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3 years ago

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

Mathematics

1 answer:

aleksklad [387]3 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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tia_tia [17]

Answer:

$8-6i$

Step-by-step explanation:

Multiply out $(3-i)^2$ in order to find out which expression it is equivalent to.

1) Since the whole quantity is squared, write it out as $(3-i)(3-i)$ .

$(3-i)^2\\(3-i)(3-i)$

2) Multiply binomials by using the FOIL method. Multiply the terms that are listed first in each binomial, then the ones that are listed outermost when looking at both binomials, then innermost, and finally the last terms listed in each binomial. Simplify and combine like terms.

$(3-i)(3-i)\\9 - 3i - 3i + i^2$

$9 - 6i + i^2$

3) $i = \sqrt{-1}$ , so $i ^2$ must be $(\sqrt{-1} )(\sqrt{-1})$ . Thus, $i^2$ is equivalent to -1. Knowing this, simplify and combine like terms.

$9 - 6i + ((-\sqrt{1} )(\sqrt{-1} ))$

$9 - 6i -1\\8 - 6i$

Thus, it is equivalent to $8 - 6i$ .

6 0

3 years ago

A rectangle has a legnth of 12 inches less than 6 times its width. If the area of the rectangle is 3744 square inches, find the

elena-14-01-66 [18.8K]

Length = 6x - 12

Width = x

Area of a rectangle:

A = length x width

3744 = (x)(6x - 12)

3744 = 6x^2 - 12x

6x^2 - 12x - 3744 = 0

Use the quadratic equation to solve for x. The two solutions end up being 26 and -24. Since length is a scalar measurement, it can only be positive. Thus, the value of x is equal to 26 inches.

Width = 26 inches

Length = 6(26) - 12 = 144 inches

Hope this helps!! :)

6 0

3 years ago

Andrew rents bowling shoes for $4. He bowls 2 games. Andrew spent a total of $22. How much was the cost of each game, b? Complet

Aneli [31]

Answer:

2b + 4 = 22

b= 9, the cost of each game is $9

Step-by-step explanation:

8 0