Answer:
1.00434
Step-by-step explanation:
Given the following :
Given a normal distribution ;
Mean (m) = 1.0 liter
Standard deviation (σ) = 0.01 liter
Sample size (n) = 25
For 97% sample means (sm) = 0.97
Z = (m - sm) / s
Zcrit = 1 - (100% - 97%)/2
Zcrit = 1 - (0.03/2)
Zcrit = 1 - 0.015 = 0.985
The z score which corresponds to 0.985 = 2.17
Upper limit : m + z*(σ/√n)
Upper limit : 1.0 + 2.17*(0.01/√25)
Upper limit : 1. 0 + 2.17*(0.01/5)
= 1.0 + 2.17*0.002
= 1.0 + 0.00434
= 1.00434
Answer:
a(t) = 700t-400
Step-by-step explanation:
Given that when Nour drove altitude increased at a constant rate. Let us consider sea level as 0 and starting time as 0 we have
At the start t =0 and a = -400 m
When t=2 a = 1000 m.
Rate of change of a wrt time = change in a/Change in time
= {1000-(-400)}/(2-0) = 700
i.e. slope = 700
a = 700 t +C
To find C:
When t =0, a =-400
Hence C =-400
Equation is a(t) = 700t-400
I think it might be commutative or associative but double check