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3 years ago

Which rational number is equivalent to the expression 69 2/9 - -12 4/9 ?

Mathematics

1 answer:

Ugo [173]3 years ago

7 0

Answer:dd

123

Step-by-step explanation:

123

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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

andrezito [222]

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

Write a function rule that represents the sentence. y is 4 less than the product of 7 and x.

goldenfox [79]

Answer:

ｙ = 7x - 4

just as it says in words

3 0

3 years ago

Shade 9/12 rectangle

Strike441 [17]

You must fill in 3/4(9/12) of the rectangle with color. Leaving 1/4(3/12) not shaded in.

7 0

3 years ago

Read 2 more answers

Factor Completely: x2 - 81 A.(x-9)(x+9) B.(x+9)(x+9) C.(x-9)(x-9) D.(9-x)(9+x)

Hunter-Best [27]

Answer is A

The binomial can be factored using the difference of squares formula a2-b2 = (a+b) (a-b) where a=x and b=9

(X+9) x(x-9)

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3 years ago

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. Write the exponential function modeling an initial population of 67,000 and a relative growth rate of 1.7% per year. What popu

Vlada [557]

Answer:

In 37 years the population will be 125,012

Step-by-step explanation:

Giving the following information:

Initial population (PV)= 67,000

Growth rate (g)= 1.7%= 0.017

Number of years (n)= 37

First, we will establish the future value (FV) formula:

FV= PV*(1+i)^n

FV= 67,000*(1.017^n)

Now, for 37 years:

FV= 67,000*(1.017^37)

FV= 125,012

In 37 years the population will be 125,012

6 0

2 years ago