Answer: 0.5263
Step-by-step explanation:
Given : The completion times for a job task range from 11.8 minutes to 19.4 minutes .
The density function for uniform distribution function for interval [a,b] :-

Then the density function for the given situation:-

The required interval : 
Now, the probability that it will require between 12.8 and 16.8 minutes to perform the task will be :-

Modular arithmetic is used to find the remainder when dividing the first number by the second number you can divide the term then multiply the (or use the mod function of a graphing calculator with the first term first in the ordered pair and the second in the second term.
-17/2 = 8.5 2*.5 =1
a. 1
-144/7 = -20 5/7 . 4/7 *7 = 4
b. 4
-101/13 =
c. 3
199/19=
d.9
Answer:
-5
Step-by-step explanation:
-4x +10 =5(x +11)
-4x +10 =5x +55
-4x - 5x =55 - 10
-9x =45
x=-45 :9
x=-5
Answer:
Step-by-step explanation:
The equation that models the height of the ball in feet as a function of time is

Where
is the initial height,
is the initial velocity and t is the time in seconds.
We know that the initial height is:
The initial speed is:

So the equation is:

The ball hits the ground when when
So

We use the quadratic formula to solve the equation for t
For a quadratic equation of the form

The quadratic formula is:

In this case

Therefore

We take the positive solution.
Finally the ball takes 2.47 seconds to touch the ground
12x50=600 so 60 left
15x50=750 so 60 left
so the administration fee is 60