Find the circumcenter of the triangle with vertices at A(2,4), B(8, 4), and C(6, 10).
1 answer:
You might be interested in
Answer:
The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).
Step-by-step explanation:
We have to calculate a 96% confidence interval for the proportion.
We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.
The sample proportion is p=0.8.
The standard error of the proportion is:
The critical z-value for a 96% confidence interval is z=2.054.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 96% confidence interval for the population proportion is (0.77, 0.83).
The time taken for her trip is 3 hours.
<h3>Given that</h3>Koto’s average velocity along her route was 4. 5 m/s.
She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west.
<h3>We have to determine</h3>What was the time of her trip?
<h3>According to the question</h3>She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west.
<h3 /><h3>The calculation of such a trip of Koto can be done by applying the known formula of Time when the Speed is multiplied by Distance to compute the actual time of the trip.</h3>The formula to calculate the time for her trip is;
- Using the formula above, the commute in each direction is added as 45000 meters or 45 kilometers.
- If Koto's average speed is 4.5 meters per second, then she travels roughly 270 meters in one minute.
Substitute all the values in the formula;
Converting minutes into hours,
Hence, the time taken for her trip is 3 hours.
To know more about Time and Distance click the link given below.