Step-by-step explanation:
THE AMOUNT RECIEVE BY JOY IF SHE WORKED m HOURS AT PHP300 PER HOUR?
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Answer:
Option C.
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
so
Find the value of the constant k
For the point (-8,-6)
For the point (12,9)
<u><em>Note</em></u> A single point was required to find the constant k (because the line passes through the origin)
The equation is equal to
Given:
The general equation is
m is a slope and c is the y-intercept.
From equation (1),
From equation (2)
From equation (1) and (2)
Substitute equation (2) in (1)
Substitute in (2)
Answer:
And we can find this probability using the z score table or excel:
So then we can conclude that the proportion of fish that are safe to eat is about 0.734
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 concentrations of mercury in individual fish of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the z score table or excel:
So then we can conclude that the proportion of fish that are safe to eat is about 0.734