Answer:
The mean age of the frequency distribution for the ages of the residents of a town is 43 years.
Step-by-step explanation:
We are given with the following frequency distribution below;
Age Frequency (f) X 
0 - 9 30 4.5 135
10 - 19 32 14.5 464
20 - 29 12 24.5 294
30 - 39 20 34.5 690
40 - 49 25 44.5 1112.5
50 - 59 53 54.5 2888.5
60 - 69 49 64.5 3160.5
70 - 79 13 74.5 968.5
80 - 89 <u> 8 </u> 84.5 <u> 676 </u>
Total <u> 242 </u> <u> 10389 </u>
Now, the mean of the frequency distribution is given by the following formula;
Mean = 
= 
= 42.9 ≈ 43 approx.
Hence, the mean age of the frequency distribution for the ages of the residents of a town is 43 years.
Answer:
Reflection across the x-axis
Step-by-step explanation:
The only apparent transformation is negation of the y-coordinate, corresponding to reflection across the x-axis.
The question is incomplete. Below you will find the missing graph.
The lowest value of the range of the function shown on graph is (B) -2.
Graph is the pictorial representation of the function or mathematical relation.
The lowest value of the graph is the value of y when 
gives the least value.
From the given graph we can clearly see that at 
the graph of the given function approaches the least value which is -2.
So the lowest value of the range of the function shown on the graph is -2.
Hence the correct option is (B).
Learn more about Graph here -
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The given function is
The general form of the cosine function is
a is the amplitude
2pi/b is the period
c is the phase shift
d is the vertical shift
By comparing the two functions
a = 4
b = pi
c = 0
d = 1
Then its period is
The equation of the midline is
Since the maximum is at the greatest value of cos, which is 1, then
Since the minimum is at the smallest value of cos, which is -1, then
Then substitute them in the equation of the midline
The answers are:
Period = 2
Equation of the midline is y = 1
Maximum = 5
Minimum = -3
The rule of a function is:
You CANNOT have one x-value with multiple different y values in the same function. You can however have different x values with the same y value.
Also for reference: independent means x value and dependent means y- value.
The first answer is not a function because as you can see there is one x-value with multiple y values.
second answer IS a function because as I said before you can have different x values with the same y value
third answer is a function again because you can have different x values with same y value
number four isn't a function bc again the -2 x value has 2 different y Values.
