The standard deviation of the average age of a breed of dog is said to be 3.69.
<h3>What is the standard deviation about?</h3>
Note that we take:
- x = dog age has mean 19.5
- Unknown standard deviation.
Hence:
z = (x - mean) /SD is distributed N (0,1) - mean o standard deviation 1 (standard normal)
Since 20% of dogs are known to be older than 22.6 years:
So 22.6 years is said to be 80th percentile,
Since z matching to 80th percentile (using the standard normal table) s is <em>0.84.</em>
Then one need to plug z, x which is = 22.6
mean = 19.5 into the stated z equation:
Hence,
0.84 = (22.6 - 19.5)/SD
SD = (22.6 - 19.5)/0.84
= 3.69
Learn more about standard deviation from
brainly.com/question/475676
#SPJ1
The volume of the triangular prism with the given height and base dimensions to the nearest hundredth is 310.38cm³.
<h3>What is a triangular prism?</h3>
A triangular prism is simply a three-dimensional solid with three rectangular sides and two triangular bases.
The volume of an equilateral triangular prism is expressed as;
V = (√3/4) × a² × h
Given the data in the question;
We substitute our values into the equation above.
V = (√3/4) × a² × h
V = (√3/4) × (8cm)² × 11.2cm
V = (√3/4) × 64cm² × 11.2cm
V = 310.38cm³
Therefore, the volume of the triangular prism with the given height and base dimensions to the nearest hundredth is 310.38cm³.
Learn more about triangular prism here: brainly.com/question/24046619
#SPJ1
An optical double is an illusion—the stars are at vast distances from each other and are not actually orbiting each other—whereas in a visual binary, the stars are actually orbiting each other. its total energy output into all space
Sorry but i really don't understand that question