Answer:
The cardinality is 6.
Step-by-step explanation:
The cardinality of a set is a measure of the number of elements in the set. The set S has 6 elements, characters as listed, therefore we say the cardinality of the set S is 6, or |S|=6.
X - 15 = 30
=> x = 30 + 15 = 45
2(x + 5) = 2(45 + 5) = 2(50) = 100
The answer is going to be 4. Hope that helped.
Answer:
see below
Step-by-step explanation:
Part 1: 5(2x - 4) = 30.
Distribute
10x -20 = 30
Add 20 to each side
10x-20+20 =30+20
10x = 50
Divide by 10
10x/10 = 50/10
x =5
Part 2: 5x + 3 - x + 2 = 41
Combine like terms
4x +5 = 41
Subtract 5 from each side
4x+5-5 = 41-5
4x = 36
Divide by 4
4x/4 = 36/4
x = 9
Given:
The data set is 13, 14, 15, 6, 17, 16, 3.
To find:
The mean absolute deviation for the data set.
Solution:
We have,
13, 14, 15, 6, 17, 16, 3
Mean of the data set is:




The formula for mean absolute deviation is:

Using this formula, the mean absolute deviation for the data set is:




Therefore, the mean absolute deviation for the data set is about 4.29.