Using the Empirical Rule, it is found that 49 farms in the sample have land and building values per acre between $1100 and $1700.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Considering the given mean and standard deviation, values between $1100 and $1700 are within 1 standard deviation of the mean, which is a percentage of 68%.
Hence, the number of farms out of 72 is:
0.68 x 72 = 49 farms.
More can be learned about the Empirical Rule at brainly.com/question/24537145
#SPJ1
Answer:
D. 63 degrees
Step-by-step explanation:
For the first answer
Cos B = 0.45
tan60 = √3
= 60° = arctan √3
Cos B = 0.45
B = 63°
Thus B = arc cos 0.45 = 63°
Answer:
the square root of 35/5
Step-by-step explanation:
The surface area of the prism is given by:
Area=2(x*2x)+2(x(x+3))+2(2x(x+3))
=4x^2+2x^2+6x+4x^2+12x
=10x^2+18x sq. units
The volume will be given by:
V=length*width*height
=2x*x*(x+3)
=2x^3+6x^2 cubic units
As two points are given and the slope between two points say (a,b),(x,y) and is given by
m=y-b/x-a
For your question
1/2=3-2/6-r
(6-r)=1(2)
6-r=2
r+2=6
r=4