The table shows the advertised cost and total cost after sales tax is included to two items purchased.
1 answer:
You might be interested in
Answer:
The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.
The null hypothesis is accepted
A local power company believes that residents in their area use more electricity on average than EIA's reported average
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the mean of the Population = 10,608 kWh of electricity this year.
Given that the size of the sample n = 187
Given that mean of sample x⁻ = 10737 kWh
The Standard deviation of the Population = 1220kWh
Level of significance = 0.05
The critical value (Z₀.₀₅)= 1.96
<u><em>Step(ii):-</em></u>
Null Hypothesis: H₀:μ > 10608 kWh
Alternative Hypothesis: H₁: μ < 10608kWh
Test statistic
Z = 1.4460
<u>Final answer:-</u>
The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.
The null hypothesis is accepted
A local power company believes that residents in their area use more electricity on average than EIA's reported average.
We are given sides of the triangle by expression
First side : n
Second side : m = 5n-5.
Third side : l = 5/4 m - n.
Perimeter is 90.
Therefore, first equation could be set :
n +m +l = 90 --------------equation(1)
Second equation would be
m = 5n-5 --------------equation(2)
Third equation would be
l = 5/4 m - n --------------equation(3)
Let us solve the system of equations by substitution.
Substituting m = 5n-5 and l = 5/4 m - n in first equation.
We get
n +5n-5 +5/4 m - n= 90
Now, substituting m = 5n-5 in above equation we get
n +5n-5 +5/4 (5n-5) - n= 90
5n + 25n/4 -5 - 25/4 =90
5n + 6.25n -5-6.25 = 90.
11.25n-11.25 = 90
Adding 11.25 on both sides, we get
11.25n-11.25+11.25 = 90+11.25
11.25n = 101.25.
Dividing both sides by 11.25, we get
n=9.
Plugging n=9 in 2nd equation.
m = 5(9)-5 = 45 -5 = 40.
Plugging n=9 and m=40 in first equation, we get
9 +40 +l = 90
49 +l = 90.
Subtracting 49 from both sides, we get
49-49 +l = 90-49
l = 41.
Therefore, sides are of lengths l = 41, m= 40 and n=9.
Given:
a.) The population of Arizona is estimated to increase by 6.2% every year.
b.) The population was 4.18 million in 2016.
For us to be able to determine the population in 2022, we will be using the following formula:
Where,
P = Total population after time (t)
P₀ = Starting population = 4.18 million
r = Growth rate (in decimal form) = 6.2%/100 = 0.062
t = time (in years) = 2022 - 2016 = 6 years
e = Euler's number = 2.71828182845
We get,
Therefore, the population in 2022 will be approximately 6,063,646.