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Setler79 [48]
2 years ago
7

The stem-and-leaf plot shows

Mathematics
1 answer:
timama [110]2 years ago
4 0

ANSWER:

6 points

EXPLANATION:

<u>Original readings</u>

120, 121, 122, 125, 126, 126, 129, 132, 132, 135, 137, 143, 143, 145, 148, 153, 153, 154, 164, 164, 173

The median is the 11th number (137).

<u>Additional readings added</u>

120, 121, 122, 125, 126, 126, 129, 132, 132, 135, 137, 143, 143, 145, 146, 148, 153, 153, 154, 158, 164, 164, 173

The median is the 12th number (143).

I'm not sure exactly what it means by 'points' but I think that means 143-137, which is 6 points?

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A walkway is being installed around a rectangular playground. The playground is 30 feet by 12 feet, and the total area of the pl
worty [1.4K]

Answer:

10.3

Step-by-step explanation:

From these question, we can illustrate the playground has a small rectangle with 30x12ft

the walkway is around it with an area of 1288ft²

the playground area = 30 x 12 = 360ft²

the length dimension of the walkway is 30+y+y( these is because the walkway is round the playground in two sides) = 30 +2y

the breadth dimension of the walkway is 12+y+y ( these is because the walkway is round the playground in two sides) = 12+2y

Area of walkway = (30+2y)(12+2y)= 30(12+2y)+2y(12+2y) = 360+60y+24y+4y²= 360+84y+4y²

The total area = 1288ft²

The total area = area of walkway - area of playground

1288ft² = 360+84y+4y² - 360

choose like terms

1288 = 360-360+84y+4y²

1288 = 84y+4y²

divide by 4

322= 21y+y²

y²+21y-322 =0

using quadratic formula

x= (-b±√b²-4ac)/2a = {-21±√21²-4(1)(-322)}/2x1 =  {-21±√441+1288}/2x1  = -21±√1729/2

-21+√1729/2   -21-√1729/2

√1729 = 41.5812457726

-21+√1729/2   -21-√1729/2

{-21+41.5812457726}/2   {-21-41.5812457726}/2

20.5812457726/2          -62.5812457726/2

10.2906228863              -31.2906228863

we disregard the negative sign

our width is 10.2906228863 ≅10.3

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