The box office took in a total of $2905 in paid admissions for the high-school musical. Adult tickets cost $8 each, and student
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Answer:
Step-by-step explanation:
Exponential growth function is
Where 'a' is the initial population
r is the rate of growth and x is the time period in years
a steady population of 32,000. So initial population is 32,000
an increase of 8% per year. the rate of increase is 8% that is 0.08
a= 32000 and r= 0.08
Plug in all the values in the general equation
Answer:
95% confidence interval for the mean credit hours taken by a student each quarter is [14.915 hours , 15.485 hours].
Step-by-step explanation:
We are given that a random sample of 250 students at a university finds that these students take a mean of 15.2 credit hours per quarter with a standard deviation of 2.3 credit hours.
Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;
P.Q. = ~
where, = sample credit hours per quarter = 15.2 credit hours
s = sample standard deviation = 2.3 credit hours
n = sample of students = 250
= population mean credit hours per quarter
<em>Here for constructing 95% confidence interval we have used One-sample t test statistics as we know don't about population standard deviation.</em>
So, 95% confidence interval for the population mean, is ;
P(-1.96 < < 1.96) = 0.95 {As the critical value of t at 249 degree of
freedom are -1.96 & 1.96 with P = 2.5%}
P(-1.96 < < 1.96) = 0.95
P( <
<
) = 0.95
P( <
<
) = 0.95
<u><em>95% confidence interval for</em></u> = [
,
]
= [ ,
]
= [14.915 hours , 15.485 hours]
Therefore, 95% confidence interval for the mean credit hours taken by a student each quarter is [14.915 hours , 15.485 hours].
<em>The interpretation of the above confidence interval is that we are 95% confident that the true mean credit hours taken by a student each quarter will be between 14.915 credit hours and 15.485 credit hours.</em>
Alright, lets get started.
Last year, Ronnie's utility expenses were = 1935.67 $
After switching to electric water heater to solar water heater, his yearly utility bills get reduced.
This year, Ronnie's utility expenses are = 862.40 $
So the difference on utility bills Ronnie saved =
so, difference Ronnie saved = 1073.27 $
So, the percentage of amount Ronnie saved =
Percentage of amount Ronnie saved = 55.45 %
Hence, 55.45 % Ronnie save on his utlility bills by switching to a solar water heater. : Answer
Hope it will help :)