Let
denote the number of minutes spent brushing his teeth, and let
be the mean and
the standard deviation for this distribution.
The z-score corresponding to this probability is approximately
, which means
Next, (note the sign change)
The corresponding z-score is approximately
, so you have
Solving the two equations for
and
, you'll find that the mean is approximately
and the standard deviation is approximately
.
Answer:f−1(x)=√2(x+8)2,−√2(x+8)2
Step-by-step explanation:
Interchange the variables. Solve for y. Solve for y and replace with f^-1(×). Replace the y with f^-1 (x) to show the answer.
Answer:
First, we know that sin330 will be in the 4th quadrant, as it lies between 270 and 360 degrees
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
first flip x and y and solve for y
write new equation as x =-3(y+6) distribute
x = -3y -18 add 18 on both sides
x +18 = -3y divide by -3
(-1/3) x -6 or (x +18)/-3 or 
Answer:
2.5
Step-by-step explanation:
f'(x) is non-negative, so f(x) is monotonic and increasing. Its minimum value on the interval of interest will be less than f(0) by the amount of the integral of f'(x) from -3 to 0.
That integral is the area of the triangle bounded by the portion of the curve from (-3, 3) to (0, 0) and the x-axis. The area is ...
A = (1/2)bh = (1/2)(3)(3) = 4.5
So, ...
f(-3) = f(0) -4.5 = 7 -4.5
f(-3) = 2.5
_____
The red curve in the attached graph is f(x). Its value at -3 is 2.5.
