Answer:
Step-by-step explanation:
a) P(−1.36 ≤ z ≤ 1.38)
For z = - 1.36,
The corresponding probability from the normal distribution table is 0.08691
For z = 1.38
The corresponding probability from the normal distribution table is 0.9162
Therefore,
P(−1.36 ≤ z ≤ 1.38)
= 0.9162 - 0.08691 = 0.82929
b) P(−2.27 ≤ z ≤ 1.64)
For z = - 2.27
The corresponding probability from the normal distribution table is
0.0116
For z = 1.64,
The corresponding probability from the normal distribution table is
0.9495
Therefore,
P(−2.27 ≤ z ≤ 1.64)
= 0.9495 - 0.0116 = 0.9379
c) P(z ≤ 1.33)
For z = 1.33
The corresponding probability from the normal distribution is 0.9082
Therefore,
P(z ≤ 1.33) = 0.9082
d) P(z > −0.68) = 1 - P(z ≤ −0.68)
For z = - 0.68
The corresponding probability from the normal distribution is 0.2482
Therefore,
P(z > −0.68) = 1 - 0.2482 = 0.7518
Answer:
the original price of the shoes is $75
Step-by-step explanation:
x * 1.08 = 81
x = 81 / 1.08 = 75
75 * 1.08 = 81
Answer:
≥ and ≤ will both be solid dots, as it includes the number
x ≥ -7 is everything greater than -7; x ≤ 4 is everything less than 4.
to include both, you'd click -7, drag right, and stop at 4
The Lagrangian is

It has critical points where the first order derivatives vanish:



From the first two equations we get

Then

At these critical points, we have
(maximum)
(minimum)
If a question has four possible answers, and you are strictly guessing regarding which of them is correct, then the chances of your choosing the correct one from the four is 1 in 4, or 0.25.