Mathematics, 12.03.2020 21:43 lealiastentz532542

Maria and John have decided that once they live in a house, they want to have a pet. They go to an animal shelter and find several pets that they would love to take home. There are 8 Siamese cats, 12 common cats, 6 German Shepherds, 5 Labrador Retrievers, and 11 mixed-breed dogs. Since they can’t decide, they place all the adoption cards in a container and draw one. Answer each of the following questions separately, showing all your work to reach each answer. A. What is the probability that they select a cat? B. What is the probability that they select either a common cat or a Labrador Retriever dog? C. What is the probability that if they select a dog, that it is not a mixed breed? D. What are the odds in favor of and against choosing a Siamese cat?

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Answer from: Lydiaxqueen

A. 0.47 ; B. 0.40 ; C. 0.73 ; D. 0.23 & 4.26

Step-by-step explanation:

Total Animals = Total Possible Outcomes = 8 + 12 + 6 + 5 + 11 = 42 Probability = No. of Possible Outcomes / No.of total outcomes Odds in favour of event = Prob (Event) / Prob (No Event) ; Odds in against event = Prob (No Event) / Prob (Event)

A. Probability of choosing a Cat = All no. of cats / Total no. of animals

= ( 8 + 12 ) / 42 = 20 / 42 = 0.47

B. Probability of choosing a Common Cat or a Labrador Retriever :-

No. of common cats + no.of labrador retrievers / Total Animals

= (12 + 5) / 42 = 17 / 42 = 0.40

C. Probability of selecting non 'mixed breed' dog :-

No. of animals except mix breed dogs / Total Animals

= ( 8 + 12 + 6 + 5 ) / 42 = 31 / 42 = 0.73

D. Probability of choosing Siamese cat = Siamese Cat / Total Animals = 8 / 42 = 0.19 ; Probability Not choosing Siamese Cat = 1 - Prob (Siamese Cat) = 1- 0.19 = 0.81.

Odds in favour of choosing Siamese Cat :-

Prob (Siamese cat) / Prob (Not Siamese Cat) = 0.19 / 0.81 = 0.23

Odds against choosing Siamese Cat :-

Prob (Not Siamese Cat) / Siamese Cat = 0.81 / 0.19 = 4.26

Answer from: Quest

i think it's ф or x=6,-6

step-by-step explanation:

-x^2=-36

x^2=-36

if you mean by : -(x^2)=-36

it'll be: x^2=36

x=6,x=-6

hope it'll ! have a good day!

you for asking!

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

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