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Nesterboy [21]
3 years ago
6

In a survey of college students, each of the following was found. Of these students, 355 owned a tablet, 292 owned a laptop, 280

owned a gaming system, 191 owned a
tablet and a laptop. 198 owned a tablet and a gaming system, 136 owned a laptop and a gaming system, 66 owned a tablet, a laptop, and a gaming system, and 24
owned none of these devices. Complete parts a) through e) below.
a) How many college students were surveyed?
(Simplify your answer.)
Mathematics
1 answer:
avanturin [10]3 years ago
4 0

Add all the numbers together to find the total amount of college students surveyed.

355 + 292 + 280 + 191 + 198 + 136 + 66 + 24 = 1,542

The number is already simplified considering it's a whole number. The answer is either 1,542 or 1,500

<em>(I say either because when it says to simplify I'm not sure if they want it to be rounded.)</em>

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Answer:

The differential equation is  \frac{dx(t)}{dt} = k   x(t) [7000 - x(t)]

Step-by-step explanation:

From the question we are told that

     The number of students are n =  7000

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The number of student that don't have the flu is mathematically represented as

      z = 7000 - x(t)

The rate at which the disease spread is proportional to the number of interactions between students with the flu and students who have not yet contracted it, which can be mathematically represented as

         \frac{dx(t)}{dt} \ \ \ \alpha\ \ \   x(t) [7000 - x(t)]

=>     \frac{dx(t)}{dt} = k   x(t) [7000 - x(t)]

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The area of the house is the amount of space on the house.

  • The length of the addition is x + 20
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<h3>The length of the addition</h3>

The area of the addition is given as:

Area = x^2 + 10x - 200

Expand

Area = x^2 + 20x - 10x - 200

Factorize

Area = x(x + 20) - 10(x + 20)

Factor out x + 20

Area = (x -10)(x + 20)

The width of the addition is x - 10.

Hence, the length of the addition is x + 20

<h3>The area of the original house</h3>

The dimension of the original house is

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So, the area is:

Area =(x + 20)(x + 10)

Expand

Area =x^2 + 20x + 10x + 200

This gives

Area =x^2 + 30x + 200

Hence, the area of the original house is x^2 + 30x + 200

Read more about areas at:

brainly.com/question/24487155

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