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<h3>Answer: (4,2)</h3>
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The given points are T(3,1) and U(5,3)
The x coordinates of these given points are 3 and 5. Add them up to get 3+5 = 8. Then cut this in half getting 8/2 = 4. This is the x coordinate of the midpoint.
The y coordinates are 1 and 3. They add to 1+3 = 4. Then that cuts in half to get 4/2 = 2. This is the y coordinate of the midpoint.
The midpoint is (4,2)
Effectively, we just used the midpoint formula
In short: add the corresponding coordinates, then divide by 2.
Answer:
1.2
Step-by-step explanation:
Given that X is Normally distributed random variable with an unknown mean μ and known standard deviation 6
Hence we can say for a sample of size 100, the sample mean will have a std deviation of =
Since population std deviation is known we can use Z critical value for finding out the confidence interval
For 95% using (68-95-99.7 rules) we have z critical value =2
Hence margin of error =2(std error) = 1.2
Confidence interval 95%
Lower bound = Mean - margin of error = Mean -1.2
UPper bound = Mean +1.2
Hence , 95% of all of these values of x should lie within a distance of __1.2___ from μ .