Plz send pics so I can see what I’m workin with
One as it intersects only on the Y axis
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Answer: Choice A. ![(x,y) \to (x-3, y+5)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x-3%2C%20y%2B5%29)
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Explanation:
The notation
or means to move any point (x,y) along the vector <-3,5>. Put another way, it says to shift (x,y) three units to the left and five units up. The x portion deals with left or right shifting, the y portion deals with up or down shifting. Since the x portion is negative, we go in the negative direction on the x axis. Y being positive means we move up rather than down.
This all means we end up with the translation rule ![(x,y) \to (x-3,y+5)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x-3%2Cy%2B5%29)
Answer:
1 4/7
Step-by-step explanation:
Answer:
The average life of the mice that are placed on this diet is less than 40 months.
Step-by-step explanation:
Consider the provided information.
When 40% of the calories in their diet are replaced by vitamins and protein. Is there any reason to believe that μ < 40.
The null and alternative hypothesis are:
![H_0:\mu=40\\H_a:\mu](https://tex.z-dn.net/?f=H_0%3A%5Cmu%3D40%5C%5CH_a%3A%5Cmu%3C40)
64 mice that are placed on this diet have an average life is 38 months with a standard deviation of 5.8 months.
Therefore, ![n = 64, \bar x=38\ and\ \sigma=5.8](https://tex.z-dn.net/?f=n%20%3D%2064%2C%20%5Cbar%20x%3D38%5C%20and%5C%20%5Csigma%3D5.8)
Use the formula: ![z=\dfrac{\bar x-\mu}{\frac{\sigma}{\sqrt{n} }}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Cbar%20x-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%7D)
Substitute the respective values in the above formula.
![z=\dfrac{38-40}{\frac{5.8}{\sqrt{64} }}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B38-40%7D%7B%5Cfrac%7B5.8%7D%7B%5Csqrt%7B64%7D%20%7D%7D)
![z=-\dfrac{2}{\frac{5.8}{8}}\approx-2.76](https://tex.z-dn.net/?f=z%3D-%5Cdfrac%7B2%7D%7B%5Cfrac%7B5.8%7D%7B8%7D%7D%5Capprox-2.76)
Now using the table ![P(Z](https://tex.z-dn.net/?f=P%28Z%3Cz%29%3D0.029)
The p value is smaller than 0.05 so reject the null hypothesis.
Therefore, the average life of the mice that are placed on this diet is less than 40 months.