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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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Answer:

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Step-by-step explanation:

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We do not have the radius of the sphere, but we have its diameter.

We know that there is a relationship between radius and diameter.

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3 years ago
A couple does not wish to spend more than $60 for dinner at a restaurant. if a sales tax of 7% is added to the bill and they pla
Firlakuza [10]
Hey there!

The first step of this problem would be to add together our two percentages, then convert that percentage into a decimal by dividing by 100. 

15% + 7% = 22%

22 ÷ 100 = 0.22

It can be assumed here that 22% of the cost will be added tax and tip. We can use 0.22 to represent that percentage in our problem. Just multiply that decimal by the maximum amount of money they want to spend, $60, to get the amount that will just be tax and tip. Finally, subtract the tax and tip from $60 to find the most they can spend on the meal itself. 

60 × 0.22 = 13.20

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The total amount they can spend is 46.80. 

Hope this helped you out! :-)
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3 years ago
Kyle wants to compare 0.02 to 1/4 using fractions. Which fraction can you use for 0.02?
Crazy boy [7]

Answer:

\frac{1}{50}

Step-by-step explanation:

\text{Kyle wants to compare 0.02 to }\frac{1}{4} \text{ using fractions}\\\\\text{we need to convert 0.02 into fractional form.}\\\\\text{to convert a decimal into fractional form we divide by }10^n,\\\text{where n is the number of digits after decimal, and remove decimals}\\\text{from the number.}\\

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