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s2008m [1.1K]
4 years ago
7

Sarah has a bag of 50 skittles, some are red and some are yellow. Sarah randomly pulls a skittle out of the bag and records it,

and returns it back to he bag.so far she has recorded 8 reds and 12 yellows.based on these results what is the MOST likely numbers of reds in the bag?
Mathematics
1 answer:
Leno4ka [110]4 years ago
6 0

Answer:

20

Step-by-step explanation:

Assume n is the number of times she pick a skittle out of the bag

The probability she pick out red : 8/n

The probability she pick out yellow : 12/n

=> The ratio of red and yellow skittle : 8/n : 12/n = 8/12 = 2/3, means every 2 red skittles we have 3 yellow ones.

But we have 50 skittles, so the likely numbers of reds in the bag is = 2*\frac{50}{5} = 20

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Solve the system of equations using any appropriate method: 5x + 2y = -4 and -x + 2y = 8
Maru [420]

Answer:

A

Step-by-step explanation:

-x + 2y = 8

5x + 2y = -4

+ x. -2y. -8

6x = -12

÷6. ÷6

x = -2

5(-2) + 2y = -4

-10 + 2y = -4

+10. +10

2y = 6

÷2. ÷2

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4 0
3 years ago
3) An open top box is to be constructed out of a 90 inch by 70 inch piece of cardboard by cutting squares out of the corners and
Elena L [17]

Answer:

a) The volume in cubic inches is 36000

b) The volume in cubic feet is 125/6

c) The volume in cubic yard is 125/162

Step-by-step explanation:

* Lets study the information of the problem to solve it

- The dimensions of the piece of cardboard are 90 inches by 70 inches

- The side of the cutting square is 15 inches

- The squares are cutting from each corner

∴ Each dimension of the cardboard will decrease by 2 × 15 inches

∴ The new dimensions of the piece of cardboard are;

90 - (15 × 2) = 90 - 30 = 60 inches

70 - (2 × 15) = 70 - 30 = 40 inches

- The dimensions of the box will be:

# Length = 60 inches

# width = 40 inches

# height = 15 inches

- The volume of any box with three different dimensions is

V = Length × width × height

∵ The length = 60 inches

∵ The width = 40 inches

∵ The height = 15 inches

∴ V = 60 × 40 × 15 = 36000 inches³

a) The volume in cubic inches is 36000

* Now lets revise how to change from inch to feet

- 1 foot = 12 inches

∵ 1 foot = 12 inches

∴ 1 foot³ = (12)³ inches³

∴ 1 foot³ = 1728 inches³

∵ The volume of the box is 36000 inches³

∴ The volume of the box in cubic feet = 36000 ÷ 1728 = 125/6  

b) The volume in cubic feet is 125/6

* Now lets revise how to change from feet to yard

- 1 yard = 3 feet

∵ 1 yard = 3 feet

∴ 1 yard³ = (3)³ feet³

∴ 1 yard³ = 27 feet³

∵ The volume of the box is 125/6 feet³

∴ The volume of the box in cubic yard = 125/6 ÷ 27 = 125/162  

c) The volume in cubic yard is 125/162

8 0
4 years ago
Read 2 more answers
The cost of a game that was p dollars with a 15% off coupon online plus $1.99 for shipping
Shtirlitz [24]
(p - 0.15p) + 1.99

This is the equation to solve.

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8 0
3 years ago
bob travels from inglewood to Anytown; a distance of 20km. he walks 800m and cycles the rest of the way. What percentage of the
Semmy [17]
We can convert 20km to 20,000m. Then, we can subtract 800m (walking distance) from 20,000m which would result in 19,200m. Then we can put 19,200m and 20,000m as a fraction (19200/20000). Before we can multiply it by 100 to make it in the percentage form, we can get rid of 2 zeroes for both number making it 192/200 and then further simplifying it to 24/25 by dividing both numbers by 8. Finally to get the percentage we can multiply 24 and 100 (2400) and then divide the result (2400) by 25. The final answer is 2400/25=96 meaning he cycled 96% of the journey and walked 4% of the journey (100-96=4).
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4 years ago
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klemol [59]

Answer:

0.21 and 0.22

Step-by-step explanation:

4 0
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