Graph the line y=−3x+b if it is known that the graph goes through point: B(5, 2)
1 answer:
Given that, the line y=−3x+b is passing through point B(5, 2).
Put x=5 and y=2 in the given equation to the value of b, we have
or b=17.
Now, the given equation become
y=-3x+17
This is the equation of a straight line, so find any two points on the line and join them to get the graph of the line.
One point is already given, i.e B(5, 2).
Get any other point, suppose, for x=0,
.
So, the other point is (0,17).
Now, denote both the points of the cartesian coordinate system and join them to get the graph as shown in the figure.
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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:
11700 mm²
Step-by-step explanation:
A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.
The horizontal distance of the rectangle = r + r + r + r = 4r
The vertical distance = r + h + r = 2r + h
Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.
Using Pythagoras:
(2r)² = h² + r²
h² + r² = 4r²
h² = 3r²
h = √3r²
h = r√3
Vertical distance = 2r + h = 2r + r√3
Area of rectangle = vertical distance * horizontal distance
Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)
Substituting:
Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²
Area = 11700 mm² to 3 s.f
