Answer:
And the 90% confidence interval would be between [566.80 and 579.20]
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
s=22 represent the sample standard deviation
n=36 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence level is 0.90 or 90%, the significance would be and , and the critical value for this case would be
And replacing we got:
And the 90% confidence interval would be between [566.8033 and 579.1967]
<h3>Answer: 8 people</h3>
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Work Shown:
x = number of people
y = cost per person
The cost per person varies inversely with the number of people, so y = k/x for some fixed number k.
"It costs $90 each for five people", meaning that x = 5 and y = 90 pair up. Plug these values in and solve for k.
y = k/x
90 = k/5
90*5 = k
450 = k
k = 450
Therefore the equation updates to y = 450/x
Now we want to know how many passengers there are (x) when the cost per person is y = 56.25
Let's find out:
y = 450/x
56.25 = 450/x ... replace y with 56.25
56.25x = 450
x = 450/56.25
x = 8
If you have 8 people, then it costs $56.25 per person.
side note: the total cost is $450 which is the value of k we found earlier. Divide 450 over 8 and you should get 56.25 exactly. Optionally you can turn y = k/x into x*y = k form. So the equation y = 450/x is the same as x*y = 450.
Answer:
x = 67
Step-by-step explanation:
180 - 113 = 67
Step-by-step explanation:
please see below the surface for guguvuvusgEjsvjdjdbudkxbekxb a great time and I have been working with me on this email has changed since the first to know what I can get it done before a half day city and a half of my resume is called a half of it in a few of them and they have not been a long term business association
Answer: angle A should be 24x and angle c should be 21x
Step-by-step explanation:(12x + 12) = 24x/ (3x + 18) = 21x