Answer:
Step-by-step explanation:
First, note that the angles shown are vertical angles. In other words, the two equations are equivalent to each other.
Therefore, set the equations equal to each other and solve for x;
Add 17 to both sides:
Subtract 6x from both sides:
Divide both sides by 2:
Therefore, the value of x is 12.
And we're done!
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 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
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:
Answer:
352cm²
Step-by-step explanation:
The shape is a cuboid and it has 6 faces, and the opposite faces are equal, so I calculate 3 different faces and multiplied it by 2 to give me the total surface area. Therefore, total surface area = the addition of all the surface areas in the shape. And to get each surface area, you have find the area of each of the 6 faces, and add them together, to give you the total surface area.
