Answer:
Step-by-step explanation:
The firm tests 75 parts, and finds that 0.25 of them are notusable
n = 75
x = 0.25 \times 75 = 18.75≈19
Confidence level = 95%
So, Z_\alpha at 95% = 1.96
Formula of confidence interval of one sample proportion:
Confidence interval 
Answer:
Step-by-step explanation:
2: exterior and opposite
3:supplementary
5: angles and equal
6: supplementary
The solution to any system graphically can be found where the 2 graphs intersect. These two graphs intersect at the point (0, 2).
Answer:
x = -3
Step-by-step explanation:
To solve this, you need to isolate the variable x, this means only one side of the equation should have the variable x. To do this, you need to do the opposite operation from what's given (if it's addition, use subraction; if it's multiplication, use division; these work vise versa)
- Subtract 9 from both sides of the equation. This gives you 10x = 4x - 18.
- Subtract 4x from both sides of the equation. This gives you 6x = -18.
- Divide both sides by 6. This gives you x = -3
The final answer is x = -3
Okay, so you know that the perimeter of the pen is 28 feet. Now we need the separate side lengths.
P = 28 ft.
Length = x
Width = (1/2)x + 2
So now we can plug in the little equations of length and width into a perimeter formula:
2(x) + 2((1/2)x + 2) = 28
Distribute the 2's and solve as needed.
2x + x + 4 = 28
3x + 4 = 28
3x = 24
x = 8
To find the width, just plug in 8 for x in our little equation:
(1/2)(8) + 2
= 6
So, the length is 8 feet and the width is 6 feet.
