60 is 15
30 is 6
75 is 12
35 is 7
That’s the answer
A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of 60 funds' returns shows an average rate of 12%. If the population standard deviation is assumed to be 4%, the 95% confidence interval estimate for the annual return on all mutual funds is
A. 0.037773 to 0.202227
B. 3.7773% to 20.2227%
C. 59.98786% to 61.01214%
D. 51.7773% to 68.2227%
E. 10.988% to 13.012%
Answer: E. 10.988% to 13.012%
Step-by-step explanation:
Given;
Mean x= 12%
Standard deviation r = 4%
Number of samples tested n = 60
Confidence interval is 95%
Z' = t(0.025)= 1.96
Confidence interval = x +/- Z'(r/√n)
= 12% +/- 1.96(4%/√60)
= 12% +/- 0.01214%
Confidence interval= (10.988% to 13.012%)
You multiply the area of the triangle by 2
Answer: See explanation.
Step-by-step explanation:
Let's assume that you have a System of two equations. You can solve this System using the Substitution Method.
In order to use that method to solve the System of equations, you can follow the steps shown below:
Step 1: You must choose one of the equations of the system and solve for one of the variables. Let's call this new equation "Equation A"
Step 2: Then you must substitute"Equation A" into the other equation.
Step 3: Now you must solve for the other variable in order to find its value.
Step 4: Finally, you need to substitute the value of the variable obtained in the previous step, into the "Equation A" and then evaluate in order to find the value of the other varibale.
(Note: You can also substitute the value of the variable calculated in Step 3 into any original equation and solve for the other variable to find its value).