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Papessa [141]
3 years ago
12

Carolyn flips a coin 20 times and writes down the results of each flip. Is this event independent or dependent? Explain.

Mathematics
1 answer:
Alex3 years ago
8 0

Answer:

Dep

Step-by-step explanation:

I guess Dep., Because Depending on which side it lands Is the outcome.

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A The length of a rectangle is 4 m more
Lady bird [3.3K]

Given :

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  • The area of the rectangle is 45m²

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To Find :

  • The length and width of the rectangle.

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Solution :

We know that,

\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:

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Let's assume the length of the rectangle as x and the width will be (x – 4).

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Now, Substituting the given values in the formula :

\qquad \sf \: { \dashrightarrow x  \times  (x - 4) = 45 }

\qquad \sf \: { \dashrightarrow {x}^{2}  - 4x = 45 }

\qquad \sf \: { \dashrightarrow {x}^{2}  - 4x - 45 = 0 }

\qquad \sf \: { \dashrightarrow {x}^{2}    - 9x+ 5 x - 45 = 0 }

\qquad \sf \: { \dashrightarrow x(x - 9) + 5(x - 9) = 0 }

\qquad \sf \: { \dashrightarrow (x  - 9) (x  + 5) = 0 }

\qquad \sf \: { \dashrightarrow x = 9, \: \: x =  - 5}

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Since, The length can't be negative, so the length will be 9 which is positive.

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\qquad { \pmb{ \bf{ Length _{(rectangle)} = 9\:m}}}\:

\qquad { \pmb{ \bf{ Width _{(rectangle)} = 9 - 4=5\: m}}}\:

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

8 0
2 years ago
The midpoint of (3,4) and (5.5,0)​
meriva

Answer:

(4.25,2)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates and divide by 2

x = (3+5.5) /2 = 8.5/2 =4.25

To find the y coordinate of the midpoint, add the y coordinates and divide by 2

y = ( 4+0)/2 = 4/2 =2

8 0
3 years ago
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