if 3/4 has pepperoni, 1/4 does not
11/12 * 1/4 = 11/48 of a foot
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:
w = -24
Step-by-step explanation:
see attachment .
Answer:
f(2)=-15
Step-by-step explanation:
y+4x^2-1 is the same as y=-4x^2+1, then replace y with f(x); f(x)=-4x^2+1. After you do that, replace x with 2; f(2)=-4(2)^2+1. 2^2=4, 4 times -4=-16, -16+1=-15. So f(2)=-15.
Answer:
14-2i
Step-by-step explanation:
![\left(3+5i\right)+\left(11-7i\right)\\\\Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number\\\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\\\=\left(3+11\right)+\left(5-7\right)i\\3+11=14\\5-7=-2\\\\=14-2i](https://tex.z-dn.net/?f=%5Cleft%283%2B5i%5Cright%29%2B%5Cleft%2811-7i%5Cright%29%5C%5C%5C%5CGroup%5C%3Athe%5C%3Areal%5C%3Apart%5C%3Aand%5C%3Athe%5C%3Aimaginary%5C%3Apart%5C%3Aof%5C%3Athe%5C%3Acomplex%5C%3Anumber%5C%5C%5C%5C%5Cleft%28a%2Bbi%5Cright%29%5Cpm%20%5Cleft%28c%2Bdi%5Cright%29%3D%5Cleft%28a%5C%3A%5Cpm%20%5C%3Ac%5Cright%29%2B%5Cleft%28b%5C%3A%5Cpm%20%5C%3Ad%5Cright%29i%5C%5C%5C%5C%3D%5Cleft%283%2B11%5Cright%29%2B%5Cleft%285-7%5Cright%29i%5C%5C3%2B11%3D14%5C%5C5-7%3D-2%5C%5C%5C%5C%3D14-2i)