Answer:
The standard deviation of the data set is 
.
Step-by-step explanation:
The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)
To find the standard deviation of the following data set
we use the following formula
Step 1: Find the mean 
.
The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:
Step 2: Create the below table.
Step 3: Find the sum of numbers in the last column to get.
Step 4: Calculate σ using the above formula.
Answer:
x = -2 + 2 i or x = -2 - 2 i
Step-by-step explanation:
Solve for x:
x^2 + 4 x + 8 = 0
Subtract 8 from both sides:
x^2 + 4 x = -8
Add 4 to both sides:
x^2 + 4 x + 4 = -4
Write the left hand side as a square:
(x + 2)^2 = -4
Take the square root of both sides:
x + 2 = 2 i or x + 2 = -2 i
Subtract 2 from both sides:
x = -2 + 2 i or x + 2 = -2 i
Subtract 2 from both sides:
Answer: x = -2 + 2 i or x = -2 - 2 i
Answer:
h = -9
Step-by-step explanation:
Distribute the 2 to the parentheses:
5h + 2(11 - h) = -5
5h + 22 - 2h = -5
Add like terms:
3h + 22 = -5
3h = -27
h = -9
Answer:
0.67
Step-by-step explanation:
To solve this we are going to use this lovely equation
P%•X=Y
Y is our end product
X in this case is 45
and P% is our percent
Now let's multiply 4% which becomes .004 by 45 and we get 1.8 which since there isn't 1.8 in American currency that becomes $1.80
We do the same process with the 2.5
0.025•45=1.125
Again not in the American currency so we will round 5 up and now we have $1.13
Now we subtract 1.80-1.13 which gets us 0.67 cents.
Hope I was helpful,
Your friendly neighborhood struggling student
Toodles
Answer:
X^2+ 2x+35
Step-by-step explanation:
Use pemdas. Multiply the parentheses. Multiply. Collect like terms. Remove the parentheses.
