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AleksandrR [38]
3 years ago
13

Two fair coins are flipped. Given that at least one coin lands on a head, calculate the probability of one head and one tail. Wr

ite your answer as a fraction in its simplest form.
Mathematics
1 answer:
Greeley [361]3 years ago
8 0

The probability of one head and one tail is 2/3.

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

  • The possibilities for flipping two fair coins are {T,T}, {H,H}, {H,T}, {T,H}
  • Given the case that at least one coin lands on a head, So the total possibilities are {H,H}, {H,T}, {T,H} = 3 possibilities
  • Required event is 1 head and 1 tail= {H,T}, {T,H} = 2 possibilities

To calculate the probability of one head and one tail,

Probability = required events / Total events

Probability = 2/3

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the units digit of a two-digit number is twice the tens digit. If the digits are reversed, the new number is 9 less than the ori
Anton [14]

Answer:

36

Step-by-step explanation:

Here is the correct and complete question: The units digit of a two-digit number is twice the tens digit. If the digits are reversed, the new number is 9 less than twice the original number. What is the original number?

Lets assume the original number be"10y+x". (x is unit digit and y is 10th digit)

∴ if number is reversed then resulting number be "10x+y".

As given: x= 2y

        and 10x+y= 2(10y+x)-9

Now, solving the equation to get original number.

10x+y= 2(10y+x)-9

Distributing 2 to 10y and x, then opening the parenthesis.

⇒ 10x+y= 20y+2x-9

subtracting by (2x+y) on both side.

⇒ 8x= 19y-9

subtituting the value of "x", which is equal to 2y.

∴ 8\times 2y= 19y-9

⇒ 16y=19y-9

subtracting both side by (16y-9)

⇒ 3y= 9

cross multiplying

We get, y= 3

y=3

∵x= 2y

x=2\times 3= 6

∴ x= 6

Therefore, the original number will be 36 as x is the unit number and y as tenth number.

6 0
3 years ago
PLSSS I NEED THE ANSWER
BabaBlast [244]

Answer:

1. 6.4 meters of streamers left to make pompoms

2. He will be able to make 8 pompoms

Step-by-step explanation:

1.

4 x 1.6 = 5.6 meters were used to make decorations.

Then we do 12 - 5.6 = 6.4

2.

per one pompom it takes 0.8 meters of streamers.

6.4 is the left over so we do

6.4 divided by 0.8 = 8 pompoms you can make

6 0
2 years ago
The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at
satela [25.4K]
The total cost is the dependant variable and the number of tickets along with flat out price is the independent variable.

The equation would be y = 1.25x + ?

You would insert 25 for x which equals 31.25 and insert 43.75 for y.

43.75 = 31.25 + ? Then subtract 31.25 from both sides of the equation and you would get....

12.5 = ?

That is your flat rate to get in to the fair 




7 0
3 years ago
Two angles of a quadrilateral are 40 degree and 60 degree and the ratio of remaining two angles is 7:6. The degree measure of re
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Answer:

140,120

Step-by-step explanation:

sum of angles in a quadrilateral =360

sum of the 1st two angles=60+40=100

360-100=260

the ratio of the remaining angles 7:6

therefore:

\frac{7}{13}  \times 260

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260-140=120

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