1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
castortr0y [4]
3 years ago
7

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.
Mathematics
1 answer:
Daniel [21]3 years ago
5 0

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

You might be interested in
15 POINTS
choli [55]

Answer:

The muscular work completed by four men will be 2400 ft. lbs.

Step-by-step explanation:

See the diagram of the ramp.

Four men carry 20 boxes each up a ramp as shown.

So, 4 men carry total (4 × 20) = 80 boxes up the ramp and each box weighs 5 pounds.

Then, the 4 men carry total (80 × 5) = 400 lb weight up the ramp.

Now, the vertical height of the ramp from the ground level is 6 ft.

Hence, the muscular work completed by four men will be (400 × 6) = 2400 ft. lbs. (Answer)

5 0
3 years ago
A plane can fly 300 miles in the same time as it takes a car to go 210 miles. If the car travels 90 mph slower than the plane, f
Rudiy27

Answer:

<em>210</em><em>/</em><em>{</em><em>s</em><em> </em><em>60</em><em>}</em>

<em>Answer</em><em> </em><em>is</em><em> </em><em>this</em><em> </em>

Mark as brainlist

3 0
2 years ago
PLEASE HELP, THIS IS A BENCHMARK. WILL GIVE BRAINLIEST!
Ksivusya [100]
You need a picture of the shape.
7 0
2 years ago
Read 2 more answers
F(x)= 1/2x^2-4x+3 in standard form
Finger [1]

Answer:

Already in standard form

Step-by-step explanation:

A quadratic equations standard form is ax^2 + bx + c. This equation is already in standard form.

ax^2 + bx + c

1/2 x^2 - 4x + 3

5 0
2 years ago
(2x+3y)+(8x+10y) simplify the following
zzz [600]

Answer:

10x+13y

Step-by-step explanation:

remove parentheses:

2x+3y+8x+10y

add like-terms:

2x+8x+3y+10y

add numbers with the same variables/elements

10x+3y+10y-->10x+13y

hope this helps

4 0
2 years ago
Read 2 more answers
Other questions:
  • Find the median and the mode of the data. 44, 37, 51, 58, 61, 40, 48, 55, 36
    15·1 answer
  • To make 8cups of beef stew you need about 2 pounds of beef. How many pounds of beef do you need to make 24 cups of beef stew?
    15·1 answer
  • You invest an initial $2,000 in an account that has an annual interest rate of 6%, compounded daily. How much money will you hav
    5·1 answer
  • Does the graph look more like a quadratic or exponential function? Why?
    11·1 answer
  • PLEASE HELP ASAP!
    13·1 answer
  • Please help i have no idea what calculator notation is and i already got 3 wrong
    10·1 answer
  • A retail store makes k% profit on the selling price. What is the least integer value of k that will enable the store to make a p
    15·1 answer
  • It takes 35 red beads and 20 yellow beads to make a particular bracelet.
    13·1 answer
  • You want to buy a new car for $22,654 and decide to take out an auto loan. You make a $3,200 down payment and finance the remain
    7·1 answer
  • What is the approximate length in inches of the radius of the circle
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!