Answer:
B. 71.43%
Step-by-step explanation:
The sensitivity is the probability that a test will indicate 'disease' among those with the disease, that is, the test has a positive results:
In this problem, we have that:
150 people with the disease tested positive and 60 tested negative. So the sensitivity is:
The correct answer is:
B. 71.43%
In this problem, we can imagine that all the points
connect to form a triangle. The three point or vertices are located on the
pitcher mount, the home plate and where the outfielder catches the ball. So in
this case we are given two sides of the triangle and the angle in between the
two sides.
<span>With the following conditions, we can use the cosine law
to solve for the unknown 3rd side. The formula is:</span>
c^2 = a^2 + b^2 – 2 a b cos θ
Where,
a = 60.5 ft
b = 195 ft
θ = 32°
Substituting the given values:
c^2 = (60.5)^2 + (195)^2 – 2 (60.5) (195) cos 32
c^2 = 3660.25 + 38025 – 20009.7
c^2 = 21,675.56
c = 147.23 ft
<span>Therefore the outfielder throws the ball at a distance of
147.23 ft towards the home plate.</span>
I think what the teacher wants is 15 which is the greatest common factor of all three numbers and the factors of 15 are
1 x 15 and 3 x 5 so the she can put one of each, or she can put 3 of each,
or she can put 5 of each , or she can put 15 of each.
The problem is unclear however because as worded she could put 2 sweaters, 2 shirts and 2 pair of jeans. I think the teacher wants all the jeans used. The number 1,3,5 and 15 will use up all of the jeans.
1 jean on 15 racks
or 3 jeans on 5 racks
or 5 jeans on 3 racks
or 15 jeans on one rack
