The Poisson distribution with a mean of 6.0 is an appropriate model.
<h3>What is mean?</h3>
- In mathematics and statistics, the concept of mean is crucial. The most typical or average value among a group of numbers is called the mean.
- It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "expected value."
- There are different ways of measuring the central tendency of a set of values. There are multiple ways to calculate the mean. Here are the two most popular ones:
- Arithmetic mean is the total of the sum of all values in a collection of numbers divided by the number of numbers in a collection.
Hence, The Poisson distribution with a mean of 6.0 is an appropriate model.
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Answer:
45 sq cm
Explanation:
Answer: The required values are
x = 12 units, ST = 60 units and SU = 120 units.
Step-by-step explanation: Given that T is the midpoint of SU, where
ST = 5x and TU = 3x + 24.
We are to find the values of x, ST and SU.
Since T is the midpoint of SU, so we get
So, the value of x is 12.
Therefore,
and
Thus, the required values are
x = 12 units, ST = 60 units and SU = 120 units.
Answer:
The error in rounding a number is half of the unit of measure. The number was rounded to the nearest 0.1 unit so the error is half of 0.1 which is 12⋅0.1=0.05
2
1
⋅0.1=0.05. Since 3.7+0.05=3.753.7+0.05=3.75 and 3.7−0.05=3.653.7−0.05=3.65, then the error interval is \boxed{3.65\le x<3.75}.
Step-by-step explanation:
There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Illinois has a population of 12.9 million people. If the number of public school teachers per capita in Illinois was proportional to that of Ohio, how many public school teachers would we expect Illinois to have?
This problem uses proportionality or the relationship between two values. Typically, proportions are expressed as fractions. So, we can set this up as
and we can use this to express both of our values. So, for Ohio, we have 
and for Illinois we have 
. Now, because they are proportional, we can set them equal to each other and we get 
. Now we can cross multiply to get 
. To get the 
alone on one side, we divide by
and we get 124,662.931034, which is about equal to 124,663.
Therefore, we expect Illinois to have 124,663 public school teachers
