HELP ASAP WILL MARK BRAINLIEST!!!!! The coordinates of point T are (0,3). The midpoint ST of is (1,-5). Find the coordinat
es of point S. The other endpoint is
1 answer:
<em>Greetings from Brasil...</em>
See the attached chart. The midpoint, M, has 8 units down on the Y axis. So the other half will also have 8 units after that point M. This is also true for the X axis.
Just make the difference between points T and M. For M and S they are the same quantities.
(0; 3) and (1; -5)
X: 1 - 0 = 1 (one unit until mid point)
Y: - 5 - 3 = - 8 (8 units until mid point)
To S:
S(W; Z) <em>M = center point coordinate value</em>
W = M + 1 ⇒ W = 1 + 1 = 2
Z = M - 8 ⇒ Z = - 5 - 8 = - 13
<h3>S(2; -13)</h3>
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Answer:
The margin of error of u is of 3.8.
The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 28 - 1 = 27
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.7707
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error of u is of 3.8.
The lower end of the interval is the sample mean subtracted by M. So it is 31.2 - 3.8 = 27.4 minutes
The upper end of the interval is the sample mean added to M. So it is 31.2 + 3.8 = 35 minutes
The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.