Answer:
Step-by-step explanation:
The formula for determining confidence interval is expressed as
Confidence interval
= mean ± z × s/ √n
Where
z is the value of the z score
s = standard deviation
n = sample size
a) The 95% confidence level has a z value of 1.96
The 99% confidence level has a z value of 2.58
Since 99% confidence level z value is greater than 95% confidence level z value, if we input it into the formula, it will result to a higher confidence interval. So changing from a 95% confidence level to a 99% confidence level would make a confidence interval wider.
b) The √15 is smaller than the √350. This means that if we make use of the formula, √350 will give a lower confidence interval than that of √15. Therefore, the confidence interval would be narrower changing from a sample size of 15 to a sample size of 350.
c) Applying the formula, a standard deviation of 15 pounds would result to a lower confidence interval than a standard deviation of 20 pounds. Therefore, the confidence interval would be wider changing from a standard deviation of 15 pounds to a standard deviation of 20 pounds.
Answer:
Point of intersection is (-2, -1).
Step-by-step explanation:
The diagonals bisect each other so we only need to find the midpoint of one of the diagonals. We'll use the diagonal qs:-
Midpoint = (-8 + 4)/2, (1 + -3)/2
= (-2, -1)
C
The construction described creates the incenter of the circle and this point is equidistant from all vertices of a triangle.
I guess the answer will be 15, 10, and 25 am not sure tho
Check the picture below.
so, notice, the composite is just a 4x6 rectangle, and a triangle whose base is 6 and altitude is 2. So, we can simply get the area of each figure and sum them up.