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DENIUS [597]
4 years ago
12

B ∩ U A = U(B ∩ A).

Mathematics
1 answer:
NARA [144]4 years ago
5 0
Are those emojis or no
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In its monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. Eight o
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Answer with Step-by-step explanation:

We are given that

Total dogs=24

Total cats=18

Total animals=24+18=42

Male dogs=8

Male cats=6

Total male animals=8+6=14

Total female animals=42-14=28

Female cats=18-6=12

Dogs female=24-8=16

a.We have to find the probability that the pet is male, given that it is cat.

It means we have to find P(Male/cat)  

Conditional probability: P(A/B)=\frac{P(A\cap B)}{P(B)}

P(Cat)=\frac{18}{42}

P(male cat)=\frac{6}{42}

P(Male/cat)=\frac{\frac{6}{42}}{\frac{18}{42}}

P(male/cat)=\frac{6}{18}=0.33

b.P(female cat)=\frac{12}{42}

P(female)=\frac{28}{42}

P(Cat/Female)=\frac{\frac{12}{42}}{\frac{28}{42}}=\frac{12}{28}=0.43

c.P(Dog)=\frac{24}{42}

P(dog female)=\frac{16}{42}

P(female/dog)=\frac{\frac{16}{42}}{\frac{24}{42}}

P(female/dog)=\frac{16}{24}=0.67

5 0
3 years ago
$49.95 CD player; 5% tax
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Answer:

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Step-by-step explanation:

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The equation of a circle in general form is ​ x2+y2+20x+12y+15=0 ​ . What is the equation of the circle in standard form?
mestny [16]

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(x)²+(y)²=0

Step-by-step explanation:

6 0
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Which expression can be expanded using the binomial theorem?
kirill [66]

Answer:

The third choice:  (x² - 1)³

Step-by-step explanation:

That is the only expression that is a binomial.  Binomial means "two numbers".  For this expression, x² is one number, and -1 is the other.  Choice 1 is a monomial (one number) and choices 2 and 4 are trinomials (three numbers)

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