Answer:
18.18%
Step-by-step explanation:
55-45=10
10/55=0.18
 
        
             
        
        
        
Mean of the distribution = u = 222
Standard Deviation = s = 16
We have to find the probability that a value lies between 190 and 230.
First we need to convert these data values to z score.

For x = 190, 

For x = 230

So, we have to find the percentage of values lying between z score of -2 and 0.5
P( -2 < z < 0.5) = P(0.5) - P(-2)
From standard z table, we can find and use these values.
P(-2 < x < 0.5 ) = 0.6915 - 0.0228 = 0.6687
Thus, there is 0.6887 probability that the data value will lie between 190 and 230 for the given distribution. 
 
        
        
        
Principal clements needs to buy 10 packages
<em><u>Solution:</u></em>
Given that, Principal clements wants to buy a pencil for each of the 57 fourth graders in her school
The pencils come in packages of 6
Therefore,
Total number of students = 57
<em><u>Thus, divide 57 by 6 to get the number of packages clements need to buy</u></em>
 <em><u></u></em>
<em><u></u></em>
<em><u>Substituting the given values we get,</u></em>

Thus principal clements needs to buy 10 packages
 
        
             
        
        
        
Answer:
−2(4−5 i hope it helps :)