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Shkiper50 [21]
3 years ago
13

Write an inequality for the situaions below and solve:

Mathematics
1 answer:
musickatia [10]3 years ago
5 0

Answer

Find out the how many boxes of paper can the forklift move at one time .

To proof

Let us assume that the number of boxes be x.

As given

A forklift can carry up to 2500 pounds.

You want to move boxes of paper which each weigh 140 pounds.

The paper boxes are supported on one pallet which weighs 50 pounds.

Than the equation is become in the form

140x +50  ≥ 2500

140x ≥ 2500 - 50

140x ≥ 2450

x \geq \frac{2450}{140}

x ≥ 17.5

Therefore the 18 boxes of paper can the forklift move at one time .

Hence proved

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3. Assume that the likelihood of a child under the age of ten watching PBS is 0.76. Three children are
natta225 [31]

Using the binomial distribution, the probabilities are given as follows:

a) 0.4159 = 41.59%.

b) 0.5610 = 56.10%.

c) 0.8549 = 85.49%.

<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.

For this problem, the values of the parameters are:

n = 3, p = 0.76.

Item a:

The probability is P(X = 2), hence:

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

P(X = 2) = C_{3,2}.(0.76)^{2}.(0.24)^{1} = 0.4159

Item b:

The probability is P(X < 3), hence:

P(X < 3) = 1 - P(X = 3)

In which:

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

P(X = 3) = C_{3,3}.(0.76)^{3}.(0.24)^{0} = 0.4390

Then:

P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.

Item c:

The probability is:

P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4159 + 0.4390 = 0.8549

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

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What is an inverse statement
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Answer:

1 | noun | a message that is stated or declared; a communication (oral or written) setting forth particulars or facts etc

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3 | noun | (music) the presentation of a musical theme

4 | noun | a nonverbal message

5 | noun | the act of affirming or asserting or stating something

6 | noun | (computer science) a line of code written as part of a computer program

7 | noun | a document showing credits and debits

(7 meanings)

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