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vladimir1956 [14]
3 years ago
13

Find the probability that when a couple has sixsix ​children, at least one of them is a girlgirl. ​(assume that boys and girls a

re equally​ likely.)
Mathematics
1 answer:
Vaselesa [24]3 years ago
6 0

Answer: \frac{63}{64}

<u>Step-by-step explanation:</u>

"At least one" means:

(1g & 5b) or (2g & 4b) or (3g & 3b) or (4g & 2b) or (5g & 1b) or (6g & 0b)

which is the same as: not(0g & 6b)

<u>not (0g & 6b)</u>

= 1 - [(\frac{1}{2})^{0}*(\frac{1}{2})^{6} ]

= 1 - 1 * \frac{1}{64}

= 1 - \frac{1}{64}

= \frac{63}{64}

You might be interested in
The radioactive element americium-241 has a half-life of 432 years. How many years will it take a 10 gram mass of americium-241
geniusboy [140]
<h2>Answer: 816 years</h2>

This problem can be solved using the <u>Radioactive Half Life Formula: </u>

<u />

A=A_{o}.2^{\frac{-t}{h}}   (1)

Where:

A=2.7g is the final amount of the material

A_{o}=10g is the initial amount of the material

t is the time elapsed  (the quantity we are asked to find)

h=432y is the half life of americium-241

Knowing this, let's find t from (1):

2.7g=(10g).2^{\frac{-t}{432y}}  

\frac{2.7g}{10g}=2^{\frac{-t}{432y}}  

0.27g=2^{\frac{-t}{432y}}  

Applying natural logarithm in both sides:

ln(0.27g)=ln(2^{\frac{-t}{432y}})  

-1.309=-\frac{t}{432y}ln(2)  

-t=\frac{(-1.309)(432y)}{0.693}  

<u></u>

<u>Finally:</u>

t=816y

3 0
3 years ago
in a box of 12 fuses, there are 3 that are defective. if a quality control engineer tests 4 of these fuses at random, what is th
vladimir1956 [14]
3/12, or 1/4, are defective.
he tests 4/12, or 1/3, fuses.
1/4(1/3) = 1/12 ?

i’m sorry if this is wrong. i’m not good at probability!
6 0
3 years ago
27/64A bottled water company has designed a new cup for its dispenser. The cup will be a right circular cone with a three-inch r
tankabanditka [31]

Answer:

9.86 inches

Step-by-step explanation:

Given:

The cup will be a right circular cone with:-

Radius, r = 3 inches

Volume of cone = 93 cubic inches

Height of the cup, h = ?

Solution:

<u>By using :-</u>

<u />Volume\ of\ right\ circular\ cone=\frac{1}{3} \pi r^{2} h

                                            93 =\frac{1}{3} \times\frac{22}{7} \times3\times3\times h\\ \\ 93=\frac{198}{21} h\\ \\ 93=9.43h

By dividing both sides by 9.43

\frac{93}{9.43} =\frac{9.43h}{9.43} \\ \\ 9.86\ inches=h

Thus, the cup need to be 9.86 inches taller to hold 93 cubic inches of water.

6 0
3 years ago
In triangle ABC, angleACB is a right angle
viktelen [127]

Answer:

I think is 11.4

.........

6 0
3 years ago
Which best explains what determines whether a number is irrational?
rusak2 [61]
<span>1.) Is 64 squared rational or irrational?
Ans: Rational
---------------- 
2.) Is -1.2 repeating decimal rational or irrational?
Every repeating decimal is rational.
Every non-repeating decimal is irrational.
All whole numbers are rational.
All fractions are rational.
nth roots of a^k are irrational unless k is a multiply of n.
Example: The cube root of 3^6 is rational but the cube root of 3^5 is not.
Cheers,
Stan H. </span>
6 0
3 years ago
Read 2 more answers
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