Answer:
Discriminant = 20
Step-by-step explanation:
We use formula to find the discriminant.
Discriminant (D) = b^2 - 4ac
The given equation is x^2 - 6x + 4 = 0.
Here the value of a = 1, b = -6 and c = 4.
Plug in the given values in the formula, we get
Discriminant (D) = (-6)^2 - 4*1*4
= 36 - 16
Discriminant = 20
Thank you.
Answer:




Step-by-step explanation:
The probability mass function P(X = x) is the probability that X happens x times.
When n trials happen, for each
, the probability mass function is given by:

In which p is the probability that the event happens.
is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:

The sum of all P(X=x) must be 1.
In this problem
We have 3 trials, so 
The probability that a wafer pass a test is 0.7, so 
Determine the probability mass function of the number of wafers from a lot that pass the test.




Answer:
12x = 84
x = 7
Step-by-step explanation:
12x = 83 1/3 + 2/3
12x = 84
x = 84/12
x = 7
Hope that helps!
Answer:
see below
Step-by-step explanation:
Part A: (72)^x = 1
Take the log base 72 of each side
log72(72^x) = log 72(1)
We know log a^b = b log a
x log72(72) = log72(1)
x = log72(1)
x = 0
Part A: (70)^x = 1
Take the log base 70 of each side
log70(70^x) = log70(1)
We know log a^b = b log a
x log70(70) = log70(1)
x = log70(1)
x = 0