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Nikitich [7]
3 years ago
5

Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends o

n various biomechanical properties of the human nasal periosteum and fascia. An article reported that for a sample of 13 (newly deceased) adults, the mean failure strain (%) was 24.0, and the standard deviation was 3.4.
Mathematics
1 answer:
Svetlanka [38]3 years ago
5 0

Answer: (22.41, 25.59)

Step-by-step explanation:

The t-critical value with 17 degrees of freedom for a 95% confidence interval is : 2.11

Sample mean = 24

Standard deviation = 3.2

Standard error of mean = s / √ n

Standard error of mean = 3.2 / √ 18

SE = 3.2/4.2426

Standard error of mean 0.7542

Confidence interval 24-(0.7542)(2.11) = 22.41 and

24+(0.7542)(2.11) =25.59

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What is the purpose of testing whether β1 = 0? The purpose of testing whether β1 = 0 is to determine whether or not the mean of
Monica [59]

Answer:

The purpose of testing whether β1 = 0 is to determine whether or not there is a significant relationship between x and y

Step-by-step explanation:

  • The purpose of testing whether β1 = 0 is to determine whether or not the mean of the x values is equal to the mean of the y values.

No, since we are not interested if the mean for the two variables x and y are equal, we want to know if we have relationship between the two variables.

  • The purpose of testing whether β1 = 0 is to determine whether or not the regression line provides a good fit for the data

No, if we want to test if the regression line provides a good fit for the data we need to use a Chi square test or other type of test.

  • The purpose of testing whether β1 = 0 is to determine whether or not there is a significant relationship between x and y

Yes, the idea when we have this system of hypothesis:

Null hypothesis: \beta_1 =0

Alternative hypothesis: \beta_1 \neq 0

Is see if we have a significant relationship between x and y, that means that the slope is not equal to 0.

  • The purpose of testing whether β1 = 0 is to determine whether or not there is a cause-and-effect relationship between x and y.

No, when we conduct a regression we never can conclude that we have a cause-relation effect, that's not the goal when we conduct this, the idea is check if we have a type of relationship that can be linear, quadratic or other type of relationship betwen some variables.

8 0
3 years ago
Identify the vertex
Svetradugi [14.3K]

Answer:

The vertex is (-2,10)

Step-by-step explanation:

The vertex is the maximum point on a downward facing parabola

The maximum is (-2,10)

The vertex is (-2,10)

6 0
2 years ago
The triangle below is equilateral. Find the length of side xx in simplest radical form with a rational denominator.
mylen [45]

The length of side x in simplest radical form with a rational denominator is 8√3

<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>

The given parameters are:

Triangle type = Equilateral triangle

Height (h) = 12

Missing side length = x

The missing side length, x is calculated using the following sine ratio

sin(60) = Height/Missing side length

This gives

sin(60) = 12/x

Make x the subject of the formula

So, we have

x = 12/sin(60)

Evaluate the quotient

So, we have

x = 12/(√3/2)

This gives

x = 24/√3

Rationalize

x = 24/√3 * √3/√3

Evaluate

x = 8√3

Hence, the length of side x in simplest radical form with a rational denominator is 8√3

Read more about triangles at

brainly.com/question/2437195

#SPJ1

6 0
1 year ago
Find the constant of proportionality for the table of values.
Anna [14]

The constant of proportionality k is 3.5

Step-by-step explanation:

Proportionality describes any relationship that is always in the same

ratio

If two quantities x and y are in proportionality, then

1. y ∝ x

2. y = k x , where k is the constant of proportionality

∵ x ⇒    6    ,    7      ,    8    ,    9

∵ y ⇒    21   ,   24.5 ,    28  ,    31.5  

∵ y ∝ x

∴ y = k x

- Use x = 6 and y = 21 to find the value of k

∵ x = 6 and y = 21

∴ 21 = k (6)

- Divide both sides by 6

∴ k = 3.5

- Use x = 7 and y = 24.5 to find the value of k

∵ x = 7 and y = 24.5

∴ 24.5 = k (7)

- Divide both sides by 7

∴ k = 3.5

- Use x = 8 and y = 28 to find the value of k

∵ x = 8 and y = 28

∴ 28 = k (8)

- Divide both sides by 8

∴ k = 3.5

- Use x = 9 and y = 31.5 to find the value of k

∵ x = 9 and y = 31.5

∴ 31.5 = k (9)

- Divide both sides by 9

∴ k = 3.5

The constant of proportionality k is 3.5

Learn more:

You can learn more about proportionality in brainly.com/question/10708697

#LearnwithBrainly

4 0
3 years ago
Carla paid $129 plus 6% sales tax for a guitar. What
Nesterboy [21]

Answer:

136.74

Step-by-step explanation:

6 percent of $129 is $7.74

129 plus 7.74 = 136.74

4 0
2 years ago
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