The value of P(R = 3) is 0.2854
<h3>Probability</h3>
Probabilities are used to determine the chances of events.
The given parameters are:
--- the number of slots
. --- the number of red slot
. --- the number of black slot
. --- the number of green slot
<h3>Individual probabilities</h3>
The probability that the ball lands on a red slot is calculated as:
Simplify
The probability that the ball does not land on a red slot is calculated as:
Simplify
<h3>
Binomial probability</h3>
The value of P(R = 3) is then calculated using the following binomial probability formula
Where:
So, we have:
Hence, the value of P(R = 3) is 0.2854
Read more about probabilities at:
brainly.com/question/15246027
The length and the width of the rectangle are 20 and 14 inches respectively
<h3>How to find the length and width?</h3>
The given parameters are:
Length = 6 + Width
Perimeter = 68 inches
The perimeter of a rectangle is calculated as:
Perimeter = 2 * (Length + Width)
So, we have:
2 * (Length + Width) = 68
Divide both sides by 2
Length + Width = 34
Substitute Length = 6 + Width in Length + Width = 34
6 + Width + Width = 34
Evaluate the like terms
2 * Width = 28
Divide both sides by 2
Width = 14
Substitute Width = 14 in Length = 6 + Width
Length = 6 + 14
Evaluate
Length = 20
Hence, the length and the width of the rectangle are 20 and 14 inches respectively
Read more about perimeter at:
brainly.com/question/24571594
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Answer:
y=-2/3 x +4
Step-by-step explanation:
slop = (6-0)/(-3-6)= -2/3
c= 4 (when x =0)
line equation:
y= mx + c
y=-2/3 x +4
Answer:
π/4
Step-by-step explanation:
x is the variable
-1 inverts the curve
π/4 is the phase shift or x axis offset
2 is the y axis offset
