= 16 + 49 - 3(11) - 4(10)
= 16 + 49 - 33 - 40
= -8
Answer:
radius for this cylinder is 12 yd
Step-by-step explanation:

Here we will find radius, height given 15, π as 3.14
using the formula:
πr²h = 6,782.4
(3.14)(r²)(15) = 6,782.4
(r²)(47.1) = 6,782.4
r² = 
r² = 144
r = √144
r = 12
Answer:
See explanation
Step-by-step explanation:
<u>Question 1. </u>Write two-column proof.
Statement Reason
1.
Given
2.
Distributive Property of Equality
3.
Subtraction Property of Equality
4.
Division Property of Equality
<u>Question 2.</u>
Statement Reason
1.
Given
2.
Given
3.
Angle Addition Postulate
4.
Substitution Property of Equality
5.
is a right angle Definition of a right angle
6.
is a right triangle Definition of a right triangle
<u>Question 3:</u>
Statement Reason
1.
and
are supplementary Given
2.
Definition of supplementary angles
3.
Given
4.
Substitution Property of Equality
5.
Subtraction Property of Equality
Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The population proportion is 
The margin of error is 
Given that the confidence level is 90%
Then the level of significance can be mathematically represented as



Next we obtain the level of significance from the normal distribution table the value is

Generally the sample size is mathematically represented as
![n = [ \frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * p(1- p )](https://tex.z-dn.net/?f=n%20%20%3D%20%5B%20%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20%20p%281-%20p%20%29)
substituting values
![n = [ \frac{1.645 }{0.04} ]^2 * 0.45(1- 0.45 )](https://tex.z-dn.net/?f=n%20%20%3D%20%5B%20%5Cfrac%7B1.645%20%7D%7B0.04%7D%20%5D%5E2%20%2A%20%200.45%281-%200.45%20%29)
