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asambeis [7]
3 years ago
9

Given that we have already tossed a balanced coin ten times and obtained zero heads, what is the probability that we must toss i

t at least two more times to obtain the first head
Mathematics
1 answer:
defon3 years ago
7 0
A balanced coin will have 50:50 chance of showing either head or tail. In this question, you are asked the probability to find the first head after two tosses. That means the toss result should be:
1. tail   = 1/2 probability
2. head = 1/2 probability

Previously you are tossing the coin 10 times and obtain zero head. But this previous 10 tosses result should not influence your probability in the 11th and 12th toss. The chance will always be 50:50 no matter how much the tosses count. So the probability should be: 1/2 * 1/2= 1/4
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Could someone help and explain their answer? (NO LINKS!)<br> Thanks!
Nonamiya [84]

Answer:

5

Step-by-step explanation:

To find the prime factorization of a number, start by dividing the number by each prime number that you can divide by as many times as possible, starting with the smallest prime number and moving up. Then move on to the next prime number. The last division must give a quotient of 1. Then the prime factorization is the product of all the prime factors you divided the number by.

Here's how you use this method with 180.

Here are the first 10 prime numbers:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Start by trying to divide by 2. 180 is divisible by 2.

180/2 = 90       90 is divisible by 2.

90/2 = 45         45 is not divisible by 2, so now try 3.

45/3 = 15          15 is divisible by 3.

15/3 = 5            5 is prime, so it is divisible by 5.

5/5 = 1              The divisors in bold are the prime factors of 180.

180 = 2 × 2 × 3 × 3 × 5

180 = 2² × 3² × 5

Answer: 5

3 0
2 years ago
Read 2 more answers
Soil sells for 8 1/4 cents per pound. How much would you save if you bought a 100- pound sack for $7.45?
asambeis [7]

Answer:

$0.80

Step-by-step explanation:

If the 100 pounds was bought separately (of course in real life you will probably not)

= 100 pounds x $0.0825/pound

= $8.25

As you can see it will cost more than if you buy a 100 pound sack.

Cost Difference = $8.25 - $7.45 = $0.80

That means you will save $0.80 from it.

4 0
2 years ago
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Anna007 [38]

Answer:

The answer is B ...........

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2 years ago
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siniylev [52]

Answer:

x = −6

Step-by-step explanation:

I like to start off by simplifying the equation! Then, I use inverse operations to narrow it down until I reach the answer!

5x + 12= −18

5x + 12 <u>− 12</u>= −18 <u>− 12 </u>

5x = −30

5x<u>/5</u> = -30<u>/5</u>

<u>x = -6</u>

4 0
3 years ago
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The formula for circumference of a circle is C=2pi r, where r is the radius
Colt1911 [192]
Why yes, yes it is just that.



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