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3 years ago

What is the probability of getting tails at least one time, if a fair coin is flipped 3 times

Mathematics

1 answer:

Andrej [43]3 years ago

6 0

Answer:

P(at least one tail) = 7/8

Step-by-step explanation:

If you flip a coin, you have two outcomes- heads or tails. So let's find all the outcomes for flipping three coins.

H = heads. T = Tails

HHH P(what you want) = <u>number of times it happens</u>

HHT Total number of outcomes.

HTH

HTT P(at least one tail) = <u> 7 </u>

THH 8

THT

TTH

TTT

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jonny [76]

The answer should be that They are different.

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4 years ago

alpha and beta are the zeros of the polynomial x^2 -(k +6)x +2(2k -1). Find the value of k if alpha + beta = 1/2 alpha beta(ITS

serious [3.7K]

Answer:

$k=\frac{-11}{2}$ .

Step-by-step explanation:

We are given $\alpha$ and $\beta$ are zeros of the polynomial $x^2-(k+6)x+2(2k-1)$ .

We want to find the value of $k$ if $\alpha+\beta=\frac{1}{2}$ .

Lets use veita's formula.

By that formula we have the following equations:

$\alpha+\beta=\frac{-(-(k+6))}{1}$ (-b/a where the quadratic is ax^2+bx+c)

$\alpha \cdot \beta=\frac{2(2k-1)}{1}$ (c/a)

Let's simplify those equations:

$\alpha+\beta=k+6$

$\alpha \cdot \beta=4k-2$

If $\alpha+\beta=k+6$ and $\alpha+\beta=\frac{1}{2}$ , then $k+6=\frac{1}{2}$ .

Let's solve this for k:

Subtract 6 on both sides:

$k=\frac{1}{2}-6$

Find a common denominator:

$k=\frac{1}{2}-\frac{12}{2}$

Simplify:

$k=\frac{-11}{2}$ .

7 0

3 years ago

Sandy is upgrading her Internet service. Fast Internet charges $40 for installation and $52.45 per month.

Orlov [11]

Answer:

After 8 months of internet use both the connection will cost the same.

Step-by-step explanation:

Fast Internet charges $40 for installation and $52.45 per month.

So, the total cost after using x months of the internet in Fast Internet will be

C = 40 + 52.45x

Quick Internet has free installation but charges $57.45 per month.

So, the total cost after using x months of the internet in Quick Internet will be

C = 57.45x

Now, if those two cost are same then

40 + 52.45x = 57.45x

⇒ 5x = 40

⇒ x = 8

Therefore, after 8 months of internet use both the connection will cost the same. (Answer)

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3 years ago

What is the answer to 4+4-(5-1)

Zanzabum

Your answer would be 4 you go with P.E.M.D.A.S so (5-1)= 4 then 4+4=8-4=4

6 0

4 years ago

Will you help me?

Volgvan

Answer:

The length side of the original square banner was 9 ft

Step-by-step explanation:

Let

x-----> the length side of the original square banner

we know that

The new area of the banner is equal to

$91=(x+4)(x-2)$

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Solve the quadratic equation by graphing

The solution is x=9 ft

see the attached figure

8 0

4 years ago

What is the probability of getting tails at least one time, if a fair coin is flipped 3 times​

What is the probability of getting tails at least one time, if a fair coin is flipped 3 times