Answer:
n=3
Step-by-step explanation:
Simplifying
8n + 12 + -5n = 21
Reorder the terms:
12 + 8n + -5n = 21
Combine like terms: 8n + -5n = 3n
12 + 3n = 21
Solving
12 + 3n = 21
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + 3n = 21 + -12
Combine like terms: 12 + -12 = 0
0 + 3n = 21 + -12
3n = 21 + -12
Combine like terms: 21 + -12 = 9
3n = 9
Divide each side by '3'.
n = 3
Simplifying
n = 3
On your calculator, use the normalcdf() function, enter the Lower Limit, Upper Limit, Mean, and Standard deviation.
The mean and standard deviation are given to you. You want to find "less than 13.5 seconds", meaning that 13.5 is the maximum "Upper Limit" and 0 would be the Lower Limit because we can pretend 0 second is the minimum. Don't worry about negatives, in this scenario, values like "-5 seconds" are impossible.
Enter normalcdf(0, 13.5, 13.56, 2.24) in a calculator and the output result is the answer.
A mixed number is a number with a fraction, like: 2 3/4ths for instance.
Take 83/30 and find what you have left:
30 goes into 83 two times, giving you 60. This leaves you with:
2 23/30 as an answer.
I hope this helps, have a great rest of your day! ^ ^
| | Ghostgate | |
I assume the volume of the larger pyramid is 108 ft^3, not 108 ft^2.
The scale factor of edges of two solids is x.
The scale factor of their areas is x^2.
The scale factor of their volumes is x^3
The areas have a scale factor of 18/8 = 2.25
The length have a scale factor of sqrt(2.25) = 1.5
The volumes have a scale factor of 3.375
108/3.375 = 32
Answer: 32 ft^3
