Write an equation in point-slope form for a line that passes through the point with the given slope. (5,3), m=7
1 answer:
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Answer:
So on this case the 95% confidence interval would be given by (315839.52;324416.48)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n=529 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
Since the Confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by (315839.52;324416.48)
1) first do the integer part
2) then do the exponent part
3) Once you do the first two steps... adjust your answer to scientific notation...
Answer:
The correct answer is .
Step-by-step explanation:
There are 135 people in a sport centre.
Let the experiment be to pick a person from the sport centre who only uses exactly one of the facilities.
Total number of possible outcomes = 135
For the gym:
77 people use the gym.
27 people use the gym and the pool.
31 people use the gym and the track.
4 people use all three facilities.
Total number of people using only the gym are 77 - ( 27 + 31 + 4) = 15
For the swimming pool:
62 people use the swimming pool.
27 people use the gym and the pool.
23 people use the pool and the track.
4 people use all three facilities.
Total number of people using only the swimming pool are 62 - ( 27 + 23 + 4) = 8
For the tracks:
65 people use the track.
23 people use the pool and the track.
31 people use the gym and the track.
4 people use all three facilities.
Total number of people using only the tracks are 65 - ( 23 + 31 + 4) = 7
A person is selected at random.
Favorable outcomes = 7 + 8 + 15 = 30
Probability that the person uses exactly one of the facilities = =
.