Answer: 5y + x
Step-by-step explanation: As you first step to this problem, change all your minus signs to plus negatives.
To simplify, we can only combine what are called our like terms and in this problem, we have one y-term and we have a pair of like terms in our x-terms.
So let's start by combining our y-terms.
13y + -7y simplifies to 5y.
Now we have one x-term so we have 5y + x.
Answer:
The lower bound of a 99% C.I for the proportion of defectives = 0.422
Step-by-step explanation:
From the given information:
The point estimate = sample proportion ![\hat p](https://tex.z-dn.net/?f=%5Chat%20p)
![\hat p = \dfrac{x}{n}](https://tex.z-dn.net/?f=%5Chat%20p%20%3D%20%5Cdfrac%7Bx%7D%7Bn%7D)
![\hat p = \dfrac{55}{100}](https://tex.z-dn.net/?f=%5Chat%20p%20%3D%20%5Cdfrac%7B55%7D%7B100%7D)
= 0.55
At Confidence interval of 99%, the level of significance = 1 - 0.99
= 0.01
![Z_{\alpha/2} =Z_{0.01/2} \\ \\ = Z_{0.005} = 2.576](https://tex.z-dn.net/?f=Z_%7B%5Calpha%2F2%7D%20%3DZ_%7B0.01%2F2%7D%20%5C%5C%20%5C%5C%20%3D%20Z_%7B0.005%7D%20%3D%202.576)
Then the margin of error ![E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1-\hat p)}{n}}](https://tex.z-dn.net/?f=E%20%3D%20Z_%7B%5Calpha%2F2%7D%20%5Ctimes%20%5Csqrt%7B%5Cdfrac%7B%5Chat%20p%281-%5Chat%20p%29%7D%7Bn%7D%7D)
![E = 2.576 \times \sqrt{\dfrac{0.55(1-0.55)}{100}}](https://tex.z-dn.net/?f=E%20%3D%202.576%20%5Ctimes%20%5Csqrt%7B%5Cdfrac%7B0.55%281-0.55%29%7D%7B100%7D%7D)
![E = 2.576 \times \sqrt{\dfrac{0.2475}{100}}](https://tex.z-dn.net/?f=E%20%3D%202.576%20%5Ctimes%20%5Csqrt%7B%5Cdfrac%7B0.2475%7D%7B100%7D%7D)
![E = 2.576 \times0.04975](https://tex.z-dn.net/?f=E%20%3D%202.576%20%5Ctimes0.04975)
E = 0.128156
E ≅ 0.128
At 99% C.I for the population proportion p is: ![\hat p - E](https://tex.z-dn.net/?f=%5Chat%20p%20-%20E)
= 0.55 - 0.128
= 0.422
Thus, the lower bound of a 99% C.I for the proportion of defectives = 0.422
Answer:
-15
Step-by-step explanation:
-3+-2*5-2=-15
Answer:
The graph has pages on the X-axis and price (dollars) on the Y-axis
Step-by-step explanation:
The X-axis will always have the independent variable (pages), while the Y-axis will have the dependent variable (number of pages). The pages will exist no matter how many there are, but the price is influenced by the number of pages.
If my calculations are correct the answer is cut your answer in half