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tresset_1 [31]
3 years ago
6

A square is inscribed in an isosceles right triangle with the length of the leg equal to 2 in. as shown on the figure. Find the

perimeter of the square.
pls help I need it asap!!!

Mathematics
1 answer:
exis [7]3 years ago
6 0

Answer:

4

Step-by-step explanation:

Since the triangle is isosceles, the side of the square is half the length of the side of the triangle, so is 1. The four sides of the square have a total length of 4.

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An urn contains 5 red balls and 2 green balls. Two balls are drawn one after the other. What is the probability that the second
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Answer:

<em>The probability that the second ball is red is 71%</em>

Step-by-step explanation:

<u>Probabilities</u>

We know there are 5 red balls and 2 green balls. Let's analyze what can happen when two balls are drawn in sequence (no reposition).

The first ball can be red (R) or green (G). The probability that it's red is computed by

\displaystyle P(R)=\frac{5}{7}

The probability is's green is computed by

\displaystyle P(G)=\frac{2}{7}

If we have drawn a red ball, there are only 4 of them out of 6 in the urn, so the probability to draw a second red ball is

\displaystyle P(RR)=\frac{5}{7}\cdot \frac{4}{6}=\frac{10}{21}

If we have drawn a green ball, there are still 5 red balls out of 6 in the urn, so the probability to draw a red ball now is

\displaystyle P(GR)=\frac{2}{7}\cdot \frac{5}{6}=\frac{5}{21}

The total probability of the second ball being red is

\displaystyle P(XR)=\frac{10}{21}+\frac{5}{21}=\frac{5}{7}=0.71

The probability that the second ball is red is 71%

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