Answer:
The value of mean is 
Step-by-step explanation:
The normal distribution of the soft-drink dispensing machine can be stated statistically like
~ 
The standard form representation is
Now we need to obtain 
in such a way that
In standard form
Since
This means
Now looking at the z-table for probability of 0.99 we obtain 1.88
i.e
Making 
Answer:
x=0 x=2 x=7/2
Step-by-step explanation:
P(x) = 3x (x - 2) (2x - 7)
Set equal to zero
0 = 3x (x - 2) (2x - 7)
Using the zero product property
3x =0 x-2 =0 2x-7 =0
x=0 x=2 2x=7
x=0 x=2 x=7/2
Answer:
Step-by-step explanation:
find the inverse of the function y=9x+12
To find the inverse function, swap x and y, and solve the resulting equation for x.
If the initial function is not one-to-one, then there will be more than one inverse.
So, swap the variables: y=9x+12 becomes x=9y+12.
Now, solve the equation x=9y+12 for y.
(x) = (x-12)/9
y=(x−12)/9
Answer:
15 ft
Step-by-step explanation:
Hi, the illustration for the problem is a right triangle with:
hypotenuse (C)= the length of the ladder = L
horizontal side(A) = distance from bottom of the ladder to the building = L - 6
vertical side(B) = distance from the top of the ladder to the bottom of the building = L - 3
So, we can use Pythagoras formula:
A2 +B2= C2
(L – 6 )² + (L-3)² = L²
L²-12L+36+L²-6L+9 =L²
L2 -18L+45 =0
APPLYING QUADRATIC FORMULA WE OBTAIN:
L =15 OR L=3
If L=3
Vertical side = L-3 = 0 (Length can´t be 0)
So L=15
