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:
Distribute, then combine like terms, subtract 10 from both sides of the equation, simplify, divide both sides of the equation by the same term, and simplify to get your solution.
Step-by-step explanation:
1.) Distribute
6−2(4−5)=40
6−8+10=40
2.) Combine like terms
6a-8a+10=40
-2a+10=40
3.) Subtract 10 from both sides of the equation
-2a+10=40
-2a+10-10=40-10
4.) Simplify
subtract the numbers
-2a+10-10=40-10
-2a=40-10
subtract the numbers
-2a=40-10
-2a=30
-2a=30
5.) Divide both sides of the equation by the same term
-2a=30
6.) Simplify
cancel terms that are in both the numerator or denominator
a=
Divide the numbers
a=
a=-15
a=-15
7.) Solution
a=-15
Answer: New line = 4AB
Step-by-step explanation:
- If a figure is dilated with a scale factor of k , then the measure of new side length = k x (Original side)
if AB a line through center of parallelogram RSTU is drawn , then, after dealation with scale factor k= 4 , the length of new line through center = 4 x AB or 4AB.
The relationship will the new line have with line AB :
New line = 4AB
3 weeks x 110 minutes = 330 minutes
330 minutes a week x 14 weeks = 4620 minutes
4620 divided by 60 minutes = 77 hours
77 hours is your answer
Answer:
(30, ∞)
Step-by-step explanation:
b – 27 > 3
Add 27 to both sides
b > 30
In interval notation
(30, ∞)
