Answer:
The 99% confidence interval is 
Step-by-step explanation:
From the question we are told that
The sample size is 
The sample mean is 
The standard deviation is 
Given that confidence is 99% then the level of significance is mathematically represented as


Next we obtain the critical values of
from the normal distribution table
The value is
Generally the margin for error is mathematically represented as

=> 
=> 
The 99% confidence interval is mathematically represented as

=> 
=> 
There are three more angles with the same measure. A pair of corresponding angles and a pair of vertical angles.
Answer:
Step-by-step explanation:
<u>The diameter is the hypotenuse of the triangle:</u>
- d = √8²+6² = √100 = 10 cm
<u>Area of the semicircle:</u>
- A = 1/2πr² = 1/2(3.14)(10/2)² = 39.25 cm²
<u>Area of the triangle:</u>
- A = 1/2bh = 1/2(6)(8) = 24 cm²
<u>Shaded area:</u>
Answer:
a
Step-by-step explanation: