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Illusion [34]
2 years ago
13

An animal shelter provides shelter for dogs and cats. The animal shelter currently has a total of 117 animals. If the number of

cats is 3 more than 5 times the number of dogs, how many dogs and cats are currently at the animal shelter?
Mathematics
1 answer:
Reika [66]2 years ago
5 0

Answer:

98 cats and 19 dogs

Step-by-step explanation:

cat = c

dog = d

The animal shelter currently has a total of 117 animals

c + d = 117

c = 117 - d

the number of cats is 3 more than 5 times the number of dogs

c = 3 + 5d

subtitute c

117 - d = 3 + 5d

117 - 3 = 5d + d

114 = 6d

6d = 114

d = 114/6 = 19

so, the cat is 117-19 = 98

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8 0
3 years ago
ABC Auto Insurance classifies drivers as good, medium, or poor risks. Drivers who apply to them for insurance fall into these th
Misha Larkins [42]

Answer:

a.P(E_1/A)=0.0789

b.P(E_2/A)=0.395\

c.P(E_3/A)=0.526

Step-by-step explanation:

Let E_1,E_2,E_3 are the events that denotes the good drive, medium drive and poor risk driver.

P(E_1)=0.30,P(E_2)=0.50,P(E_3)=0.20

Let A be the event that denotes an accident.

P(A/E_1)=0.01

P(A/E_2=0.03

P(A/E_3)=0.10

The company sells Mr. Brophyan insurance policy and he has an accident.

a.We have to find the probability Mr.Brophy is a good driver

Bayes theorem,P(E_i/A)=\frac{P(A/E_i)\cdot P(E_1)}{\sum_{i=1}^{i=n}P(A/E_i)\cdot P(E_i)}

We have to find P(E_1/A)

Using the Bayes theorem

P(E_1/A)=\frac{P(A/E_1)\cdot P(E_1)}{P(E_1)\cdot P(A/E_1)+P(E_2)P(A/E_2)+P(E_3)P(A/E_3)}

Substitute the values then we get

P(E_1/A)=\frac{0.30\times 0.01}{0.01\times 0.30+0.50\times 0.03+0.20\times 0.10}

P(E_1/A)=0.0789

b.We have to find the probability Mr.Brophy is a medium driver

P(E_2/A)=\frac{0.03\times 0.50}{0.038}=0.395

c.We have to find the probability Mr.Brophy is a poor driver

P(E_3/A)=\frac{0.20\times 0.10}{0.038}=0.526

7 0
3 years ago
The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. Which statement is correct?
VikaD [51]

The complete question is

"The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. Which statement is correct?

a. The domain of this function represents the total cost for a job

b. H is a function of C

c. The painter charges a $35 service fee in addition to an hourly rate

d. The painters hourly rate is $35.00"

The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. So, the correct option is D. The painters hourly rate is $35.00

<h3>What is a function?</h3>

Function is a type of relation, or rule, that maps one input to specific single output.

The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours.

The fixed fee, or service fee, is $60.

$35 is the hourly fee since in the function, it is 35 that is multiplied by the number of hours.

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4 0
1 year ago
James has a rectangular plot of land that is 250 feet long and x feet wide. He wants to build a fence around the plot of the lan
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Answer:

= 221

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Lenght = 250

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2 x (250 +x) = 942

500 + 2x = 942

2x = 942 - 500= 442

x = 442 /2  = 221

I hope Im right!!

7 0
2 years ago
The length of a rectangle is twice it’s width if the perimeter of the rectangle is 60 yards find its length and width
grandymaker [24]
Length =20
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6 0
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