How fast the distance between them decrease is 16mph
<h3>How to calculate the speed of an object?</h3>
Given the following parameters
Speed of the hiker = 6mph
If is it 3/11 the rate of a cyclist, then the rate of the cyclist will be:
6 = 3x/11
3x = 66
x = 22mph
Distance between them = 22 - 6
Distance between them = 16mph
Hence how fast the distance between them decreases is 16mph
Learn more on speed here: brainly.com/question/4931057
The angle swept out is equal to 1/12 of a full rotation is π/6 radians.
r^2 * theta = π/6 * 11.25^2 = 66.268"
Multiply and ull find ur answer
Answer:
a) CI = ( 5,1 ; 5,7 )
b) SE = 0,1
Step-by-step explanation:
a) Sample random n = 100
Mean = μ = 5,4
Standard deviation s = 1,3
CI = 99 % α = 1 % α = 0,01 α/2 = 0,005
z(c) for 0,005 is from z-table z(c) = 2,575
z(c) = ( X - μ ) /s/√n CI = μ ± z(c) * s/√n
CI = 5,4 ± 2,575* 1,3/10
CI = 5,4 ± 0,334
CI = ( 5,1 ; 5,7 )
b) SE = Standard deviation / √n
SE = 1,3 /10 SE = 0,1
We can support that with 99 % of probability our random variable will be in the CI.
The volume of a cylinder is given by
Let 
and 
The new volume becomes
So, the new volume is 8 times the original volume. In fact, volume scales linearly with the height and quadratically with the radius.
