Answer:
B) approximately normal with mean 2.3 and standard deviation 2
Step-by-step explanation:
Given the following :
Mean crimes per day = 2.3
Standard deviation = 2
Number of samples = 100
Sampling distribution of the mean:
According to the central limit theorem:
Sample mean = population mean
2.3 = 2.3
The standard deviation of the sample (s) : ratio of the population standard deviation and square root of the sample size.
s = population standard deviation / √sample size
s = 2 / √100
s = 2 / 10
s = 0.2
The central limit theorem also posits that once ths sample size is large enough, the sampling of the sample mean will be approximately normal.
Hence, the distribution is approximately normal, with mean of 2.3 and standard deviation of 0.2
Answer:
3
Step-by-step explanation:
Here we have the function
We want to find the following ratio:
Note that the limit of this for 
is equivalent to the derivative of the function.
Here we have:
And
Therefore we have
And therefore,
Answer:
y-intercept: (0, 3)
Step-by-step explanation:
Attached is a screenshot of the plotted points (-1, 1) and (1, 5) on a graph. It shows that the line crosses the y-axis at point (0, 3) → which is the y-intercept.
Please mark my answer as the Brainliest, if you find this helpful :)
Answer:
See answers and explanations below (along with a visual graph)
Step-by-step explanation:
For the function 
:
Amplitude: 
Period: 
Phase shift: 
Vertical shift: 
Therefore, for 
:
Amplitude: 
, which is 2 units above and below the midline (see d)
Period: 
, so the cycle will repeat every 3π units
Phase shift: 
, or π units to the left
Vertical shift: 
, or 1 unit down
Answer:
c. $1,291.30
Step-by-step explanation:
Calculation what will his new annual homeowners insurance premium be
Insurance premium= [$1,106.30+ ($0.37/ $100*$50,000)]
Insurance premium=$1,106.30+$185
Insurance premium=$1,291.30
Therefore what his new annual homeowners insurance premium will be is $1,291.30
