Answer:
81.85% of the workers spend between 50 and 110 commuting to work
Step-by-step explanation:
We can assume that the distribution is Normal (or approximately Normal) because we know that it is symmetric and mound-shaped.
We call X the time spend from one worker; X has distribution N(μ = 70, σ = 20). In order to make computations, we take W, the standarization of X, whose distribution is N(0,1)
The values of the cummulative distribution function of the standard normal, which we denote 
, are tabulated. You can find those values in the attached file.
Using the symmetry of the Normal density function, we have that 
. Hece,
The probability for a worker to spend that time commuting is 0.8185. We conclude that 81.85% of the workers spend between 50 and 110 commuting to work.
I assume it is the diameter of the outer wheel they are asking for.
connect OD, which is the radius of the wagon to the outer edge of the wheel.
OYD is a right triangle. use the hypotenuse theorem:
OY²+YD²=OD²
7²+24²=OD²
OD=√625
OD=25
the radius is 25, the diameter is then 50.
Note: if it is the diameter of the inner circle they are asking for, I don't know.
C 1/4>2
cause the and to that is 1/16
Answer:
A prism is a three-dimensional figure with:
o at least two parallel, congruent faces called bases that are polygons.
o Named by its base
Examples: triangular prism, rectangular prism
A pyramid is a three-dimensional figure with:
o one base that is a polygon.
o Its other faces are triangles.
o Examples: triangular pyramid, square pyramid, rectangular pyramid
Step-by-step explanation:
Prove:
Using mathemetical induction:
P(n) = 
for n=1
P(n) = 
= 6
It is divisible by 2 and 3
Now, for n=k, 
P(k) = 
Assuming P(k) is divisible by 2 and 3:
Now, for n=k+1:
P(k+1) = 
P(k+1) = 
P(k+1) = 
Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also
divisible by 2 and 3.
Hence, by mathematical induction, P(n) = is divisible by 2 and 3 for all positive integer n.
