A medical researcher has two petri dishes containing viruses. Dish A has a population density of 1.2 viruses per square millimet
2 answers:
Answer: There are 3391.2 viruses in petri dish A.
Step-by-step explanation:
Given statements : The population density is 1.2 viruses per square millimeter.
each square millimeter is representing population of 1.2 viruses.
There is a directly proportional relation between the area and the population .
Let x be the population of virus in perti dish A.
Therefore,
Hence, there are 3391.2 viruses in petri dish A.
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Answer:
The 95% confidence interval would be given by (18.73;23.07)
Step-by-step explanation:
Assuming these data
20 40 22 22 21 21 20 10 20 20
20 13 18 50 20 18 15 8 22 25
22 10 20 22 22 21 15 23 30 12
9 20 40 22 29 19 15 20 20 20
20 15 19 21 14 22 21 35 20 22
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
First we need to find the sample mean with the following formula:
And in order to find the sample standard deviation we can use the following formula:
In order to calculate the critical value we need to find first the degrees of freedom, given by:
Since the Confidence is 0.95or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by (18.73;23.07)
See, pls, offered explanation:
1) the both equations are linear function, it means system made up of the both equation has the only solution.
2) if to prove this:
Answer: one solution.
1) the both equations are linear function, it means system made up of the both equation has the only solution.
2) if to prove this:
Answer: one solution.