X would be 0 while Y would be 4
3x+y=4
-(2x+y=4)
----------------
x=0
Plug in x to any of those two equations in their original form
3(0)+y=4
0 + y = 4
y = 4
1 kilometer = 1000 meters so 12 kilometers = 12000 meters
10 laps (400 meters/lap) = 4000 meters
12000/4000 = 3
Answer: 3 days
Answer:
The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Step-by-step explanation:
We are given that
Mean, 
Standard deviation, 
We have to find the two weights that separate the top 3% and the bottom 3%.
Let x be the weight of machine components


=0.03
From z- table we get

Therefore, we get







Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Answer:
1) 20 stars; 30 points.
2) 28 stars, 42 points.
3) 38 stars, 57 points.
Step-by-step explanation:
<h3>
The missing table is attached.</h3>
Let be "x" the numbers of stars Roberto collects and "y" his total points.
The proportional relationship has this form:

Where "k" is the constant of proportionality.
We can choose the point
) from the table, where:

Substituting these values into
and solving for "k", we get:
Knowing the value of "k", we determine that the following Numbers of stars and the Total points could be used as the missing values in the table:
1) For
:

2) For
:

3) For
:
