Answer:
a) Sample mean: 48.71
Sample median: 48.3
Sample variance: 5.41
Sample standard deviation: 2.37
Step-by-step explanation:
a) Sample mean:

Sample median: M=48.3
Note: I order the data increasingly and take the value N / 2 = 40. In this way there are 39 values above and 39 values below the median.
Sample variance:

Sample standard deviation

b)
The answer is that measure of angle eight is 130°
Answer:
1. b d
2. is c or d
3. a or c
4. b or c
5. c
Step-by-step explanation:
E(x) = 57(18/38) - 57(20/38) = 27 - 30 = -3
Therefore, expected value is a loss of $3.
Answer: The correct option is, (B) Addition property
Step-by-step explanation:
- Addition property : In this property, whatever is added to one side of the equal sign must be added to the other side.
For example : If x = y then x + z = y + z
- Multiplication property : In this property, whatever is multiplied to one side of the equal sign must be multiplied to the other side.
For example : If x = y then x × z = y × z
- Transitive property : If one value (x) is equal to the another value (y), which is equal to the another value (z), then the first value (x) is equal to the third value (z).
For example : If x = y and y = z then x = z
The given inequality expression is,
5x - 9 < 91
5x -9 + 9 < 91 + 9
(Using Addition property because we are adding 9 on both the side)
5x < 100
5x ÷ 5 < 100 ÷ 5
(Using Division property because we are dividing by 5 on both the side)
x < 20
Therefore, addition property is used in the second step of solving the inequality.