it is a scalene triangle
Step-by-step explanation:
equilateral triangle has 3 equal sides, isosceles triangle has two equal sides and scalene has 3 three different angle measurement
Answer:
78
Step-by-step explanation:
A=base*height
10*7.8
Answer: ![0.000085\leq\sigma^2\leq0.000271](https://tex.z-dn.net/?f=0.000085%5Cleq%5Csigma%5E2%5Cleq0.000271)
Step-by-step explanation:
Given : Sample size : n= 25
Degree of freedom : n-1 = 24
Significance for 95% confidence = ![\alpha=0.05](https://tex.z-dn.net/?f=%5Calpha%3D0.05)
Sample variance : ![s^2=0.00014](https://tex.z-dn.net/?f=s%5E2%3D0.00014)
We assume that the population of all cylindrical engine part outside diameters that would be produced by the new machine is normally distributed
Using chi-square distribution table , Critical values are:
![\chi^2_{{n-1,\alpha/2}}=\chi^2_{24,\ 0.025}=39.364\\\\\chi^2_{{n-1,1-\alpha/2}}=\chi^2_{24,\ 0.975}=12.401](https://tex.z-dn.net/?f=%5Cchi%5E2_%7B%7Bn-1%2C%5Calpha%2F2%7D%7D%3D%5Cchi%5E2_%7B24%2C%5C%200.025%7D%3D39.364%5C%5C%5C%5C%5Cchi%5E2_%7B%7Bn-1%2C1-%5Calpha%2F2%7D%7D%3D%5Cchi%5E2_%7B24%2C%5C%200.975%7D%3D12.401)
Confidence interval for variance is given by:-
![\dfrac{(n-1)s^2}{\chi^2_{{n-1,\alpha/2}}}\leq \sigma^2\leq\dfrac{(n-1)s^2}{\chi^2_{{n-1,1-\alpha/2}}}\\\\\\=\dfrac{(24)(0.00014)}{39.364}\leq \sigma^2\leq\dfrac{(24)(0.00014)}{12.401}\\\\\\\approx0.000085\leq\sigma^2\leq0.000271](https://tex.z-dn.net/?f=%5Cdfrac%7B%28n-1%29s%5E2%7D%7B%5Cchi%5E2_%7B%7Bn-1%2C%5Calpha%2F2%7D%7D%7D%5Cleq%20%5Csigma%5E2%5Cleq%5Cdfrac%7B%28n-1%29s%5E2%7D%7B%5Cchi%5E2_%7B%7Bn-1%2C1-%5Calpha%2F2%7D%7D%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B%2824%29%280.00014%29%7D%7B39.364%7D%5Cleq%20%5Csigma%5E2%5Cleq%5Cdfrac%7B%2824%29%280.00014%29%7D%7B12.401%7D%5C%5C%5C%5C%5C%5C%5Capprox0.000085%5Cleq%5Csigma%5E2%5Cleq0.000271)
∴ 95% confidence interval for variance :
![0.000085\leq\sigma^2\leq0.000271](https://tex.z-dn.net/?f=0.000085%5Cleq%5Csigma%5E2%5Cleq0.000271)
<span>Yes, the lines are the same even though the right line is translation the the left line 4 units to the right.
The function moves the line a certain distance. The line is not altered in any way so thus the lines are the same.</span>
6/8 on other goods+1/8 on bread=7/8 used
21/24
He had 24 pounds of flour in his supply