To be sure of getting a pair of socks of the same color, you must place yourself in the worst position.
When you take out socks without lookong (radomly), the worst scenary is that the first time you take out a sock of a color and in the second fime you take out a sock of different color. Then, the next time (the third time) you necessarily take a sock that match one of the two taken out previously, and so have a pair.
So, the answer is that you must take out three socks to be sure that you have a pair.
Hello from MrBillDoesMath!
Answer: x^2 - 6.5x + 10.5 = 0
Discussion:
If the roots are 3 and 3.5, then the quadratic equation is
(x -3 ) ( x - 3.5) = 0
or
x * (x - 3.5) - 3 (x - 3.5) = 0
or
X^2 - 3.5X - 3X + 3(3.5) = 0
or
x^2 - 6.5x + 10.5 = 0
Thank you,
MrB
The equation for a circle is as followed:

where the center of the circle is at (h,k) and the radius of the circle is r.
We are given (h,k) and need to find the radius. To do so, we can use the distance formula to find the distance from the center to the point on the circle:

Plug in the two points:



If the distance from the center to the edge of the circle is the square root of 117, then r^2 = 117.
The answer is:
Answer:
About $735.03
Step-by-step explanation:
The compound interest formula is A=P(1+r/n)^nt
P is the original amount (principal)
r is the rate
n is the number of times compounded (1 for this one since it is annual)
and t is the time compounded
Answer:
55.1%
Step-by-step explanation:
When a number is a percent, then one mutliplies it by 100, because a percent is a way of representing a value out of 100. Therefore, 0.551 as a percent is;
0.551 * 100
55.1%