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12345 [234]
2 years ago
13

Consider an urn with 7 black balls, 3 yellow balls, and 4 orange balls. If 3 balls are chosen randomly with replacement, what is

the probability that the first is yellow, the second is orange, and the third is orange
Mathematics
1 answer:
KATRIN_1 [288]2 years ago
5 0

Answer:

1.79% chance or \frac{6}{343}

Step-by-step explanation:

7+3+4=14

chance of yellow \frac{3}{14}

chance of orange \frac{4}{14}

\frac{3}{14} * \frac{4}{14} *\frac{4}{14}  =  \frac{6}{343}

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Anna [14]
A number n=p_1^{a_1}\cdot p_2^{a_2}\cdot\ldots\cdot p_k^{a_k}, where p_k are distinct prime numbers, has (a_1+1)(a_2+1)\cdot\ldots\cdot(a_k+1) divisors.

We know that n has 7 divisors. 7 is a prime number, so among the numbers a_1+1,a_2+1,\ldots,a_k+1 there is only one that is equal to 7.

So,
a_k+1=7\\
a_k=6

That means n=p^6 where p is a prime number.
n^2=(p^6)^2=p^{12}, therefore the n^2 has 12+1=13 divisors.
4 0
3 years ago
Sumin bought a pen and a book for $x. the pen cost $5. (a) express the cost of the book in terms of x. (b) if x = 11, find the c
anygoal [31]

Answer:

a. x = total - $5

b. x = $6

c. x = $10

Step-by-step explanation:

a. pen + book = total

Let x = book

$5 + x = total

x = total - $5

b. pen + book = total

Total = 411

$5 + x = $11

x = $11 - $5

x = $6

c. pen + book = total

Total = $15

$5 + x = $15

x = $15 - $5

x = $10

4 0
2 years ago
The value of x is a distance of 4 units from 2 what are the possible values of x
Anna007 [38]
X could be 6 or -2
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7 0
3 years ago
Cole bought 10 gallons of gas at the gas station with the lowest price.(the lowest price is $3.57 each gallon.) he paid with $40
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$4.30
Do ten times $3.57 and subtract it from $40
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3 years ago
You pay $10 to play the following game of chance. There is a bag containing 20 balls: five are red, five are green, and the rest
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Answer:

20 dollars

Step-by-step explanation:

5 0
3 years ago
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