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2 years ago

#16 i

Mathematics

1 answer:

Vlad1618 [11]2 years ago

4 0

The tuition is an illustration of a linear function.

The cost of tuition and fees in the academic year 2023-2024, is $12260

Let the number of academic years after 2014-2015 academic year be x.

So, we have:

$\mathbf{(x,y) \to (0,9200)(5,10900)}$

A linear function is represented as:

$\mathbf{y = mx + b}$

Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)

So, we have:

$\mathbf{10900 = 5m + 9200}$

Subtract 9200 from both sides

$\mathbf{1700 = 5m}$

Divide both sides by 5

$\mathbf{340 = m}$

So, we have:

$\mathbf{m =340 }$

The function becomes

$\mathbf{y = mx + b}$

$\mathbf{y = 340x + 9200}$

In the academic year 2023-2024, x = 9.

So, we have:

$\mathbf{y = 340x + 9200}$

$\mathbf{y = 340 \times 9 + 9200}$

$\mathbf{y = 3060 + 9200}$

$\mathbf{y = 12260}$

Hence, the cost of tuition and fees is $12260

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How do I do this!!!!!

Readme [11.4K]

The expected values of the binomial distribution are given as follows:

1. 214.

2. 21.

3. 31.

<h3>What is the binomial probability distribution?</h3>

It is the <u>probability of exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

For item 1, the parameters are:

p = 3/7, n = 500.

Hence the expected value is:

E(X) = np = 500 x 3/7 = 1500/7 = 214.

For item 2, the parameters are:

p = 0.083, n = 250.

Hence the expected value is:

E(X) = np = 250 x 0.083 = 21.

For item 3, the parameters are:

p = 1/13, n = 400.

Hence the expected value is:

E(X) = np = 400 x 1/13 = 31.

More can be learned about the binomial distribution at brainly.com/question/24863377

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1 year ago

What is the slope of a relation with ordered pairs of (-5, 3) and (4.1).

Georgia [21]

3-1 /-5-4
2/-9
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3 years ago

Eight packages of strawberries cost $24. How many packages can you buy for $12

romanna [79]

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3 years ago

A refrigerator costs $580 a year to run. A family purchases a new one for $1200 that will save them 22% annually in energy costs

NeTakaya

Answer:

It will take nine years and four months for the refrigerator to pay for itself.

Step-by-step explanation:

The new refrigerator which costs $1200, saves the family 22% annually in energy cost.

Since the old refrigerator costs $580 to run, we want to determine how many years it will take for 22% of $580 per year to make $1200.

22% of $580

= 580 × 0.22

= 127.6

That is, it saved then $127.6 per year.

Now,

$1200/127.6

≈ 9.4

Which means, it will take 9 years and 4 months for the refrigerator to pay for itself.

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2 years ago

Consider the function below, which has a relative minimum located at (-3 , -18) and a relative maximum located at (1/3, 14/17).

leonid [27]

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3 years ago