Step-by-step explanation:
![(+)(+)=(-)(-)=(+)\\(+)(-)=(-)(+)=(-)\\\\-(-x-3)=-1(-x-3)\qquad\text{use the distributive property}\\\\=(-1)(-x)+(-1)(-3)=x+3](https://tex.z-dn.net/?f=%28%2B%29%28%2B%29%3D%28-%29%28-%29%3D%28%2B%29%5C%5C%28%2B%29%28-%29%3D%28-%29%28%2B%29%3D%28-%29%5C%5C%5C%5C-%28-x-3%29%3D-1%28-x-3%29%5Cqquad%5Ctext%7Buse%20the%20distributive%20property%7D%5C%5C%5C%5C%3D%28-1%29%28-x%29%2B%28-1%29%28-3%29%3Dx%2B3)
Answer:
48.2
Step-by-step explanation:
√(x2-x1)²+(y2-y1)²
√(15.3-59.5)² +(14.9-34.2)²
√(-44.2)² + (-19.3)²
√1953.64+372.49
√2326.13
48.2
Answer:
Option D) 340
Step-by-step explanation:
We are given the following in the question:
Alpha, α = 0.05
Population standard deviation, σ = $47
Margin of error = 5
95% Confidence Interval:
![\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Cmu%20%5Cpm%20z_%7Bcritical%7D%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![\text{Margin of error} = z_{critical}\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Ctext%7BMargin%20of%20error%7D%20%3D%20z_%7Bcritical%7D%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
Putting the values, we get,
![z_{critical}\text{ at}~\alpha_{0.05} = 1.96](https://tex.z-dn.net/?f=z_%7Bcritical%7D%5Ctext%7B%20at%7D~%5Calpha_%7B0.05%7D%20%3D%201.96)
![5 = 1.96(\dfrac{47}{\sqrt{n}} )\\\\\sqrt{n} = \dfrac{47\times 1.96}{5}\\\\n = 339.443776\\\Rightarrow n \approx 340](https://tex.z-dn.net/?f=5%20%3D%201.96%28%5Cdfrac%7B47%7D%7B%5Csqrt%7Bn%7D%7D%20%29%5C%5C%5C%5C%5Csqrt%7Bn%7D%20%3D%20%5Cdfrac%7B47%5Ctimes%201.96%7D%7B5%7D%5C%5C%5C%5Cn%20%3D%20339.443776%5C%5C%5CRightarrow%20n%20%5Capprox%20340)
Thus, the correct answer is
Option D) 340
Answer:
1. Locate the y-intercept on the graph and plot the point.
2. From this point, use the slope to find a second point and plot it.
3. Draw the line that connects the two points.