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alekssr [168]
3 years ago
8

Complete the steps to find the value of x. 2x 1289 22 2

Mathematics
1 answer:
Oksanka [162]3 years ago
6 0

Answer:

Step-by-step explanation:

2x = 128

x = 128/2

x = 64

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A coin is flipped five times. Find the number of possible sets of heads and tails that have at most 3 heads
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Step-by-step explanation:

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Required

Number of outcomes with at most 3 heads

First, we list out the sample space of a toss of coin 5 times

(HHHHH), (HHHHT), (HHHTT), (HHTTT), (HTTTT), (TTTTT), (TTTTH), (TTTHH), (TTHHH), (THHHH), (HTHTH), (THTHT), (HHTHH), (TTHTT), (HTTHT), (THHTH), (THHHT), (HTTTH), (THHTT), (HTTHH), (HHTTH), (TTHHT), (TTHTH), (HHTHT), (HTHTT), (THTHH), (THTTH), (HTHHT), (HTHTT), (THTHH), (HHHTH), (TTTHT)

Next, we list out all outcomes with at most 3 heads

, , (HHHTT), (HHTTT), (HTTTT), (TTTTT), (TTTTH), (TTTHH), (TTHHH), , (HTHTH), (THTHT), , (TTHTT), (HTTHT), (THHTH), (THHHT), (HTTTH), (THHTT), (HTTHH), (HHTTH), (TTHHT), (TTHTH), (HHTHT), (HTHTT), (THTHH), (THTTH), (HTHHT), (HTHTT), (THTHH), (TTTHT)

So, the number of set is:

Sets = 27

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3 years ago
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