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3 years ago

5

Which graph shows a proportional relationship between x and y

2 answers:

cestrela7 [59]3 years ago

7 0

The 2nd one! i believe that is correct!

Galina-37 [17]3 years ago

3 0

I'm pretty sure it's the first one. For something to be directly proportional it has to go through the origin (0,0) of the graph. Y/X is the formula for directly proportional relationships if that helps.

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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:

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

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3 years ago

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alexdok [17]

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3 years ago

Find the missing factor B that makes the equality true.-35^6= (-5x^2)(b)

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This is the answer!!!!

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3 years ago

Write 3/2 as a mixed number

xenn [34]

Answer:

1 $\frac{1}{2}$

Step-by-step explanation:

3/2 = 2/2 * 1/2

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So 3/2 = 1 $\frac{1}{2}$

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3 years ago

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The security alarm on a parked car goes off and produces a frequency of 951 hz. the speed of sound is 343 m/s. as you drive towa

AVprozaik [17]

951hz divide by 343m/s = <span>2.77259475
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to 1 d.p is 274.5m/s</span>

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3 years ago