if the coordinate of one end of a diameter of the circle having equation x^2+y^2+4x-6y+8=0 is (0,2) then find the coordinate of
the other end of the diameter
1 answer:
Answer: (-4, 4)
<u>Step-by-step explanation:</u>
Given: x² + 4x + y² - 6y = -8
Complete the square: x² + 4x <u>+ 4</u> + y² - 6y <u>+ 9</u> = -8 <u>+ 4</u> <u>+ 9</u>
→ (x + 2)² + (y - 3)² = 5
Center: (-2, 3)
Since one end point of the circle is (0, 2) and the other end point must pass through endpoint (0, 2) and the center (-2, 3), find the slope ...
m = down 1 and right 2
The other endpoint will be: UP 1 and LEFT 2 from the center
→ (-2 <u>- 2</u>, 3 <u>+ 1</u>) = (-4, 4)
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Answer:
The probability that there are 3 or less errors in 100 pages is 0.648.
Step-by-step explanation:
In the information supplied in the question it is mentioned that the errors in a textbook follow a Poisson distribution.
For the given Poisson distribution the mean is p = 0.03 errors per page.
We have to find the probability that there are three or less errors in n = 100 pages.
Let us denote the number of errors in the book by the variable x.
Since there are on an average 0.03 errors per page we can say that
the expected value is, = E(x)
= n × p
= 100 × 0.03
= 3
Therefore the we find the probability that there are 3 or less errors on the page as
P( X ≤ 3) = P(X = 0) + P(X = 1) + P(X=2) + P(X=3)
Using the formula for Poisson distribution for P(x = X ) =
Therefore P( X ≤ 3) =
= 0.05 + 0.15 + 0.224 + 0.224
= 0.648
The probability that there are 3 or less errors in 100 pages is 0.648.
Answer:
Step-by-step explanation:
Hope this helps