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


Related Questions

The temperature is changing every day by negative 5 over 32 degrees Fahrenheit. What will be the change in the temperature after 3 days? (1 point) negative 20 over 8 degrees Fahrenheit 5 over 8 degrees Fahrenheit negative 5 over 32 degrees Fahrenheit negative 5 over 8 degrees Fahrenheit

Answers

Answer:

negative 5 over 32 degrees Fahrenheit

Step-by-step explanation:

Given the following :

Change in temperature per day = (- 5/32)°F

Waht will be the change in temperature after 3 days :

(-5/32)°F × 3 = ( - 15/96)°F

-15/96 = (-5/32)°F

Hence, the change in temperature will be :

negative 5 over 32 degrees Fahrenheit

An internet company charges a $100 set up fee, and then they charge $35 a month after that. What is the rate of change?

Answers

2.857












That’s the right answer

3x +
9y = -27
x + y = -1

Answers

Answer:

  (x, y) = (3, -4)

Step-by-step explanation:

A graphical solution is often quick and easy.

  (x, y) = (3, -4)

_____

These equations can be solved algebraically by dividing the first by 3, then subtracting the second.

  (3x +9y)/3 -(x +y) = (-27)/3 -(-1)

  x +3y -x -y = -9 +1

  2y = -8

  y = -4

  x = -1 -y = -1 -(-4) = 3 . . . from the second equation

The solution is (x, y) = (3, -4).

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

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.

Now, Total question : x+y+2x =28

⇒ 3x+ y =28    (i)

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

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.

Now, Total question : x+y+2x =28

⇒ 3x+ y =28    (i)

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

The temperature in Fairbanks, Alaska, changed from 0F at 6 pm to 4F at 11 pm . Between 11 pm and 5 am , the temperature dropped by 6 degrees . Which number line represents the temperature at 5 am

Answers

I think in order to answer we have to the options

The number line extending towards -2 represents the correct number line.

What is number line?

A line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Given is the temperature in Fairbanks, Alaska, changed from 0 F at 6 pm to 4 F at 11 pm . Between 11 pm and 5 am , the temperature dropped by 6 degrees.

Between 6 pm and 11 pm : 4 - 0 = 4 F

The temperature at 5 AM would be : 4 F - 6 F = - 2 F

Therefore, the number line extending towards -2 represents the correct number line.

To solve more questions on number lines, visit the link below -

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Solve for w.

−(14w+8)+8=3

w=134
w = 52
w=−34
w=−12

Answers

Answer:

w = -12

Step-by-step explanation:

maybe it's right

Answer: W = -12

Step-by-step explanation:

1 .i'm with k12 and got 100%

2 it tells me i got it right

Use the number line to determine which of the following statements is true. Each tick is 1 unit.




The quotient of P and S is positive.

The product of R and S is negative.

The absolute values of Q and R are the same.

Q and S are opposite numbers.

Answers

Answer:

The quotient of P and S is positive.

Step-by-step explanation:

4/2=2

Answer:

The absolute values of Q and R are the same.

Step-by-step explanation:

Given f(x) = -3x + 4, solve for x when f(x) = 1
(Will mark brainliest)

Answers

Answer:

x=1

Step-by-step explanation:

f(x) is a fancy way of saying Y. So whenever you see that, you can just say its y= something.

y=-3x+4

1=-3x+4

Move the -3x to the other side where the one is. By doing this, the 3x will become positive.

3x+1=4

Now just subract one from 4

3x=3

And divide 3 from both sides.

x=1

5. Two blueberry farms are similar in shape. The ratio of the side lengths of
the farms is 5:6, and the smaller farm has a perimeter of 360 yards. The
cost to dig a trench is $0.75 per yard. What is the cost to dig a trench
around the larger blueberry farm?

Answers

Answer:It would cost $270 to dig

Step-by-step explanation:<!>Brainliest Apprecatied<!> :D

Answer: $324

Step-by-step explanation:

For this question, many people think the answer is 270, but that's wrong.

Since the ratio is 5:6 and the smaller farm perimeter we can put that into an ratio equation.

x will be the perimeter of the bigger farm

5/6=360/x

5x=2160

5x/5=2160/5

x=432 yards

That's the perimeter, now to find the cost it would be 432*0.75 which is $324.

i need help on A,B,C on this brainest if help

Answers

Answer:

its d

Step-by-step explanation:

The answer is ddddddddddd

3.45 x 10^-3=

What is this answer

Answers

Answer:

0.00345

Step-by-step explanation:

Answer:   .00345x

Step-by-step explanation:

.00345

Whats the answer I need help

Answers

Answer:

the answer is A you match the shape up with the ABC one

Step-by-step explanation:

Can someone help me with the answer please

Answers

Answer:

D - x^2 + 9x +14

Step-by-step explanation:

I typed it into a problem solving website

(accidentally selected math)

Which of the following is not a function of the skin?

water proofing

contraction

vitamin D production

eliminating urea and ammonia

All of the following are functions of the subcutaneous fat except ____. *

padding

insulation

blood storage

energy storage

Answers

Answer:

The Vitamin D is good for the girls

Step-by-step explanation:

Water proofing

Blood storage

14/25, 13%, 0.28, 7%, 21/100, 0.15 from least to greatest

Answers

Answer:

7%, 0.28, 0.15, 13%, 21/100, 14/25

Step-by-step explanation:

Hope this is right :)

Earth Science Chapter 1
Cust

Answers

Answer:

Annyeonghaseyo! Whats the question ?

