Answer:
A. y=x and y=x+2
Step-by-step explanation:
A.
y=x and y=x+2
The equations both match the slope and intercept of the graphed equations.
Can I have the pancakes instead of the donkey?
Answer:
The standard deviation for the number of defective parts in the sample is 1.88.
Step-by-step explanation:
The sample is with replacement, which means that the trials are independent, and thus, the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
68 defective out of 400:
This means that ![p = \frac{68}{400} = 0.17](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B68%7D%7B400%7D%20%3D%200.17)
From the shipment you take a random sample of 25.
This means that ![n = 25](https://tex.z-dn.net/?f=n%20%3D%2025)
Standard deviation for the number of defective parts in the sample:
![\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{25*0.17*0.83} = 1.88](https://tex.z-dn.net/?f=%5Csqrt%7BV%28X%29%7D%20%3D%20%5Csqrt%7Bnp%281-p%29%7D%20%3D%20%5Csqrt%7B25%2A0.17%2A0.83%7D%20%3D%201.88)
The standard deviation for the number of defective parts in the sample is 1.88.
Answer:
2/3
Step-by-step explanation:
51, 60, 63, and 65 are greater than 50.
Step-by-step explanation:
If the second piece is x inches long, then the first piece is 5x inches long. The total length is 192 inches, so:
x + 5x = 192
6x = 192
x = 32
The lengths of the two pieces are 32 inches and 160 inches.