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Serhud [2]
1 year ago
15

Researchers will conduct a year-long investigation of walking and cholesterol levels in adults. They will

Mathematics
2 answers:
Irina-Kira [14]1 year ago
5 0

a. Subjects may enter a false information or data, or can even make mistakes while entering the data.

b. The researcher can use the results of the study to make generalization to the entire population.

<h3>What is a Bias?</h3>

A bias can be defined as the tendency of facts to be distorted or subjective rather than being objective. It's a deviation from the facts.

<h3>What is a Representative Sample?</h3>

A representative sample can be defined as a sample drawn from an entire population such that it is a subset of it and has similar characteristics as the population group.

a. The bias that could be introduced by keeping journal instead of wearing an activity tracker is that subjects may enter a false information or data, or can even make mistakes while entering the data.

b. The benefit of using a representative sample from the population is that: the researcher can use the results of the study to make generalization to the entire population.

Learn more about representative sample on:

brainly.com/question/25142707

#SPJ1

charle [14.2K]1 year ago
3 0
<h2>Answers:</h2><h3>1. Describe what bias could be introduced by keeping the daily journal instead of wearing the activity tracker.</h3>

<em>The bias that could be created by the subjects keeping a daily journal instead of wearing the tracker is based in the following possible events:</em>

a) The subjects could fix the data and present false information.

b) The subjects could make mistakes at the time of collecting the data, related to mismeasurements.

<h3>2. Explain the benefit of using a representative sample from the population.</h3>

<em>First, let's define a "representative population". In statistics, a representative sample is a sample that meets these 3 basic requirements:</em>

<em>1. Each element was selected without any type of bias.</em>

<em>2. Each element was selected randomly.</em>

<em>3. The size of the sample has the minimum amount of elements required for the population. There are defined statistical procedures that determine what the minimum size of the sample should be, based on the size of the population, the mean and standard deviation, and percentage of reliability and error used.</em>

<em />

<em>Now, that we have a definition of a representative sample, let's state the benefits of working with one. Among the benefits of using a representative sample, we have the opportunity of extracting values of interest, such as mean, standard deviation and range, that are as close as posible to those of the population. The importance of getting accurate information is to be able to </em><u><em>obtain real information about a population</em></u><em> and being able to </em><u><em>make good decisions based on that information</em></u><em>.</em>

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Answer:  There are eight steps and two methods. I will be showing you one of them. If you're wondering, I am in 7th grade. I go to K12 online school.

Step-by-step Explanation: 1. Add together the lengths of the bases. The bases are the 2 sides of the trapezoid that are parallel with one another. If you aren’t given the values for the base lengths, then use a ruler to measure each one. Add the 2 lengths together so you have 1 value.[1]

For example, if you find that the top base (b1) is 8 cm and the bottom base (b2) is 13 cm, the total length of the bases is 21 (8 cm + 13 cm = 21 cm, which reflects the "b = b1 + b2" part of the equation).
2. Measure the height of the trapezoid. The height of the trapezoid is the distance between the parallel bases. Draw a line between the bases, and use a ruler or other measuring device to find the distance. Write the height down so you don’t forget it later in your calculation.[2]

The length of the angled sides, or the legs of the trapezoid, is not the same as the height. The leg length is only the same as the height of the leg is perpendicular to the bases.

3. Multiply the total base length and height together. Take the sum of the base lengths you found (b) and the height (h) and multiply them together. Write the product in the appropriate square units for your problem.[3]

In this example, 21 cm x 7 cm = 147 cm2 which reflects the "(b)h" part of the equation.

4. Multiply the product by ½ to find the area of the trapezoid. You can either multiply the product by ½ or divide the product by 2 to get the final area of the trapezoid since the result will be the same. Make sure you label your final answer in square units.[4]

For this example, 147 cm2 / 2 = 73.5 cm2, which is the area (A).

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Read 2 more answers
Perform a first derivative test on the function ​f(x)equals2 x cubed plus 3 x squared minus 120 x plus 6​; ​[minus5​,8​]. Bold
maria [59]

Answer:

a) Critical points

x = 4 and x = -5

b) x = 4 corresponds to a minimum point for the function f(x)

x = - 5 corresponds to a maximum point for the function f(x)

c) The minimum value of f(x) in the interval = -298

The maximum value of f(x) in the interval = 431;

Step-by-step explanation:

f(x) = 2x³ + 3x² - 120x + 6 in the interval [-5, 8]

a) To obtain the critical points, we need to obtain the first derivative of the function with respect to x. Because at critical points of a function, f(x), (df/dx) = 0

f'(x) = (df/dx) = 6x² + 6x - 120 = 0

6x² + 6x - 120 = 0

Solving the quadratic equation,

x = 4 or x = -5

The two critical points, x = 4 and x = -5 are in the interval given [-5, 8] (the interval includes -5 and 8, because it's a closed interval)

b) To investigate the nature of the critical points, we obtain f"(x)

Because f'(x) changes sign at the critical points

If f"(x) > 0, then it's a minimum point and if f"(x) < 0 at c, then it's a maximum point.

f"(x) = (d²f/dx²) = 12x + 6

at critical point x = 4

f"(x) = 12x + 6 = 12(4) + 6 = 54 > 0, hence, x = 4 corresponds to a minimum point.

at critical point x = -5

f"(x) = 12x + 4 = 12(-5) + 4 = -56 < 0, hence, x = -5 corresponds to a maximum point.

c) At x = 4,

f(x) = 2x³ + 3x² - 120x + 6 = 2(4)³ + 3(4)² - 120(4) + 6 = -298

At x = - 5

f(x) = 2x³ + 3x² - 120x + 6 = 2(-5)³ + 3(-5)² - 120(-5) + 6 = 431

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2 years ago
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