Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. the success of the procedure depends on various biomechanical properties of the human nasal periosteum and fascia. an article reported that for a sample of 12 (newly deceased) adults, the mean failure strain (%) was 25.0, and the standard deviation was 3.3. (a) assuming a normal distribution for failure strain, estimate true average strain in a way that conveys information about precision and reliability. (use a 95% confidence interval. round your answers to two decimal places.)

Let be the population mean strain in a way that conveys information about precision and reliability.

The sample mean is the best point estimate of the true population mean .

As per given , we have

Sample size : n= 12

degree of freedom :

Sample mean :

The true average strain in a way that conveys information about precision and reliability= 25.0

sample standard deviation : s= 3.3

Significance level :

Since sample population standard deviation is unknown , so we use t-test.

Critical t-value for t :

95% Confidence interval for true average strain in a way that conveys information about precision and reliability:

The 95% Confidence interval for true average strain in a way that conveys information about precision and reliability:

We 95% confident that the true population average strain in a way that conveys information about precision and reliability lies between 22.9 and 27.1 .

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc