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3 years ago

Find the median of the following data set. 1 1/4,5/8 ,3/5 ,1/2 ,1 1/2, 1 3/4

Mathematics

1 answer:

pashok25 [27]3 years ago

8 0

Answer:

1. 7/8

Step-by-step explanation:

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Find the solution to the system of equations below.<br> 2y = 2x - 8<br> 2x + y = 5

ladessa [460]

Answer:

The solution to the system of equations is:

(x, y) = (3, -1)

The graph is attached below.

Step-by-step explanation:

Given the system of equations

$2y = 2x - 8$

$2x + y = 5$

Let us solve the system of equations using the elimination method

$\begin{bmatrix}2y=2x-8\\ 2x+y=5\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}2y-2x=-8\\ y+2x=5\end{bmatrix}$

Multiply y + 2x = 5 by 2: 2y + 4x = 10

$\begin{bmatrix}2y-2x=-8\\ 2y+4x=10\end{bmatrix}$

subtracting the equations

$2y+4x=10$

$-$

$\underline{2y-2x=-8}$

$6x=18$

solve 6x = 18 for x

$6x=18$

Divide both sides by 6

$\frac{6x}{6}=\frac{18}{6}$

simplify

$x=3$

For 2y - 2x = -8 plug in x = 3

$2y-2\cdot \:3=-8$

$2y-6=-8$

Add 6 to both sides

$2y-6+6=-8+6$

Simplify

$2y=-2$

Divide both sides by 2

$\frac{2y}{2}=\frac{-2}{2}$

Simplify

$y=-1$

Therefore, the solution to the system of equations is:

(x, y) = (3, -1)

The graph is attached below.

8 0

2 years ago

What I'd the square root of 81

Ludmilka [50]

the square root of 81 is 9

5 0

3 years ago

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A soft-drink machine is regulated so that the amount of drink dispensed is approximately normally distributed with standard devi

iVinArrow [24]

Answer:

Step-by-step explanation:

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3 years ago

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Please solve this <br>Solve by completing the square. 4x2+8x−3=0

Greeley [361]

Step-by-step explanation:

4x2+8x−3=0

For this equation: a=4, b=8, c=-3

4x2+8x+−3=0

Step 1: Use quadratic formula with a=4, b=8, c=-3.

−b±√b2−4ac

x= −(8)±√(8)2−4(4)(−3)

2(4)

x= −8±√112

8 x=−1+

1 2 √7 or x=−1+

−1 2 √7

Answer: x=−1+

1 2√7 or x=−1+

−1 2 √7

7 0

1 year ago

Deshi has 427 marbles and Elaheh has 394 marbles Deshi wants to give 125 marbles to his little brother how many total marbles wi

hjlf

Answer: Deshi will have 302 marbles and Elaheh will have 519.

Step-by-step explanation:

Deshi's Marbles will subtract 125.

427 - 125 = 302.

Elaheh's Marbles will add 125.

394 + 125= 519.

3 0

2 years ago