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jek_recluse [69]
3 years ago
9

Hannah’s favorite toy character is sold wearing one of many outfits. An outfit consists of one shirt, one pair of pants, and one

cap. The shirt can be striped, plain, or polka-dotted. The pants may be denim or plaid. The cap may be a cowboy hat or a baseball cap. If Hannah picks a toy at random from the shelf and there are an equal number of toys wearing each outfit, what is the probability that the toy is dressed in a polka-dotted shirt and a cowboy hat?
Mathematics
1 answer:
shusha [124]3 years ago
8 0
There will be 1/2 of a chance that it will be polka-dotted.
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Answer:

T_7 = 11

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Step-by-step explanation:

Given

S_n = n^2 -2n

T_n = S_n - S_{n-1}

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Substitute 7 for n in T_n = S_n - S_{n-1}

T_7 = S_7 - S_{7-1}

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Calculate S7 and S6

S_n = n^2 -2n

S_7 = 7^2 - 2 * 7 = 35

S_6 = 6^2 - 2 * 6 = 24

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T_7 = 35 -24

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Solving (b): Tn

T_n = S_n - S_{n-1}

Where S_n = n^2 -2n

CalculateS_{n-1}

We have:

S_{n-1} =(n-1)^2 - 2(n-1)

Open brackets

S_{n-1} = n^2 -2n + 1 -2n +2

S_{n-1} = n^2 -2n-2n + 1  +2

S_{n-1} = n^2 -4n + 3

So:

T_n = S_n - S_{n-1}

T_n = n^2 - 2n - (n^2 -4n + 3)

T_n = n^2 - 2n - n^2 +4n - 3

Collect Like Terms

T_n = n^2 - n^2- 2n  +4n - 3

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5 0
3 years ago
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Answer:

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Step-by-step explanation:

12x 11=132  or 12x12=144-12=132.

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