Answer:
μ = 6500
μx= 6500
σx= 76
σ= 450
n= 35
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean  and standard deviation
 and standard deviation  , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean  and standard deviation
 and standard deviation  .
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The average game is attended by 6,500 fans, with a standard deviation of 450 people. 
This means that 
35 games:
This means that 
Distribution of the sample mean:
By the Central Limit Theorem, we have  and the standard deviation is:
 and the standard deviation is:

 
        
             
        
        
        
Part A:A = 8    B = 12  C = 20D = 27  E = 53  F = 80G = 35  H = 65  I = 100
Part B:53%
Part C:F > H, 80 dislike orange juice while 65 dislike apple juiceThis means the people surveyed dislike orange juice more.
        
             
        
        
        
Answer:
4021.2 cm³
Step-by-step explanation:
you start by getting the radius, the radius is half the diameter which in this case half of 16 is 8 so 8 is your radius and you already know the height which is 20, now that we have the radius and the height we can start
the formula for finding the volume of a cylinder is πr² · h
so are formula would be π8² · 20 which turns into π64 · 20 which then turns into 1280π or 4021.238...
which you then said we need to round the nearest tenth so 4021.238 to the nearest tenth is 4021.2 cm³
 
        
                    
             
        
        
        
Answer:
(3x+4)(x-3)
Step-by-step explanation:
That is the answer
 
        
                    
             
        
        
        
Answer:
0.6
Step-by-step explanation:
A permutation is an arrangement of outcomes whereas a combination is a grouping of outcomes.
Order matters in case of permutations but does not matter in combinations.
Given:
Number of red marbles = 3
Number of white marbles = 2
Number of green marbles = 1
To find: probability of picking 4 marbles and getting one of each color
Solution:
Total number of outcomes =  =
 = 
Number of favourable outcomes = 2 red, 1 white and 1 green marble + 1 red, 2 white and 1 green marble =  =
 = 
So, probability of picking 4 marbles and getting one of each color = Number of favourable outcomes/Total number of outcomes =