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omeli [17]
3 years ago
8

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?You're at a clothing store that dyes your clothes while you wait. You get to pick from 444 pieces of clothing (shirt, pants, socks, 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
2 answers:
KIM [24]3 years ago
5 0

Answer:

Probability of orange hat = 0.0833

Step-by-step explanation:

We have to find the probability of getting an orange hat while we randomly choose from 444 pieces of clothing and 333 colors.

So we have to get hat from the clothing and we have to get orange color from the colors. All shirts , pants , socks and hats are in equal numbers and are 111 each. Also purple, blue and orange are 111 each in number.

The probability of getting hats = \frac{111}{444}

                                                    = 0.25

The probability of getting orange = \frac{1}{3} = 0.333

Final probability = 0.25 \times0.333

                           = 0.0833

erica [24]3 years ago
4 0

Answer:

1/6

Step-by-step explanation:

The 12 different outcomes are :

⇒ 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.

2/12= socks that are not orange.

2/12=1/6

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At the beginning of the day there were 90 little fish in the pond.At the end of the day there were 52 little fish in the pond.Fi
balu736 [363]

Answer:

42%

Step-by-step explanation:

The first step is to calculate the difference in the number of fishes from the beginning of the day to the end of the day.

90 -52

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Therefore the percent decrease can be calculated as follows

= 38/90 × 100

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3 years ago
What is 10 times 45 ?
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5 0
3 years ago
Read 2 more answers
a rectangular box with two sqaure opposite ends is to hold 8000 cubic inches. find the dimensions of the cheapest box if tge rec
AveGali [126]

Answer:

the dimensions of the box that minimizes the cost are 5 in x 40 in x 40 in

Step-by-step explanation:

since the box has a volume V

V= x*y*z = b=8000 in³

since y=z (square face)

V= x*y² = b=8000 in³

and the cost function is

cost = cost of the square faces *  area of square faces + cost of top and bottom * top and bottom areas + cost of the rectangular sides * area of the rectangular sides

C = a* 2*y² +  a* 2*x*y + 15*a* 2*x*y =  2*a* y² +  32*a*x*y

to find the optimum we can use Lagrange multipliers , then we have 3  simultaneous equations:

x*y*z = b

Cx - λ*Vx = 0 → 32*a*y -  λ*y² = 0 → y*( 32*a-λ*y) = 0 → y=32*a/λ

Cy - λ*Vy = 0  → (4*a*y + 32*a*x) - λ*2*x*y = 0

4*a*32/λ  + 32*a*x - λ*2*x*32*a/λ = 0

128*a² /λ +  32*a*x - 64*a*x = 0

32*a*x = 128*a² /λ

x  = 4*a/λ

x*y² = b

4*a/λ * (32*a/λ)² = b

(a/λ)³ *4096 =  8000 m³

(a/λ) = ∛ ( 8000 m³/4096 ) = 5/4 in

then

x  = 4*a/λ = 4*5/4 in = 5 in

y=32*a/λ = 32*5/4 in = 40 in

then the box has dimensions 5 in x 40 in x 40 in

3 0
3 years ago
PLEASE ITS MY LAST QUESTION
Serjik [45]

Answer:

y =  -  \frac{1}{4} x - 10

Step-by-step explanation:

The negative reciprocal of 4 is -1/4.

Let's substitute in our values, to find the y-intercept:

y =  -  \frac{1}{4} x + c

- 11 =  - 1 + c

c =  - 10

Finally, our full equation is:

y =  -  \frac{1}{4} x - 10

4 0
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