the circle is the point (5,-6)

natali 33 [55]3 years ago
6 0
Center = (5, -6)
.....................
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The answer to your question is b
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Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, w
MrRa [10]

Answer:

19.51% probability that none of them voted in the last election

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

42% of Americans voted in the previous national election.

This means that p = 0.42

Three Americans are randomly selected

This means that n = 3

What is the probability that none of them voted in the last election

This is P(X = 0).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.42)^{0}.(0.58)^{3} = 0.1951

19.51% probability that none of them voted in the last election

6 0
2 years ago
Which of the following lists does not include all the factors of the number?
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3 years ago
Hello, can u help me out please i will give brainlist :)
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Answer:

$5.75

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the amount saved each week is $5.75

6 0
2 years ago
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