Answer:
No extra pieces.
Step-by-step explanation:
Given:
Total number of foot board = 3
Equally divided into = 1/2
Question asked:
How many extra pieces will I have = ?
Solution:
By dividing 3 by 1/2 we can find the extra pieces.
= 
= 
= 
Since, the remainder is zero, thus there is no any extra pieces I have.
Answer:
option (D) 16.5
Step-by-step explanation:
Data provided:
Sleep time of , X = 15.9 is at the 10th percentile
Standard deviation, σ = 0.5 hour
also,
10th percentile of normal distribution is
Z = F⁻¹(0.10)
or
Z = - 1.28 (Using Standard Normal distribution)
Now,

or
X = μ + ( σ × Z )
or
μ = X - ( σ × Z )
on substituting the respective values, we get
μ = 15.9 - 0.5 × (-1.28)
or
μ = 16.5
Hence, the correct answer is option (D) 16.5
Answer: $59313.58
Step-by-step explanation:
We know that formula we use to find the accumulated amount of the annuity ( ordinary annuity interest is compounded ) is given by :-
, where A is the annuity payment deposit, r is annual interest rate , t is time in years and n is number of periods.
Given : Annuity payment deposit :A= $4500
rate of interest :r= 6%=0.06
No. of periods : m= 1 [∵ its annual]
Time : t= 10 years
Now we get,

∴ the accumulated amount of the annuity= $59313.58
it is simple, you multiply 2.5 by 4
2.5*4=10