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andreyandreev [35.5K]
3 years ago
6

How should I solve for x and what is x?

Mathematics
1 answer:
algol [13]3 years ago
8 0

Answer:

x =12

Step-by-step explanation:

We can use the Pythagorean theorem to solve for x

a^2 + b^2 = c^2

16^2 + x^2 = 20^2

256 +x^2 = 400

Subtract 256 from each side

256-256 +x^2 = 400-256

x^2 =144

Take the square root of each side

sqrt(x^2) =sqrt(144)

x = 12

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Based on a​ poll, 60​% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot. What is
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Answer:

The probability that at least one of them is careful about personal information is 0.9744.

If the survey subjects volunteered to​ respond, then this a voluntary sampling and the estimated probability p may be biased, as only the people interested in the topic participate.

Given the subject of the survey, it is estimated that the ones who answered the survey are more careful about personal information and then the propability p is biased to a higher level than it should be if the sample was random.

Step-by-step explanation:

We can model this with a random variable, with sample size n=4 and probability of success p=0.6.

The probability that k individuals are more careful about personal information when using a public​ Wi-Fi hotspot in the sample is:

P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{4}{k}\cdot0.6^k\cdot0.4^{4-k}

We have to calculate the probability that 1 or more are more careful about personal information when using a public​ Wi-Fi hotspot. This can be calculated as:

P(x\geq1)=1-P(x=0)\\\\\\P(x=0)=\dbinom{4}{0}\cdot0.6^{0}\cdot0.4^{4}=1\cdot1\cdot0.0256=0.0256\\\\\\P(x\geq1)=1-0.0256=0.9744

The probability that 1 or more individuals in the sample are more careful about personal information when using a public​ Wi-Fi hotspot is 0.9744.

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3 years ago
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Shape A has a perimeter of 36 feet and on of the side lengths is 12
Maru [420]

The perimeter of a shape is the sum of its side lengths

The corresponding side length for shape B is 20 feet

<h3>How to determine the length</h3>

The length-perimeter ratio is given as:

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Express as fraction

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Multiply both sides by 60

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Length =20

Hence, the corresponding side length for shape B is 20 feet

Read more about perimeter at:

brainly.com/question/17297081

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Step-by-step explanation:

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