What is the repricocal of 2/3 A. -3/2 B. -2/3 C. 1/3 D. 3/2
2 answers:
You might be interested in
Answer:
Option A
Step-by-step explanation:
The standard form of an equation of a circle is represented by the formula . Remember that
is the center and
is the radius squared.
So, the equation of the circle must be . Complete the square to change the form of the equations listed in the options and find the one that is equal.
Let's try this with option A. Move the constants to the right side, then use the completing the square method to place the equation in standard form:
The end result matches with the equation determined before, so option A is the answer.
Answer:
The 98% confidence interval for the population mean number of hours worked per year per person is (2146, 2193).
Step-by-step explanation:
The question is incomplete.
The number of hours registered in the sample are:
2051 2061 2162 2167 2169 2171
2180 2183 2186 2195 2196 2198
2205 2210 2211
The sample mean can be calculated as:
We have to calculate a 98% confidence interval for the mean.
The population standard deviation is know and is σ=39.
The sample mean is M=2169.67.
The sample size is N=15.
As σ is known, the standard error of the mean (σM) is calculated as:
The z-value for a 98% confidence interval is z=2.326.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 98% confidence interval for the population mean is (2146, 2193).