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:
Step-by-step explanation:
The question is not totally clear. I will assume that the spinner has 2 colors, red and blue.
Your chances of rolling a 3 are 1 in 6 = 1/6
Your chance of getting blue is 1/2
Your chances are 1/2 * 1/6 = 1/12
As a decimal that is 0.0833333
As a % it is 8.3333 %
Answer: 25%
Step-by-step explanation:
Given: A rectangle has length 4 inches and width 2 inches.
Area = Length x width
= 4 inches x 2 inches
= 8 square inches
If length is reduced by 50% , then length 
If width is reduced by 50% , then length 
Reduced area = (reduced length) x (reduced width)
= 2 inches x 1 inch
= 2 square inches
The percentage of the area of the rectangle be reduced :-

Hence, the percent of the area of the rectangle be reduced = 25%
S(2)=s(1)+3
s(3)=2(s(2)) now they say that s(3)=38 then:
2(s(2))=38
s(2)=19, and from earlier s(2)=s(1)+3 we get:
s(1)+3=19
s(1)=16
So sales for the first year was 16 million dollars.