Answer:
The minimum sample size required for the estimate is 345.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 1.96.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The standard deviation is known to be 1.8.
This means that 
What is the minimum sample size required for the estimate?
This is n for which M = 0.19. So
Rounding up to the next integer:
The minimum sample size required for the estimate is 345.
Answer:
the root of -1 is -1
Step-by-step explanation:
When multiplied by itself, the root is typically a specified number of times gives a specified number or quantity. So -1 × -1 = -1
So there you go
Answer:
Option A
f(x) = 12.5(1.6)^x
Step-by-step explanation:
The number of gnats the scientists have gathered
At 0 hours, they gathered 12 gnats.
Checking all the options, applying x = 0 makes the index part become 1 (Anything raised to the power zero is 1).
So, we have the following functions
f(x) = 12.5
f(x) = 12.6
f(x) = 6.2
f(x) = 1.6
This has reduced our work, as we can screen out options C and D, they are too far from 12. This leaves us with option A and B.
At 1 hour, they gathered 20 gnats.
Checking options A and B
A. f(x) = 12.5(1.6)
= 20
B. f(x) = 12.6(6.2)
By inspection, 12 × 6 is already 72,
12.6 × 6.2 will be more.
By these, we can conclude that f(x) = 12.5(1.6)^x has the best models the number of gnats the scientists have gathered after the number of hours listed in the given table.
Answer:
+ 11m - 11
Step-by-step explanation:
6m+(m-2)(m+7)+3 = 6m + [ m*m - 14 -2m + 7m] + 3
= 6m + mm - 14 + 5m + 3
= mm + 11m - 11
6m+(m-2)(m+7)+3 = + 11m - 11
