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3 years ago

25 POINTS!! PLEASE HELP!

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

6 0

Answer:

The length of TQ is 14.

Step-by-step explanation:

The length of SV and VS are the same.

4x - 1 = 15

4x = 16

x = 4

Similarly, the length of TS and TQ are the same.

3x + 2 = 3(4) + 12 = 14

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A jar of alphabet tiles contains 10 unique consonant tiles and 5 unique vowel tiles.

vladimir2022 [97]

Answer: Probability that 3 are consonants and 2 are vowels is 0.3996.

Step-by-step explanation:

Since we have given that

Number of unique consonant tiles = 10

Number of unique vowel tiles = 5

Total number of tiles = 10+5=15

we need to pick 5 tiles randomly,

So, Probability that 3 are consonants and 2 are vowels is given by

$\frac{^{10}C_3\times ^5C_2}{^{15}C_5}\\\\=\frac{\frac{10\times 9\times 8}{3\times 2\times 1}\times \frac{5\times 4}{2\times 1}}{\frac{15\times 14\times 13\times 12\times 11}{5\times 4\times 4\times 3\times 2\times 1}}\\\\=0.3996$

Hence, Probability that 3 are consonants and 2 are vowels is 0.3996.

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Hello!

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