An employee was randomly chosen from a company. If the expected value of the age of the employee is _____ years old, the mean ag
e of all the employees in the company is _____ years old.
2 answers:
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Answer:
(a)
(b)
Step-by-step explanation:
Given
Solving (a): The pmf
This means that we list out the probability of each value of x.
To do this, we simply subtract the current probability value from the next.
So, we have:
The calculation is as follows:
The x values are gotten by considering where the equality sign is in each range.
means
means
means
means
means
Solving (b):
This is calculated as:
From the given function
So:
This is calculated as:
Answer:
After 14.92 seconds, the arrow hits the ground.
Step-by-step explanation:
Given:
Initial velocity of the arrow is,
The arrow goes up and come back to the same starting position. So, initial position is same as that of final position.
Therefore, displacement of the arrow is 0 m.
The displacement of the arrow is given as:
(equation 1)
Plug all value in equation 1 and solve for
where
∴ After 14.92 seconds, the arrow hits the ground.
Answer:
Step-by-step explanation:
Connecting points O and E and points O and J, we get triangle EOJ. This triangle is equilateral triangle, because OJ=OE=JE=r=10 cm.
Since EP⊥IJ, then segment JP is the height of the triangle EOJ.
The height of the equilateral triangle can be found using formula
where a is the side length.
So,
Therefore JP is 5√3 cm