Answer:
D
Step-by-step explanation:
The average profit from the sale of 1 piece of furniture = x+4
The average number of pieces of furniture that can be made using the current supply of raw materials = x - 4
The average profit = The average profit from the sale of 1 piece × The average number of pices that can be made
Hence,
Use the difference of squares formula:
Answer:
64, 16/25, .64 --- 12.5, 1/8, 0.125 --- 140, 1 2/5, 1.4 --- 275, 2 3/4, 2.75 --- 8, 2/25, 0.08
Step-by-step explanation:
Hope you get this in time! :D
Let's see.
We have function . We have to determine if the function is even or odd or neither.
We can find this out in many ways but the assignment specifically asks to prove this algebraically.
Function is even if , so,
Which is true since negative raised to an even power is positive to that same number.
Similarly, function is odd if , that is,
.
So we have prooved that function is an even function not an odd function and therefore also not neither.
Hope this helps.
Answer:
σ = 3.08
Step-by-step explanation:
Given
6, 5, 13, 8
Required
Standard Deviation
Take note of the following highlighted steps
1. Calculate the Mean
Mean = summation of data ÷ number of data
Summation = 6 + 5 + 13 + 8
Summation = 32
Number of data = 4
Mean = 32/4
Mean = 8
2. Subtract the mean from given data
6:-> 6 - 8 = -2
5:-> 5 - 8 = -3
13:-> 13 - 8 = 5
8:-> 8 - 8 = 0
We have; -2, -3, 5, 0
3. Square these results
-2:-> -2² = 4
-3:-> -3² = 9
5:-> 5² = 25
0:-> 0² = 0
We have: 4, 9, 25, 0
4. Calculate the mean of these results
Mean = summation of data ÷ number of data
Summation = 4 + 9 + 25 + 0
Summation = 38
Number of data = 4
Mean = 38/4
Mean = 9.5
Step 5: Take square root of the above
Standard Deviation, σ = √9.5
σ = 3.08220700148
σ = 3.08 (Approximated)