4. C and D both are correct
12. H
11. B
Answer:
Option C. 1,024 bacteria
Step-by-step explanation:
We are given that a bacteria culture begins with 4 bacteria which double in size every hour. And we have to find that how many bacteria exist in the culture after 8 hours;
So, Number of bacteria after one hour = 4 * 2 = 8
Number of bacteria after two hours = 8 * 2 = 16
Number of bacteria after three hours = 16 * 2 = 32
Number of bacteria after four hours = 32 * 2 = 64
Number of bacteria after five hours = 64 * 2 = 128
Number of bacteria after six hours = 128 * 2 = 256
Number of bacteria after seven hours = 256 * 2 = 512
Number of bacteria after eight hours = 512 * 2 = 1,024
Therefore, 1,024 bacteria exist in the culture after 8 hours .
Part A:
Consider from x = -5 to x = -4, they are 1 unit apart and the difference of their outputs is given by:
-3 - (-11) = -3 + 11 = 8.
Thus, the value of the output increases by 8 units for each one unit increase in the input.
Part B:
Consider from x = -3 to x = -1, they are 2 units apart and the difference of their outputs is given by:
21 - 5 = 16.
Thus, the value of the output increases by 16 units for each two units increase in the input.
Part C:
Consider from x = 0 to x = 3, they are 3 units apart and the difference of their outputs is given by:
53 - 29 = 24.
Thus, the value of the output increases by 24 units for each three units increase in the input.
Part D:
It can be noticed that the ratio difference in the outputs to the input intervals are equal for all the given input intervals.
i.e 8 / 1 = 16 / 2 = 24 / 3.
Answer:
For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:
For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:
n>= 30
Step-by-step explanation:
For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:
For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:
n>= 30
