Americans spend an average of 3 hours per day online. If the standard deviation is 32 minutes, find the range in which at least 88.89% of the data will lie. Use Chebyshev's theorem. Hint: You should memorize that when k is 2, it is 75% and when k is 3 it is 88.89%. Also convert hours to minutes and state your answer in minutes.

Answers

Answer 1

Answer:

84 minutes to 276 minutes

Step-by-step explanation:

Chebyshev's theorem states that:

At least 3/4(75% ) of data falls within 2 standard deviation from the mean - that means between μ - 2σ and μ + 2σ

At least 8/9(88.89)% of data falls within 3 standard deviations from the mean - between μ – 3σ and μ + 3σ .

Where k > 1 , 1 - 1/k²

k is 2, it is 75% and when k is 3 it is 88.89%

Americans spend an average of 3 hours per day online. If the standard deviation is 32 minutes, find the range in which at least 88.89% of the data will lies

Step 1

Convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x

Cross Multiply

= 3hours × 60 minutes/1 hour

= 180 minutes

We know from Chebyshev's theorem that:

At least 8/9(88.89)% of data falls within 3 standard deviations from the mean - between μ – 3σ and μ + 3σ .

Hence

μ = 180 minutes, σ =32 minutes

μ – 3σ

= 180 - 3(32)

= 180 - 96

= 84 minutes

μ + 3σ

= 180 + 3(32)

= 180 + 96

= 276 minutes

Therefore the range in which at least 88.89% of the data will lie is 84 minutes to 276 minutes


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USE ESTIMATION Mr. Lycan is considering buying clay from two art supply companies. Company A sells 50-pound containers of clay for $24, plus $42 to ship the total order. Company B sells the same clay for $28, plus $25 to ship the total order. a. Write equations for the total cost of ordering clay from each company. b. Graph the equations on the same coordinate plane. Examine the graph to estimate how much Mr. Lycan would have to order for the cost of ordering clay from each company to be the same. c. Check your estimate by substituting into each original equation. How reasonable is your estimation? Justify your reasoning.​

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Answer:

y=$24x+$42 A

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Step-by-step explanation:

The required system of the equation is y = 42 + 24x and y = 25 + 28x, and a graph of the solution has shown.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
let x be the number of the 50 pounds containers of clay ordered.
According to the question,
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For company B,
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Thus, the required system of the equation is y = 42 + 24x and y = 25 + 28x, and a graph of the solution has shown.

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At a sale, dresses were sold for $21 each. If the dresses originally cost $60 each, what percentage of its original price was a dress sold for?

Answers

Answer:

35%

Step-by-step explanation:

each = $21

cost price = $60

percentage = ?

21/60 x 100/1. To get the percentage, we divide through to get our answer

How many cups of flour are needed to make three dozen dinner rolls

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions are on the test?

Answers

Answer: Number of 5-point question = 4

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Step-by-step explanation:

Let x = Number of 5-points question.

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Answer

Answer: Number of 5-point question = 4

Number of 2-point questions =8

Number of 4-point question = 16

Step-by-step explanation:

Let x = Number of 5-points question.

then, Number of 2- point question = 2x

Also, Let y = Number of 4-point question.

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Total marks = 5x + 2 (2x)+4=100

⇒ 5x+4x+4y=100

⇒ 9x+4y=100     (ii)

Multiply 3 on both sides of (i), we get

9x+3y = 84    (iii)

Subtract (iii) from (ii), we get

y= 16

Put this in (i0, we get

3x+(16)=28

⇒ 3x = 12

⇒ x=4

Now, Number of 5-point question = 4

Number of 2-point questions = 2(4)=8

Number of 4-point question = 16

Step-by-step explanation: got the answer from the last person who answered and they are correct

If you apply the changes below to the absolute value parent function, fx) = x
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Step-by-step explanation:

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