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sleet_krkn [62]
2 years ago
5

Fazio chooses a jersey at random and then replaces it. He then selects a second jersey at random. What is the probability that f

azio selects a striped jersey both times. 2 are striped,5 are colored and 3 are white
Mathematics
1 answer:
Natalka [10]2 years ago
5 0

Answer:

4% probability that fazio selects a striped jersey both times.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem:

For each jersey, there are 2+5+3 = 10 possible options, two of which are striped.

So twice 2/10

p = (\frac{2}{10})^{2} = \frac{4}{100}

4% probability that fazio selects a striped jersey both times.

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AnnZ [28]
Using the fact that the triangles shown are similar, we can set up a proportion between the lengths of the sides. 

The side length in question is QR, or "x". To find its corresponding side in the larger triangle let's look at the similarity.

MNO is similar to PQR
Vertices are always written in order of correspondence when stating similarities. Since QR are the last two letters of the triangle's name, and NO are the last two letters of the larger triangle's name, we know that QR and NO are corresponding sides. We can apply this same method to any other side.

NO/QR = MN/PQ
(MN and PQ are also corresponding sides)
Now we can substitute the side names with their values.
4.5/x = 5/2
Cross multiply
5x = 9
Divide both sides by 5
x = 9/5 or 1.8 or 1 4/5

Hope this helps!

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Answer:

\boxed{\sf \ \ \ x^2 + x -72 = 0 \ \ \ }

Step-by-step explanation:

Hello,

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So here we can write

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