Answer:


Step-by-step explanation:
A) If AB is a diameter, Then ACB is a 90 degrees angle because In a semi-circle (AB is a diameter which divides the circle into 2 equal parts), the angle opposite to the diameter is of 90 degrees.
So, <ACB = 90 degrees
Then <a = 180-90-28
=> <a = 62 degrees
B) The opposite interior angles of a quadrilateral inscribed in a circle add up to 180 degrees.
So,
=> <a + <b = 180
=> <b = 180-62
=> <b = 118 degrees
r= 9 because 45/5 is 9 and it works the same way for the rest of the problems.
Answer:
so its the second one (1.28 , -3.68)
Step-by-step explanation:
its (32/25 , -92/25)
which equals to (1.28,-3.68)
Answer:
1. The ratio of milk cartons taken to total milk cartons,
70 - 10 = 60 were taken
73/100 is the ratio of milk cartons taken to total milk cartons
2. The ratio of milk cartons remaining to milk cartons taken
10 / 60 is the ratio of milk cartons remaining to milk cartons take
Answer:
Question 1:
(b) 4,445
Question 2:
(c) 2.1%
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is of:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Question 1:
We have no previous estimate for the population proportion, so we use
.
The sample size is n for which M = 0.015. So






Samples above this value should be used, and the smaller sample above this value is of 4445, so the answer is given by option b.
Question 2:
Now we find M for which
.



So 2.1%, and the correct answer is given by option c.