How many numbers from 1 to 10 are not a multiple of 3? 1, 2, 4, 5, 7, 8, 10 means there are 7
So the probability is 7/10 = .7 = 70%
Answer:
Mass of the lamina is 24
Centre of Mass is ![(\frac{3}{4},\frac{3}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%7D%2C%5Cfrac%7B3%7D%7B2%7D%29)
Step-by-step explanation:
(1) the x-bound are 0≤x≤2
the line passing through (0,0) and (2,1) has equation y = x/2
line passing through (0,3) and (2,1) has equation y = -x + 3
so, the y-bound are x/2≤y≤-x +3
Check attachment for further calculations.....
Answer:
205 meters
Step-by-step explanation:
25 * 8.2 = 205
Answer:
![n_1+n_2-2](https://tex.z-dn.net/?f=n_1%2Bn_2-2)
Step-by-step explanation:
If we had 2 independent samples with population variances unknown and equal and we want to compare the population mean between the both groups, the test statistic will be:
![t=\frac{x_1-x_2}{\sqrt{s_p^2(\frac{1}{n_1}+\frac{1}{n_2}) } }](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bx_1-x_2%7D%7B%5Csqrt%7Bs_p%5E2%28%5Cfrac%7B1%7D%7Bn_1%7D%2B%5Cfrac%7B1%7D%7Bn_2%7D%29%20%7D%20%7D)
Where ![s_p^2=\frac{(n_1-1)*s_1^2+(n_2-2)*s_2^2}{n_1+n_2-2}](https://tex.z-dn.net/?f=s_p%5E2%3D%5Cfrac%7B%28n_1-1%29%2As_1%5E2%2B%28n_2-2%29%2As_2%5E2%7D%7Bn_1%2Bn_2-2%7D)
So, the t-student has
degrees of freedom
Where
and
are the means of the groups,
and
are the size of the samples and
and
are the sample variances.
The decimal would be 0.375. XD