Answer:
For this sample, the estimated standard error is of 0.0277
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean
and standard deviation 
Examining the records of 250 convicts, the official determines that there are 65 cases of recidivism.
This means that 
For this sample, the estimated standard error is

For this sample, the estimated standard error is of 0.0277
Answer:
Number of fish in 2006 = 845 fishes (Approx.)
Step-by-step explanation:
Given;
Number of fish in 2000 = 1,150 fishes
Decreasing rate = 5% per year
Find:
Number of fish in 2006
Computation:
Exponential decay function:
F = P[1-r]ⁿ
Number of year = 2006 - 2000
Number of year = 6 year
Number of fish in 2006 = 1,150[1-5%]⁶
Number of fish in 2006 = 1,150[1-0.05]⁶
Number of fish in 2006 = 1,150[0.95]⁶
Number of fish in 2006 = 1,150[0.735]
Number of fish in 2006 = 845.25
Number of fish in 2006 = 845 fishes (Approx.)
Answer:
(-2,6)
Step-by-step explanation:
The solution to the system of equations should be true for both equations. This means that if you substitute -2 into both equations, you should get 6 as the y value for both equations.
They gave you a graph, and to find the solution from the graph, you just look at which point is shared by both lines, or at which point both lines intersect.
There is also a mathematical way to do it using substitution and elimination, but you should master the graphing method first before moving onto those.
Hello,
We know that th formula for the area of a rectangle is:

Now, the problem in this excercise is that there is no restriction on the values that b and h can take, so, they can take any value provided that it meets:
for example:

But if they can only take intenger values, what we have to do is to descompose 12, and then we can analyze the possible solutions.
12 | 2
6 | 2
3 | 3
1
12= 2 *2*3
first option:
12=4*3
Answer: lenght= 4cm and width= 3cm or vice versasecond option:
12=2*6
Answer: lenght= 6cm and width= 2cm <span>
or vice versa</span>