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IRISSAK [1]
3 years ago
9

What is the conditional probability that exactly four heads appear when a fair coin is flipped five times

Mathematics
1 answer:
cestrela7 [59]3 years ago
8 0

Answer:

5/32

Step-by-step explanation:

If a coin if flipped five times with four heads, then it has exactly one tail. The number of way to arrange four heads and one tail are as follows:

T H H H H

H T H H H

H H T H H

H H H T H

H H H H T

Essentially, there are five way because there are five "positions" where the tail could be.

Then, you need to find the total amount of possibilities for flipping a coin five times. Every time you flip it, there are two possibilities- heads and tails. Therefore, for five flips, the total amount of possibilities is

2x2x2x2x2 = 32

You know that

probability= # of desired outcome

                   ----------------------------------  

                      # of total outcomes

So the probablity is 5/32.

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Answer:

Factor GCF: 3x(2x⁴ - 5x + 4)

Step-by-step explanation:

Simply take out the greatest variable first and then take out the GCF of the numbers to find out factored GCF.

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2 years ago
Pls, help me with this function table in the screenshot below...
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Answer:

-17

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2 years ago
F(x) = x2 – 2x - 8
maw [93]

Answer:

The y-intercept is the point (0,-8)

see the attached figure

Step-by-step explanation:

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f(x)=x^{2}-2x-8

we know that

The y-intercept is the value of the function f(x) when the value of x is equal to zero

so

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f(x)=0^{2}-2(0)-8\\f(x)=-8

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see the attached figure to better understand the problem

5 0
3 years ago
A shipment of sugar fills 2 1/5 containers. If each container holds
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For which positive integer values of $k$ does $kx^2+20x+k=0$ have rational solutions? Express your answers separated by commas a
Musya8 [376]

Answer:

-10,10

Step-by-step explanation:

The given quadratic equation is

k {x}^{2}  + 20x + k = 0

The discriminant of this equation is given by;

D =  {b}^{2}  - 4ac

where a=k, b=20, c=k

For rational solutions, the discriminant must be zero.

{20}^{2}  - 4 \times k \times k = 0

Simplify to get:

400 - 4  {k}^{2}  = 0

This implies that:

400  = 4  {k}^{2}

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Take square root to get:

k =   \pm\sqrt{100}

k =  \pm10

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3 0
2 years ago
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