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jok3333 [9.3K]
3 years ago
9

Greg has a bag of beads that contains 16 black, 20 red, and 4 white beads. He randomly picks a head places it back into the bag

and then randomly picks another one. What is the probability that he picks a black and white bead?
Mathematics
1 answer:
jasenka [17]3 years ago
8 0

Answer:

4%

Step-by-step explanation:

There are 40 beads in total(16+20+4=40). There are 16 black so the probability of getting a black is 16/40=2/5. Since you put the bead back the bag will still have 40 beads when you pick another one. There are 4 white beads so probability of getting a white is 4/40=1/10. Then we multiply these two probabilities 2/5 * 1/10=1/25=4%.


Note: Order does not matter.

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The object will hit the ground after 5 seconds. You can rewrite the quadratic function as a quadratic equation set equal to zero
mario62 [17]

Answer:

289

Step-by-step explanation:

8 0
3 years ago
pritz makes 7 2/3 pints of pineapple juice she drank 5/6 pints of juice and poured. 3/4 of the remaining juice equally into 3 bo
kirza4 [7]

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45

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7 0
3 years ago
A survey showed that 77% of us need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. 13 adults are randomly
earnstyle [38]

Using the binomial distribution, it is found that the probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

For each person, there are only two possible outcomes, either they need correction for their eyesight, or they do not. The probability of a person needing correction is independent of any other person, hence, the binomial distribution is used to solve this question.

<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.

In this problem:

  • A survey showed that 77% of us need correction, hence p = 0.77.
  • 13 adults are randomly selected, hence n = 13.

The probability that at least 12 of them need correction for their eyesight is given by:

P(X \geq 12) = P(X = 12) + P(X = 13)

In which:

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

P(X = 12) = C_{13,12}.(0.77)^{12}.(0.23)^{1} = 0.1299

P(X = 13) = C_{13,13}.(0.77)^{13}.(0.23)^{0} = 0.0334

Then:

P(X \geq 12) = P(X = 12) + P(X = 13) = 0.1299 + 0.0334 = 0.163

The probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

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

7 0
2 years ago
A:4x+4=108<br>B:4x+4=90<br>C:108+4×+4=180<br>D:180=90+4×+4<br>E:×+108=108​
Citrus2011 [14]

Answer:

C:108+4x+4=180

Step-by-step explanation:

The angles are supplementary so they sum up to 180

3 0
3 years ago
Max <br> p=3x+2y <br> subject to <br> 5x+y&lt;16 <br> 2x+3y&lt;22 <br> x&gt;0 <br> y&gt;0
garri49 [273]

Answer:For all the corner points, the maximum is at point (1, 3)

From the graph of the constraints, the corner points of the feasibility region are (0, 0), (0, 10/3), (1, 3), (2, 0)

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For (1, 3): p = 1 + 2(3) = 1 + 6 = 7

For (2, 0): p = 2 + 2(0) = 2

Therefore, solution = (1, 3)

3 0
3 years ago
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