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Hitman42 [59]
3 years ago
12

Two datasets arranged in descending order are: {8, x, 4,1) and (9. y, 5,2). If the medians of

Mathematics
2 answers:
Norma-Jean [14]3 years ago
6 0

Answer:

Step-by-step explanation:

Dataset 1 (in increasing order)

{1, 4, x, 8}

Dataset 2 (in increasing order)

{2, 5, y, 9}

Median of dataset 1

[4 + x] / [2]

Median of dataset 2

[5 + y] / [2]

since the medians of the two given sets of data are the same,

=> [4 + x] / [2] = [5 + y] / [2]

=> 2(5 + y) = 2(4 + x)

=> 10 + 2y = 8 + 2x

=> 2y - 2x = 8 - 10

=> 2y - 2x = - 2

=> 2(y - x) = - 2

=> [2(y - x)] / [2] = [- 2] / [2]

denominators and numerators cancel out

=> (y - x) = - 1

Therefore, (y - x) ² = (-1)²

=> (y - x) ² = 1

OverLord2011 [107]3 years ago
3 0

Answer:

Legon fo)

Step-by-step explanation:

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The diagram shows a square pyramid over a cube. What is the volume of the entire figure?
TEA [102]

Answer: 810

Step-by-step explanation:

first lets take down the information we were given,

height (h) of the pyramid should be 12 - 9 = 3

base (a) = 9

So we calculate the volume of a square pyramid

V = a²h/3

V = (9² × 3) / 3

v = (81 × 3) / 3

V = 81

now we calculate the volume of the cube using the formula

V = a³

V = 9³

V = 729

NOW to get the volume of the entire figure

we say

volume of square pyramid + volume of cube

81 + 729 = 810

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3 years ago
I need help solving for x
Vlada [557]

Answer:

7.5

Step-by-step explanation:

draw the triangles separately then write a fraction for the small one x/6 and 10/8 then to get rid of the 6 to get x by itself you multiply by 6 to get X and for the other side you do 10/8 then multiply 1.25 times 6 to get 7.5

please add a thanks and a brainliest

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6 0
3 years ago
2/3 time g equals 45<br><br> What does g equal
lions [1.4K]

Answer:

g=7.5

Step-by-step explanation:

2/3g=45

divide both sides by 2/3

g=7.5

or

g=7 1/2

7 0
3 years ago
Read 2 more answers
Write the equation of the line in point-slope form that passes through (5, -1) and has a slope of 2/3
kolezko [41]

Answer:

y-(-1)=2/3(x-5)

Step-by-step explanation:

Point slope form is

y-y_1=m(x-x_1) where m is the slope, x_1 is the x coordinate of a point that the line passes through, and y_1 is the y coordinate of a point the line passes through.

Substituting, we get

y-(-1)=2/3(x-5)

5 0
3 years ago
Please help with math
dezoksy [38]

Anwser: The hotels charge for a call is the same for a 20 minute call.

Step-by-step explanation:

Alrighty, same deal as the last problem, set up a equality, it should look like this:

$1+.80x=$2+.75x

Move the variable to the left of the equation:

.80x-.75x=2-1

Simplify

.05x=1

x=20

3 0
3 years ago
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