Step-by-step explanation:

In a recent year, about 20,700,000 passengers traveled by train in the United States. What is this number
written in scientific notation?
A
2.07 x 108 passengers
B
2.07 x 104 passengers
C
2.07 x 107 passengers
D
2.07 x 10
passengers

Answers

C is correct the number of zero after 2 is 7

2) Jimmy was going to sell all of his stamp
collection to buy a video game. After
selling half of them he changed his mind.
He then bought five more. How many did
he start with if he now has 29?

Answers

48 stamps because 29-5=24 , 24x2=48

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

Find the coordinates of the vertices of the figure after the given transformation.

translation: (x, y)→(x - 4, y + 4)
A) J'(1, 0), N'(5, 0), M'(5, 3), P'(2, 5)
B) J'(-2, 5), N'(2, 5), M'(2, 2), P'(-1, 0)
C) J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1)
D) J'(-1, 0), N'(-5, 0), M'(-5, -3), P'(-2, -5)

Answers

Answer:

Step-by-step explanation:

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

Answers

Answer:

85 rolls hdjsjs

Step-by-step explanation:

There's a lot

Answer:

85 rolls

Step-by-step explanation:

Plz brainlyest

If you apply the changes below to the absolute value parent function, fx) = x
what is the equation of the new function?
• Shift 5 units to the left.
• Shift 4 units down.
A. g(x) = 5x + 41 - 5
B. g(x) = 1x - 51 - 4
C. g(x) = 5x + 51 - 4
D. g(x) = 1x - 41 - 5

Answers

The required function after shifting its origin will be g(x) = |x + 5| - 4.

What is Shifting of Origin?

To shift the coordinates of origin to (h,k): Replace x by (x-h) and y by (y-k) in the given equation and get the new equation.

Here, given function f(x) = |x|

                      or y = |x|

Now,  Shift 5 units to the left. x replaces with x - (-5) = x + 5

          Shift 4 units down, y replaces with y -(-4) = y + 4

 Now equation after shifting ,

         y - k = | x - h|

          y = |x -h| + k

         y = |x - (-5)| +(-4)

        g(x) = |x+5|-4

Thus, The required function after shifting its origin will be g(x) = |x + 5| - 4.

Learn more about Shifting of origin from:

https://brainly.com/question/8829300

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Answer:

Step-by-step explanation:

HELPPPPP!!! PLEASEE The weight of a baby every month since birth is indicated by segments A, B, and C on the graph below.




Select the segments in the correct order from the least to greatest rate of increase in the weight of the baby.



A, B, C


C, B, A


C, A, B


B, C, A

Answers

I dont understand, sorry. I dont understand the diffrtence between the orders It makes no sense whatsoever

Answer:

C, B, A.

Step-by-step explanation:

fun fact : An apple, potato, and onion all taste the same if you eat them with your nose plugged

Answers

Answer:

Cool!

Step-by-step explanation:

I did not know that! Isn't that a brainly fun fact?

Brainliest appreciated!

Answer:

really

Step-by-step explanation:

cool i didnt know that :^D

please im desperate like actually

Answers

Answer:

There are no solutions

Step-by-step explanation:

when you simplify it becomes 0>0 which is not solutions

Algebra 2 Math question Grade 11
Can anyone please help me with this question? Soon as possible!

Write the equation in slope-intercept form: 6x + 2y = 10.

Answers

Answer: y=-3x+5

Step-by-step explanation:

6x+2y=10

Solve for y

2y=-6x+10

y=-3x+5

Answer: y = -3x + 5

Step-by-step explanation:

Slope intercept form is y = mx + b so all you need to do is put the equation into that format.

6x + 2y = 10

2y = 10 - 6x

y = -3x + 5

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.​

Answers

Answer:

y=$24x+$42 A

y=$28x×$25 B

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,
For company A,
y = 42 + 24x - - - - (1)
For company B,
y = 25 + 28x - - - - (2)
Equating both the equation,
42 + 24x = 25 + 28x
17 = 4x
x = 17 / 4
x = 4.25
Put this value in equation 1

y = 42 + 24(4.25)
y = $144

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

Learn more about equations here:

brainly.com/question/10413253

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Find the HCF and LCM of
20 and 38

Answers

Answer:

LCM = 380

HCF = 2

Step-by-step explanation:

Least common multiple (LCM) of 20 and 38 is 380

Greatest common factor (GCF) of 20 and 38 is 2

I want to help but i remembered im too dumb to know the answer im sorry :((

When Sam woke up at 6am the temperature was 72°f. When he got home from school at 3pm,the temperature was 90°f. What was the percent increase?

Answers

Answer:

80%

Step-by-step explanation:

On Saturday, Nikki and Tyler walked to the local farmer’s market. Nikki bought 8 apples for $6. Tyler bought 3 fewer apples than Nikki. How much did Tyler spend on apples?

$

Answers

Answer:

$3.75

Step-by-step explanation:

Answer:

The answer is $3.75

Step-by-step explanation:

I just answered the question on ed.

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