Answer:
what line
Step-by-step explanation:
Answer:
a) margin of error ME = 5.77
b) Margin of error becomes smaller
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
x+/-ME
Where margin of error ME = zr/√n
a)
Given that;
Mean = x
Standard deviation r = 25
Number of samples n = 72
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
ME = 1.96(25/√72)
ME = 1.96(2.946278254943)
ME = 5.774705379690
ME = 5.77
b)
For n = 89
ME = 1.96(25/√89)
ME = 1.96(2.649994700015)
ME = 5.193989612031
ME = 5.19
5.19 is smaller than 5.77 in a) above. So,
Margin of error becomes smaller
Make denomenators the same
times left denomenator by (x+3)/(x+3) and right one by (x-9)/(x-9)

=

=

=

if expandded we get
Answer:
15
Step-by-step explanation:
900 light bulbs per hour
60 minutes per hour
X lightbulbs per minute
Divide 900 lightbulbs by 60 minutes
15
The rate is 15 light bulbs per minute
Answer:
1) Function h
interval [3, 5]
rate of change 6
2) Function f
interval [3, 6]
rate of change 8.33
3) Function g
interval [2, 3]
rate of change 9.6
Step-by-step explanation:
we know that
To find the average rate of change, we divide the change in the output value by the change in the input value
the average rate of change is equal to
step 1
Find the average rate of change of function h(x) over interval [3,5]
Looking at the third picture (table)
Substitute
step 2
Find the average rate of change of function f(x) over interval [3,6]
Looking at the graph
Substitute
step 3
Find the average rate of change of function g(x) over interval [2,3]
we have

Substitute
therefore
In order from least to greatest according to their average rates of change over those intervals
1) Function h
interval [3, 5]
rate of change 6
2) Function f
interval [3, 6]
rate of change 8.33
3) Function g
interval [2, 3]
rate of change 9.6