Answer:
95% Confidence interval of the standard deviation: 3.33 ≤ σ ≤ 8.85
Step-by-step explanation:
Sample size = 10
Degrees of freedom = 10-1 = 9
For a 95% confidence interval, we have α=0.05, which gives 2.5% of the area at each end of the chi-square distribution.
We calculate the chi-square values for a 95% confidence interval
Value of chi-square_0.975 = 2.70
Value of chi-square_0.025 = 19.02
We then evaluate [/tex] for the two values of chi-square.
Then we have:
[/tex]
With these results we can express the confidence interval as
3.33 ≤ σ ≤ 8.85
Y = (7/8)x + 6, as the gradient is around 1 and the intercept is close to 6
Answer:
sum= -3 product=-4
Step-by-step explanation:
2x^2-2x+8x-8
2x(x-1)+8(x-1)
(2x+8)(x-1)
x=-4 x=1
Answer:
25 degrees
Step-by-step explanation:
If two angle are complementary that means they add to 90 degrees. Therefore, 90 - 65 = 25.