Answer:
The probability of the spinner landing on A is 0.1111.
Step-by-step explanation:
The possible outcomes of a board game is that it can lead on any three of the regions, A, B and C.
The probability of all the outcomes of an event sums up to be 1.
![P(E) = P(E_{1})+P(E_{2})+...+P(E_{n})=1](https://tex.z-dn.net/?f=P%28E%29%20%3D%20P%28E_%7B1%7D%29%2BP%28E_%7B2%7D%29%2B...%2BP%28E_%7Bn%7D%29%3D1)
According to the provided information:
P (B) = 3 P (A)
P (C) = 5 P (A)
Compute the probability of the spinner landing on A as follows:
![P(A)+P(B)+P(C)=1\\P(A)+3P(A)+5P(A)=1\\9P(A)=1\\P(A)=\frac{1}{9}\\=0.111111\\\approx0.1111](https://tex.z-dn.net/?f=P%28A%29%2BP%28B%29%2BP%28C%29%3D1%5C%5CP%28A%29%2B3P%28A%29%2B5P%28A%29%3D1%5C%5C9P%28A%29%3D1%5C%5CP%28A%29%3D%5Cfrac%7B1%7D%7B9%7D%5C%5C%3D0.111111%5C%5C%5Capprox0.1111)
Thus, the probability of the spinner landing on A is 0.1111.
Answer:
n=37
Step-by-step explanation:
Two lines intersect and create vertical angles.
The vertical angles are ![(3n-28)^\circ$ and 83^\circ.](https://tex.z-dn.net/?f=%283n-28%29%5E%5Ccirc%24%20and%2083%5E%5Ccirc.)
We know that vertical angles (also called vertically opposite angles) are equal. Therefore:
![(3n-28)^\circ$ = 83^\circ.\\3n=28+83\\3n=111\\$Divide both sides by 3\\n=37](https://tex.z-dn.net/?f=%283n-28%29%5E%5Ccirc%24%20%3D%2083%5E%5Ccirc.%5C%5C3n%3D28%2B83%5C%5C3n%3D111%5C%5C%24Divide%20both%20sides%20by%203%5C%5Cn%3D37)
Answer:
x = -2,-3
Step-by-step explanation:
Solve the equation by factorizing.
To factorize this equation, you have to find the two numbers that adds up to 5 and multiplies to 6.
This one is obvious, but for others you may use trial and error.
After finding the 2 numbers: 2 and 3.
Present them in this format:
(x+3) ( x+2) = 0
You may check if this is correct using the distribution method.
After this,
you have to solve it individually.
for example:
x+3 = 0
x = -3
x+2 = 0
x = -2.
Thus, x has 2 different values: -3, -2.
You may check this by substituting x with either of these values.
Please mark brainiest
Tan 60 in radical for is square root of 3
Since x and y are directly related, the equation for their comparison will look like
kx = y
where k is your constant. They give you an instance in the problem where x = 27 and y = 81. Plug this into the above equation and solve for k.
kx = y
k (27) = 81
k = 3
Thus, the constant of variation is 3.