The margin of error of the random selection is 0.29
The given parameters are:
 --- the sample size
 --- the sample size
 --- the standard deviation
 --- the standard deviation
 --- the mean
 --- the mean
 --- the confidence level.
 --- the confidence level.
The margin of error (E) is calculated as follows:

So, we have:


The z-value for 90% confidence level is 1.645.
Substitute 1.645 for z


Take square roots

Multiply

Approximate

Hence, the margin of error is 0.29
Read more about margin of error at:
brainly.com/question/14396648
 
        
                    
             
        
        
        
V=hpir²
h=8
d=2r
d/2=r
5/2=2.5=r
V=8pi2.5²
V=8pi6.25
V=50pi
aprox pi=3.14
V=50  times 3.14
V=157 in³
157 cubic inches
        
                    
             
        
        
        
The y values are not changing so y = 6 describes the line
        
             
        
        
        
Answer:  x = 2.65, y = 3.81
Step-by-step explanation:
           ABC similar to PQR 
1) Find the ratio of corresponding sides
2) Use that ratio to find values for x & y 
          1) Side AB = 2.76cm & Side PR = <em>y</em><em> </em>cm
              Side BC = <em>x</em> cm & Side RQ = 3.66 cm
          Side CA = 3 cm & Side QP = 4.14 cm (both lengths given)     
 Can match 3 to 4.14 & ratio of sides in ABC to PQR= 3 /4.14
Length of sides ABC = 3/4.14 times the length of sides PQR
            2)  x = (3 / 4.14) * 3.66 = 2.65 
             Now solve for y, ABC to PQR:  2.76 = (3 / 4.14) (<em>y </em>) 
 <em>equality property</em> (both sides) & inverse operation to isolate <em>y : </em> .               2.76 ÷ (3 / 4.14) = (3 / 4.14 ) ÷ (3 / 4.14) (<em>y</em><em>)</em>
               2.76 * (4.14 / 3) =  3 / 4.14 * (4.14 / 3) (<em>y</em><em>)</em>
                      (2.76 * 1.38 ) =  3.81  = <em>y</em>
<em></em>
<em>Scale Factor Method:  Determine the Multiplier</em>
Small to Big or Big to Small ➜ Be sure not to switch
 
        
             
        
        
        
The population is tripling each minute