The cost of removing x percent of pollutants is expressed by the function , where C is in thousands of dollars. Which conclusion
1 answer:
You might be interested in
Answer:
The growth factor of <em>f(x)</em> is <em>less</em><em> </em><em>than</em><em> </em>the growth factor of <em>g(x)</em>.
Explanation:
<em>x</em><em> </em> | <em>f(x)</em>
_____
0 | 4
1 | 12
2 | 36
You can tell because the <em>g</em><em>(</em><em>x</em><em>)</em><em> </em>function is multiplying by 4, while the <em>f</em><em>(</em><em>x</em><em>)</em><em> </em>function is multiplying by 3.
I am joyous to assist you anytime.
Answer:
And if we solve for a we got
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the hourly rates of a population, and for this case we know the distribution for X is given by:
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.80 of the area on the left and 0.20 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.20
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got