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2 years ago

Find the interquartile range (IQR) for the following data set: 52, 60, 24, 36, 48, 52, 72

Mathematics

1 answer:

RideAnS [48]2 years ago

8 0

Answer:

Step-by-step explanation:

The interquartile range defines the difference between the third and the first quartile.

Let's put this data set in ascending order:

24, 36, 48, 52, 52, 60, 72

The median is 52. The median of both the lower (1st quartile) and upper half (3rd quartile) of the data is 36 and 60.

Now we can subtract the first quartile from the third quartile (60 - 36) to get the interquartile range of 24.

Hope this helped! :)

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Factor the expression 3x^2-15x

tester [92]

Factor out 3x
Answer: 3x(x - 5)

5 0

3 years ago

Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se

kolbaska11 [484]

Answer:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

Step-by-step explanation:

Given:

The expression to expand is given as:

$(x-3)(x-9)(x-4)$

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

$(a + b)(c + d) = ac + ad + bc + bd$

$(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27$

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

$(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)$

Therefore, the equivalent expression after expanding is given as:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

3 0

3 years ago

HEELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLS

Natali5045456 [20]

9514 1404 393

Answer:

300 g

Step-by-step explanation:

The problem statement tells us ...

36g = 0.12×d . . . . . where d represents the daily value

36g/0.12 = d = 300g . . . . divide by the coefficient of d

300 g of carbohydrates per day are recommended.

7 0

3 years ago

Someone pls help:( I can’t

max2010maxim [7]

Answer:

x = 8 is the answer :)

Step-by-step explanation:

Slope(m) = -2/5

slope is passing through the points: (x,1) and (3,3)

$m=\frac{y_2-y_1}{x_2-x_1}$

$m = \frac{3-1}{3-x}$

$m=\frac{2}{3-x}$

$-\frac{2}{5} =\frac{2}{3-x}$

-2(3 - x) = 2 × 5

-6 + 2x = 10

2x = 10 + 6

2x = 16

x = 8

Hopefully, this answer helped :)

8 0

3 years ago

What is the surface area? 10 cm 8 cm 10 cm 12 cm 10 cm square centimeters

Alinara [238K]

Step-by-step explanation:

surface area = (2*0.5*12*8) + (2*10*10) + (12*10)

= 96 + 200 + 120

= 416 cm^2

6 0

3 years ago