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:
8t(t - 5)^2
Step-by-step explanation:
I would immediately rearrange these terms in descending order by powers of t:
8t^3 - 80t^2 + 200t
Then I'd factor out 8t:
8t(t^2 - 10 t + 25).
Finally, I'd factor the quadratic t^2 - 10 t + 25:
(t - 5)^2
and so 200t+8t^3-80t^2 in factored form is 8t(t - 5)^2.
26 because when 2 meets 6 it forms the number aka # 26
Coordinates for N (-3,-3)
<h3>
Answer: Circle</h3>
Explanation:
Imagine that you have a rope staked into the ground at one end. The other end is allowed to move freely. At this freely moving endpoint, imagine white chalk is spread on the grass. The chalk would draw out a circle. Each point on the white chalk circle is the same distance away from the center.
Another example: we have a campfire and campers gather around it. The fire itself is the center. The campers would be on the edge of the circle if they are the same distance away from the fire (eg: all of them 5 feet away from the fire).