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lyudmila [28]
3 years ago
14

In China, where many couples were allowed to have only one child, the probability of a baby being a boy was 0.545. Among six ran

domly selected births in China, what is the probability that at least one of them is a girl? Could this system continue to work indefinitely? (Phasing out of this policy was begun in 2015.)
Mathematics
1 answer:
wariber [46]3 years ago
6 0

Answer: 0.9738

Step-by-step explanation:

This is solved by the probability distribution formula for random variables where probability of determining random variable X is given by

P(X=r) = nCr * p^r * q^n-r

Where n = number of sample = 6

p = probability of success = 0.545

q = 1-p = 0.455

r = possible outcome from number of sample.

If 6 random births are chosen, Probability that at least 1 of them is a girl = 1 -[probability that none of them is a girl] = 1 - [probability that all 6 kids are boys]

Probability that all 6 kids are boys = 6C6 * 0.545^6 * 0.455^0 = 0.0262

Probability that at least one is a girl = 1 - 0.0262 = 0.9738.

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Answer: 5

One half of 10 is 10/2 or 1/2(10)
10/2 = 5
1/2(10) = 5
6 0
3 years ago
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1 question 60 points need help now
kkurt [141]

Answer:

The answer to your question is  x = 0 and x = 1

Step-by-step explanation:

Equation

                       \frac{x}{x - 2} + \frac{x - 1}{x + 1} = -1

1)

                      \frac{x(x + 1) + (x - 2)(x - 1)}{(x - 2)(x + 1)} = - 1

Expand

2)                  x² + x + x² - x - 2x + 2 = -1(x - 2)(x + 1)

Simplify

3)                  2x² -2x + 2 = -1(x² + x - 2x - 2)

4)                  2x² - 2x + 2 = -x² + x + 2

Equal to zero

5)                  2x² - 2x + 2 + x² - x - 2 = 0

6)                  3x² - 3x = 0

Factor

7)                  3x(x - 1) = 0

8)                  3x₁ = 0                   x₂ - 1 = 0

9)                    x₁ = 0/3                x₂ = 1

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4 0
3 years ago
Write the column B the reverse pertuna
sweet-ann [11.9K]

Answer:

it is 2

Step-by-step explanation:

i think it is

8 0
2 years ago
The weekly salaries (in dollars) for
kompoz [17]

Answer:

a) Median stays the same

b) Mean is decreased by $9

Step-by-step explanation:

The median is the number or the average of the two numbers that is in the middle of a sorted distribution of numbers,

Here the median number will be the 5th number counting from left or right from the sorted list of numbers. Therefor is is 891.

When 1027 is changed to 946 it will fall between 938 and 1002. So updated sorted list of numbers will now look like,

679, 715, 799, 844, 891, 917, 938, 946, 1002

Here also median will be the 5th number which will be equal to 891.

Therefore, , median will not change.

Mean is the value we get by taking the total value of the salaries and divide it by the number of employees.

In the initial case,

Mean =\frac{679+715+799+844+891+917+938+1002+1027}{9} =868

When the salary is changed from $1027 to $946,

Mean=\frac{679+715+799+844+891+917+938+1002+946}{9} =859

Therefor we can see that Mean has decreased by $9.


8 0
3 years ago
a stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where s(t) = 4.9t^2 + 29.
Alenkinab [10]

Answer:

t = 9 s

Step-by-step explanation:

A stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where

s(t) = -4.9t^2 + 29.4+132.3

We need to find when the stone will hit the ground. It means when s(t) = 0. So,

-4.9t^2 + 29.4t+132.3=0\\\\t=-3\ and\ t=9

So, the stone will take 9 seconds to hit the ground. Hence, this is the required solution.

5 0
3 years ago
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