Answer:
a) 0.9548
b) 0.0452
Step-by-step explanation:
Specificity of test:
The specificity of a test is the true negative rate, that is, the proportion of people without the disease that test negative.
Sensitivity of test:
The sensitivity of a test is the true positive rate, which is the proportion of people with the disease that test positive.
a. What proportion of the people who test positive for Malaria would we expect to actually have the disease?
This is the sensitivity of the test, which is of 95.48%, so the proportion if 0.9548.
b. What proportion of people who test positive for Malaria will not have the disease?
True positive rate is of 95.48%.
1 - 0.9548 = 0.0452
So the proportion of people who test positive for Malaria will not have the disease is 0.0452.
We can look at 2 similar triangles.
1st triangle has legs: a vertical pole and its shadow, and
2nd triangle has legs legs : a child and his(her) shadow.
We can write a proportion:
height of a pole/height of a child= shadow of a pole/shadow of a child
8/4 = 5/shadow of a child
shadow of a child=(5*4)/8=5/2 ft
Answer: 5/2 ft
To factor a quadratic of the form ax^2+bx+c you need to find two values, j and k, that satisfy two conditions:
ac=jk and b=j+k in this case:
ac=jk=-18 and b=j+k=7 so j and k must be 9 and -2
Now replace bx with jx and kx in the original equation...
x^2-2x+9x-18 and factor the 1st and 2nd pair of terms...
x(x-2)+9(x-2) which is equal to
(x+9)(x-2)
Answer:
The equation of a circle:
Step-by-step explanation:
The equation of a circle:
(where the center is known as 
and the radius, known as 
).
-Since you already have the center and the radius, use them for the equation of a circle:
Center: 
Radius: 
After you have the equation of a circle, simplify the radius by the exponent 
:
So, you have found the equation of a circle.
9 because they’re are the same distance away from 0 on the number just 9 is on the right side of zero and -9 is on the left side of zero
