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Elan Coil [88]
3 years ago
14

There are 6 yellow, 4 orange, 2 green, and five blue plastic building blocks all the same

Mathematics
1 answer:
Andru [333]3 years ago
3 0

We want to get the probability of selecting an orange, putting it back, then  selecting a block that is not orange.

We will see that the probability is P = 0.1799

In the bag we have:

  • 6 yellow blocks
  • 4 orange blocks
  • 2 green blocks
  • 5 blue blocks.

For a total of 6 + 4 + 2 + 5 = 17 blocks.

First we want to find the probability of getting an orange block, as all the blocks have the same probability of being randomly drawn, the probability of randomly drawing an orange block is equal to the quotient between the number of orange blocks and the total number of blocks.

We get:

p = 4/17

Now we put the orange block back and we want to take a block that is not orange, the probability is computed in the same way:

q = (6 + 2 + 5)/17 = 13/17

The joint probability (this is, the probability of these two events happening together) is just the product of the individual probabilities.

We get:

P = p*q = (4/17)*(13/17) = 52/289 = 0.1799

If you want to learn more, you can read:

brainly.com/question/1349408

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Answer:

10.77 units

Step-by-step explanation:

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The bowl of a circular birdbath has an inside diameter of 18 inches, as shown in the drawing belon.
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Answer:

254 square inches

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4 0
3 years ago
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution. How many of each should be used ?
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Answer:

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

Step-by-step explanation:

Let us represent:

The number of liters of 25% acid solution = x

The number of liters of 40% acid solution = y

Our system of Equations =

x + y = 240 liters....... Equation 1

x = 240 - y

A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.

25% × x + 40% × y = 240 liters × 30%

0.25x+ 0.4y = 72...... Equation 2

We substitute 240 - y for x in Equation 2

0.25(240 - y)+ 0.4y = 72

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Collect like terms

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