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:
Step-by-step explanation:
3.714285714285714
Answer:
F = 2
Step-by-step explanation:
4f-24+4f=-8
collect like terms
8f-24=-8
move constant to the right
8f=-8+24
calculate
8f=16
divide both sides by 8
Answer F = 2
Answer:
f(x) = -x -4 or f(x) = (-x)-4
Step-by-step explanation:
Let the graph of g be a translation of 4 units down followed by a reflection in the y-axis of the graph of f(x)=x. Write a rule for g.
Transformations can be found using this general formula: f(x) = a(bx-h)+k
For this question, we want a translation down as well as a reflection.
The two values we need to use are for k, a vertical translation, and b, a reflection over the y-axis.
Since we are translating down 4 units, k = -4
Since we are reflecting across the y-axis, b = -1
So, f(x)=(-x)-4
or
f(x)= -x -4