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2 answers:
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Answer: (1.5, 3.5)
Explanation:
Find the slope by using the coordinates for points L and K.
3 - 4 = -1
5 - (-2) = 7
Slope = -1/7
Then you plot your points on the graph.
But you want to half your slope to find the midpoint. So your slope would now be -0.5/3.5.
And when you follow that slope, you will plot down the coordinate (1.5, 3.5), which is the midpoint.
Hope this helped! :3
(Also don’t mind the 19 at the top left)
Explanation:
Find the slope by using the coordinates for points L and K.
3 - 4 = -1
5 - (-2) = 7
Slope = -1/7
Then you plot your points on the graph.
But you want to half your slope to find the midpoint. So your slope would now be -0.5/3.5.
And when you follow that slope, you will plot down the coordinate (1.5, 3.5), which is the midpoint.
Hope this helped! :3
(Also don’t mind the 19 at the top left)
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:
We are given
Confidence level = 98%
Sample size = n = 81
Degrees of freedom = n – 1 = 80
Sample Variance = S^2 = 3.23
(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.