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Brrunno [24]
3 years ago
8

the mean of the commute time to work for a resident of a certain city is 28.8 minutes. assume the standard deviation of the comm

ute time is 8.1 minutes. what minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean?
Mathematics
1 answer:
hjlf3 years ago
3 0

Answer:

The minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean is 75%.

Step-by-step explanation:

We have no information about the shape of the distribution, so we use Chebyshev's Theorem to solve this question.

Chebyshev Theorem

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.

An in general terms, the percentage of measures within k standard deviations of the mean is given by 100(1 - \frac{1}{k^{2}}).

Applying the Theorem

The minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean is 75%.

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Write the equation of a line parallel to y= 2x + 2 that passes through the point (-1,-7). Show your work.
oksian1 [2.3K]

Answer:

\large\boxed{y=2x-5}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

Parallel lines have the same slope. Therefore if given line is

y=2x+2

then the slope of our line is m=2.

We have the equation:

y=2x+b

The line passes through (-1, -7). Put the coordinsted pf the point to the equation:

-7=2(-1)+b

-7=-2+b          <em>add 2 to both sides</em>

-5=b\to b=-5

Finally:

y=2x-5

6 0
3 years ago
on the football team, two out of every seven players are seniors. if the team has 84 players, how many are not seniors.
zaharov [31]

There are 60 players on football team that are not seniors.

Step-by-step explanation:

<u>Method 1:</u>

Given

Total students = 84

Also given that

2 out of 7 are seniors

Which is 2/7

So in order to find the total number of seniors we will multiply the whole number of students to 2/7

Senior\ students = \frac{2}{7} * 84\\= 24

So there are 24 seniors on the football team.

Players that are not seniors = 84 - 24 = 60

There are 60 players who are not seniors.

<u>Method 2:</u>

We can divide the total number by 7, to get how many sets of 7 players will be there

= 84/7 = 12

Now,

Multiplying 12 with 2 will give us the number of seniors in football team.

12*2 = 24 seniors

So,

Not seniors =84-24 = 60

Keywords: Percentage, Units

Learn more about percentage at:

  • brainly.com/question/4710621
  • brainly.com/question/4767370

#LearnwithBrainly

7 0
3 years ago
If a 1 could 1 could a 1 sit on a 2 when a 2 eats a 3 after the 3 sits on 1?
jok3333 [9.3K]

Answer:

no, 2 would be sitting on 1

Step-by-step explanation:

Download docx
7 0
4 years ago
4 times as much as 3 is blank
NeX [460]

Answer:

12

Step-by-step explanation:

4 times 3 is 12.

4+4+4=12

5 0
3 years ago
Anthony has 4 times the amount of pencils as matthew. Together they have 35 pencils.how many pencils does Anthony have
irakobra [83]

Answer:

7

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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