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Vilka [71]
3 years ago
5

Subtract the following rational expressions

Mathematics
1 answer:
lesya692 [45]3 years ago
5 0

\dfrac{2k}{3k-7} - \dfrac{3}{8k} = \dfrac{8k(2k)}{8k(3k-7)} - \dfrac{3(3k-7)}{8k(3k-7)}  =  \dfrac{8k(2k)-3(3k-7) }{8k(3k-7)} = \dfrac{16k^2 - 9k + 21}{24k^2-56}

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30 points. Please help.
san4es73 [151]

Answer:

Good ways to sample

Simple random sample: Every member and set of members has an equal chance of being included in the sample. Technology, random number generators, or some other sort of chance process is needed to get a simple random sample.

Example—A teachers puts students' names in a hat and chooses without looking to get a sample of students.

Why it's good: Random samples are usually fairly representative since they don't favor certain members.

Stratified random sample: The population is first split into groups. The overall sample consists of some members from every group. The members from each group are chosen randomly.

Example—A student council surveys 100 students by getting random samples of 25 freshmen, 25 sophomores, 25 juniors, and 25 seniors.

Why it's good: A stratified sample guarantees that members from each group will be represented in the sample, so this sampling method is good when we want some members from every group.

Cluster random sample: The population is first split into groups. The overall sample consists of every member from some of the groups. The groups are selected at random.

Example—An airline company wants to survey its customers one day, so they randomly select 555 flights that day and survey every passenger on those flights.

Why it's good: A cluster sample gets every member from some of the groups, so it's good when each group reflects the population as a whole.

Example—A principal takes an alphabetized list of student names and picks a random starting point. Every 20th student is selected to take a survey.

Bad ways to sample

Convenience sample: The researcher chooses a sample that is readily available in some non-random way.

Example—A researcher polls people as they walk by on the street.

Why it's probably biased: The location and time of day and other factors may produce a biased sample of people.

Voluntary response sample: The researcher puts out a request for members of a population to join the sample, and people decide whether or not to be in the sample.

Example—A TV show host asks his viewers to visit his website and respond to an online poll.

Step-by-step explanation:

In a statistical study, sampling methods refer to how we select members from the population to be in the study.

If a sample isn't randomly selected, it will probably be biased in some way and the data may not be representative of the population.

There are many ways to select a sample—some good and some bad.

4 0
3 years ago
PLEASE Help mE wiTh the two QUESTIONS
babymother [125]

Answer:

the coefficient 2 is the slope (each coordinate is 2 units up and 1 unit right from the previous unit)

the constant 3 is the y-intercept (0, 3)

Step-by-step explanation:

7 0
3 years ago
In the diagram, the radius is 7 and tangent AB has length of 24. Determine the length of OA rounded to the nearest whole number
katen-ka-za [31]

Given the radius r and the tangent line AB, the length of the line OA is 24 units

<h3>How to determine the length OA?</h3>

The radius r and the tangent line AB meet at a right angle.

By Pythagoras theorem, we have:

AB² = OA² + r²

So, we have:

24² = OA² + 7²

Rewrite as:

OA² = 24² - 7²

Evaluate

OA² = 527

Take the square root of both sides

OA = 23

Hence, the length of OA is 24 units

Read more about tangent lines at:

brainly.com/question/14410319

#SPJ1

7 0
2 years ago
The base of a triangle is 5/8 ft. The height is 1/3 ft.
Ierofanga [76]
5/8÷1/3=5/8×3/1
(multiply by reciprocal instead of dividing)
5/8×3/1=15/8=1.875
3 0
3 years ago
8. (08.03 LC)
Luba_88 [7]

Answer: No solution

Step-by-step explanation:

The red line is y=3x+7 and the blue line is y=3x+2

The lines do not intersect at any time. Therefore, this set of equations has no solution. I hope this helps! Pls mark brainliest!! :)

7 0
2 years ago
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