Answer:
rearrange the equation to y=mx+c and simplify it
to get
2x+3y=27
3y= -2x+27
y= (-2/3)x+ 9
perpendicular line - flip the gradient and add a negative sign
so -2/3 become 3/2 (the negative sign is cancelled, since it was already negative)
y=(3/2)x+c
y=1.5x+c
to find the intercept
input the x and y values
3= 1.5*-2+c
3=-3+C
6=c
therefor y=1.5x+6
The geometric mean of 8 and 12 is approximately 9.79796
Can u pls show the picture so that I can solve the problem?
Thx
You have 18 rainy out of 90 total. You need to simplify each term.
18 = 1, 2, 3, 6, 9, 18
90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Now find the largest number that is common. That would be 18. Divide both numbers by 18
18/18 = 1
90/18 = 5
So the simplified ration is 1/5
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