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mr_godi [17]
3 years ago
5

A biased coin has a probability of 0.4 of coming up heads. What is the probability that when flipped one hundred times it comes

up heads half of the trials or more. Give answer to at least three decimal points.
Mathematics
1 answer:
inn [45]3 years ago
5 0

Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271

<u>Using the binomial probability relation</u> :

  • P(x = x) = nCx * p^x * q^(n-x)
  • p = probability of success = 0.4
  • q = 1 - p = 0.6
  • n = number of trials = 100

P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)

<u>Using a binomial probability calculator</u> :

P(x ≥ 100) = 0.0271

Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271

Learn more :brainly.com/question/12474772

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If triangle DEF is an isosceles triangle with DE is congruent to EF, find x and the measure of each side
Rudik [331]

Step-by-step explanation:

Given that,

DE = 8x - 13

EF = 5x + 17

DF = x + 21

Also,

DE = EF

which means that,

8x - 13 = 5x + 17

8x - 5x = 17 + 13

3x = 30

x = 30/3

x = 10

Now,

DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm

EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm

DF = x + 21 = 10 + 21 = 31cm

3 0
3 years ago
Could you please explain <br><br> find an equation for i, -i, -4, 1 = x as its solution
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5 0
3 years ago
What is the median of the data set? 32, 41,43,50,70,73,80,88
Jobisdone [24]

Answer:

60

hope this helps

have a good day :)

Step-by-step explanation:

4 0
3 years ago
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Write the equation of a circle for which the endpoints of a diameter are (-2,-2) and (4,-10)
Maurinko [17]

Answer:

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Step-by-step explanation:

Given:

End point of Diameter be

point A( x₁ , y₁) ≡ ( -2 ,-2 )

point B( x₂ , y₂) ≡ ( 4 , -10 )

To Find:

Equation of a circle =?

Solution:

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6 0
3 years ago
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Radda [10]

Answer:

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Step-by-step explanation:

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