Answer:
The player will recieve $2.
Step-by-step explanation:
Since we are not told what color ball you chose at random, and instead are asked to find the expected value. Then the expected ball color would be the ball with the highest probability of getting chosen.
Therefore, we need to find the probability of each color ball inside the bag. According to the question there are,
2 red + 3 white + 5 blue = 10 total balls
So the probabilities would be the following,
- Red:
- White:
- Blue:
So we can see that the ball with the highest probability of getting picked is the blue ball. Since the <u>Blue ball has a value of $2,</u> then the player will recieve $2.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
To solve this problem, we should first recall that the circumference
is the measure of the total arc enclosing the circle. The formula for
circumference is:
Circumference = 2 π r
where r is the radius of the circle
Now since we are only looking for a fraction of the arc,
not the total arc, therefore this simply means we are finding for a portion of the
circumference. Now we use the formula:
Arc length = (θ / 360) * 2 π r
Where θ/360 represents how much of the fraction is the arc
Convert angle to degrees: θ = 1.5 rad (180° / π
rad) = (270/π)°
Therefore the arc length is:
Arc length = (270/π / 360) * 2 π (8 inches)
Arc length = 12 inches
Eliminate parentheses using the distributive property.
... -1 -7g +42 +6g = 36
... 41 -g = 36 . . . . collect terms
... 41 -36 = g . . . . add g-36 to both sides
... 5 = g . . . . . .. . . your answer
To find the x and y-intercept, we can write an equation in slope intercept form.
first, we need to find the slope
the formula for slope is
m= (y₂-y₁)/(x₂-x₁)
now just put any two points into the equation
m=(10-5)/(-9-(-15)
m=5/6
so now we can write the slope-intercept equation
y=5/6x + b
in a slope-intercept equation, b is equal to the y-intercept, so we can take one of our 3 pairs of points and put them into the equation to solve for b
15= 5/6(-3) +b
15=-2.5 + b
17.5 = b
so now we know the y-intercept is (0,17.5)
now we can write the equation as
y= 5/6x + 17.5
since the x intercept is when y=0, we can set y to 0 and then solve for x
0= 5/6x +17.5
-17.5 = 5/6x
-21 = x
by setting y to zero, we figured out that the x-intercept is (-21,0)
hope this helped!
Answer: y > -1/2x + 2
Step-by-step explanation: first, in order to find the inequalities you should find the gradient by choosing two points from the line and you should you the formula m=y2-y1/x2-x1 to find the gradient.
Next, you should find the y-intercept in order to complete the inequality it can be easily found as the y-intercept is the place where the line crosses the y axis
Then you create your equation { y = -1/2x + 2 } and then if above the line is shaded then it is {> greater than} and if below the line is shaded then it should be {< less than}
(so you should replace the equation with the lesser or greater sign according to the way the graph is shaded)
