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AleksandrR [38]

2 years ago

13

Two fair coins are flipped. Given that at least one coin lands on a head, calculate the probability of one head and one tail. Wr

ite your answer as a fraction in its simplest form.

1 answer:

Greeley [361]2 years ago

8 0

The probability of one head and one tail is 2/3.

<u>Step-by-step explanation</u>:

The possibilities for flipping two fair coins are {T,T}, {H,H}, {H,T}, {T,H}
Given the case that at least one coin lands on a head, So the total possibilities are {H,H}, {H,T}, {T,H} = 3 possibilities

Required event is 1 head and 1 tail= {H,T}, {T,H} = 2 possibilities

To calculate the probability of one head and one tail,

Probability = required events / Total events

Probability = 2/3

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The number of a certain company's video stores can be approximated by the linear equation y= -264x+4682, where x is the number o

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Answer:

Missing co-ordinate for the ordered pair is $(7,2834)$

Y-intercept is $(0,4682)$

X-intercept is $(17.73,0)$

Step-by-step explanation:

The number of a certain company's video stores can be approximated by the linear equation

$y= -264\ x+4682$

where $y$ is the number of stores and $x$ represents the number of years after 1990.

To find the missing co-ordinate for the ordered pair solution $(7,?)$

For the ordered pair, we are given the $x$ value which is =7 i.e 7 years after 1990. Thus we will plugin $x=7$ in the linear equation to get the $y$ value which is number of stores after 7 years from 1990.

$y= -264\ (7)+4682$

$y= -1848+4682$

$y= 2834$

Thus the ordered pair is $(7,2834)$

To find y-intercept which is the point where the line touches the y-axis, we would plugin $x=0$ in the equation as the x-coordinate is 0 at y-axis.

$y= -264\ (0)+4682$

$y= 0+4682$

$y=4682$

Thus y-intercept is at point $(0,4682)$

To find x-intercept which is the point where the line touches the x-axis, we would plugin $y=0$ in the equation as the y-coordinate is 0 at x-axis and thus for $x$

$0= -264\ x+4682$

Subtracting both sides by 4682.

$0-4682= -264\ x+4682-4682$

$-4682= -264\ x$

Dividing both sides by -264

$\frac{-4682}{-264}= \frac{-264\ x}{-264}$

$17.73= x$

∴ $x=17.73$

Thus x-intercept is at point $(17.73,0)$

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What is the circumference of circle P?<br><br> Express your answer in terms of π.

Zolol [24]

Answer:

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Step-by-step explanation:

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Circumference of a circle= $2\pi r$

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