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goldfiish [28.3K]
3 years ago
14

Find the surface area of the cylinder. 7 cm 5 cm The surface area of the cylinder is nothing cmsquared.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0

Step-by-step explanation:

surface area of cylinder =

2πr(r+h)

2×<u>2</u><u>2</u>×7(7+5)

7

44(7+5)

44(12)

528

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The amount and the concentration of a salt solution is given. How much salt would you get if you evaporated all water from this
DiKsa [7]

Answer:

40.5 g

Step-by-step explanation:

Find how much salt is in 450 g of a 9% salt solution.

Note that

450 g - 100%,

x g - 9%,

then

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If you evaporated all water from this solution, then you would get 40.5 g of salt.

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3 years ago
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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

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