The volume of water in the vase is the difference of volume of cylinder and that of the marbles.
Vcylinder = πr²h = π(6 in)²(12 in) = 432π in³
Vmarbles = 9(4πr³/3) = 9(4π(3 in)³/3) = 324 π in³
The difference of the volumes is 108π in³.
Answer:
Despite some evidence that suggest that finger ring use is associated with higher bacterial
colonization, healthcare providers continue to wear finger rings in a healthcare setting. The aim
of this systematic review was to synthesize the evidence to date regarding whether finger ring
use increases bacterial colonization of healthcare providers' hands. Articles that studied the
association finger ring use with hand hygiene and bacterial colonization were searched using
PubMed, Google Scholar, and Georgia State University's online library systems. The overall
results of this review suggest that finger ring use does increase the bacterial colonization on the
hands of HCPs but not with significant difference when compared to no finger ring use;
therefore, further research needs to be conducted to decide whether finger rings should be used in
a healthcare setting or not.
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Answer: 
Step-by-step explanation:
The confidence interval for population mean is given by :-

Given : Sample size :
, which is a large sample , so we apply z-test .
Sample mean : 
Standard deviation : 
Significance level : 
Critical value : 
Now, a confidence interval at the 95% level of confidence will be :-

Complete question :
There are 575 fireworks to be shot off in a firework display every minute 12 new fireworks are shot off display write a verbal model and algebraic expression to represent the number of fireworks left to be shot off after t minutes.
Answer:
575 - 12t
Step-by-step explanation:
Given the following :
Total number of fireworks = 575
Number of shots per minute = 12
To calculate the number of fireworks left to be shot off after t minutes, The total number of fireworks already shot after the same time interval t in minutes, is first obtained, this is equivalent to (12*t). The result is then subtracted from the total number of fireworks to be shof off.
In algebraic terms
[total number of fireworks on display - (number of shots per minute × t)]
575 - 12t