Answer:

Step-by-step explanation:
Given

Required
Find n
Simplify (n + 1)!

Factorize
![n![2(n+1) + 6] = 3(n+1)*n!](https://tex.z-dn.net/?f=n%21%5B2%28n%2B1%29%20%2B%206%5D%20%3D%203%28n%2B1%29%2An%21)
Divide both sides by n!

Open brackets


Collect like terms


Multiply both sides by -1

Answer:
a. Concentration of nitrogen in water draining from fertilized lands
b. Quantitative
c. Water draining from fertilized lands
Step-by-step explanation:
a. Here we are evaluating the Concentration in miligrams of Nitrogen per liter of water, that drains from fertilized lands.. So thats what is defined as the variable.
b. When we talk about qualitative variblaes, we refer to variables that we can't define with numbers. For example the colour of a car, that's a qualitative variable. In this problem, can put a number on the nitrogen concetration. When we can measure the variable with numbers we consider it to be a quantitative variable. Therefore this is a quantitative variable
c. The implied population is the population where we want to interfer the analysis. In here we want to know the concentration of water draining from fertilized lands. So we are using random samples from a lake, and we extrapolate that analysis to a bigger universe, that it´s the water draining from fertilized lands
V= Area of the circle at the base • height =
Pi•r^2 •h
Answer:
4x +3y=36
Step-by-step explanation:
Equation of line is (y-y1) = m(x-x1)
(y+4) = (-4/3)(x-12)
3(y+4) = (-4)(x-12)
3y +12 = -4x + 48
4x+3y = 36
Answer:
5.48% of the people in line waited for more than 28 minutes
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean waiting time of 20 minutes with a standard deviation of 5 minutes.
This means that 
What percentage of the people in line waited for more than 28 minutes?
The proportion is 1 subtracted by the p-value of Z when X = 28. So



has a p-value of 0.9452.
1 - 0.9452 = 0.0548.
As a percentage:
0.0548*100% = 5.48%
5.48% of the people in line waited for more than 28 minutes