Answer:
Step-by-step explanation:
1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min
By comparing P(0 ≤ Z ≤ 30)
P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)
Using Table
P(0 ≤ Z ≤ 1) = 0.3413
P(Z > 1) = (0.5 - 0.3413) = 0.1537
∴ P(Z > 45) = 0.1537
2) By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)
P(Z ≤ 15 - 30/15) = P(Z ≤ -1)
Using Table
P(-1 ≤ Z ≤ 0) = 0.3413
P(Z < 1) = (0.5 - 0.3413) = 0.1587
∴ P(Z < 15) = 0.1587
3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)
P(Z ≤ 60 - 30/15) = P(Z ≤ 2)
Using Table
P(0 ≤ Z ≤ 1) = 0.4772
P(Z > 1) = (0.5 - 0.4772) = 0.0228
∴ P(Z > 60) = 0.0228
k-3+3<5+3 is the explanation and the answer is k<8
The solutions are 
.
Solution:
Given equation:
Add 
on both sides.
-------- (1)
(given) -------- (2)
Equate (1) and (2).
Add 
on both sides.
Add 5 on both sides.
Divide by 5 on both sides, we get
Taking square root on both sides, we get
Substitute 
in (1).
Substitute 
in (1).
Therefore the solutions are .
Option C is the correct answer.
Im guessing you meant improper. This means that the numerator is greater than the denominator. An example is 11/4
Answer:
16.12ft
Step-by-step explanation:
Check attachment
