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natita [175]
3 years ago
12

What is the probability that 6 rolls of a fair die will show four exactly 5 times?

Mathematics
1 answer:
storchak [24]3 years ago
6 0

Answer:

very less

Step-by-step explanation:

When rolling a fair 6 sided die 5 times there are 6^5 possible combinations.

Of those, there are 5 ways to roll exactly four sixes, and each of those ways have 5 possible results on the die which has not rolled a six, plus there is 1 way to roll five sixes. 5*5+1=26 combinations with at least four sixes.

Now, take the number of results which fit your conditions, divide by the number of possible results and you get your answer: 26/7776 which can be reduced to 13/3338, a bit less than 0.4%

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Find the balance in the account after the given period.
Likurg_2 [28]

Answer:

2240

Step-by-step explanation:

I think you find 3% of 2000 which is 60

Then you multiply that by 4 which is 240

Add it to the 2000

and get 2240

6 0
3 years ago
The weight of people in a small town in Missouri is known to be normally distributed with a mean of 186 pounds and a standard de
OleMash [197]

Answer:

the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166

Step-by-step explanation:

The summary of the given statistical data set are:

Sample Mean = 186

Standard deviation = 29

Maximum capacity 3,417 pounds or 17 persons.

sample size = 17

population mean =3417

The objective is to determine the probability  that a random sample of 17 persons will exceed the weight limit of 3,417 pounds

In order to do that;

Let assume X to be the random variable that follows the normal distribution;

where;

Mean \mu = 186 × 17 = 3162

Standard deviation = 29* \sqrt{17}

Standard deviation = 119.57

P(X>3417) = P(\dfrac{X - \mu}{\sigma}>\dfrac{X - \mu}{\sigma})

P(X>3417) = P(\dfrac{3417 - \mu}{\sigma}>\dfrac{3417 - 3162}{119.57})

P(X>3417) = P(Z>\dfrac{255}{119.57})

P(X>3417) = P(Z>2.133)

P(X>3417) =1- 0.9834

P(X>3417) =0.0166

Therefore; the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166

5 0
3 years ago
Drag each label to the correct location on the image.
AlekseyPX
13 + (15) = 28


Because you always add the numbers in the parenthesis so 12 + 3 = 15 and 13 + 15 = 28
5 0
3 years ago
Layla invests money in an account paying a simple interest of 6.4% per year. If she invests $120 and no money will be added or r
seropon [69]

Answer:

$127.68

Step-by-step explanation:

Rate= 6.4%

Principal= $120

Time = 1 year

Required

The final amount A

Step two

A=P(1+rt)

substitute

A=120(1+0.064*1)

A=120(1.064)

A=120*1.064

A=$127.68

Hence the final amount is $127.68

6 0
3 years ago
Jamal ate 1/4 of his bag of popcorn. His 3 friends had equal shares of the popcorn that was left. Which expression represents th
Stolb23 [73]
The answer is D. he ate 1/4, so there is 3/4 left. and there r 3 friends, so the answer is 3/4 divided by 3
7 0
3 years ago
Read 2 more answers
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