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:
X=20 degree
Step-by-step explanation:
∆A+∆D+∆O=180
2x+10+2x+90=180
collect like terms
2x+2x=180-100
4x=80
(4x)/4=(80)/4
x=20 degree
Step-by-step explanation:
first let's get the original line in slope intercept form.
the vegetal slope intercept form is
y = ax + b
a is the slope, b is the y-intercept.
2x + y = 5
y = -2x + 5
there !
a line parallel to this line must have the same slope (-2).
but it will intersect with the y-axis at a different point.
the y-intersect is the y value when x = 0.
the given point (0, 1) is already that y-intersect (because x=0).
so, the desired parallel line function is
y = -2x + 1
if we had a different point of the line, e.g. (4, -7), we would go back to the general equation
y = ax + b
put in the slope we know (-2)
y = -2x + b
and then put in the x and y cakes if the point and calculate b
-7 = -2×4 + b
-7 = -8 + b
b = 1
and then we get again
y = -2x + 1
#2 or B is not a function because it has 3 as X twice
