First, put the numbers in order...very important
301,305,310,317,325,328,345,361,362,394

minimum (smallest number) = 301
Q1 = 310
Q2 (middle number) = (325 + 328)/2 = 653/2 = 326.5
Q3 = 361
maximum (largest number) = 394

3 0

3 years ago

Part of the roof of a factory is devoted to mechanical support and part to green space. The area G that is designated as green s

alexgriva [62]

Answer:

Therefore, the area of green space would be 30 square yards.

Step-by-step explanation:

The area G that is designated as green space can be modeled by the polynomial $2x^2-7x$

the area M that is devoted to mechanical support can be modeled by the polynomial $x^2-9x+24.$

We are asked to find the area of the green space, when area of roof (R) is 36 square yards.

The area of roof would be equal to sum of areas of green space and mechanical support.

$R=G+M$

$G = 2x^2 -7x M = x^2 -9x +24$

the total area is given by 36 yd^2. And we know that:

$R = 36 yd^2 = G+M$

Replacing the info given we got:

$36 = 2x^2 -7x +x^2 -9x +24\\\\ 12= 3x^2 -16 x$

And we can rewrite this expression like this:

$3x^2 -16 x -12 =0$

And we can use the quadratic formual to solve this problem:

$X =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

With a = 3, b = -16 , c =-12. Replacing we have

$x = \frac{16 \pm \sqrt{(-16)^2 -4*(3)*(-12)}}{2*3}$

And the solutions for this case are:

Since length cannot be negative, therefore, the value of x would be 6.

The area of green space would be:

x = 6

$2x^2-7x\Rightarrow 2(6)^2-7(6)\\\\2x^2-7x=2(36)-42\\\\2x^2-7x=72-42\\\\2x^2-7x=30$

the area of green space would be 30 square yards.

8 0

3 years ago

Free think fast 20X10

Kryger [21]

20x10=200 Regards To you

7 0

3 years ago

Read 2 more answers

Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step

sveta [45]

Remember PEMDAS, you have to simplify the exponent first.

7 0

3 years ago