Answer:
Step-by-step explanation:
To preface, your figure is going to be a line segment, with 
as your midpoint, in between points 
& 
With that being said:
Identify your values:
Substitute the values into the first equation:
Combine like terms:
Subtract 
from both sides of the equation:
Divide by the coefficient of 
, which is 
:
Substitute 
for in segments 
& 
:
Solve:
Check your answers by substituting:
Given: Security Service Company:
1.4 1.8 1.6 1.7 1.5 1.5 1.7 1.6 1.5 1.6
Mean: 1.59
Standard Deviation: 0.014333
Other companies: 1.8 1.9 1.6 1.7 1.6 1.8 1.7 1.5 1.8 1.7
Mean: 1.71
Standard deviation: 0.014333
The coefficient of variation for security Service Company:
CV = (Standard Deviation/Mean) * 100.
= (0.14333/1.59) * 100
= 9.01%
The coefficient of variation for other companies:
CV = (Standard Deviation/Mean) * 100.
= (0.014333 / 1.71) * 100
= 8.38%
the limited data listed here show evidence of stealing by the security service company's employees because there is a significant difference in the variation.
I'm not sure if this is a multiple choice question, so I will just solve the equation.
-5 (4x - 7) + 8 = 3x
-5 (4x + (-7)) + 8 = 3x
1. Distributive Property of Multiplication
(-5)(4x) + (-5)(-7) + 8 = 3x
2. Simplify
-20x + (-35) + 8 = 3x
3. Simplify again
-20x - 27 = 3x
4. Add 27 to both sides and then subtract 3x from both sides to get all the x's by themselves on the same side
-20x - 27 + 27 = 3x + 27
-20x - 3x = 3x + 27 - 3x
5. Simplify
-23x = 27
6. Divide
-23x / -23 = 27 / -23
7. Simplify
Answer:
<h2>
x = - 27/23 ≈ -1.17</h2>
Hope this helps!
Answer:
annual growth rate m = 637.5 people / year
Step-by-step explanation:
Solution:-
- The scatter plot displaying the city's population was modeled by a linear equation of the form:
y = m*x + c
Where, m and c are constants.
- The scatter plot displayed the following relation of the city's population (p):
p = 637.5*t + 198,368.1
Where, p : The population in t years after after 1990
t : The number of years passed since 1990.
- The slope of the graph "m = 637.5" denotes the rate of change of dependent variable with respect ot independent variable:
dp / dt = m = 637.5
- So the rate of change of population per unit time t since 1990 has been constant with a an annual growth rate m = 637.5 people / year
