The first thing you should do is graph the following lines
2x + 3y = 8
x-2y = -3
x = 0
y = 0
After you have graphed them, you should proceed to evaluate points in the xy plane that meet the following restrictions:
2x + 3y≤8, x-2y≥-3, x≥0, y≥0
The resulting region is the region "R" shown in the attached graph.
Answer:
a) ![[-0.134,0.034]](https://tex.z-dn.net/?f=%5B-0.134%2C0.034%5D)
b) We are uncertain
c) It will change significantly
Step-by-step explanation:
a) Since the variances are unknown, we use the t-test with 95% confidence interval, that is the significance level = 1-0.05 = 0.025.
Since we assume that the variances are equal, we use the pooled variance given as
,
where 
.
The mean difference 
.
The confidence interval is
![= -0.05\pm 1.995 \times 0.042 = -0.05 \pm 0.084 = [-0.134,0.034]](https://tex.z-dn.net/?f=%3D%20-0.05%5Cpm%201.995%20%5Ctimes%200.042%20%3D%20-0.05%20%5Cpm%200.084%20%3D%20%5B-0.134%2C0.034%5D)
b) With 95% confidence, we can say that it is possible that the gaskets from shift 2 are, on average, wider than the gaskets from shift 1, because the mean difference extends to the negative interval or that the gaskets from shift 1 are wider, because the confidence interval extends to the positive interval.
c) Increasing the sample sizes results in a smaller margin of error, which gives us a narrower confidence interval, thus giving us a good idea of what the true mean difference is.
Answer:
D.
b = 175; which is the initial # of pages to start
Step-by-step explanation:
you can find the slope to find b or y-intercept (x=0) for equation
y=mx+b
to find m = (y2-y1)/(x2-x1)
(x1,y1) = (9, 100)
(x2, y2) = (15, 50)
m = (50-100) / (15-9) = -50/6 = -25/3
let use point (15, 50)
y=mx+b
50 = -25/3*x + b
50 = (-25/3)*(15) + b
50 = -125 + b
b = 175; which is the initial # of pages to start
Answer:
.
Step-by-step explanation:
We want to convert the function into the form that let's us easily find the x-intercept, and it would be for the form 
because then we can find the x-intercept in the following manner:
We factor our function 
and get
Now this form let's us easily find the x-intercepts:
and so we pick the second choice: f(x)=(2x+1)(2x-1).
