Answer:
a) -0.75
b) -1.5
c) -3
Step-by-step explanation:
The question asks to convert a given value to z score with different sample sizes.
<u>We are given:</u>
Population Mean = u = 40
and
Standard deviation = s = 8
The task is to convert 34 to z-score using 3 different sample sizes.
For a given sample size "n", the formula to calculate the z-score is:

For x = 34 and n=1, we get:

For x = 34 and n = 4, we get:

For x = 34 and n = 16, we get:

From here we can see that increasing the sample sizes increases the magnitude of z-score.
What your looking for is an exponential growth or population growth formula, which is:

- T is the final population (107)
- P is the initial (starting) population (60)
- n is the multiplying factor (2/doubling)
- x is the time/period (21)
For this specific question you're trying to solve 'x' for this equation:
(x/21 has been used as this formula usually deals with 1 hour/day/etc periods not 21 or other numbers)
If you put that formula into a calc to solve for x (e.g. symbolab) then you get the time for the population growth (right side) to equal the desired population amount (left)
Therefore, the time it take the bacteria to reach 107 is 17.526hrs
Answer:
y-y=1 so the answer is 1 bro
Answer:

Step-by-step explanation:
Solve the following inequality:

-Take
and subtract it from
:


-Subtract
on both sides:


-When you are dividing an integer by a negative integer, then the inequality sign changes. So, Take
and divide it on both sides:


Therefore, the answer is
.
Answer:
the answer would be A
Step-by-step explanation:The reason i belive its A is because once 1/4 is simplified to its lowest form it would be -4x which you would then subtract by 7 to get your answer