Dr. hawk works in an allergy clinic, and his patients have the following allergies: 71 are allergic to dairy products, 98 are allergic to pollen, 96 are allergic to animal dander, 33 are allergic to all three, 30 are allergic only to pollen, 10 are allergic only to dairy products, 43 are allergic to dairy products and pollen. (round your answers to one decimal place.)
(a) what percent of dr. hawk's patients are allergic to animal dander?
(b) what percent of dr. hawk's patients are allergic only to animal dander?

a) 65.75% and b) 13.7%

Step-by-step explanation:

Since we have given that

Number of people who are allergic to dairy products = n(A) = 71

Number of people who are allergic to pollen = n(B) = 98

Number of people who are allergic to animal dander = n(C) = 96

Number of people who are allergic to all n(A∩B∩C) = 33

Number of people who are allergic only to pollen = 30

Number of people who are allergic only to dairy product = 10

Number of people who allergic to dairy products and pollen n(A∩B)= 43

Now, we first find a, c, d, e from the Venn Diagram:

Since  n(A∩B)= 43

For Diary product,

For pollen,

For animal dander,

So, Total allergic persons = 10+18+20+25+30+10+33=146

So, (a) What percent of Dr. Hawk's patients are allergic to animal dander?

Percentage that patients are allergic to animal dander is given by

(b) What percent of Dr. Hawk's patients are allergic only to animal dander?

Percentage that patients are allergic to only animal dander is given by

Hence, a) 65.75%

b) 13.7%

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle

Here, feel free to ask if there are any questions