Given:
The statement is:
{5, 6, 7} = {5, 5, 6, 7, 7}
To find:
Whether the given statement is true or false.
Solution:
Two sets are equal if they have exactly the same elements.
The given set {5, 6, 7} has three elements and the set {5, 5, 6, 7, 7} has five elements but we known that all the elements of a set are distinct. It means, it has no repeated element.
Set {5, 5, 6, 7, 7} has three distinct elements 5, 6, 7. So,
{5, 5, 6, 7, 7} = {5, 6, 7}
Therefore, the given statement is true.
Answer:
Step-by-step explanation:
The slope can be calculated using two points, (2, 60) and (4, 50) as shown below:
, where,
Plug in the values into the equation
Answer:
Step-by-step explanation:
Given radical is 
We can rewrite the radical as,
(Since, i = 
)
Therefore, simplified form of the given radical will be,
<h3>Answer:</h3>
A
Step-by-step explanation:
{-32, 9, 11, 12}
first, find the mean (Find the sum of the data values, and divide the sum by the number of data values )
(-32) + 9 + 11 + 12 = 0
0/0 = 0
then, find the absolute value of the difference between each data value and the mean: |data value – mean|.
-32 - 0= -32
9 -0 = 9
11 -0 = 11
12 -0 = 0
finally, find the sum of the absolute values of the differences. Divide the sum of the absolute values of the differences by the number of data values.
0 - 0 / 4 = 0
answer is 0 (A)
Answer:
b = 7
Step-by-step explanation:
7b - 3 = 6b + 4
1. subtract 6b on both sides of the equation
b - 3 = 4
2. add 3 to both sides
b = 7
