Answer:
a) (1215, 1297)
b) (1174, 1338)
c) (1133, 1379)
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 1256
Standard Deviation, σ = 41
Empirical Rule:
- Also known as 68-95-99.7 rule.
- It states that almost all the data lies within three standard deviation for a normal data.
- About 68% of data lies within 1 standard deviation of mean.
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within 3 standard deviation of mean.
a) range of years centered about the mean in which about 68% of the data lies

68% of data will be found between 1215 years and 1297 years.
b) range of years centered about the mean in which about 95% of the data lies

95% of data will be found between 1174 years and 1338 years.
c) range of years centered about the mean in which about all of the data lies

All of data will be found between 1133 years and 1379 years.
1. Brandi was driving 60mph down the highway. Ratio is 60/1. 60mi per 1 hr
2. Brandi bought 5 apples at the store and 6 oranges. The ratio of apples to oranges is 5:6 or 5 to 6.
3. Brandi has 3 sisters and 1 brother. Ratio of sisters to brothers is 3:1 or 3 to 1.
4. Brandi has 20 shirts and 10 pants in her closet. The ratio of shirts to pants is 20:10 or 20 to 10.
5. Brandi has 12 boys in her class and 13 girls. The ratio of boys to girls is 12:13 or 12 to 13
Hope this helps:)
Answer:

Step-by-step explanation:
The area of a trapezoid.





Given:
Consider the below figure attached with this question.
To find:
The perimeter of the polygon UVWXYZ.
Solution:
All sides and vertical and horizontal. So, we can easily find the side lengths of the given polygon by counting the boxes between two points.
From the figure it is clear that,
UV = 9 units
VW = 2 units
WX = 3 units
XY = 3 units
YZ = 6 units
ZU = 5 units
Now, perimeter is the sum of all the sides.



Therefore, the perimeter of UVWXYZ is 28 units.