61 random samples of city rent prices are selected from a normally distributed population the samples have a mean of $738 and a standard deviation of $41 construct a 95% confidence interval for the population standard deviation

(728, 748)

Step-by-step explanation:

You need the Z value which for 95% confidence interval is 1.96. The mean is $738 and the standard deviation of $41.

Therefore we can calculated the confidence interval

The interval is (728,748)

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

two data sets with the same median will not have the same varaibility

step-by-step explanation: