The two dot plots below show the heights of some sixth graders and some seventh graders: The mean absolute deviation (MAD) for t
1 answer:
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Answer:
And if we solve for a we got
So the value of height that separates the bottom 85% of data from the top 15% is 25.27.
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 finishing time of a population, and for this case we know the distribution for X is given by:
Where and
Solution to the problem
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 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15
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 85% of data from the top 15% is 25.27.
Write in y=ax²+bx+c form
solve for y
given
solve for y
easy
minus 4 both sides
times -1/2 to both sides
2=10/5
y=ax²+bx+c
a=0
b=
c=
solve for y
given
solve for y
easy
minus 4 both sides
times -1/2 to both sides
2=10/5
y=ax²+bx+c
a=0
b=
c=
Answer:
I have linked the graph in an image
Step-by-step explanation:
1. Simplify y=2/(x+1)-6
2. Subtract the numbers 1-6=-5
3. = 2/x-5
4. Graph your results
