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tester [92]
3 years ago
14

The admission fee at the county fair is $2 for children and $4 for adults. on a certain day, 2000 people enter the fair and $500

0 is collected. using c as the variable to represent the number of children and a as the variable for adults, write a system of equations to determine how many children and how many adults attended. note down this system of equations so that you can use it for the next question.
Mathematics
1 answer:
kiruha [24]3 years ago
4 0
A + c = 2000 . . . . . . 2000 people entered the fair
4a +2c = 5000 . . . . $5000 was collected in admission fees

_____
Solving by your favorite method reveals
.. a = 500
.. c = 1500
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To solve this problem, we have to manually solve for the value of x for each choices or equations. The correct equation will give a value of -1 since the linear equations intersects at point (-1, -4).

<span>1st: 7x + 3 = x + 3</span>

7x – x = 3 – 3

6x = 0

<span>x = 0                (FALSE)</span>

 

<span>2nd: 7x − 3 = x – 3</span>

7x – x = 3 – 3

6x = 0

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<span>3rd: 7x + 3 = x − 3</span>

7x – x = - 3 – 3

6x = -6

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<span>4th: 7x − 3 = x + 3</span>

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6x = 6

<span>x = 1                (FALSE)</span>

 

Therefore the answer is:

<span>7x + 3 = x − 3</span>

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Step-by-step explanation:

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Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor
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Answer:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

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Where \mu and \sigma=0.08

Since the distribution for X is normal then the  we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error is given by:

SE= \frac{0.08}{\sqrt{24}}= 0.0163

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".  

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,0.08)  

Where \mu and \sigma=0.08

Since the distribution for X is normal then the  we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error is given by:

SE= \frac{0.08}{\sqrt{24}}= 0.0163

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The variable Z is directly proportional to X. when X is 15, Z has the value of 45. what is the value of Z when X=23
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If\ Z\ is\ directly\ proportional\ to\ X\ then\ \frac{Z}{X}=const.\\------------------------\\X=15\ and\ Z=45\\\\X=23\ and\ Z=?\\\\\frac{Z}{23}=\frac{45}{15}\to\frac{Z}{23}=3\ \ \ \ |multiply\ both\ sides\ by\ 23\\\\\huge\boxed{Z=69}
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