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3 years ago

15

A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato wants to pull a blue pen from the bag. What is the sample spac

e for this experiment?

2 answers:

butalik [34]3 years ago

6 0

Answer:

The sample space is 29........

Sever21 [200]3 years ago

3 0

Answer:

29 or blue depending on the sample space your looking for

Step-by-step explanation:

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Carter draws one side of equilateral △PQR on the coordinate plane at points P(-3,2) and Q(5,2). Which ordered pair is a possible

Law Incorporation [45]

Step-by-step explanation:

Hey, there!!!

Let me simply explain you about it.

We generally use the distance formula to get the points.

let the point R be (x,y)

As it an equilateral triangle it must have equal distance.

now,

let's find the distance of PQ,

we have, distance formulae is;

$pq = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} }$

$or \: \sqrt{( {5 + 3)}^{2} + ( {2 - 2)}^{2} }$

By simplifying it we get,

$8$

Now,

again finding the distance between PR,

$pr = \sqrt{( {x2 - x1}^{2} + ( {y2 - y1)}^{2} }$

or,

$\sqrt{( {x + 3)}^{2} + ( {y - 2)}^{2} }$

By simplifying it we get,

$= \sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 }$

now, finding the distance of QR,

$qr = \sqrt{( {x - 5)}^{2} + ( {y - 2)}^{2} }$

or, by simplification we get,

$\sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

now, equating PR and QR,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13} = \sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

we cancelled the root ,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = {x}^{2} + {y}^{2} -10x - 4y + 29$

or, cancelling all like terms, we get,

6x+13= -10x+29

16x=16

x=16/16

Therefore, x= 1.

now,

equating, PR and PQ,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 } = 8}$

cancel the roots,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = 8$

now,

(1)^2+ y^2+6×1-4y+13=8

or, 1+y^2+6-4y+13=8

y^2-4y+13+6+1=8

or, y(y-4)+20=8

or, y(y-4)= -12

either, or,

y= -12 y=8

Therefore, y= (8,-12)

by rounding off both values, we get,

x= 1

y=(8,-12)

So, i think it's (1,8) is your answer..

<em>Hope it helps</em><em>.</em><em>.</em><em>.</em>

3 0

3 years ago

Y = 3x<br> x + y = 52<br><br> substitution method <br> help quick <br> show all work

AfilCa [17]

Answer:

$x + 3x = 52 \\ 4x = 52 \\ x = 13 \\ y = 3x = 3 \times 13 = 39$

8 0

2 years ago

Please help!! (Will give brainy!) (Geometry) (look at picture)

stiv31 [10]

Answer:

First ones 90 and the second one is 48

Step-by-step explanation:

please brainliest me

5 0

2 years ago

Which data value has the highest frequency? 1 1/6 3 1/6 3/8 5/8

Marat540 [252]

Answer:

3 1/6

Step-by-step explanation:

To find the highest value, we have to evaluate each term individually,

1) 1 1/6 = 7/6 = 1.167

2) 3 1/6 = 19/6 = 3.16

3) 3/8 = 0.375

4) 5/8 = 0.625

Therefore, second data value (3 1/6) is highest.

8 0

2 years ago

Multi-Step Equation 2: Solve for x. Show your steps.<br> 6 - 5x + 2 = 3x - 12 + 2x

amm1812

Answer:

The answer is x = 8/5

Step-by-step explanation:

6 - 5x + 2 = 3x - 12 + 2x

4 - 5x = 5x - 12

4 = 10x - 12

16 = 10x

8/5 = x

4 0

2 years ago