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4 years ago

What is the median of the data set? {23, 19, 20, 17, 22, 15, 25, 18, 17, 18, 24, 21}

Mathematics

2 answers:

sergey [27]4 years ago

6 0

The median of the set is 19.5

zlopas [31]4 years ago

4 0

First put the numbers in order, least to greatest.
15, 17, 17, 18, 18, 19, 20, 21, 22, 23, 24, 25
Count the amount of number in the data set. In this one there is 12. Since 12 is an even number, the media will not be in the data set because there is no possible way to have the same amount of numbers on each side. SO, count 6 numbers in to the data set (which would be 19). Next to that is 20. Add 19+20=39. Divide 39 by 2 (2 numbers), which is 19.5
The median of this data set is 19.5
Hope I helped :)

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Aarva cleans 6 apartments in 2.5 hours. how long will it take him to clean 30 apartments

Anon25 [30]

6 apartments in 2.5 hours
30 apartments in ? Hours

6/2.5=30/x
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x=75/6
x=12.5 hours

3 0

3 years ago

Hello! How do I find the surface area of this prism? Thanks!

Studentka2010 [4]

Answer: Choice C) 124 square cm

------------------------------------------------------------------

Explanation:

Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5

A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.

------------

Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.

In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35

So
LSA = p*d
LSA = 11.35*10
LSA = 113.5

Add this LSA to the base area found earlier
10.5+113.5 = 124

The total surface area is 124 square cm

8 0

4 years ago

Help anyone can help me do this question,I will mark brainlest.

astraxan [27]

d =√((x_2-x_1)²+(y_2-y_1)²)

This is the formula of distance between

So, I hope u will get all answer of the questions by using this formula...

Thanks...

8 0

3 years ago

Pls help me

masha68 [24]

Answer:

Step-by-step explanation:

Volume of the figure = Base area * height

Base area:

Base area = area of trpezium + area of triangle

Trapezium:

a, b area the length of parallel sides and h is the height of trapezium.

a = 8 m ; b = 5 m & h = 3 m

$\boxed{ \text{ Area of trapezium = $\dfrac{(a +b)*h}{2} $}}$

$=\dfrac{(8+5)*3}{2}\\\\\\=\dfrac{13*3}{2}\\\\\\= \dfrac{39}{2}\\\\\\= 19.5 \ m^{2}$

Triangle:

height = 4 m & base = 8 m

$\boxed{\text{Area of triangle =$\dfrac{1}{2}*base*height$}}$

$=\dfrac{1}{2}*8*4\\\\\\= 4*4\\\\= 16 \ m^{2}$

Base area = 19.5 + 16

= 35.5 m²

Volume of the figure = Base area * height

= 35.5 * 14

= 497 m³

8 0

3 years ago

A spotlight is made by placing a strong light bulb inside a reflective paraboloid formed by rotating the parabola x^2=4y around

Nadya [2.5K]

Answer:

1.00 inches

Step-by-step explanation:

The distance from vertex to focus is "p" in the quadratic equation ...

x^2 = 4py

In the given equation, p=1. Since units are inches, ...

the bulb should be placed 1.00 inches from the vertex.

7 0

3 years ago