Given:
mean, u = 0
standard deviation σ = 1
Let's determine the following:
(a) Probability of an outcome that is more than -1.26.
Here, we are to find: P(x > -1.26).
Apply the formula:
Thus, we have:
Using the standard normal table, we have:
NORMSDIST(-1.26) = 0.1038
Therefore, the probability of an outcome that is more than -1.26 is 0.1038
(b) Probability of an outcome that
For the derivative tests method, assume that the sphere is centered at the origin, and consider the
circular projection of the sphere onto the xy-plane. An inscribed rectangular box is uniquely determined
1
by the xy-coordinate of its corner in the first octant, so we can compute the z coordinate of this corner
by
x2+y2+z2=r2 =⇒z= r2−(x2+y2).
Then the volume of a box with this coordinate for the corner is given by
V = (2x)(2y)(2z) = 8xy r2 − (x2 + y2),
and we need only maximize this on the domain x2 + y2 ≤ r2. Notice that the volume is zero on the
boundary of this domain, so we need only consider critical points contained inside the domain in order
to carry this optimization out.
For the method of Lagrange multipliers, we optimize V(x,y,z) = 8xyz subject to the constraint
x2 + y2 + z2 = r2<span>. </span>
This is what I got as the answer, 2b x (12-17a)
Answer:
159.25
Step-by-step explanation:
175 multiplied by 6% is 10.5
If you subtract 10.5 from 175 you will get 164.5
Answer:
30 = total muffins
Step-by-step explanation:
To determine how many muffins were eaten, we take the total muffins times the fraction that were eaten
eaten muffins = total muffins * fraction
25 = total muffins* 5/6
Multiply each side by 6/5
6/5*25 = total muffins *5/6*6/5
30 = total muffins
