Answer:
Confidence Interval in 95% confidence level for the quality rating is (6.06,7.46)
Step-by-step explanation:
Confidence Interval can be calculated using the formula M±ME where
- M is the mean of the sample
- ME is the margin of error in a given confidence level
Using the sample obtained from 50 business travelers we get
- Mean of the sample is 6.76
- standard deviation of the sample is 2.526
Margin of error (ME) around the mean using the formula
ME=
where
- z is the corresponding statistic in 95% confidence level (1.96)
- s is the standard deviation of the sample (2.526)
- N is the sample size (50)
Using the numbers in the formula we get:
ME=
≈ 0.70
Then the confidence interval becomes 6.76±0.70
Answer:
The resulting function after the sequence of transformations is 
Step-by-step explanation:
Given a function f(x)
- the function a*f(x) will be a vertical stretch of factor a, given a > 1
- the function f(x) + b will be the translated function vertically up b units
- the function f(x+c) will be horizontally translated function of the original by c units left
Remembering these points, we can apply the rules to 
.
- Strech vertically by 3 would be
- translate up 1 unit would be
- translate left 2 units would make it
Hence the new function would be
The maximum number of parking spaces that will fit in the lot given the area of the parking lot is 30.
<h3>what is the maximum number of parking spaces that will fit in the lot? </h3>
The parking lot has the shape of a rectangle. The area of a rectangle is length x width
The area of the available parking space = length of the lot - [width of the lot - (width of the alley x 2)
80 x (77 - 10 - 10) = 4560 ft²
Maximum number of parking spaces = 4560 / (19 x 8) = 30
Please find attached the complete question. To learn more about how to calculate the area of a rectangle, please check: brainly.com/question/16595449
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Answer: x=9 is an extraneous solution
Step-by-step explanation:
Given
Function is 
for function to exist
Therefore, 9 satisfies the above equation. It is it's extraneous solution.
Answer:
n = 3 2/7
Step-by-step explanation:
First of all, look at what you have.
It is a linear equation in n, with several layers of operations performed on it.
You can solve this a couple of ways. (1) Simplify the equation to a 2-step linear equation; (2) Undo the operations done on the variable.
__
(1) -5 +18 +21n = 82 . . . eliminate parentheses
21n = 69 . . . . . . . . . . subtract 13
n = 69/21 = 23/7 . . . . divide by the coefficient of n and reduce the fraction
n = 3 2/7
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(2) 3(6 +7n) = 87 . . . . . . add 5
6 +7n = 29 . . . . . . . . . divide by 3
7n = 23 . . . . . . . . . . . . . subtract 6
n = 23/7 . . . . . . . . . . . . divide by the coefficient of n
n = 3 2/7 . . . . write as a mixed number
