Answer:
y = 40
Step-by-step explanation:
Lets make an equation to represent the sum of the angles:
We know that the sum of angles of triangles equals 180 degrees. So based on this knowledge, the equation is :
2y + y + 10 + 50 = 180
Now we simplify:
2y + y = 3y
10 + 50 = 60
So our new equation is 3y + 60 = 180
Now all we have to do is simplify:
3y + 60 = 180
3y + 60 -60 = 180 - 60
3y = 120
3y / 3 = 120 / 3
y = 40
So the answer is 40 hope this helped
Answer:
The 95% confidence interval for the true proportion of Gastown residents living below the poverty line is (0.133, 0.2766).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.

In which
Z is the zscore that has a pvalue of
.
For this problem, we have that:
He takes a simple random sample of 122 people living in Gastown and finds that 25 have an annual income that is below the poverty line. This means that
and 
We have
, z is the value of Z that has a pvalue of
= 0.975, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the true proportion of Gastown residents living below the poverty line is (0.133, 0.2766).