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2 years ago

Evaluate 23x-1 for x = 1. 1 4 7 8

Mathematics

2 answers:

lianna [129]2 years ago

5 0

replace the value of x int eh equation

so 23x-1 becomes

23(1.1478)-1

23*1.1478 = 26.3994-1 = 25.3994

Jobisdone [24]2 years ago

3 0

THE ANSWER IS 8 :)

Step 1: Simplify. Turn 2^3x-1 into 2^3(1)

Step 2: Multiply exponents. 3 times 1 is 3 so it simply becomes 2^3

Step 3: Solve. Multiply 2 by itself three times. By doing this, you get 8!

2x2x2=8

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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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Answer:

$Sets = 27$

Step-by-step explanation:

Given

$Coin = 1$

$Toss = 5$

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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