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Finger [1]
2 years ago
13

A fair coin is flipped 120 times. Estimate the expected number of ‘heads’.

Mathematics
2 answers:
Bumek [7]2 years ago
7 0

when coin is flipped 5 times probability is 1/2

so coin heads comes out to be 2.5

This is a binomial distribution with a probability of success = 0.5 (fair coin).

n=10

so

mean = E[x] = np =10*0.5 =5

Naily [24]2 years ago
6 0

Answer:

76.47

How I did it(using a specific range)

(n, 54, 66 (120 C)) 2¹²⁰ = 0.76 × 100 ≈ 76.47

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uppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.2 and a standard deviation of 1.49. Us
liubo4ka [24]

Answer:

99.85% of American women have shoe sizes that are less than 12.67

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8.2

Standard deviation = 1.49

Using the empirical rule, what percentage of American women have shoe sizes that are less than 12.67

12.67 = 8.2 + 3*1.49

12.67 is 3 standard deviations above the mean.

Since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above. Of those 50% above, 99.7% are between the mean and 12.67. So

0.5 + 0.997*0.5 = 0.9985

99.85% of American women have shoe sizes that are less than 12.67

6 0
3 years ago
What is the slope of a line through (-2,5) and (4,6)?
guajiro [1.7K]

Answer:

1/6

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - 5 / 4 - (-2)

1 / 6

1/6

7 0
3 years ago
Miley is trying to solve the following riddle the sum of three consecutive integers is 84 what are the integers
oee [108]

Answer:

Three consecutive numbers are 27,28,29

Step-by-step explanation:

Given :  The sum of three consecutive integers is 84.

To find : What are the integers?

Solution : Let three consecutive numbers x, x+1, x+2

So, according to given situation 'sum of three consecutive integers is 84'.

x+x+1+x+2=84

\Rightarrow 3x+3=84

\Rightarrow 3x=84-3=81

\Rightarrow x=\frac{81}{3}

\Rightarrow x=27

So,x=27

x+1= 27+1=28

x+2=27+2=29

Therefore, three consecutive numbers are 27,28,29

4 0
3 years ago
Write the quadratic equation whose roots are 3 and −3, and whose leading coefficient is 2
GREYUIT [131]

Answer:

y = 2(x+3)(x-3)

Step-by-step explanation:

y = a (x-x1) * (x-x2) * (x-x3) * ... (x-xn)

x 1 to n represents the roots

6 0
3 years ago
An airplane can seat up to 175 passengers the airline has already sold 87 tickets
aniked [119]
What is the question that you are asking? How many seats are left? 88. Or is there more to this question that is not showing?
3 0
3 years ago
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