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g100num [7]
2 years ago
6

Find the probability of obtaining exactly one tail when flipping nine coins. Express your as fraction terms on a rounded the nea

rest millionth
Mathematics
1 answer:
Sveta_85 [38]2 years ago
6 0

Answer:0.017578

Step-by-step explanation:

Given

Nine coins are flipped

So the probability of getting a tail is \frac{1}{2}

Because on flipping a coin could either yield Head or tail

so getting a tail on nine trails is \frac{1}{2^9}

but this tail can come on first coin or second or third ....

So there are 9 possible ways

So probability of getting a tail on flipping nine coin is 9\times \frac{1}{2^9}

=\frac{9}{2^9}=0.017578

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PLEASE HELP Complete the table with the number of sit-ups you have to do sunday so that the mean number of sit-ups per day is 10
klemol [59]

The complete table will be:

Monday - 100\\ Tuesday-65\\ Wednesday- 120\\ Thursday-150\\ Friday-90\\ Saturday- 0\\ Sunday-175

<u><em>Explanation</em></u>

Suppose, the number of sit-ups in Sunday is x

Mean is the simple average of some numbers. <u>For finding the mean number</u> of sit-ups per day, we need to <u>divide the 'total number of sit-ups' by the 'total number of days'</u>.

Here the total number of days is 7 and the total number of sit-ups for 7 days = 100+65+120+150+90+0+x= 525+x

Given that, the mean number of sit-ups per day is 100. So, the equation will be...

\frac{525+x}{7}=100\\ \\ 525+x=700\\ \\ x= 700-525=175

So, the number of sit-ups you have to do Sunday is 175.

6 0
3 years ago
Normal six-sided dice have a different number of pips on each face, from 1 to 6. You roll two such dice and add the result.
NARA [144]

Answer:

1) 16.7% probability of rolling 10+.

2) 50% probability an odd number is rolled.

3) 7 is the most likely total result.

Step-by-step explanation:

These are all the possible outcomes:

(1,1), (1,2), (1,3), (1,4), (1,5),(1,6)

(2,1), (2,2), (2,3), (2,4), (2,5),(2,6)

(3,1), (3,2), (3,3), (3,4), (3,5),(3,6)

(4,1), (4,2), (4,3), (4,4), (4,5),(4,6)

(5,1), (5,2), (5,3), (5,4), (5,5),(5,6)

(6,1), (6,2), (6,3), (6,4), (6,5),(6,6)

There are 36 possible outcomes

1) what is the probability of rolling 10+?

There are 6 possible outcomes in which 10+ is rolled:

(4,6), (5,5),(5,6), (6,4), (6,5),(6,6).

So there is a 6/36 = 0.167 = 16.7% probability of rolling 10+.

2) what is the probability of rolling an odd number?

There are 18 possible outcomes in which an odd number is rolled.

So there is a 18/36 = 0.5 = 50% probability an odd number is rolled.

3) what is the total that is most likely to result?

There are 6 outcomes in which 7 is rolled.

So 7 is the most likely total result.

6 0
3 years ago
F(x)=11(-4)^2-5(-4)+13<br> =-143<br> (-4, -143)???
lora16 [44]

Answer:

(-4,169)

Step-by-step explanation:

11 (-4)^2 - 5(-4)+13

11(16)- 20 +13

176 -20+13

169

7 0
3 years ago
What is the probability of rolling a 1 on a number cube And then a 4?​
mr Goodwill [35]
For each number,there is a 16 probability of rolling it (so 16 for the 1 and also 16 for the 4)
5 0
2 years ago
Evaluate this expression for b= 3, and a=2. b-a
almond37 [142]
Substitute the values in the expression
b-a=3-2=1
answer b-a=1
5 0
3 years ago
Read 2 more answers
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