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ryzh [129]
3 years ago
15

You're at a clothing store that dyes your clothes while you wait. You get to pick from 444 pieces of clothing (shirt, pants, soc

ks, or hat) and 333 colors (purple, blue, or orange). If you randomly pick the piece of clothing and the color, what is the probability that you'll end up with an orange hat?
Mathematics
1 answer:
AlexFokin [52]3 years ago
4 0

Answer:

1/12

Step-by-step explanation:

There are 4 clothing choices and 3 colors.

4x3=12

This means you have a 1 in 12 chance of getting an orange hat.

This presupposes that there are EQUAL numbers of pieces and colors.  (111 of each).

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Vedmedyk [2.9K]

Given, IJ = 3x + 3, HI = 3x - 1, and HJ = 3x + 8.

Since I is a point on line segment HJ, we can write

HJ=HI+IJ\begin{gathered} 3x+8=(3x-1)+(3x+3) \\ 3x+8=6x+2 \\ 8-2=6x-3x \\ 6=3x \\ 2=x \end{gathered}

Put x=2 in HJ=3x+8.

\begin{gathered} HJ=3\times2+8 \\ HJ=6+8 \\ =14 \end{gathered}

Therefore, the numerical length of HJ is 14.

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