Ok so first you need to put w and x in the equation —-> 13-0.5(10)+6(1/2) and now you just solve -0.5 times 10 is -5 so 13-(-5)+6(1/2) now multiply 6 times 1/2 which is 3 so now we have 13-(-5)+3= 21
The hypothesis testing for this problem is:
a. The hypothesis for this problem are:
Null: H0: μ=6
Alternative: Ha: μ≠6
b. Test
T-statistics = (6.08 - 6) / 0.44* √(121) = 2
c. P value = 0.047759
Since our p-value is smaller than the significant level of 0.05, we can say that we reject the null hypothesis.
Conclusion: there is enough evidence to say lathe is not in perfect adjustment.
You can graph this two ways. You can change it into slope intercept form, y=mx+b, or find the x- and y-intercepts. To change it to slope intercept form you would need to add 12x to both sides and divide both sides by 18. By doing this, you'd get y=2/3x+17/9. You'd then go up on the y-axis to 17/9 or 1.89 and place a point. You'd then go up two and to the right three and place another point. You can do this one more time and connect the points. To find the x- and y- intercepts you would plug 0 in for x and solve for y, getting 17/9, and plug 0 in for y and solve for x, getting -17/6. You'd then plot the points (-17/6, 0) and (17/9) and connect the points forming a line.
Answer:
Approximately 10.2 inches
Step-by-step explanation:
The area of a square is given by the formula:

Where A is the area and s is the side length.
Since we already know that the area A is 105, substitute:

Now, take the square root of both sides:

Use a calculator:

So, the side length is approximately 10.2 inches.
Answer:
D
-5x + y = 7
x+3y = 5
Step-by-step explanation:
when you graph the equations, they are parallel. as you know, solutions are the point where the lines meet. if they are parallel, it's not possible for the lines to intersect.