Henrietta did an experiment. She started out with 700 bacteria cells. She found that the growth rate of the bacteria cells was 5
%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 20 hours from the time Henrietta started the experiment. Label your x and y axes. Show all work.
1 answer:
Answer:
The graph in the attached figure
Step-by-step explanation:
we have a exponential function of the form
where
y ---> is the population of bacteria
x ---> the number of hours
a is the initial value or y-intercept
b is the base of the exponential function
r is the rate of change
b=(1+r)
we have
so
substitute
For x=20 hours
substitute in the equation and solve for y
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Answer:
The p-value of the test statistic from the standard normal table is 0.0017 which is less than the level of significance therefore, the null hypothesis would be rejected and it can be concluded that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate.
Step-by-step explanation:
Here, 1304 gas pumps were not pumping accurately and 5689 pumps were accurate.
x = 1304, n = 1304 + 5689 = 6993
The level of significance = 0.01
The sample proportion of pump which is not pumping accurately can be calculated as,
The claim is that the industry representative less than 20% of the pumps are inaccurate.
The hypothesis can be constructed as:
H0: p = 0.20
H1: p < 0.20
The one-sample proportion Z test will be used.
The test statistic value can be obtained as:
Answer:
Step-by-step explanation:
The confidence interval for population mean is given by :-
, where is the sample proportion, n is the sample size ,
is the critical z-value.
Given : Significance level :
Sample size : n= 85
Critical value :
Sample proportion:
Now, the 99% confidence level will be :
Hence, the 99% confidence interval estimate of the true proportion of families who own at least one DVD player is