Solution :
Given :
Sample mean, 
Sample size, n = 129
Sample standard deviation, s = 8.2
a. Since the population standard deviation is unknown, therefore, we use the t-distribution.
b. Now for 95% confidence level,
α = 0.05, α/2 = 0.025
From the t tables, T.INV.2T(α, degree of freedom), we find the t value as
t =T.INV.2T(0.05, 128) = 2.34
Taking the positive value of t, we get
Confidence interval is ,
(32.52, 35.8)
95% confidence interval is (32.52, 35.8)
So with 
confidence of the population of the mean number of the pounds per person per week is between 32.52 pounds and 35.8 pounds.
c. About of confidence intervals which contains the true population of mean number of the pounds of the trash that is generated per person per week and about 
that doe not contain the true population of mean number of the pounds of trashes generated by per person per week.
Answer:
<u>For this equation the value of x is - 2/3</u>
Step-by-step explanation:
1. Resolving the equation 2/3-4x+7/2=-9x+5/6
-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)
5x = (5/6 - 4/6 -21/6)
5x = -20/6
x = - 20/6 /5 (Dividing by 5 at both sides)
x = -20/6 * 1/5
<u>x = -4/6 = - 2/3 (Simplifying)</u>
2. Proof of replacing x by -2/3
2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6
2/3 + 8/3 + 7/2 = 18/3 + 5/6
10/3 + 7/2 = 6 + 5/6
20 + 21 = 36 + 5 (Multiplying by 6 at both sides)
41 = 41
<u>It means the value of -2/3 for x is correct</u>
Note: Same answer than 13866851
Answer:
her language arts hw takes longer and it takes 2/9 hr longer
Step-by-step explanation:
first of all, 4/9 > 2/9
4/9-2/9=2/9
