Topic : Linear equations in two variables.
Given :
- 2x - y = 3 ––– (i)
- - x - y = 3 ––– (ii)
Solution :
Now,
(i) – (ii)




Now, substituting the value of x in Eq (i) :




Therefore,
- <u>The value of x = 0 and y = -3</u>
Answer:
a. C(x) = 24,000 + 100x
b. R(x) = 200x
c. Break-even point is 240 canoes
Step-by-step explanation:
a. Cost function is C(x) = FC + pcost * x
C(x) = 24,000 + 100x
Where
FC=Fixed cost = 24,000
pcost=costs to prod canoes = $100
x=produce quantity
b.Revenue function
R(x) = Px * x
R(x) = 200x
Where
Px=Price
x=produce quantity
c. Break-even point is the amount of canoes where revenue are the same as cost. We cover the total cost with the sales.
So, FC + pcost * x=Px * x
24,000 + 100x=200x
Isolating x
24,000 =200x- 100x
100x=24000
x=24,000/100
x=240
Answer:
skewed to the left
Step-by-step explanation:
when you look at the graph, you look for where the peaks are. if the peak is not centered, it is skewed. in this case, it leans towards the left. hope this helps :)
A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test statistic for this test is a "F-statistics."
<h3>
What is F-statistics?</h3>
An F statistic is a value obtained after performing an ANOVA test or even a regression analysis to determine whether the means of two populations differ significantly.
Some key features regarding the F-statistics are-
- It is comparable to a T statistic from the a T-Test; a T-test would then inform you when a single result is statistically significant, whereas a F test would then tell you if a set of variables is statistically significant.
- When determining whether your total results are significant, you must use the F statistic in conjunction with the p value. Why?
- A significant result does not imply that all of your variables have been significant.
- The statistic is simply comparing the cumulative influence of all the variables.
To know more about the F-statistics, here
brainly.com/question/17256783
#SPJ4
Answer:
See explanation
Step-by-step explanation:
Assuming the given inequality is 
Then the corresponding linear equation is 
When x=0, we have 

When y=0, we have 

The T-table is:
<u>x | y</u>
0 | 4
6 | 12
We plot this points and draw a solid straight line as shown in the attachment.
Now let us test the origin: (0,0) by plugging x=0 and y=0 into the inequality.

....This is true so we shade the lower half plane as shown in the attachment.