If you know the area of the square is 256 and the area of the circle is 200.96 you subtract 200.96 from 256 and you get 55.04 is the area of the square that is not covered by the circle. so 55.04/256 because that will give you the percent of the area that is outside that circle but inside the square and you get .215 or 21.50%
It doesn’t really matter which variable you isolate first but usually you would use the one that’s by itself already. like for example one of the equations was y = 8. you would already have your y solve for so you would just have to plug that in for y in the other equation. personally, i usually do x first unless one of the equations has either x or y by itself already. i think its easier to just do x first and then solve for y after that, but it just depends on what the equations are; sometimes it might be easier to just do y first. hope this helps!
Answer:
a) -$3.03; b) The $5 on the number 25
Step-by-step explanation:
To find the expected value, multiply each probability by its value and then add them together.
The probability of making a profit of $20 is 3/38; this gives us
3/38(20) = 60/38
The probability of losing $5 is 35/38; this gives us
35/38(-5) = -175/38
Together, this gives us
60/38-175/38 = -115/38 ≈ $-3.03
b) Since the expected value for the $5 bet on a single number is $-0.53, and the expected value for the $5 on either 00, 0 or 1 is $-3.03, the better bet is on the number 25. The expected value loses less money with this option.
Step-by-step explanation:
2(heads) + 2(goats) = 140
Heads are given, so we get:
2(52) + 2(goats) = 140
104 + 2(goats) = 140
2(goats) = 36
goats = 18
Since we know the number of goats, we know the number of chickens.
34Chickens and 18 goats.
To avoid confusion, remember PEMDAS. This is the order of operation.
Parenthesis, Exponents, Multiply, Divide, Add, Subtract
21 ÷ 7 + 20 * 102 * 2 - 3
No parenthesis and no exponents, proceed to multiplication.
20 * 102 * 2 = 4,080
Then, perform division
21÷7 = 3
Then, do addition
3 + 4080 = 4083
Lastly, do subtraction
4,083 - 3 = 4,080
So, 21 ÷ 7 + 20 * 102 * 2 - 3 = 4,080
