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ahrayia [7]
3 years ago
8

Help me with this questyion plzz

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
7 0

Answer:

-1 < x < 1

3 < x < 5

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Which of these is an example of typing at an average rate of 42 words per minute?
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I think that it is typing 16 words in 3/2 of a minute.

Step-by-step explanation:

16 times 3 = 48

Im sorry if you get this wrong, i tried my best.

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If lin runs 21 laps at the same rate, how long does it take her 25.6 minutes How many laps per minute is that? __ laps
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Answer: 0.82 laps per minute

Step-by-step explanation:

Lin is running 21 laps in 25.6 minutes.

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A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?
seraphim [82]

Answer:

P\left(E\right)=\frac{55}{1024}

Step-by-step explanation:

Given that a fair coin is flipped twelve times.

It means the number of possible sequences of heads and tails would be:

2¹² = 4096

We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

nCr=\frac{n!}{r!\left(n-r\right)!}

Plug in n = 12 and r = 9

       =\frac{12!}{9!\left(12-9\right)!}

       =\frac{12!}{9!\cdot \:3!}

       =\frac{12\cdot \:11\cdot \:10}{3!}            ∵ \frac{12!}{9!}=12\cdot \:11\cdot \:10

       =\frac{1320}{6}                   ∵ 3!\:=\:3\times 2\times 1=6

       =220

Thus, the probability will be:

P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}

         =\frac{220}{4096}

         =\frac{55}{1024}

Thus, the probability of the coin landing tails up exactly nine times will be:

P\left(E\right)=\frac{55}{1024}

4 0
3 years ago
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