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adelina 88 [10]
3 years ago
12

What is an equation of a circle whose center is (1,4) and diameter is 10?

Mathematics
1 answer:
nexus9112 [7]3 years ago
6 0

Answer:

x^{2}  - 2x + y^{2} - 8y = 8

Step-by-step explanation:

Standard form for a circle is:

(x - h)^{2} + (y - k)^{2}  = r^{2}      (h, k) is the center    r is the radius

(x - 1)^{2} + (y - 4)^{2}  = 5^{2} \\x^{2}  - 2x + 1 +y^{2} - 8y + 16 = 25\\x^{2}  - 2x + y^{2} - 8y = 8x^{2}  - 2x + y^{2} - 8y = 8

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Which one of these is not congruent to angle 5?
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Answer:

Step-by-step explanation:

The answer is 1 and 3

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3 years ago
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that th
IgorLugansk [536]

Answer:

a) 0.32 = 32% probability that your bid will be accepted

b) 0.72 = 72% probability that your bid will be accepted

c) An amount in excess of $15,400.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,400 and $15,400.

This means that a = 10400, b = 15400

a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?

You will win if the competitor bids less than 12000. So

P(X \leq 12000) = \frac{12000 - 10400}{15400 - 10400} = 0.32

0.32 = 32% probability that your bid will be accepted

b. Suppose you bid $14,000. What is the probability that your bid will be accepted?

You will win if the competitor bids less than 14000. So

P(X \leq 14000) = \frac{14000 - 10400}{15400 - 10400} = 0.72

0.72 = 72% probability that your bid will be accepted

c. What amount should you bid to maximize the probability that you get the property (in dollars)?

His bid is uniformly distributed between $10,400 and $15,400.

So, to maximize the probability that you get the property, you should bid an amount in excess of $15,400.

6 0
3 years ago
Given the conditional statement "If it is January, then it is winter in the United States," which is true?
vova2212 [387]
The best and most correct answer among the choices provided by your question is the first choice or letter A.

The conditional statement "If it is January, then it is winter in the United States," is converse of the conditional. 

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
8 0
3 years ago
Find the 14th term of the geometric sequence 5 -10 20
Anna [14]

Answer:

  a14 = -40,960

Step-by-step explanation:

The sequence has a first term of 5 and a common ratio of -10/5 = -2, so the n-th term is given by ...

  an = a1·r^(n-1)

  an = 5·(-2)^(n-1)

The 14th term is then ...

  a14 = 5·(-2)^(14-1) = -5·2^13 = -5·8192

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