Let's solve this problem step-by-step.
First of all, let's establish that supplementary angles are two angles which add up to 180°.
Therefore:
Equation No. 1 -
x + y = 180°
After reading the problem, we can convert it into an equation as displayed as the following:
Equation No. 2 -
3x - 8 + x = 180°
Now let's make (y) the subject in the first equation as it is only possible for (x) to be the subject in the second equation. The working out is displayed below:
Equation No. 1 -
x + y = 180°
y = 180 - x
Then, let's make (x) the subject in the second equation & solve as displayed below:
Equation No. 2 -
3x - 8 + x = 180°
4x = 180 + 8
x = 188 / 4
x = 47°
After that, substitute the value of (x) from the second equation into the first equation to obtain the value of the other angle as displayed below:
y = 180 - x
y = 180 - ( 47 )
y = 133°
We are now able to establish that the value of the two angles are as follows:
x = 47°
y = 133°
In order to determine the measure of the bigger angle, we will need to identify which of the angles is larger.
133 is greater than 47 as displayed below:
133 > 47
Therefore, the measure of the larger angle is 133°.
The outlier is a because it is the most different value compared to the rest.
36.3 because the digit in the hundredths place is not 5 or greater
Answer: 
Step-by-step explanation:
Confidence interval for population mean is given by :-
(1)
, where 
= Sample mean
= Critical z-value
= Population standard deviation.
n= Sample size.
As per given , we have
n= 610
Significance level for 85% confidence : 
By z-table critical two tailed z-value : 
Put all values in (1) , we get
Hence, the 85% confidence interval for the mean consumption of meat among people over age 40. =
Hi there!
4/10 = (4*10)/(10*10) = 40/100
40/100 + 28/100 = 68/100
68/100 = 34/50 = 17/25
Hope this helps!
