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3 years ago

If there are 46 scores in a set of data, in which position will the lower quartile lie

Mathematics

1 answer:

Eva8 [605]3 years ago

3 0

Answer:

Position 12.

Step-by-step explanation:

It will be n the center of the bottom 23 numbers ( when the data is arranged in ascending order).

That is in position 12.

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Solve the equations for all values of x by completing the square x^2+62=-16x

lorasvet [3.4K]

Answer:

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Step-by-step explanation:

To complete the square, we first have to get our equation into $ax^2 + bx = c$ form.

First we add 16x to both sides:

$x^2 + 16x + 62 = 0$

And now we subtract 62 from both sides.

$x^2 + 16x = -62$

We now have to add $(\frac{b}{2})^2$ to both sides of the equation. b is 16, so this value becomes $(16\div2)^2 = 8^2 = 64$ .

$x^2 + 16x + 64 = -62+64$

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because $8\cdot8=64$ and $8+8=16$ .

$(x+8)^2 = -62 + 64$

We can now take the square root of both sides.

$x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}$

We can now isolate x on one side by subtracting 8 from both sides.

$x = \pm\sqrt{2} - 8$

So our solutions are

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Hope this helped!

4 0

3 years ago

How many times does 28 go in to 45

taurus [48]

Answer:

<em>About 1.61 times </em>

Step-by-step explanation:

45/28≈1.61 times

So the answer is 1.61 Times

<em>Hope I Helped</em>

4 0

3 years ago

how do you write the equation of a line in slope-intercept form when given two points on the line? the two points are (-4,4) and

Feliz [49]

Y=7x+ 32 you find slope and y intercept

6 0

3 years ago

A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller. Which call will be the f

Ymorist [56]

Answer:

120th caller

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

$100 bill = 30th caller

Movie tickets = 40th caller

So, to find out first to win both prizes, we will use LCM method,

LCM of 30 and 40 = 10 | 30 , 40

| 3 , 4

LCM of 30 and 40 = 10 × 3 × 4 = 120

Hence, 120th caller will be the first to win both prizes.

3 0

3 years ago

What are the solutions to the system of equations? y=2x^2−6x+3 y=2x+3

adoni [48]

Answer:

Step-by-step explanation:

y=2x²-6x+3

y=2x+3

2x²-6x+3=2x+3

2x²-6x+3-2x-3=0

2x²-8x=0

2x(x-4)=0

x=0,4

y=0+3=3

and y=2(4)+3=11

so solutions are (0,3) and (4,11)

5 0

3 years ago