Answer: Triangle 2
The second triangle is not a right triangle.
If 2 inches equals 40 miles, then 1 inch equals 20 miles.
115 miles/20 miles=5.75
The cities would be 5.75 miles apart on the map.
Answer:
(a) The mean of the weight of the mice is 50.26 grams.
(b) The standard deviation of the weight of the mice is 14.08 grams.
Step-by-step explanation:
(a)
The mean is given as follows:


Thus, the mean of the weight of the mice is 50.26 grams.
(b)
Compute the standard deviation as follows:
![s=\frac{1}{\sum f_{i}-1}[\sum f_{i}x_{i}^{2}-\frac{1}{\sum f_{i}}(\sum f_{i}x_{i})^{2}]](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B1%7D%7B%5Csum%20f_%7Bi%7D-1%7D%5B%5Csum%20f_%7Bi%7Dx_%7Bi%7D%5E%7B2%7D-%5Cfrac%7B1%7D%7B%5Csum%20f_%7Bi%7D%7D%28%5Csum%20f_%7Bi%7Dx_%7Bi%7D%29%5E%7B2%7D%5D)
![=\frac{1}{100-1}[254001-\frac{1}{100}(5026)^{2}]\\\\=\frac{1}{99}\times 1394.24\\\\=14.08323\\\\\approx 14.08](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B100-1%7D%5B254001-%5Cfrac%7B1%7D%7B100%7D%285026%29%5E%7B2%7D%5D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B99%7D%5Ctimes%201394.24%5C%5C%5C%5C%3D14.08323%5C%5C%5C%5C%5Capprox%2014.08)
Thus, the standard deviation of the weight of the mice is 14.08 grams.