Afire insurance company wishes to study the amount of fire damage in major residential fires. the data they collected from a simple random sample of fires in the past six months are shown below: damage (in thousands of dollars) 26.2 17.8 23.1 36.0 31.1 43.2 36.4 26.1 the fire chief wishes to estimate the mean amount of damage with a 95% confidence interval. the population is normally distributed. what is the left bound of the 95% confidence interval for the true population mean (rounded to 2 decimal places)?

23.08 < µ < 36.9

Step-by-step explanation:

First we need to find the sample mean and standard deviation.  

Sample mean:  Add up the values and divide by the total amount of values...

(26.2 + 17.8 + 23.1 + 36.0 + 31.1 + 43.2 + 36.4 + 26.1)/8 = 239.9/8 = 29.99

The sample standard deviation is calculated on the first attached photo

s = 8.27

The confidence interval is constructed in the second attached photo

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