Use the graph above ​

Answer:

By the Chebyshev's Theorem, the minimum percentage of recent graduates who have salaries $22,800 and $30,000 is 89%.

Step-by-step explanation:

Chebyshev's theorem states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 26,400

Standard deviation = 1200

Between $22,800 and $30,000

22800 = 26400 - 3*1200

So 22800 is 3 standard deviations below the mean

30000 = 26400 + 3*1200

So 30000 is 3 standard deviations above the mean.

By the Chebyshev's Theorem, the minimum percentage of recent graduates who have salaries $22,800 and $30,000 is 89%.

Final answer:

Using Chebyshev's theorem, we conclude that at least 88.9% of recent graduates have salaries between $22,800 and $30,000, given a mean salary of $26,400 and a standard deviation of $1200.

Explanation:

The question is asking for the minimum percentage of recent graduates who have salaries within a specific range using Chebyshev's Theorem. By definition, Chebyshev's theorem states that at least 1 - 1/k^2 of data from a sample will fall within k standard deviations from the mean, where k is any number greater than 1. The range in this question can be represented as being within 3 standard deviations from the mean (because ($30,000 - $26,400)/$1200 = 3 and ($26,400 - $22,800)/$1200 = 3). Thus, the minimum percentage of recent graduates having salaries within this range is at least 1 - (1/3^2) = 1 - 1/9 = 8/9 = 88.9%. So, at least 88.9% of the recent graduates fall within this salary range according to Chebyshev's theorem.

Learn more about Chebyshev's Theorem here:

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Answer:

• 19.8

Step-by-step explanation:

Estimate 3√43

• There is a formula for estimating square root of non-perfect square numbers
• √A²±B = A ± B/2A
• where A² is the nearest perfect square, B is the difference between the original number and the perfect square

Using same formula, we'll estimate √43

• 43 = 36 + 7= 6² + 7
• √43 = √(6² + 7) = 6 + 7/2*6 = 6.583 ≈ 6.6 rounded to nearest tenth

Answer to the original question:

• 3√43 = 3*6.6 = 19.8

Rounding 3.83991676655 to nearest hundred =  3.83991677

Rounding 3.83991676655 to nearest -thousandth will result to 3.8399168  

Given, number to be rounded off 3.83991676655 .

Concept of rounding off:

When the digit after decimal is greater than 5 than it will be rounded up.

When the digit after decimal is less than 5 than it will be rounded down.

Number : 3.83991676655

Rounding number to nearest tenth = 3.8

Rounding number to nearest hundred = 3.83991677

Rounding number to nearest thousandth = 3.8399168

Know more about rounding off,

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Answer:

3.83992

Step-by-step explanation:

3.8399_676655

676655=1000000

3.83991+1000000=3.83992

Answer: 20 hours

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Explanation:

We have two workers, more or less. Worker A gets the job done in 5 hours. Worker B comes along to help. If A and B work together, they get the job done in 4 hours. This assumes neither worker hinders the other.

Worker A's rate is 1/5 of a job per hour. In other words, after 1 hour, 1/5 of the job is done.

The combined rate is 1/4 for similar reasoning

Worker B's rate is 1/x where x represents how long it takes worker B to get the job done on its own.

The equation to solve is

1/5 + 1/x = 1/4

Note how 1/5 and 1/x represents the sum of the individual rates to get the combined rate 1/4

To solve this equation, it helps to clear out the fractions. Multiply every term by the LCD 20x

20x(1/5 + 1/x) = 20x(1/4)

20x(1/5) + 20x(1/x) = 20x(1/4)

4x + 20 = 5x

From here you can probably see solving this is relatively easy

4x+20 = 5x

20 = 5x-4x

20 = x

x = 20

Therefore, it will take 20 hours for worker B to get the job done on its own.

Going back to the processing context, it takes 20 hours for the new processor to download the movie. This is where the new processor is working alone without help from the original processor.

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Side note: downloading a movie really depends on internet speed rather than processor speed.

Answer:

simple, divide the number by two, round as needed. 6=3x as normal, 5=2.5x as nromal, etc.

Step-by-step explanation: