Marshall has been given the option to receive an allowance once a week or once a month. Should he choose $3.25 each week or $10.
1 answer:
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Answer:
Step-by-step explanation:
1. Substitute into first equation and solve for "x" in order to find the x-intercept of the first line:
2. Substitute into the first equation and solve for "y" in order to find the y-intercept of the first line:
Knowing that first line passes through the points and
, you can graph it.
3. Substitute into second equation and solve for "x" in order to find the x-intercept:
4. Substitute into the second equation and solve for "y" in order to find the y-intercept of the second line:
Knowing that second line passes through the points and
, you can graph it.
The solution of the system of equations is the point of intersection between the lines. Therefore, the solution of this system is:
Answer:
And if we solve for a we got
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.
Step-by-step explanation:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842
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
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.