Answer:
The rectangular prism with these dimensions w = 3 cm, l = 5 cm, h = 5 cm has the largest volume.
Step-by-step explanation:
The formula for the Volume of a V = 3 * 5 * 5
V = l * w * h
V = 3 * 5 * 5
V = 75 cm³
The rectangular prism with these dimensions w = 3 cm, l = 5 cm, h = 5 cm has the largest volume.
Start with y=mx+b
B is your y intercept
m is your slope
The points you have are (-1,4) and (1,-2)
To find the slow you Do Y2-Y1/X2-X1
(-2-4)/ (-1-1)
-6/-2
your m is 3
Now you go back to the equation of a Line y=mx+b
to find b (your y intercept) take on of the two points, and substitute it's y value in the equation Let's take (1,-2)
Y=mx+b
-2=3(1)+b
-2=3+b
b=-5
you now know that
b=-5
m=3x
The equation is
y=3x-5
Answer:
4.924 years
Step-by-step explanation:
Lets denote X the lifetime of a tv tube (In years). X has distribution
, with
unknown.
We know that P(X < 4) = 0.2. Using this data, we can find the value of
throught standarization.
Lets call
the standarization of X. Z has distribution N(0,1), and its cummulative function,
is tabulated. The values of
can be found in the attached file.

The value q such that
doesnt appear on the table. We can find it by using the symmetry of the normal density function. The opposite of q, -q must verify that
, hence -q must be equal to 0.84. Thus, q = -0.84
But this value of q should match with the number
, so we have



Thus, the expected lifetime of TV tubes is 4.924 years.
I hope this works for you!