Answer: $85,000
Step-by-step explanation:
Given : In a given population of two-earner male-female couples, male earnings have a mean of $40,000 per year and a standard deviation of $12,000.
![\mu_M=40,000\ \ ;\sigma_M=12,000](https://tex.z-dn.net/?f=%5Cmu_M%3D40%2C000%5C%20%5C%20%3B%5Csigma_M%3D12%2C000)
Female earnings have a mean of $45,000 per year and a standard deviation of $18,000.
![\mu_F=45,000\ \ ;\sigma_F=18,000](https://tex.z-dn.net/?f=%5Cmu_F%3D45%2C000%5C%20%5C%20%3B%5Csigma_F%3D18%2C000)
If C denote the combined earnings for a randomly selected couple.
Then, the mean of C will be :-
![\mu_c=\mu_M+\mu_F\\\\=40,000+45,000=85,000](https://tex.z-dn.net/?f=%5Cmu_c%3D%5Cmu_M%2B%5Cmu_F%5C%5C%5C%5C%3D40%2C000%2B45%2C000%3D85%2C000)
Hence, the mean of C = $85,000
Answer:
88.6
Step-by-step explanation:
A=4(pi)r^2/3
D=9.2 : r=4.6
A=4(3.14)(4.6^2)/3=88.5898667
Answer:
Part (a) The value of Z is 0.10396. Part (b) The value of Z is 0.410008.
Step-by-step explanation:
Consider the provided information.
Part (a)
In order to find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414, simply find 0.5414 in the table and search for the appropriate Z-value.
Now, observing the table it can be concluded that the value of Z is 0.10396.
Part (b)
Consider the number 65.91%
The above number can be written as 0.6591.
Now, find 0.6591 in the table and search for the appropriate Z-value.
By, observing the table it can be concluded that the value of Z is 0.410008.
the Reflexive Property of Equality