PLZ Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!The sum of two numbers is 19 and their difference is 7, What are the two num
1 answer:
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Answer:
Option A
Step-by-step explanation:
The standard form of an equation of a circle is represented by the formula . Remember that
is the center and
is the radius squared.
So, the equation of the circle must be . Complete the square to change the form of the equations listed in the options and find the one that is equal.
Let's try this with option A. Move the constants to the right side, then use the completing the square method to place the equation in standard form:
The end result matches with the equation determined before, so option A is the answer.
Answer:
So the value of height that separates the bottom 60% of data from the top 40% is 212.65. And rounded would be 212.7.
Step-by-step explanation:
1) 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".
2) Solution to the problem
Let X the random variable that represent the loan officer rates applicants for a credit of a population, and for this case we know the distribution for X is given by:
Where and
And the best way to solve this problem is using the normal standard distribution and the z score 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.
As we can see on the figure attached the z value that satisfy the condition with 0.60 of the area on the left and 0.40 of the area on the right it's z=0.253. On this case P(Z<0.253)=0.60 and P(z>0.253)=0.4
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 60% of data from the top 40% is 212.65. And rounded would be 212.7.