Answer:
(a) 0.0833 or 8.33%
(b) 0.40 or 40%
Step-by-step explanation:
Parts line one (n1) = 1,000 parts
Defects line one (d1) = 100 parts
Parts line two (n2) = 2,000 parts
Defects line two (d2) = 150 parts
Total number of parts (n) = 3,000 parts
a. Probability of a randomly selected part being defective:
![P(d) = \frac{d_1+d_2}{n_1+n_2}=\frac{100+150}{1,000+2,000}\\P(d) =0.0833=8.33\%](https://tex.z-dn.net/?f=P%28d%29%20%3D%20%5Cfrac%7Bd_1%2Bd_2%7D%7Bn_1%2Bn_2%7D%3D%5Cfrac%7B100%2B150%7D%7B1%2C000%2B2%2C000%7D%5C%5CP%28d%29%20%3D0.0833%3D8.33%5C%25)
The probability is 0.0833 or 8.33%
b. Probability of a part being produced by line one, given that it is defective:
![P(1|d)=\frac{P(1\cap d)}{P(1\cap d)+P(2\cap d)}\\P(1|d)=\frac{\frac{100}{3,000} }{\frac{100}{3,000}+\frac{150}{3,000}}\\P(1|d)=0.4 = 40\%](https://tex.z-dn.net/?f=P%281%7Cd%29%3D%5Cfrac%7BP%281%5Ccap%20d%29%7D%7BP%281%5Ccap%20d%29%2BP%282%5Ccap%20d%29%7D%5C%5CP%281%7Cd%29%3D%5Cfrac%7B%5Cfrac%7B100%7D%7B3%2C000%7D%20%7D%7B%5Cfrac%7B100%7D%7B3%2C000%7D%2B%5Cfrac%7B150%7D%7B3%2C000%7D%7D%5C%5CP%281%7Cd%29%3D0.4%20%3D%2040%5C%25)
The probability is 0.40 or 40%.
Pretty sure it’s b
Because it’s by 2 at first then it’s by 125
I'm assuming that you meant 4x+1=3x?
Subtracting 4x, we get 1=-x. Multiplying by -1, we get x=-1 as the solution.
Amy's weight = 55 kg also Amy's velocity = 3 m/sec. And Jenny's weight = 40 kg Jenny's velocity = -5 m/sec. their final mass = 55+40 = 95 kg is their final velocity that we want to find out.
Ect. but in conclusion the answer is 7/19 m/sec.
I hope this is correct >w< if it's not I am really sorry I mist up.
Steps
1) 100%-15%=85%
2) 9.99×0.85=11.49
3) 11.49×0.05+11.49=8.92
they cost$8.92