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padilas [110]
2 years ago
8

You are given an unfair coin (i.e. a coin where the probability of it landing on either side is NOT 1/21/2) and told that the pr

obability of getting at least one tails in three tosses of said coin is 26/2726/27. The probability of getting heads in one toss of the unfair coin can be expressed in the form M/NM/N, where MM and NN are relatively prime positive integers (i.e. their greatest common divisor is 1). Compute M + NM+N
Mathematics
1 answer:
andrey2020 [161]2 years ago
6 0

Here we have a problem of probability, we will find that the probability of landing in heads is M/N = 1/3, then we have:

M + N = 1 + 3 = 4.

Let's see how we got that:

Let's define:

p = probability of landing on tails

q = probability of landing on heads.

The probability of getting at least one tails in 3 tosses is 26/27

This means that the probability of not getting tails in the 3 tosses is:

P = 1 - 26/27 = 1/27

And the case where you do not get any tails in the 3 tosses, means that in all the 3 tosses you got heads.

The probability of getting 3 heads in a row is:

P = q^3 = 1/27

Solving for q, we get:

q = ∛(1/27) = 1/3

Now we want to express q = M/N = 1/3

then we have:

M = 1

N = 3

Now we want to compute M + N = 1 + 3 = 4

If you want to learn more about probability, you can read:

brainly.com/question/24369877

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tamaranim1 [39]

Answer:

$1.44

Step-by-step explanation:

Tax is a compulsory sum levied by the government. it increases the price of the good

tax paid = tax rate x price of the book

18 x 8%

18 x 0.08 = $1.44

5 0
3 years ago
A circle with radius \pink{6}6start color #ff00af, 6, end color #ff00af has a sector with a central angle of \purple{48^\circ}48
alexandr1967 [171]

Answer:

Therefore,

The area of the sector is 15.09 unit².

Step-by-step explanation:

Given:

Circle with,

radius = r = 6 unit

central angle = θ = 48°

pi = 3.143

To Find:

Area of sector = ?

Solution:

If  'θ' is in degree the area of sector is given as

\textrm{Area of Sector}=\dfrac{\theta}{360}\times \pi r^{2}

Substituting the values we get

\textrm{Area of Sector}=\dfrac{48}{360}\times 3.143\times 6^{2}

\textrm{Area of Sector}=15.0864=15.09\ unit^{2} rounded to nearest hundredth

Therefore,

The area of the sector is 15.09 unit².

7 0
3 years ago
Read 2 more answers
A pizza dlivery car can travel 11 km for every gallon of gasoline it uses. If the driver's average speed is 28 km/h, how many ho
Svetlanka [38]

Answer:

13.75 hours

Step-by-step explanation:

First, find how many km the driver can travel:

11(35)

= 385

Then, divide this by 28 to find how many hours the driver can travel:

385/28

= 13.75

So, the driver can travel 13.75 hours

8 0
2 years ago
I really need help with this question
allochka39001 [22]

Answer:

Heads

Step-by-step explanation:

4 0
3 years ago
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What is the area of the hexagon?
Gnoma [55]

Answer:

Around 60.32 squared

Step-by-step explanation:

Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.

6 0
3 years ago
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