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
Answer:
I think the answer would be +15.
Step-by-step explanation:
I’m pretty sure it’s option D
Steps:
(x-2)=4x
Pretend that there is a one in front of x-2
1(x-2)=4x
Multiply the bracket by 1
x-2=4x
Move x to the other side .Whenever you move a number or letter the sign changes.
x-x-2=4x-x
-2=3x
Divide by 3 for -2 and 3
-2/3=3/3 x
x=-2/3
Check answer by using substitution method
(-2/3-2)=4(-2/3)
(-2/3-6/3)=-8/3
-8/3=-8/3
Answer is -2/3
