The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours.
(3x-4y)^2=9x^2-24x+16y^2
(3x-2)(9x^2+6x+4)=27x^3-8
Answer:
Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Top 5%:
X when Z has a pvalue of 0.95. So X when Z = 1.645




Bottom 5%:
X when Z has a pvalue of 0.05. So X when Z = -1.645




Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
In this situation, attendee number thirty will be the first one o receive both the bobblehead and the ticket.
<h3>Which attendees will receive the bobblehead and the ticket?</h3>
Bobblehead:
- Attendee number 10
- Attendee number 20
- Attendee number 30
Ticket:
- Attendee number 15
- Attendee number 30
<h3>What can be concluded?</h3>
It can be concluded the attendee number 30 will be the first one to receive both the ticket and the bobblehead.
Learn more about ticket in: brainly.com/question/14001767
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