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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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3/5 t =6<br><br> Pls help I’ll brainlest
Otrada [13]
Simplify both sides then isolate the variable
t=10
4 0
2 years ago
At the beginning of the week, a puppy weighed 5/14 pounds. During the week, the puppy gains 8 ounces.
Mekhanik [1.2K]

Answer:

51/12

as a mixed number

4 1/4

Step-by-step explanation:

first you add 8 to 4 which is 12

so the improper fraction would be 51/12

how to turn it in to a mixed number in simplest form

step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 51 by 12 and keep only what is to the left of the decimal point:

51 / 12 = 4.2500 = 4

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

51 - (12 x 4) = 3

Step 3 - Put Together

Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

4  

   3  

   12  

Step 4 - Minimize

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 51/12 as a Mixed Number is:

4  

   1  

   4  

5 0
2 years ago
The price of an item has risen to $217 today. Yesterday it was $140. Find the percentage increase.
tiny-mole [99]

Answer: $77

Step-by-step explanation: 77 is the correct answer because the price increased by 77 because 77 is the difference between the two, and how i got 77 was to subtract 140 ( the earlier price) from 217 ( the price that it changed to), i hope you found this helpful...

5 0
2 years ago
Pls help me with i have no help pt 2
ioda

Answer:

2

Step-by-step explanation:

2

4 0
2 years ago
Read 2 more answers
A steamer going downstream traveled the distance between two ports in 3 hours. The return trip took 3 hours 40 minutes. Find the
lapo4ka [179]

Answer:

1.8 mph

Step-by-step explanation:

Speed of the steamer in still water is 18 mph.

Speed of the current = x mph.

1. The steamer going downstream traveled the distance between two ports in 3 hours. Traveling downstream the current "helps" the steamer, then the speed is 18 + x mph.

The distance traveled downstream = 3(18 + x) miles.

2. The steamer going upstream traveled the distance between two ports in 3 hours 40 minutes that is 3\frac{2}{3} hours. Traveling upstream the current "interferes" the steamer, then the speed is 18 - x mph.

The distance traveled upstream 3\dfrac{2}{3}(18-x) miles.

3. The distances are the same, so

3(18+x)=3\dfrac{2}{3}(18-x)

Solve this equation:

3(18+x)=\dfrac{11}{3}(18-x)\\ \\9(18+x)=11(18-x)\\ \\162+9x=198-11x\\ \\9x+11x=198-162\\ \\20x=36\\ \\x=1.8\ mph

6 0
3 years ago
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