PLEASE HELP! I’ve been struggling on days on this!!!
2 answers:
You might be interested in
Answer:
Atleast 93.75% of data lies between 15 and 31.
Step-by-step explanation:
We are given the following in the question:
Mean = 23
Standard deviation = 2
We have to find he data lying between 15 and 31.
Thus, we have to find the data lying within 4 standard deviation from the mean.
Chebyshev's Theorem:
- According to this theorem atleast
percent of data lies within k standard deviation of mean.
- For k = 4.
Thus, atleast 93.75% of data lies between 15 and 31.
Given
A cylindrical bin with a diameter of 15 feet 3 inches and a height of 24 feet 4 inches is used to hold wheat.
One cubic foot holds 0.804 bushels
Find out bushels of wheat can be stored.
To proof
Formula
where r is the radius and h represent the height.
As given in the question
diameter = 15 feet 3 inches
height = 24 feet 4 inches
First convert inches into feet
I inches = 0.083 feet
15 feet 3 inches = 15 + 3 × 0.083
= 15.25 feet
Diameter = 15.25 feet
24 feet 4 inches = 24 + 4 ×0.083
= 24.33 feet
Height = 24.33 feet
Radius = 7.63 feet
Put all the value in the above formula.
we get
Volume of the cylinder = 3.14× 7.63× 7.63× 24.33
= 4447.55 foot³ ( approx)
As given
One cubic foot holds 0.804 bushels
Total bushels of wheat can be stored = 4447.55×0.804
= 3575.83 ( approx)
Total bhushels of wheat stored are 3575.83 ( approx).
Hence proved