All you have to do is rotate the current dots, and bam.
Expected number of wins=number of plays times the probability of winning
w=20(14.5/100)
w=20(0.145)
w=2.9
w≈3
So you would expect to win 3 times out of 20 attempts (rounded to the nearest whole number of wins)
Answer:
x = 7.99 cm
Step-by-step explanation:
By applying cosine rule in the given triangle,
AC² = AB² + BC² - 2(AB)(AC)cosC
Substitute the measures of the sides and the angle in this formula,
x² = 6² + 10² - 2(6)(10)cos(53°)
x² = 36 + 100 - 72.217
x² = 63.782
x = √(63.782)
x = 7.99 cm
Answer:
5 days
Step-by-step explanation:
This problem is an inverse proportion case. Having two variables: number of workers and time (in days); when we increase the number of workers, the time needed decreases; vice versa. Therefore, we can use the multiplication method: (workers * time) will always stay constant.
Let's say the time (in days) needed by the eleven workers is t,
5*20 = (3*10) + (14*t)
100 = 30+14t
70 = 14t
5 = t
It will take the eleven-workers 5 more days to finish the road.
I assume you want the equation to be solved, so this is a quadratic simultaneous equation.
y = x^2-x-3 ——— (1)
y = -3x+5 ——— (2)
Sub (1) into (2)
(This is the first three steps provided)
x^2-x-3 = -3x+5
0 = x^2+2x-8
0 = (x-2)(x+4) ——— (3)
Solve for x in (3):
x-2 = 0
x = 2
x+4 = 0
x = -4
Sub x into (2)
y = -3(2) + 5
y = -1
y = -3(-4) + 5
y = 17
Hence the solution sets are:
x=2, y=-1
x=-4, y=17
