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KonstantinChe [14]
3 years ago
9

You're at a clothing store that dyes your clothes while you wait. You get to pick from 4 pieces of clothing

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
7 0

1 / 12 is the probability that you'll end up with an  orange hat.

<u>Step-by-step explanation:</u>

Given that,

  • There are 4 piece of clothing ⇒ shirt, pants, socks, or hat
  • There are 3 possible colors ⇒ purple, blue, or orange

<u>To find the total number of outcome :</u>

Total outcomes ⇒ (number of clothes) × (number of colors)

⇒ 4 × 3 = 12

 Therefore, there will be 12 different possibilities.

<u>The 12 different outcomes are :</u>

⇒ Purple shirt, blue shirt, orange shirt

⇒ Purple pants, blue pants, orange pants

⇒ Purple socks, blue socks, orange socks

⇒ Purple hat, blue hat, and orange hat.

Now, the probability that you'll end up with an  orange hat if you choose on random of 12 possibilities ⇒ No.of orange hats / Total no.of outcomes.

∴ P(orange hat) = 1 / 12

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
4x + 108 = 144 what is the value of x
ivann1987 [24]
Here is the correct answer.

4x + 108 = 144(equation)
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7 0
3 years ago
Read 2 more answers
The length of a rectangle is 1 units more than the width. The area of the rectangle is 56 units. What is the width, in units, of
pishuonlain [190]

Answer:

7

Step-by-step explanation:

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8 0
3 years ago
In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?
kotegsom [21]

The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

Step-by-step explanation:

The given is,

                   In ΔWXY, ∠Y=90°

                        XW = 53

                         YX = 28

                        WY = 45

Step:1

             Ref the attachment,

             Given triangle XWY is right angled triangle.

             Trigonometric ratio's,

                              Cos ∅  = \frac{Adj}{Hyp}    

             For the given attachment, the trigonometric ratio becomes,

                              Cos ∅  = \frac{XY}{XW}.....................................(1)

             Let, ∠X = ∅

             Where, XY = 28

                         XW =  53

             Equation (1) becomes,

                                 Cos ∅  = \frac{28}{53}

                                 Cos ∅ = 0.5283

                                        ∅ = cos^{-1} (0.5283)

                                        ∅ = 58.109°

Result:

          The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

             

4 0
3 years ago
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