Given:
Consider the expression is
To find:
The simplified form of the given expression.
Solution:
We have,
Using the properties of exponents, we get
![\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5Cright%5D)
Therefore, the simplified form of the given expression is 
.
For the sequence 2, 6, 18, 54, ..., the explicit formula is: an = a1 ! rn"1 = 2 ! 3n"1 , and the recursive formula is: a1 = 2, an+1 = an ! 3 . In each case, successively replacing n by 1, 2, 3, ... will yield the terms of the sequence. See the examples below.
find the mean, range ,and median of these values 12,4,-2,0,9.-2,1,7,8,2 recall the range is calculated by finding the difference
Lubov Fominskaja [6]
Put numbers in order
-2,-2,0,1,2,4,7,8,9,12
Mean add all the numbers = 39 divide 39 by the number of of numbers on the list which is 10. 39/10 = 3.9
Mean = 3.9
Range is the number of spots between -2 and 12 = 14
Range =14
Median is the middle number in the list there are two middle numbers 2 and 4. Add these together to get 6. Divide 6 by the number 2 because that is how many numbers you had to add. 6/2=3. The is not on the list but it is the average of the two terms.
Median =3
Answer:
Kindly check explanation
Step-by-step explanation:
The prevalence per 1000 among the exposed :
Total number of diseases among those exposed = 60 + 238 = 298
Prevalence per 1000 among the exposed :
(298 / 9000) * 1000 = 33.11
Prevalence per 1000 among the non exposed :
((90 - 60) + (268 - 238)) / 3000
(60 / 3000) * 1000 = 20
Incidence rate per 1000 among the exposed :
238 / 5940 * 1000
0.0400673 * 1000 = 40.07
Incidence rate per 1000 among the unexposed :
((90 - 30) / (3000-30)) * 1000
(60/2970) * 1000 = 20.2
