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spin [16.1K]
3 years ago
11

The algebraic expression 6x - 4 can

Mathematics
1 answer:
sveticcg [70]3 years ago
8 0

Answer:

Six times a number x less than four less than six

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C=2pi

Step-by-step explanation:

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Jason has a bag of tiles with the letters from the word IMPOSSIBLE. He pulls a random tile out of the bag. Which outcomes are mo
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Dr. Hawk works in an allergy clinic, and his patients have the following allergies: 71 are allergic to dairy products, 98 are al
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Answer: 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

a+b=43\\\\a+33=43\\\\a=43-33\\\\a=10

For Diary product,

10+a+b+c=71\\\\a+b+c=61\\\\10+33+c=61\\\\c=18

For pollen,

a+30+b+e=98\\\\10+30+33+e=98\\\\e=98-73=25

For animal dander,

c+b+d+e=96\\\\18+33+25+d=96\\\\d=96-76=20

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

\dfrac{96}{146}\times 100=65.75\%

(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

\dfrac{20}{146}\times =13.7\%

Hence, a) 65.75%

b) 13.7%

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