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3 years ago

The equation of a circle is given below.

Mathematics

1 answer:

alisha [4.7K]3 years ago

4 0

Coordinates of center and radius of circle is $(h,k)=(13.40,-2.60)\\r=10$ .

<u>Step-by-step explanation:</u>

Here we have , The equation of a circle is given below.

(2 – 13.4)2 + (y + 2.6)2 = 100 or , $(x -13.4)^2 + (y + 2.6)^2 = 100$

We know that , Equation of circle is given by :

⇒ $(x-h)^+(y-k)^2 =r^2$ ...........(1)

where (h,k) are the coordinates of center of circle and r is the radius of circle . Let's simplify given equation of circle in question ;

⇒ $(x -13.4)^2 + (y + 2.6)^2 = 100$

⇒ $(x -(13.4))^2 + (y - (-2.6))^2 = 100$

⇒ $(x -(13.4))^2 + (y - (-2.6))^2 = 10^2$

Comparing this equation to (1) we get :

$(h,k)=(13.40,-2.60)\\r=10$

Therefore , Coordinates of center and radius of circle is $(h,k)=(13.40,-2.60)\\r=10$ .

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Angle Side Angle Theorem (ASA)

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3 years ago

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Here is your answer

$12.5 pounds$

REASON:

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So,

Pounds of peanut each jar contains= Total weight/No. of jars

= 62.5/5 pounds

= 12.5 pounds (in each jar)

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3 years ago

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Answer:

2x=16

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Step-by-step explanation:

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3 0

3 years ago

Read 2 more answers

Another way to write 300 + 70 + 5/10 + 8/100

Alja [10]

Answer:

A. 370.58

Step-by-step explanation:

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8 0

2 years ago

Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if:a) a

lara31 [8.8K]

Answer:

A) 0.0009765625

B) 0.0060466176

C) 2.7756 x 10^(-17)

Step-by-step explanation:

A) This problem follows a binomial distribution. The number of successes among a fixed number of trials is; n = 10

If a 0 bit and 1 bit are equally likely, then the probability to select in 1 bit is; p = 1/2 = 0.5

Now the definition of binomial probability is given by;

P(K = x) = C(n, k)•p^(k)•(1 - p)^(n - k)

Now, we want the definition of this probability at k = 10.

Thus;

P(x = 10) = C(10,10)•0.5^(10)•(1 - 0.5)^(10 - 10)

P(x = 10) = 0.0009765625

B) here we are given that p = 0.6 while n remains 10 and k = 10

Thus;

P(x = 10) = C(10,10)•0.6^(10)•(1 - 0.6)^(10 - 10)

P(x=10) = 0.0060466176

C) we are given that;

P((x_i) = 1) = 1/(2^(i))

Where i = 1,2,3.....,n

Now, the probability for the different bits is independent, so we can use multiplication rule for independent events which gives;

P(x = 10) = P((x_1) = 1)•P((x_2) = 1)•P((x_3) = 1)••P((x_4) = 1)•P((x_5) = 1)•P((x_6) = 1)•P((x_7) = 1)•P((x_8) = 1)•P((x_9) = 1)•P((x_10) = 1)

This gives;

P(x = 10) = [1/(2^(1))]•[1/(2^(2))]•[1/(2^(3))]•[1/(2^(4))]....•[1/(2^(10))]

This gives;

P(x = 10) = [1/(2^(55))]

P(x = 10) = 2.7756 x 10^(-17)

3 0

3 years ago