Suppose the likelihood of someone being allergic to cats is 1/1000 of the general population. A test to determine if you'r allergic to cats has a false positive rate of 5%, that is, 5% of the time the test will indicate incorrectly that you are allergic to cats. Also, the test is said to be 98% accurate for those who are indeed allergic. Considering a random individual being tested for the unfortunate cat allergy, what is the probability that if the person tested positive they are indeed allergic? (In other words, what is the probability the person is actually allergic given they tested positive?) Round solution to the nearest percent.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

54.864 meters

step-by-step explanation: