Answer:
Step-by-step explanation:
Given that a small manufacturing firm has 250 employees. Fifty have been employed for less than 5 years and 125 have been with the company for over 10 years. So remaining 75 are between 5 and 10 years.
Suppose that one employee is selected at random from a list of the employees
A) Probability that the selected employee has been with the firm less than 5 years = 
B) Probability that the selected employee has been with the firm between 5 and 10 years
= 
C) Probability that the selected employee has been with the firm more than 10 years
= 
a) P(A) = 0.2
P(C) = 0.5
P(A or B) = 0.2+0.3 = 0.5
P(A and C) = 0 (since A and C are disjoint)
Answer:
4+3i
Step-by-step explanation:
the 
needs to be simplified
first, I broke it down to
and 
simplifies to i ;and can be broken down to 
and
can be simplified further to 3
Now all you have to do is put it together
4(which you didnt have to do anything to)+ 3i( 3 from the sqrt of 9 and i from the sqrt of -1) sqrt 3( which cant be simplified further)
Question:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.
Answer:
Step-by-step explanation:
Given
Required
Find t when the ball hits the ground
This implies that h(t) = 0
So, we have:
Reorder
Using quadratic formula, we have:
Where
So, we have:
This gives:
or 
or 
or 
But time can not be negative.
So, we have:
<em>Hence, time to hit the ground is 5.0625 seconds</em>
Reorder terms so constants are on the left
(3x + 7) 8x^2
8(3x +7)x^2
Distribute
Answer: 24x^3+56x^2
