Answer:

Step-by-step explanation:
Given
See attachment for sample space
Required

From the attached sample space, we have:
---- total outcomes
--- outcomes with 1 Y and 1 P = 2 i.e. (P,Y) and (Y,P)
So, the required probability is:



<em>The error is that; Carlos omitted the numerator</em>
Answer:
Option E) 8000
Step-by-step explanation:
It is given in the question that the number of pencils and pens in a container A are 150 and 725.
Let the number of pens and pencils in container B are x and y.
As per statement " Ratio of the number of pencils to the number of pens is 2:3"
Equation will be 
Or
------(1)
Second statement says "If all pens and pencils of container B are placed in container A then ratio of pencils and pens would be 3:5"
Equation will be 
5(x + 150) = 3(y + 725) [By cross multiplication]
5x + 750 = 3y + 2175
5x - 3y = 2175 - 750
5x - 3y = 1425 ------(2)
Now we put 




y = 3×1425
y = 4275
Now we put y = 4275 in equation 1

x = 2850
Now (x + y) = 2850 + 4275
= 7125
Now Total number of pen and pencils in container A and container B
= 150 + 725 + 7125
= 8000
Therefore, Option E) is the answer
Answer:
See Explanation
Step-by-step explanation:
Given

(every hour)
Required
Explain why it is linear
First, we need to determine the equation that represents the scenario
Let x be the number of hours worked and y be the number of figurines at x hours.
The equation is determined as follows:

This gives:


Reorder

A linear equation is of the form

By comparison,
is equivalent to 
<em>Hence, we can conclude that the situation is linear</em>
Answer: x- (y-2)
Step-by-step explanation:
Two less than y would be y-2,
Then you just subtract it from x