Answer:
C
Step-by-step explanation:
Answer:
a
The null hypothesis is 
The alternative hypothesis is 
b
The sample proportion is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 546
The number of people that use a laptop overnight is 
The population proportion is 
Generally
The null hypothesis is 
The alternative hypothesis is 
Gnerally the sample proportion is mathematically represented as

=> 
=> 
Answer: 121.52 square feets
Step-by-step explanation:
The room has the shape of a rectangle and its dimensions are 12.4 feet long and 9.8 feet wide. This means that dimension of the carpet is also 12.4 feet long and 9.8 feet wide. To replace the rectangular carpet with tiles, the area of the tiles must be equal to the area of the carpet. The area of the carpet is determined by length × width.
Length of the room or carpet = 12.4 feets
Width of the room or carpet = 9.8 feets
The number of square feets of tiles that Wes will need
=12.4 ×9.8 = 121.52 square feets
Answer:
45°
Step-by-step explanation:
Let's understand "supplement" and "complement" -- basics of geometry of angles.
- When we say two angles, a & b, are supplementary, we mean that both ADD up to 180.
- When we say two angles, a & b, are complementary, we mean that both ADD up to 90.
<em><u>If we have given an angle, such as "x", to find its supplement, we subtract the angle from 180. Similarly, we would need to subtract the angle x from 90 if we were to find the complement of the angle.</u></em>
<em><u /></em>
We want to find complement of 45, so we subtract 45 from 90 to get:
90 - 45 = 45°
Hence, the complement of a 45° angle = 45°