A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8

Mathematics

1 answer:

aleksklad [387]2 years ago

4 0

Answer:

9/64

Step-by-step explanation:

The probability that the marble on the first draw is blue is 3/8.

The probability that the marble on the second draw is blue is also 3/8.

So the probability that both are blue is:

3/8 × 3/8 = 9/64 ≈ 14%

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What is the value of 2/3^-4

Reptile [31]

Answer:

$\frac{16}{49}$

Step-by-step explanation:

To solve problems like this, we need to multiply the base , $\frac{2}{3}$ , the amount of times as the exponent, 4.

Essentially, the equation is $\frac{2}{3}$ x $\frac{2}{3}$ x $\frac{2}{3}$ x $\frac{2}{3}$ .

The product would be $\frac{16}{49}$ .

Now we can't forget that the exponent is a negative. But because the exponent is an even number, we don't need to worry about that.

Hope this helped :)

8 0

3 years ago

Here is a diagram and its corresponding equation. Find the solution to the equation.

Katen [24]

4(x + 7) = 38

Since there is no operation sign between the 4 and parenthesis, it makes it an automatic multiplication problem.

You would use distributive property to multiply each which should leave your equation looking like this afterwards:

4x + 28 = 38
(4 times x and 4 times 7)

You would then solve it like a two step equation,

1. +28 - 28 = 0
2. 38 - 28 = 10

4x = 10

10 divided by 4 = 2.5

x = 2.5

We can recheck our work by substituting in the value of x.

4(2.5 + 7) = 38

10 + 28 = 38

When we substituted in the value, it gave us the correct inequality.

Therefore,
x = 2.5

5 0

2 years ago

Read 2 more answers

A candle maker has rectangular block of paraffin that is 4 centimeter high by 8 centimeter long by 6 centimeter wide. He melts i

Veronika [31]

Answer:

The candle will not use all the paraffin from the original block.

Step-by-step explanation:

The cone-shaped candle is 5 cm wide at the base i.e. the diameter of the base is 5 cm i.e. radius is 2.5 cm.

If the height of the cone is 25 cm, then total volume of the cone shaped candle is

$\frac{1}{3}\pi r^{2} h$