A cell reproduces by doubling every hour. If you start with a single cell, how many will you have in 24 hours?
2 answers:
Answer:
In 24 hours you will have 16777216 cells
Step-by-step explanation:
So if we know that we start of with one cell and each hour each cell keeps on doubling then we can find out how much cell there will be in 24 by doing th following.
1 x 2 = 2 (the number of cells after 1 hour)
2 x 2 = 4 (the number of cells after 2 hours)(in order to obtain this we need to multiply the number of cells from the previous hour by 2, and we do this process repeatedly till we get the number of cell after 24 hours). So techencly the number of cells after 24 hours will be equal to
1 x
And so the number of cells after 24 hours will be....
1 x = 1 x 16777216 = 16777216
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Answer:
A. 13.9 and 14.1 inches
See explanation below.
Step-by-step explanation:
Previous concepts
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".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the outside diameters of a population, and for this case we know the distribution for X is given by:
Where and
If we want the middle 68% of the data we need to have on the tails 16% on each one
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.16 of the area on the left and 0.84 of the area on the right it's z=-0.994. On this case P(Z<-0.994)=0.16 and P(z>-0.994)=0.84
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
And since the distribution is symmetrical for the upper limit we can use z = 0.994 and we have:
And if we solve for a we got
So the correct answer for this case would be:
A. 13.9 and 14.1 inches