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%)
It is the line of symmetry of a parabola and divides a parabola into two equal halves that are reflections of each other about the line of symmetry.
It intersects a parabola at its vertex.
It is a vertical line with the equation of x = -b/2a.
15 liters of Yoda Soda for the 36 guests.
Answer:
63 Jelly Beans
Step-by-step explanation:
The unknown is the number of jelly beans originally in the bag or x
First he had x jelly beans
The he ate one-third of them
He then ate 16 more jelly beans
This was equal to 37 jelly beans
This is the equation
Now solve for x
Subtract 16 from both sides
Multiply both sides by 3
63 Jelly Beans
Answer:
14
Step-by-step explanation:
Since all sides are half of greater triangle.Then 7 × 2 = 14 is length of greater hypotenuse.
Suppose two triangles with similar conditions
1^2+1^2=2
Hypotenuse=2^1/2
We assume another triangle which is exactly double of previous triangle I.e
2^2+2^2=8
Hypotenuse=2×2^1/2
Which is exactly twice of previous triangle.
Hence proved hyootenuse is double of smaller triangle I.e 14
