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Lunna [17]
3 years ago
5

What is the possibility that a red or green marble will be selected from a bag containing 9 red marbles, 6 blue marbles , 7 gree

n marbles and 11 yellow marbles
Mathematics
1 answer:
marusya05 [52]3 years ago
8 0

Answer:

16/33

Step-by-step explanation:

We have a bag of :

9 red marbles

6 blue marbles

7 green marbles

11 yellow marbles

Total number of marbles = 33 marbles.

The possibility that a red or green marble will be selected from a bag

P( Red or Green) = P(Red) + P(Green)

In the question we are not told if it is with replacement or without. We do both

With replacement

P( R or G) = P(Red) + P(Green)

P(Red)= 9/33

P(Green) = 7/33

= 9/33 + 7/33

= 16/33

Therefore, the possibility that a red or green marble will be selected from a bag is 16/33

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Answer:

#1Without the roof panels, the surface area (except for the open panel) is 176.25 sq. ft.

With the roof panels, the surface area (except for the open panel) is 196.67 sq. ft. 

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The gables are triangles, which have an area formula of

A = 1/2bh

For the gables, this is 1/2(1.5)(7.5) = 5.625 sq. ft.  Since there are two of them, this makes 2*5.625 = 11.25 sq. ft.

The closed side under a gable has an area of 6*7.5 = 45 sq. ft.

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#2 Solar cells can transform solar energy into electric energy. In a sunny day, the average power the sun incides on earth is approximately 1,000 watts (heat). if we had a 100% efficient solar cell, it would mean that the total amount of sunlight energy would be transformed into electrical energy, i.e. 1,000 watts of power. Its efficiency could be 1000 watts(solar cells)/1000(sunlight)x100(to express it in percentage).

Since the solar cells that will be mounted in the roof will produce 41 watts per square meter, its efficiency is calculated by dividing 41 /1,000x100. This gives us an efficiency of 4.1%. In order to generate 1,000 watts of power, we will need to use a simple rule-of-three, described like the following:

if 41 watts are produced by the solar cells in 1 square meter, how many square meters will be needed to produce 1,000 watts?

i.e. 41 watts   ----------- 1 sq meter

    1,000 watts ------------   x

Finally, we can assume that the solar cell system will produce this amount of energy constantly during a full day cycle (using solar cells at day and batteries at night).

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