Answer:
3.14
Step-by-step explanation:
First find the circumference of the circle:
= Circumference.
= 
Find the ratio of the angle in relation to the entire circle:
is what we have. So:

Use the ratio and multiply the circumference to find the length:
= 
Round answer to the hundredth:
Answer:
The width is 
Step-by-step explanation:
From the question we are told that
The population standard deviation is 
The sample size is 
The sample mean is 
Given that the confidence level is 99% then the level of significance is mathematically represented as

=> 
=> 
Next we obtain the critical value of
from the normal distribution table, the value is

Generally margin of error is mathematically represented as

substituting values



The width of the 99% confidence interval is mathematically evaluated as

substituting values


Answer:
28 degrees
Step-by-step explanation:
step 1
Find the measure of angle 1
----> by supplementary angles

step 2
Find the value of x
----> by corresponding angles
substitute


step 3
Find the measure of angle 2
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

substitute

