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lesya692 [45]
2 years ago
8

day and night kennel charges $20 per day plus a food fee of $15 to board a pet. home away from home kennel charges $30 per day p

lus a food fee of $5. which system represents this real-world situation?
Mathematics
2 answers:
Mrrafil [7]2 years ago
8 0
Let n be number of days and C the total cost;
Charges by Day and Night kernel,
C=15+20n

Charges by Home away from Home;
C=5 + 30n

The system of equations then is;
C=15+20n
C=5+ 30n

spin [16.1K]2 years ago
6 0

Answer:

y=20x+15...(1)

y=30x+5...(2)

Step-by-step explanation:

Let x represent the number of days. and y be the total cost.

We have been given that day and night kennel charges $20 per day, so charges for x days will be 20x.

We are also told that they charge food fee of $15 to board a pet, so total cost of boarding a pet in day and night kennel would be y=20x+15...(1)

The home away from home kennel charges $30 per day, so charges for x days will be 30x.

We are also told that they charge food fee of $5 to board a pet, so total cost of boarding a pet in day and night kennel would be y=30x+5...(2)

Therefore, our required system would be:

y=20x+15...(1)

y=30x+5...(2)

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A sports car and a minivan run out of gas and are pushed to the side of the road. Which is easier to push, and why?
nirvana33 [79]

Answer:

The sports car, because it has less mass and therefore less inertia

Step-by-step explanation:

When an object has less inertia it is easier to be put into and out of motion, and a sports car would obviously weigh less than a van.

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Find the x-intercept for 11x - 33y = 99
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The answer is twelve and you can thank me later
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2 years ago
Jordan had the following scores on her math tests last quarter: 96, 89, 79, 85, 87, 94,
Lisa [10]

Answer:

a) 5.5

b) None

Step-by-step explanation:

The given data set is {96,89,79,85,87,94,96,98}

First we must find the mean.

\bar X=\frac{96+89+79+85+87+94+96+98}{8}=\frac{724}{8}=90.5

We now find the absolute value of the distance of each value from the mean.

This is called the absolute deviation

{|96-90.5|,|89-90.5|,|79-90.5|,|85-90.5|,|87-90.5|,|94-90.5|,|96-90.5|,|98-90.5|}

{5.5,1.5,11.5,5.5,3.5,3.5,5.5,7.5}

We now find the mean of the absolute deviations

MAD=\frac{5.5+1.5+11.5+5.5+3.5+3.5+5.5+7.5}{8} =\frac{44}{8} =5.5

The least absolute deviation is 1.5. This is not within one absolute deviation.

Therefore none of the data set is closer than one mean absolute deviation away from  the mean.

5 0
2 years ago
What is the domain and range of the equation y=500(1.08)^x
Marina CMI [18]
(x) is an element of a real number. This means it could be an integer, fraction or irrational number.

* As x approaches infinity, y approaches infinity.

* As x approaches minus infinity, y approaches 0.

-------------

Domain:

(x) is an element of a real number

Range:

y>0
6 0
2 years ago
A brewery produces cans of beer that are supposed to contain exactly 12 ounces. But owing to the inevitable variation in the fil
MArishka [77]

Answer:

T \sim N (\mu = 6*12=72 , \sigma= \sqrt{6} *0.3=0.735)

P(T \leq 72) = P(Z< \frac{72-72}{0.735}) = P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solutio to the problem

Let X the random variable that represent the amount of beer in each can of a population, and for this case we know the distribution for X is given by:

X \sim N(12,0.3)  

Where \mu=12 and \sigma=0.3

For this case we select 6 cans and we are interested in the probability that the total would be less or equal than 72 ounces. So we need to find a distribution for the total.

The definition of sample mean is given by:

\bar X = \frac{\sum_{i=1}^n X_i}{n} = \frac{T}{n}

If we solve for the total T we got:

T= n \bar X

For this case then the expected value and variance are given by:

E(T) = n E(\bar X) =n \mu

Var(T) = n^2 Var(\bar X)= n^2 \frac{\sigma^2}{n}= n \sigma^2

And the deviation is just:

Sd(T) = \sqrt{n} \sigma

So then the distribution for the total would be also normal and given by:

T \sim N (\mu = 6*12=72 , \sigma= \sqrt{6} *0.3=0.735)

And we want this probability:

P(T\leq 72)

And we can use the z score formula given by:

z = \frac{x-\mu}{\sigma}

P(T \leq 72) = P(Z< \frac{72-72}{0.735}) = P(Z

6 0
2 years ago
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