Answer:
e.none of these
Step-by-step explanation:
Computations For CC for Fraction defective
Sample No d p=d/100
1 0 0
2 0 0
3 2 0.02
4 1 0.01
5 0 0
6 1 0.01
7 2 0.02
8 0 0
Total 0.06
![\overline{p} =\frac{1}{k}\sum p=\frac{0.06}{8} =0.0075](https://tex.z-dn.net/?f=%5Coverline%7Bp%7D%20%3D%5Cfrac%7B1%7D%7Bk%7D%5Csum%20p%3D%5Cfrac%7B0.06%7D%7B8%7D%20%3D0.0075)
![\overline{q} =1- 0.0075= 0.9925](https://tex.z-dn.net/?f=%5Coverline%7Bq%7D%20%3D1-%200.0075%3D%200.9925)
3 sigma control limits for p chart are given by:
![\overline{p} \pm 3\sqrt{\overline{p}\overline{q}/n}\Rightarrow 0.0075\pm 3\sqrt{\frac{0.0075*0.9925}{100}}](https://tex.z-dn.net/?f=%5Coverline%7Bp%7D%20%5Cpm%203%5Csqrt%7B%5Coverline%7Bp%7D%5Coverline%7Bq%7D%2Fn%7D%5CRightarrow%200.0075%5Cpm%203%5Csqrt%7B%5Cfrac%7B0.0075%2A0.9925%7D%7B100%7D%7D)
![= 0.0075\pm0.0259\Rightarrow ( 0.0334,0 )](https://tex.z-dn.net/?f=%3D%200.0075%5Cpm0.0259%5CRightarrow%20%28%200.0334%2C0%20%29)
hence option e is correct
Answer:
(- 4, - 10 )
Step-by-step explanation:
Given the 2 equations
y = x - 6 → (1)
x = - 4 → (2)
Substitute x = - 4 into (1) for corresponding value of y
y = - 4 - 6 = - 10
Solution is (- 4, - 10 )
Answer: Hi!
To solve this equation, we first distribute to the terms inside of the parentheses.
10*4 = 40
10*-3i = -30i
Our equation now looks like this:
40 - 30i
There is nothing left to simplify, so you're done!
Hope this helps!
Answer:
![\boxed {\boxed {\sf d\approx 4.2}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20d%5Capprox%204.2%7D%7D)
Step-by-step explanation:
The formula for distance is:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2)
Where (x₁, y) and (x₂, y₂) are the points.
We are given (-6, 6) and (-3, 3). If we match the value and its corresponding variable, we see that:
- x₁= -6
- y₁ = 6
- x₂ = -3
- y₂ = 3
Substitute the values into the formula.
![d= \sqrt{ (-3 - -6)^2+(3-6)^2](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B%20%28-3%20-%20-6%29%5E2%2B%283-6%29%5E2)
Solve inside the parentheses.
- -3 --6 = -3+6 = 3
- 3-6 = -3
![d= \sqrt{(3)^2+ (-3)^2](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B%283%29%5E2%2B%20%28-3%29%5E2)
Solve the exponents.
- (3)²= 3*3= 9
- (-3)²= -3*-3 =9
![d= \sqrt{9+9](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B9%2B9)
Add.
![d= \sqrt18](https://tex.z-dn.net/?f=d%3D%20%5Csqrt18)
![d= 4.24264069](https://tex.z-dn.net/?f=d%3D%204.24264069)
Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 2 in the tenth place.
![d \approx 4.2](https://tex.z-dn.net/?f=d%20%5Capprox%204.2)
The distance between the two points is apprximately <u>4.2</u>
1800 ft² = 3 pounds
[divide by 3 through]
1800 ÷ 3 = 3 ÷ 3
600ft² = 1 pound
[8400 ÷ 600 = 14; so multiply by 14 through]
600 x 14 = 1 x 14
8400ft² = 14 pounds
we need 14 pounds to cover 8400 square feet.
[Find number of 4 pounds bags needed]
14 ÷ 4 = 3.5
So we need to use 4 bags of 14 pounds of lawn seeds.