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:
26 3/4 as a decimal would be 26.75
Hi.
The first question is a direct variation — specifically y = 1.8x
In the second one (if my calculations are correct), it's not a direction variation.
Hope this helps :)
Calculations:
y = 1.8(3) = 5.4
y does not equal x, 2x, or -2x.
<span>Choices: 30 units ;
20 units ; 15 units ;
7.5 units
Given:
perimeter = 30 units
scale factor = 0.5
30 units * 0.50 = 15 units
The perimeter of the resulting triangle is 15 units.</span>
