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3 years ago

What is the probability that the first marble is blue and the second marble is yellow?

Mathematics

1 answer:

Cloud [144]3 years ago

5 0

Answer:

$\frac{1}{14}$

Step-by-step explanation:

First time drawing:

Total outcome is 8

Favorable outcome is 2

The probability that the first marble drawing in random is blue is

$\frac{2}{8}$ = $\frac{1}{4}$

Second time drawing (with no replacement):

Total outcome is 7 (8 - 1 = 7)

Favorable outcome is 2

The probability that the second marble drawing in random is yellow is

$\frac{2}{7}$

The probability that the first marble is blue and the second marble is yellow is $\frac{1}{4}$ × $\frac{2}{7}$ = $\frac{2}{28}$ = $\frac{1}{14}$

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A triangle is removed from the rectangle. Find the area of the remaining figure.

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Answer

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Step by step explanation

First, let's find the area of the rectangle.

Area of a rectangle = length x width

The area of the rectangle = 20 * 10

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Now let's find the area of the triangle that is removed.

Area of a triangle = 1/2 base * height.

Here base = 10 and height = 8. Plug in these values into the formula, we get

Area of the triangle = 1/2 * 10*8

= 5* 8

The area of the triangle = 40 in^2

The area of the remaining figure = Area of the rectangle - area of the triangle

= 200 - 40

= 160 in^2

The answer is "160 in^2"

Thank you.

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