The standard form of the equation of a circle of radius r, with (assuming centre h, k) is given as:
(X-h)^2 + (y-k)^2 = r^2
As we are required to write an equation in standard form for the circle with radius 9 centred at the origin.
Centre(h,k)=(0,0), r=9
Substituting these values into the standard form of the equation of a circle given above:
(X-0)^2 + (y-0)^2 = 9^2
X^2 + y^2 =81
The standard form is x^2 + y^2 =81
I’m pretty sure this is right
Let
A = event that the student is on the honor roll
B = event that the student has a part-time job
C = event that the student is on the honor roll and has a part-time job
We are given
P(A) = 0.40
P(B) = 0.60
P(C) = 0.22
note: P(C) = P(A and B)
We want to find out P(A|B) which is "the probability of getting event A given that we know event B is true". This is a conditional probability
P(A|B) = [P(A and B)]/P(B)
P(A|B) = P(C)/P(B)
P(A|B) = 0.22/0.6
P(A|B) = 0.3667 which is approximate
Convert this to a percentage to get roughly 36.67% and this rounds to 37%
Final Answer: 37%
The other number if the average of two numbers is 41 and one is 27 is 55
<h3>How to calculate the average of numbers?</h3>
Average of number is also known as the mean.
Let the unknown number be "x" such that:
x +27/2 = 41
Determine the value of x
x + 27 = 2(41)
x + 27 = 82
x = 82 - 27
x = 55
Hence the other number if the average of two numbers is 41 and one is 27 is 55
Learn more on average here: brainly.com/question/25965491
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4x4x4=64. Hope that helps
It is 54 because you have to do 9 multipied by 6 because a hexagon has 6 sides therefore it is 54
