Answer:
0.78015
Step-by-step explanation:
Given that :
Mean, μ = 1220
Standard deviation, σ = 110
Probability that sales is less Than 1305 on a given day
P(x < 1305) :
Obtain the standardized score Z
Z = (x - μ) / σ
Z = (1305 - 1220) / 110
Z = 85 / 110
Z = 0.7727272 = 0.7727
P(Z < 0.7727) = 0.78015 (Z probability calculator)
Answer:
prime i think sooooooooooooo
Answer:
Step-by-step explanation:
One unit up: y = x + 1
One unit down: y = x - 1
One unit to the left: y = x + 1
One unit to the right: y = x - 1
The Lagrangian is

It has critical points where the first order derivatives vanish:



From the first two equations we get

Then

At these critical points, we have
(maximum)
(minimum)
X(x + 3) + 34 = (x + 5)(x + 2)
First, expand to remove parentheses.
Second, add '2x + 5x' to get '7x'.
Third, cancel out '

' on both sides.
Fourth, subtract '3x' from both sides.
Fifth, subtract '7x - 3x' to get '4x'.
Sixth, subtract '10' from both sides.
Seventh, subtract '34 - 10' to get '24'.
Eighth, divide both sides by '4', leaving the 'x' by itself.
Ninth, since '24 ÷ 4 = 6', simplify the fraction to '6'.
Tenth, switch your sides to get the answer.

Answer:
x = 6