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gogolik [260]
3 years ago
15

If the number you are dividing is greater than the number you are dividing by, the answer will be less than one. type true or fa

lse.
Mathematics
2 answers:
Crazy boy [7]3 years ago
7 0
A number you are dividing, for eg, 8

Number dividing by, for eg, 2.

The result will be an answer greater than 1.

8/2 = 4. 4 > 1. The response is false.

Levart [38]3 years ago
4 0
Hmm

lets try some numbers

lets try 4 and 2
4>2
4/2=2, that is greater than 1
the statement is false
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2 years ago
Every time I use a piece of scrap paper, I crumple it up and try to shoot it inside the recycling bin across the room. I'm prett
valentinak56 [21]

Using the binomial distribution, it is found that there is a 0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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.

With 5 shoots, the probability of making at least one is \frac{211}{243}, hence the probability of making none, P(X = 0), is \frac{232}{243}, hence:

(1 - p)^5 = \frac{232}{243}

\sqrt[5]{(1 - p)^5} = \sqrt[5]{\frac{232}{243}}

1 - p = 0.9908

p = 0.0092

Then, with 6 shoots, the parameters are:

n = 6, p = 0.0092.

The probability that at least two of them make it inside the recycling bin 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_{6,0}.(0.0092)^{0}.(0.9908)^{6} = 0.9461

P(X = 1) = C_{6,1}.(0.0092)^{1}.(0.9908)^{5} = 0.0527

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.9461 + 0.0527 = 0.9988

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9988 = 0.0012

0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

7 0
2 years ago
The probability distribution for the random variable x follows. x f(x) 20 0.20 25 0.15 30 0.30 35 0.35 (a) Is this probability d
Damm [24]

Answer:

(a) The probability distribution is valid.

(b) The probability that x = 30 is 0.30.

Step-by-step explanation:

The probability distribution of the random variable <em>X</em> is:

<em>    x</em>:  20   |  25  |  30   |   35

f (<em>x</em>): 0.20 | 0.15 | 0.30 | 0.35

(a)

The properties of a probability distribution are:

  1. 0 ≤ P (X) ≤ 1
  2. ∑ P (X) = 1

All the probability value are more than 0 and less than 1.

Compute the sum of all the probabilities as follows:

\sum P(X)=0.20+0.15+0.30+0.35=1

The sum of all probabilities is 1.

Thus, the probability distribution is valid.

(b)

Consider the probability distribution table.

The probability of <em>X</em> = 30 is,

P (X = 30) = 0.30.

Thus, the probability that x = 30 is 0.30.

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\frac{1}{3}^2\\\frac{1}{3}*\frac{1}{3}\\\frac{1}{9}

1 / 9
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3 years ago
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