Events:
1 ≤ n ≤ 100
A=x is a perfect square, i.e. x=n^2
B=x is odd, i.e. n is odd
P(A|B)
=P(A∩B)/P(B) by definition of conditional probability
(reads Probability that the number is a perfect square given that it is odd)
Since there are 10 perfect squares between 1 to 100 (1,4,9,16,25,36,49,64,81,100), out of which 5 are odd {1,9,25,49,81)
So P(A∩B)=5/100
P(B)=probability of odd x {1,3,5,7,.....95,97,99}
= 50/100=1/2
Therefore
P(A|B)=(5/100)/(1/2)=1/10
6 repeating so the answer would be 31.666666..... or round it up 31.666666667
1X6+21=27
6X10+21=81
There u go hope this helped
The slope is 0.
The formula to find the slope is y2-y1 over x2-x1. If you plug in your numbers, you should have 5-5 over 9-10. Subtract this and you will get your slope!
circle:
x2+ y2 = 2
parabola:
y = 2x2 – 3
The standard form of equation of circle is:
( x – h )^2 + ( y – k )^2 = r^2
We are given the equation x^2 + y^2 = 2.
Where h and k are the x and y coordinates of the center.
Basing on the standard equation, the center is at (0 , 0) and r = 
The standard form of equation of parabola with the axis of
symmetry parallel to the y-axis is:
(x - h)^2 = 4p (y - k)
Rearranging the given equation into this form:
x^2 = (½) y + 3/2
x^2 = ½ (y + 3)
Since 4p is positive value, therefore the
parabola is opening up. The vertex is located at (0 , -3).
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Answer: circle with its
center at (0, 0) and a radius of </span>
; parabola opening up with its vertex
at (0, –3)
