Answer:
4/9 or 0.4
Step-by-step explanation:
<u>Given</u>:
Given that the circle is graphed with center (-1,1)
We need to determine the equation of the circle.
<u>Radius</u>:
To determine the radius of the circle, let us simply count the number of units between the center point to any point on the circle.
Hence, from the figure, it is obvious that there are 5 units between the center and any point on the circle.
Thus, radius of the circle is 5 units.
<u>Equation of the circle:</u>
The standard form for the equation of the circle is given by

where the center is (h,k) and radius is r.
Substituting the center (-1,1) and r = 5 in the above formula, we get;


Thus, the equation of the circle is 
Answer: 200
Step-by-step explanation:
Number of numbers counted by Alex;
= 2,400 / 6
= 400
Number of numbers counted by Matthew;
= 2,400/4
= 600
Numbers that both of them counted = 600 - 400
= 200
We can find the number of extra clubs in the deck from the given probability, since the probability of drawing a diamond and a club is

but this would imply that

, which suggests we're taking 4 clubs out of the original deck and contradicts the problem statement that there are "too many clubs".
Perhaps the question is providing the probability of drawing a diamond, THEN a club, or vice versa. In that case, we have

and solving gives

, which makes more sense. Then the number of extra spades in the deck must be 2.