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3 years ago

. Find the probability that the coin turns up heads for the first time on the tenth, eleventh, or twelfth toss.

Mathematics

1 answer:

Degger [83]3 years ago

3 0

Answer:

0.001709

Step-by-step explanation:

The probability of getting 9 tails then 1 head is:

(½)⁹ (½)¹ = (½)¹⁰

The probability of getting 10 tails then 1 head is:

(½)¹⁰ (½)¹ = (½)¹¹

The probability of getting 11 tails then 1 head is:

(½)¹¹ (½)¹ = (½)¹²

The total probability is:

(½)¹⁰ + (½)¹¹ + (½)¹²

0.001709

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Yasmin uses 4 cups of papaya juice for every 6 cups of pineapple juice. If Yasmi already has 24 cups of pineapple juice, how man

lilavasa [31]

Answer:

Step-by-step explanation:

The ratio is 4:6 4 papaya to 6 pineapple

This turns out to be for every 1 cup of papaya juice you have 1.5 cups of pineapple juice.

If you have 24 cups of pineapple juice divide 24 by 1.5 to get 16 cups of papaya juice. 16:24.

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3 years ago

Write the sum of the numbers as the product of their GCF and another sum.

8090 [49]

Answer:

See explanation

Step-by-step explanation:

1. Find the GCF of 40 and 44:

$40=\underline{2\cdot 2}\cdot 2\cdot 5\\ \\44=\underline{2\cdot 2}\cdot 2\cdot 11\\ \\GCF(40,44)=2\cdot 2=4$

So,

$40+44=4\cdot 10+4\cdot 11=4\cdot (10+11)$

2. Find the GCF of 13 and 52:

$13=\underline{13}\\ \\52=2\cdot 2\cdot \underline{13}\\ \\GCF(13,52)=13$

So,

$13+52=13\cdot 1+13\cdot 4=13\cdot (1+4)$

3. Find the GCF of 15 and 81:

$15=\underline{3}\cdot 5\\ \\81=\underline{3}\cdot 3\cdot 3\cdot 3\\ \\GCF(15,81)=3$

So,

$15+81=3\cdot 5+3\cdot 27=3\cdot (5+27)$

4. Find the GCF of 64 and 28:

$64=\underline{2\cdot 2}\cdot 2\cdot 2\cdot 2\cdot 2\\ \\28=\underline{2\cdot 2}\cdot 7\\ \\GCF(64,28)=2\cdot 2=4$

So,

$64+28=4\cdot 16+4\cdot 7=4\cdot (16+7)$

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3 years ago

Pablo borrowed $900 from a credit union for 3years and was charged simple interest at a rate of 3%. What is the amount of intere

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Answer:81

Step-by-step explanation:

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3 years ago

Read 2 more answers

Solve 1/p+1/s=1 for p

jekas [21]

Answer:

Step-by-step explanation:

Multiply through by the L. C. M which is PS.

1/p*ps+1/s*ps=1*ps

P+p=ps

2p=ps

Divide both sides by 2

2p/2=ps/2

P=ps/2

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3 years ago

Write down the value of the 7 in the number 5709.

Dovator [93]

Answer:

700

Step-by-step explanation:

The 9 = 9

The 0 = 0

The 7 = 700

The 5 = 5000

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3 years ago