Answer:
a) $86.11
b) $467.33
Step-by-step explanation:
no. of gallons saved 'n' per year
n = (10000/33) - (10000/36)
n = 2500/99
Amount saved = 3.41×n = 3.41×2500/99
= $86.11
b) over 5 years:
86.11( 1 + (1.041) + (1.041)² + (1.041)³ + (1.041)⁴ )
= 86.11(5.427157431)
= $467.33
Answer:
Step-by-step explanation:
Data given and notation
n=1000 represent the random sample taken
estimated proportion of residents that favored the annexation
is the value that we want to test
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.5:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion
is significantly different from a hypothesized value
.
Calculate the statistic
Since we have all the info required we can replace in formula (1) like this:
Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The next step would be calculate the p value for this test.
Since is a right tailed test the p value would be:
Answer:
The answer would be B!
Step-by-step explanation:
In the chart if you divide the number of days over due to the cost of the fine, you get 5/2 every time. therefore, if y is the cost in cents and x is the days overdue, you would multiply x5/2 or y=5/2x, so your answer is B (y=5/2x).
hoped this helped :D
Answer:
Step-by-step explanation:
Triangles EFG and FGH are similar.
x/15 = 36/39
x/15 = 12/13
x = 15*12/13 = 180/13 ≈ 13.8 units
Answer: c. x=2 or x=3
Hope this helped! :)