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.
Answer:
14:6
21:9
28:12
Step-by-step explanation:
Given the initial ratio of 7:3, you can find equivalent ratios by multiplying the two numbers by the same factor:
7 x 2 = 14
3 x 2 = 6
14:6
7 x 3 = 21
3 x 3 = 9
21:9
7 x 4 = 28
3 x 4 = 12
28:12
Answer:
x=9
Step-by-step explanation:
8x-14=2(2x+11)
8x-14=4x+22
4x=36
x=9
Answer:
0
Step-by-step explanation:
m=(y2-y1)/x2-x1), if m is slope and the 2 points are (x1, y1), (x2, y2).
m=(7-7)/(2-5)
m=0/-3
m=0
also, you don't need to know this but if a line has a slope of zero it's a horizontal line
Because you if it changes its a function