Here's a question from Ch-7 , Ex-14.3
2 answers:
<em>Graph</em><em> </em><em>is</em><em> </em><em>attached</em><em>!</em><em>~</em>
<em>The</em><em> </em><em>solution</em><em> </em><em>on</em><em> </em><em>paper</em><em> </em><em>is</em><em> </em><em>also</em><em> </em><em>attached</em><em> </em><em>with</em><em> </em><em>it</em><em>.</em><em>.</em>
The equation that represents the work done as a function of the distance is
Represent the work done with w, and the distance travelled with d.
So, the proportional equation is:
Where:
F represents the proportional constant (Force)
Given that, the force is 5;
The equation becomes
Hence, the equation that represents the work done as a function of the distance is
See attachment for the graph of the function
Read more about variation at:
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Answer:
1. (a) 32 (b) 8
2. (a) 48.33 (b) 92.75 (c) 9.63
3. We observe that sample mean of air quality index in Pomona is higher that that of Anaheim which indicates that the level of air pollution is higher in Pomona and there is more health concern here.
On the other hand, the variation in air quality index is higher in Anaheim than in Pomona as Anaheim has higher variance and standard deviation for air quality index which means that there are not much fluctuations in air quality index in Pomona.
Step-by-step explanation:
First arranging our data of air quality index values for Pomona in ascending order, we get : 28, 42, 45, 48, 49, 50, 55, 58, 60.
- (a) Range is given by the formula :
Highest value in data - Lowest value in data = 60 - 28 = 32
(b) Interquartile rage = Third quartile - First quartile
=
=
observation in the data =
obs. { Because n = 9}
Therefore, = 42.
=
obs. = (3 x 2 ) =
obs = 50
So, Interquartile rage = 50 - 42 = 8.
2. (a) Sample mean formula = =
= 48.33
(b) Sample variance formula = where Xbar = Sample mean
= 92.75
(c) Sample standard deviation formula = =
= 9.63.
3. Given that a sample of air quality index readings for Anaheim has sample mean of 48.3, a sample variance of 136, and a sample standard deviation of 11.66.
We observe that sample mean of air quality index in Pomona is higher that that of Anaheim which indicates that the level of air pollution is higher in Pomona and there is more health concern here.
On the other hand, the variation in air quality index is higher in Anaheim than in Pomona as Anaheim has higher variance and standard deviation for air quality index which means that there are not much fluctuations in air quality index in Pomona.