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kifflom [539]
1 year ago
8

Read and answer questions

Mathematics
1 answer:
Rainbow [258]1 year ago
5 0

If a college has 17 tutors to be appointed among the students in four departments, and the number of students in each department is 315, 310, 105 and 80 respectively, the Standard Divisor is 47.647

As per the question statement, a college has 17 tutors to be appointed among the students in four departments, and the number of students in each department is 315, 310, 105 and 80 respectively.

We are required to calculate the Standard Divisor of the above mentioned problem.

To solve this question, we need to know the formula to calculate the standard divisor, which goes as,

Standard Divisor = [(Total Population)/(Number of Candidates)]

Here, the total population of students = (315 + 310 + 105 + 80) = 810

And, the number of teachers to be appointed = 17 (given)

Therefore, Standard Divisor  = (810 / 17) = 47.647

  • Standard Divisor: In Mathematics, standard divisor is the quotient of the total population divided by the number of seats (or other allocations) to be distributed.

To learn more about Standard Divisor, click on the link below

brainly.com/question/17123675

#SPJ1

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Part A. Describe a relationship modeled by the function f(x) = 4x³ - 72x² + 320x, and explain how the function models the relati
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Answer:A relationship modeled by the function f(x) = 4x³ - 72x² + 320x is the volume of a right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.

Explanation:

To find a relationship modeled by the given function it is recommendable to factor it.

The function is: f(x)=4x3- 72 x2+320x

The first step to factor it is to extract common factor 4x: f (x)=4x(x2-18=80)

The second step is to factor the quadratic trinomial.

That is made by writing it as a product of two binomials, for which the two constant terms add up - 18 and their product is 80. Those terms are -10 and - 8; so the two factors are (x - 10) and (x - 8), and the factored form is: f(x)=(4x)(x-10)(x-8)

Then, a relationship modeled by that polynomial is the volume of right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.

x is the desired (unknown) length

4x is 4 times the desired length

x - 10 is 10 less than the desired length

x - 8 is 8 less than the desired length

Thus, the volume of the prism is the product of the three factors:

Volume = (4x)(x-10)(x-8)

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