Answer: 
Step-by-step explanation:
given data:
number to be chosen from = 1,2,3,4.
<u><em>Solution:</em></u>
ways the number can show
ways for your number to appear once.
ways for your number to appear twice.
ways for your number not to appear at all



expected return of the player is 
I assume we are solving for x see attachment.
Answer:
centre = (4,-2)
radius = 3
Step-by-step explanation:
The centre-radius form of the circle equation is in the format
(x – h)² + (y – k)² = r²,
with the centre being at the point (h, k) and the radius being "r"
Given in the question an expression which can be write as
<h3> (x – 4)² + (y – (-2))² = 3²</h3>
So, by translating we can say that
centre = (4,-2)
and
radius = 3
The measures of the legs of the right triangle are:
X = 2.5
Y = 4.3
<h3>
How to find the values of x and y?</h3>
In the image, we can see a right triangle with a hypotenuse with a value of 5, and a known angle.
To find the values of X and Y (the legs of the triangle) we can use the two relations:
Sin(a) = (opposite cathetus)/(hypotenuse)
Cos(a) = (adjacent cathetus)/(hypotenuse)
In this case, we have:
a = 30°
hypotenuse = 5
opposite cathetus = X
adjacent cathetus = Y.
Replacing that in the relations we get:
Sin(30°) = X/5
Sin(30°)*5 = X = 2.5
cos(30°) = Y/5
cos(30°)*5 = Y = 4.3
Learn more about right triangles:
brainly.com/question/2217700
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1/2 of 14 is 7. multiply 14/1 to 1/2.