Answer:
μ = 235.38
σ = 234.54
Step-by-step explanation:
Assuming the table is as follows:
![\left[\begin{array}{cc}Savings&Frequency\\\$0-\$199&339\\\$200-\$399&86\\\$400-\$599&55\\\$600-\$799&18\\\$800-\$999&11\\\$1000-\$1199&8\\\$1200-\$1399&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7DSavings%26Frequency%5C%5C%5C%240-%5C%24199%26339%5C%5C%5C%24200-%5C%24399%2686%5C%5C%5C%24400-%5C%24599%2655%5C%5C%5C%24600-%5C%24799%2618%5C%5C%5C%24800-%5C%24999%2611%5C%5C%5C%241000-%5C%241199%268%5C%5C%5C%241200-%5C%241399%263%5Cend%7Barray%7D%5Cright%5D)
This is an example of grouped data, where a range of values is given rather than a single data point. First, find the total frequency.
n = 339 + 86 + 55 + 18 + 11 + 8 + 3
n = 520
The mean is the expected value using the midpoints of each range.
μ = (339×100 + 86×300 + 55×500 + 18×700 + 11×900 + 8×1100 + 3×1300) / 520
μ = 122400 / 520
μ = 235.38
The variance is:
σ² = [(339×100² + 86×300² + 55×500² + 18×700² + 11×900² + 8×1100² + 3×1300²) − (520×235.38²)] / (520 − 1)
σ² = 55009.7
The standard deviation is:
σ = 234.54
a. The formula for the area of rectangle is:
A = l w
so given that A = 3/5 m^2 and w = 2/5 m,
l = A / w
l = (3/5 m^2) / (2/5 m)
l = 3/2 m or 1.5 m
b. We take the ratio l/w:
l/w = (3/2 m) / (2/5 m)
l/w = 3.75
So the length is 3.75 times greater than width
Step-by-step explanation: The base of the power in the original equation becomes the base of the log. So we have 
.
Next, the exponent in the original equation goes on the other side of the equation and finally, the result in the original equation goes inside the log.
So we have 
which is 3² = 9 written in logarithmic form.
This can also be switched around to read 
.
So the first choice will be your answer.
My work is also show in the image attached,
I just didn't switch it.
Answer:
5 inches
Step-by-step explanation:
Given
Length of a cube = 1 inch
Required
Determine the edge length of the cube
If the container can take 125 cubes, then that's the volume
So:
Volume of a cube is calculated as thus;
This gives;
Take cube root of both sides
![Length = \sqrt[3]{125}](https://tex.z-dn.net/?f=Length%20%3D%20%5Csqrt%5B3%5D%7B125%7D)
Hence, the length is 5 inches
