4(x + 2) - 1/2x = 22
4x + 8 - 1/2x = 22
3.5x + 8 = 22
-8 -8
3.5x = 14
/ 3.5 /3.5
x = 4
Answer:
56
Step-by-step explanation:
Prove:
Using mathemetical induction:
P(n) = 
for n=1
P(n) =
= 6
It is divisible by 2 and 3
Now, for n=k, 
P(k) = 
Assuming P(k) is divisible by 2 and 3:
Now, for n=k+1:
P(k+1) = 
P(k+1) = 
P(k+1) = 
Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also
divisible by 2 and 3.
Hence, by mathematical induction, P(n) =
is divisible by 2 and 3 for all positive integer n.
Given the data set (18,14, 12, 14, 11, 11, 19, 20, 16, 11), which statements are correct?
Anuta_ua [19.1K]
The correct statement is that the <u>range of the data is 9</u>
<h3>Range of a data</h3>
The formula for calculating the range of data is expressed as:
Range = Highest value - Lowest value
From the given data
- Highest value = 20
- Lowest value = 11
Substituting into the formula
Range = 20 - 11
Range = 9
Hence the correct statement is that the <u>range of the data is 9</u>
Learn more on range here: brainly.com/question/2264373