Step-by-step explanation:
Let (2n +1) be the larger odd number by definition, where n can be any real integer. Then (2n - 1) is the smaller consecutive odd number.
The product of the 2 odd numbers is (2n + 1)(2n - 1) = 4n^2 - 1 = 2(2n^2) - 1. Since n^2 must be an integer, 2(2n^2) - 1 is odd. (Shown)
Answer: (0.465, 5.535)
Step-by-step explanation:
Formula to calculate the confidence interval (<em>when population standard deviation is unknown</em>) is given by :-
, where 
= sample mean.
s= sample standard deviation.
n= Sample size.
= critical value
By considering the given information , we have
s=0.75
n= 9
Significance level = 
[1-0.90=0.1]
By using students' t distribution -table , the critical value for 95% confidence level :
[Note: degree of freedom = n-1]
Now, the 90% confidence interval for the true mean weight of these Southern California avocados will be :
Hence, the required confidence interval =(0.465, 5.535)
Answer:
Football
Categorical variables:
Type of game= Ball game
Governing body= Federation Internacionale de Football Association (FIFA)
Numerical Variables
Number of players in each team= 11
Number of teams involved= 2
Step-by-step explanation:
A categorical variable is data about a subject that tells its category, type or description. It answers the what, when, why, which, and where questions. The game of football is categorized as a ball game and the governing body that supervises it is FIFA. This answers the question of 'Which governing body supervises the game of football?
Numerical variables give details of a subject in terms of figures, or measurements. To answer the question of how many people play the game of football in each team, we state that there are 11 players and the number of teams that can play at the same time is 2.
27j-6=14j+7
Subtract 14j from both sides
27j-6-14j=14j+7-14j
13j-6=7
Add 6 to both sides
13j-6+6=7+6
13j=13
Divide both sides by 13
13j/13=13/13
j=1
I hope that's help !
