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laiz [17]
3 years ago
9

One day, eleven babies are born at a hospital. Assuming each baby has an equal chance of being a boy or girl, what is the probab

ility that at most nine of the eleven babies are girls?
A.
23/256

B.
191/256

C.
509/512

D.
397/2048
Mathematics
1 answer:
Andrews [41]3 years ago
4 0
You only need to consider the situations where 10 or 11 of the babies are girls, then subtract those probabilities from 1.  This will give probability that any other number up to 9 of the babies are girls.

Use binomial theorem.
P(x=k) = (nCk) p^k (1-p)^{n-k}

n = 11
k = 10,11
p = 1/2

P(x=10) = 11 (\frac{1}{2})^{11} = \frac{11}{2048} \\  \\ P(x=11) = 1(\frac{1}{2})^{11} = \frac{1}{2048} \\  \\ P(x \leq 9) = 1 - \frac{11}{2048} - \frac{1}{2048} \\  \\ P(x \leq 9)=\frac{2036}{2048} = \frac{509}{512}
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1/3(x-1/3)-1/2(2/3x-1/2)
kenny6666 [7]

For this case we must simplify the following expression:

\frac {1} {3} (x- \frac {1} {3}) - \frac {1} {2} (\frac {2} {3} x- \frac {1} {2})

So, if we apply distributive property to the terms within parentheses we have:

\frac {1} {3} x- \frac {1} {9} - \frac {2} {6} x + \frac {1} {4} =\\\frac {1} {3} x- \frac {1} {9} - \frac {1} {3} x + \frac {1} {4} =

We simplify taking into account that:

  • Equal signs are added and the same sign is placed.
  • Different signs are subtracted and the major sign is placed.

- \frac {1} {9} + \frac {1} {4} =\\- \frac {4} {36} + \frac {9} {36} =\\\frac {-4 + 9} {36} =\\\frac {5} {36}

Answer:

\frac {5} {36}

4 0
3 years ago
Use all four operations and at least one exponent to write an expression that has a value of 100.
OleMash [197]

Answer: 5 to the 2 power x4+100 divide by 2

Step-by-step explanation:

3 0
3 years ago
2.32x10 to the fifth power
laiz [17]
2.32 x 10⁵ = 232000

This can be solved by multiplying 2.32 to the product of 10 multiplied 5 times.

10⁵ = 10 * 10 * 10 * 10 *10
10⁵ = 100,000

2.32 x 100000 = 232000

The given equation is the standard form of a decimal number. It is used to write down a very large or very small number easily.

There are a lot of standard forms. Like: Standard form of an equation and Standard form of a polynomial.


3 0
3 years ago
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Somebody help on 39 and 40 !
BlackZzzverrR [31]
39 is A
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3 0
2 years ago
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Sandra normally takes 2 hours to drive from her house to her grandparents' house driving her usual speed. However, on one partic
Rudiy27

Answer:

Her usual driving speed is 38 miles per hour.

Step-by-step explanation:

We know that:

s = \frac{d}{t}

In which s is the speed, in miles per hour, d is the distance, in miles, and t is the time, in hours.

We have that:

At speed s, she takes two hours to drive. So

s = \frac{d}{2}

d = 2s

However, on one particular trip, after 40% of the drive, she had to reduce her speed by 30 miles per hour, driving at this slower speed for the rest of the trip. This particular trip took her 228 minutes.

228 minutes is 3.8 hours. So

0.4s + 0.6(s - 30) = \frac{d}{3.8}

So

3.8(0.4s + 0.6s - 18) = d

3.8s - 68.4 = 2s

1.8s = 68.4

s = 38

Her usual driving speed is 38 miles per hour.

3 0
3 years ago
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