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:
(-6,0)
Step-by-step explanation:
the y-axis is any (x number, 0)
Answer:
The width which gives the greatest area is 7.5 yd
Step-by-step explanation:
This is an application of differential calculus. Given the area as a function of the width, we simply need to differentiate the function with respect to x and equate to zero which yields; 15-2x=0 since the slope of the graph is zero at the turning points. Solving for x yields, x=7.5 which indeed maximizes the area of the pen
The 5 in x - 5 needs to be negative in the table. So, change that and make everything else in that row negative.
You are then left with 3x^2 + x - 15x - 5
Simplify to 3x^2 - 14x - 5
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Divide both sides by 2
x^2 = 128/2
Simplify 128/2 to 64
x^2 = 64
Take the square root of both sides;
x = √64
Since 8 * 8 = 64, the square root of 64 is 8
<em>x = -8 and 8</em>
<u>Answer: B -8 and 8</u>
