Answer:
A) √((distance travelled due north)²+(distance travelled due east)²)
B) distance from starting point
C) Yes due west
Step-by-step explanation:
A) According to pythagoras theorem
resultant vector= √((distance travelled due north)²+(distance travelled due east)²)
Also see 1st attachment
B) The resultant vector tells the distance from the starting point
C) The same amount of distance travelled in opposite direction that is westwards will give same magnitude of resutlant vector.
See 2nd attachment
Answer:33
Step-by-step explanation: i just did the problem
Answer: 0.0475
Step-by-step explanation:
Let x = random variable that represents the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water, such that X is normally distributed.
Given: 
The probability that a given 1-ml will contain more than 100 bacteria will be:
![P(X>100)=P(\dfrac{X-\mu}{\sigma}>\dfrac{100-85}{9})\\\\=P(Z>1.67)\ \ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Zz)=1-P(Z](https://tex.z-dn.net/?f=P%28X%3E100%29%3DP%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B100-85%7D%7B9%7D%29%5C%5C%5C%5C%3DP%28Z%3E1.67%29%5C%20%5C%20%5C%20%5C%20%5BZ%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D1-P%28Z%3C1.67%29%5C%20%5C%20%5C%20%5BP%28Z%3Ez%29%3D1-P%28Z%3Cz%29%5D%5C%5C%5C%5C%3D1-%200.9525%3D0.0475)
∴The probability that a given 1-ml will contain more than 100 bacteria
0.0475.
Answer:
Option B is correct
Step-by-step explanation:
The multiply of matrix A by matrix B that is inverse of A, must result in an identity matrix that has form shown in option B
Hope this helps!
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The number of cans is n = 4
The number of can that are empty is N = 3
The number of can filled with water is k = 1
The number number of sets of cans is w = 5
Generally probability of detecting the correct can is mathematically represented as
=> 
=> 
Generally probability of not detecting the correct can is mathematically represented as
Generally the number of cans expected of the farmer to correctly identify by chance is mathematically represented as
=> 
=>
