mooncake9090
31.05.2021 •
Mathematics
Olivia is studying a type of bacteria which quadruples every day. The initial bacteria population was 25.
a. Write an equation to represent the scenario (2 marks)
b. Using your equation, calculate how many days have passed when the population reaches 1600. (2 marks)
c. State the Domain and Range in the context of the question (no graph necessary . (1 mark)
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Ответ:
Z - score = 2.83
Step-by-step explanation:
Given the following :
Number of samples (N) = 60
Sample mean (x) = 41.9mg
Population mean (μ) = 40mg
Population standard deviation (sd) = 5.2
Using the relation :
Z = (x - μ) / (sd / √N)
Z = (41.9 - 40) / (5.2 / √60)
Z = 1.9 / (5.2 / 7.7459666)
Z = 1.9 / 0.6713171
Z = 2.8302570
Therefore, the z-score = 2.83