

When

, you're left with

When

or

, you're left with

Adding the two equations together gives

, or

. Subtracting them gives

,

.
Now, you have



By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that

and

. These alone tell you that you must have

and

.
So the partial fraction decomposition is
We call x the 4 points-worth problems and y the 3 points-worth problems
You know that x+y = 32
4x+3y = 111
You know that the difference from the x and y is 32 so write:
x = 32-y
Substitute at x the value of 32-y
4(32-y)+3y = 111
128-4y +3y = 111
-4y+3y = 111-128
-y = -17
y = 17
Answer:
The probability that the wait time is greater than 14 minutes is 0.4786.
Step-by-step explanation:
The random variable <em>X</em> is defined as the waiting time to be seated at a restaurant during the evening.
The average waiting time is, <em>β</em> = 19 minutes.
The random variable <em>X</em> follows an Exponential distribution with parameter
.
The probability distribution function of <em>X</em> is:

Compute the value of the event (<em>X</em> > 14) as follows:

Thus, the probability that the wait time is greater than 14 minutes is 0.4786.
If 80% are women, then 20% are men
20% of what equals 880
0.20x = 880
x = 880/.20
x = 4400
check..
men : 20% of 4400 = 0.20(400) = 880
women : 80% of 4400 = 0.80(4400) = 3520
totaling : 3520 + 880 = 4400
so there are a total of 4400 workers
Answer:
9300
Step-by-step explanation:
To find the total surface are of 150 boxes, all we have to do is multiply the surface area of one box ( 62 which was calculated on this question brainly.com/question/23446865 ) by the total amount of boxes (150)
So your answer = 150 * 62 which equals 9300