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exis [7]
3 years ago
8

A bag contains 5 purple, 24 green, 12 yellow, and 18 gray marbles. A marble is drawn at random. What is the theoretical probabil

ity, as a decimal, of drawing a green marble? Round the decimal to the nearest hundredth.
Mathematics
2 answers:
Anarel [89]3 years ago
7 0

|\Omega|=59\\|A|=24\\\\P(A)=\dfrac{24}{59}\approx0.41

Nookie1986 [14]3 years ago
5 0

p(event) = (number of ways desired outcome can happen)/(total number of outcomes)

The total number of outcomes is based on drawing any marble of any color. It is the the total number of marbles which is 5 + 24 + 12 + 18 = 59.

The desired outcome is to draw a green marble. Since there are 24 green marbles, the number of desired outcomes is 24.

p(green) = 24/59

p(green) = 0.406779...

Answer: 0.41

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A candy store owner wants to mix some candy costing $1.25 a pound
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The candy store owner should use 37.5 pounds of the candy costing $1.25 a pound.

Given:

  • Candy costing $1.25 a pound is to be mixed with candy costing $1.45 a pound
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To find: The amount of candy costing $1.25 a pound that should be mixed

Let us assume that the resulting mixture should be made by mixing 'x' pounds of candy costing $1.25 a pound.

Since the total weight of the resulting mixture should be 50 pounds, 'x' pounds of candy costing $1.25 a pound should be mixed with '50-x' pounds of candy costing $1.45 a pound.

Then, the resulting mixture contains 'x' pounds of candy costing $1.25 a pound and '50-x' pounds of candy costing $1.45 a pound.

Accordingly, the total cost of the resulting mixture is 1.25x+1.45(50-x)

However, the resulting mixture should be 50 pounds and should cost $1.30 a pound. Accordingly, the total cost of the resulting mixture is 1.30 \times 50

Equating the total cost of the resulting mixture obtained in two ways, we get,

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This implies that the resulting mixture should be made by mixing 37.5 pounds of candy costing $1.25 a pound.

Learn more about cost of mixtures here:

brainly.com/question/17109505

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