The total population of the town is 2270 people.
Answer:
<em>The maximum number of kilowatt-hours is 235</em>
Step-by-step explanation:
<u>Inequalities</u>
Robert's monthly utility budget is represented by the inequality:
0.1116x + 23.77 < 50
Where x is the number of kilowatts of electricity used.
We are required to find the maximum number of kilowatts-hours used without going over the monthly budget. Solve the above inequality:
0.1116x + 23.77 < 50
Subtracting 23.77:
0.1116x < 50 - 23.77
0.1116x < 26.23
Dividing by 0.1116:
x < 26.23/0.1116
x < 235
The maximum number of kilowatt-hours is 235
First align the decimal points and the numbers, then add the extra 0's if needed. Lastly, add and the total answer is 14.225.
Answer:
a. z = 2.00
Step-by-step explanation:
Hello!
The study variable is "Points per game of a high school team"
The hypothesis is that the average score per game is greater than before, so the parameter to test is the population mean (μ)
The hypothesis is:
H₀: μ ≤ 99
H₁: μ > 99
α: 0.01
There is no information about the variable distribution, I'll apply the Central Limit Theorem and approximate the sample mean (X[bar]) to normal since whether you use a Z or t-test, you need your variable to be at least approximately normal. Considering the sample size (n=36) I'd rather use a Z-test than a t-test.
The statistic value under the null hypothesis is:
Z= X[bar] - μ = 101 - 99 = 2
σ/√n 6/√36
I don't have σ, but since this is an approximation I can use the value of S instead.
I hope it helps!
