Answer:
y = -9x - 82
Step-by-step explanation:
Line with slope m=-9 passing through A(x1, y1) =A(-9,-1)
y-y1 = m(x-x1)
Substitute values
y-(-1) = -9(x-(-9)
y+1 = -9x -81
y = -9x - 82
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)
Answer:
One possibility is to work for (10) hours as a babysitter, and (10) hours as a cashier.
Step-by-step explanation:
An easy way to solve this problem is to set up a system to model the situation. Create one equation to model the money make, and the other to model the time spent. Let parameters (x) and (y) represent the time one spends at each job.
Since one cannot spend more than (20) hours a week working, set the first equation, for time, equal to (20),
x + y = 20
Now multiply each unit for the time by the money earned at each job, set this new equation equal to (150), the minimum amount of money one wishes to earn,
6(x) + 9(y) = 150
Thus the system is the following,
Now use the process of elimination. The process of elimination is when one multiplies one of the equations by a term such that when one adds the two equations, one of the variables cancels. One can solve for the other variable, and then backsolve for the first variable. Multiply the first equation by (-6) so that the variable (x) cancels.
Add the two equations,
Use inverse operations to solve for (y),
Now substitute the value of (y) back into one of the original equations and solve for (x),
The formula to find The area of a triangle is base*height/2.
They have given the base which is 41.5ft and the height which is 36ft.
input that into the formula:
b*h/2
41.5*36/2
=1494/2
=747ft
So the Area = 747ft