Answer:
Step-by-step explanation:
For a shape to be a parallelogram, the angles that are across from one another have to be equal.
We can now find x by making both equations equal to each other and solving.
Solve.
Solution:
Population in the city= 10,000
As genetic condition affects 8% of the population.
8 % of 10,000
As, it is also given that, there is an error rate of 1% for condition (i.e., 1% false negatives and 1% false positives).
So, 1% false negatives means out of 800 tested who are found affected , means there are chances that 1% who was found affected are not affected at all.
So, 1% of 800 
Also, 1% false positives means out of 10,000 tested,[10,000-800= 9200] who are found not affected , means there are chances that 1% who was found not affected can be affected also.
So, 1% of 9200 
1. Has condition Does not have condition totals = 800
2. Test positive =92
3. Test negative =8
4. Total =800 +92 +8=900
5. Probability (as a percentage) that a person has the condition if he or she tests positive= As 8% are found positive among 10,000 means 9200 are not found affected.But there are chances that out of 9200 , 1% may be affected
that is Probability equal to 0.01 or 1%.
Answer:
look at attached image, hope this helps! :)
You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.
Also, you made a little (but important) typo.
The right equation for the annual income is: I = - 425x^2 + 45500 - 650000
1) Determine <span>the youngest age for which the average income of
a lawyer is $450,000
=> I = 450,000 = - 425x^2 + 45,500x - 650,000
=> 425x^2 - 45,000x + 650,000 + 450,000 = 0
=> 425x^2 - 45,000x + 1,100,000 = 0
You can use the quatratic equation to solve that equation:
x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)
x = 38.29 and x = 67.59
So, the youngest age is 38.29 years
2) Other question is what is the maximum average annual income a layer</span> can earn.
That means you have to find the maximum for the function - 425x^2 + 45500x - 650000
As you are in college you can use derivatives to find maxima or minima.
+> - 425*2 x + 45500 = 0
=> x = 45500 / 900 = 50.55
=> I = - 425 (50.55)^2 + 45500(50.55) - 650000 = 564,021. <--- maximum average annual income
Answer:
The expression of the other side of the rectangle = 2x + 4y + 25
Step-by-step explanation:
The Perimeter of the rectangle is 12 x + 8y
The one side of the rectangle is 4x - 25
Let the other side of the rectangle be S
Now, the PERIMETER OF THE RECTANGLE = 2 ( SUM of BOTH SIDES)
⇒ 12 x + 8y = 2(S + (4x - 25))
or, 12 x + 8y = 2S + 8 x - 50
or, 12 x + 8y - 8x + 50 = 2S
⇒ 4x + 8y + 50 = 2S
or, S = 2x + 4y + 25
Hence, the expression of the other side of the rectangle = 2x + 4y + 25
