Which of these situations can be represented by the opposite of -9
2 answers:
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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
<h3>hello!</h3>
In order to solve this inequality, we should divide both sides by 9:-
Why 9? Because x is multiplied by 9, and we need to isolate x in order to find its value.
Hence, that's the solution to the inequality.
<em>It also means that the numbers less than 8 will satisfy the given inequality (make the inequality true)</em>
(Option C is correct :) )
<h3>note:-</h3>Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)