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WARRIOR [948]
3 years ago
11

The volume of the prism is 81 m3.

Mathematics
2 answers:
Citrus2011 [14]3 years ago
6 0

Answer:

27 m^3

Step-by-step explanation:

kvasek [131]3 years ago
4 0

Answer:

27 m

Step-By-Step Explanation:

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PLEASE HELP ME I NEED HELP ASAP!!!!!!
algol [13]

Answer:

C.$35

Step-by-step explanation:

Commission = 7% of 500

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8 0
2 years ago
if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?
Kay [80]

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • There are 9 rolls, hence n = 9.
  • Of the six sides, 2 are 3 or 4, hence p = \frac{2}{6} = 0.3333

The desired probability is:

P(X \geq 2) = 1 - P(X < 2)

In which:

P(X < 2) = P(X = 0) + P(X = 1)

Then

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026

P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check brainly.com/question/24863377

7 0
2 years ago
Marcy needs 150 feet of fabric for her project. She uses 20% of it. How many feet of fabric did she use for her project so far?
Nataliya [291]

Answer:

The answer is 120 feet of fabric

4 0
2 years ago
Read 2 more answers
Which word best describes the degree of overlap between the two data sets?
snow_tiger [21]

Answer:

Moderate

Step-by-step explanation:

I think sorry if its wrong

6 0
3 years ago
How many 1/12pieces are in 3/3?
wel

Answer:

plz ion know what is the awnser to mine

Step-by-step explanation:

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