Answer:
Since there's no given exact measurement. I'll assume that the angle is by default 180 degrees.
If angle PQR measure 75 degrees.
then the measurement of angle SQR will be:
Angle PQR = 75
Angle SQR = 180 - 75 degrees
Angle SQR = 105 degree
Step-by-step explanation:
Right answer is 1.4013841
Answer:
y=1.8x-9
Step-by-step explanation:
if they are intercepts so the x/y will be zero, so in y intetceot the x is zero, and in the x itercept the y is zero.
0,-9
5,0
we calculate the slooe / rise
-9-0/0-5 = 1.8
we then use this formula
y-y1=rise(x-x1)
y-0=1.8(x-5)
y=1.8x-9
Answer:
The confidence interval for the population variance of the thicknesses of all aluminum sheets in this factory is Lower limit = 2.30, Upper limit = 4.83.
Step-by-step explanation:
The confidence interval for population variance is given as below:
![[(n - 1)\times S^{2} / X^{2} \alpha/2, n-1 ] < \alpha < [(n- 1)\times S^{2} / X^{2} 1- \alpha/2, n- 1 ]](https://tex.z-dn.net/?f=%5B%28n%20-%201%29%5Ctimes%20S%5E%7B2%7D%20%20%2F%20%20X%5E%7B2%7D%20%20%5Calpha%2F2%2C%20n-1%20%5D%20%3C%20%5Calpha%20%3C%20%5B%28n-%201%29%5Ctimes%20S%5E%7B2%7D%20%20%2F%20X%5E%7B2%7D%201-%20%5Calpha%2F2%2C%20n-%201%20%5D)
We are given
Confidence level = 98%
Sample size = n = 81
Degrees of freedom = n – 1 = 80
Sample Variance = S^2 = 3.23
![X^{2}_{[\alpha/2, n - 1]} = 112.3288\\\X^{2} _{1 -\alpha/2,n- 1} = 53.5401](https://tex.z-dn.net/?f=X%5E%7B2%7D_%7B%5B%5Calpha%2F2%2C%20n%20-%201%5D%7D%20%20%20%3D%20112.3288%5C%5C%5CX%5E%7B2%7D%20_%7B1%20-%5Calpha%2F2%2Cn-%201%7D%20%3D%2053.5401)
(By using chi-square table)
[(n – 1)*S^2 / X^2 α/2, n– 1 ] < σ^2 < [(n – 1)*S^2 / X^2 1 -α/2, n– 1 ]
[(81 – 1)* 3.23 / 112.3288] < σ^2 < [(81 – 1)* 3.23/ 53.5401]
2.3004 < σ^2 < 4.8263
Lower limit = 2.30
Upper limit = 4.83.
Answer: I got -6a + 48
Step-by-step explanation:I distributed and I got negative 6a because when you distributed the variable goes with whatever number is before it and I got 48 because -6 multiplied by 8 you get positive 48 because the 8 is bigger then the negative 6 so I don't know if your teacher wants you to solve for the answer but like I said I got -6a + 48