Solution :
It is given that :
P (positive | Has disease) = 0.7
P (positive | No disease) = 0.08
P (has disease) = 0.18
P (No disease) = 1 - 0.18
= 0.82
Now if test administered to the individual is positive, the probability that the person actually have the disease is
P (Has disease | positive) 
......(1)
The P(positive) is,
= P(positive | has disease) x P(Has disease) + P(positive | no disease) x P(No disease)
= 0.7 (0.19) + 0.04 (0.81)
= 0.1654
Now substituting the values in the equation (1), we get
P (Has disease | positive)
= 0.8041
Answer: Option (C) is the correct answer.
Step-by-step explanation:
Amount of purchase is give as $205,000.
We have to calculate 15% of $205,000. The value 15% can be written as follows.
15% = 
or, 0.15
Thus, calculate the 15% of $205,000 as follows.
0.15 × 205,000
= 30,750
Thus, we can conclude that $30,750 is the 15-percent down payment on a purchase price of $205,000.
Answer: 61.12 ft squared
Explanation: The formula for area of a circle is Pi(radius squared), the line that is eight ft is the diameter of the circle. half of it would be the radius. plug in data as usual but make sure to divide your answer by 2 because you don’t have a complete circle. You only have half. For your triangle the formula is 1/2 base • height. your height would be the 8ft line from the half circle and the base would be the bottom line of the triangle. Don’t forget to divide the base of the triangle by 2. Plug in your data. Then add your two amounts to get your answer.
A.)
The first thing we must do for this case is to find the area of the complete figure.
We have then:
Triangle 1:
A1 = (1/2) * (1.5) * (1)
A1 = 0.75 feet ^ 2
Triangle 2:
A2 = (1/2) * (1.5) * (2)
A2 = 1.5 feet ^ 2
Triangle 3:
A3 = (1/2) * (0.75) * (1)
A3 = 0.375 feet ^ 2
Rectangle:
A4 = (5) * (0.75)
A4 = 3.75 feet ^ 2
Adding the areas we have:
A = A1 + A2 + A3 + A4
A = 0.75 + 1.5 + 0.375 + 3.75
A = 6.375 feet ^ 2
Answer:
there are 6,375 feet ^ 2 of plywood in the scenery
B.)
Triangles:
A = A1 + A2 + A3
A = 0.75 + 1.5 + 0.375
A = 2,625 feet ^ 2
Two layers of paint:
A = 5.25 feet ^ 2 <45 feet ^ 2
Rectangle:
A = 3.75 feet ^ 2
Two layers of paint:
A = 7.5 feet ^ 2 <45 feet ^ 2
Answer:
One quart of each color is needed.
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Step-by-step explanation:
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