Answer:

Step-by-step explanation:
We are given the following in the question:
Sample size, n = 67
Variance = 3.85
We have to find 80% confidence interval for the population variance of the weights.
Degree of freedom = 67 - 1 = 66
Level of significance = 0.2
Chi square critical value for lower tail =

Chi square critical value for upper tail =

80% confidence interval:

Putting values, we get,

Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.
Answer:
(f-g) (3x)=27x^3+12+2
Step-by-step explanation:
First lets write the following:
(f-g) (3x)= f(3x)-g(3x)
Now we need to find equivalent expression for f(3x) and for g(3x), we will obtaine them by evaluating 3x instead of x in every 'x' appearance.
Wi have>
g(3x)= -27x^3+4
f(x)=12x-2
Now, lets perfomr the desired operation.
f(3x)-g(3x)=27x^3+12+2
Answer:ids
Step-by-step explanation: