The first equation, 8x - 9y = - 23
Obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = ( 
, 3) and (x₂, y₂ ) = (- 4, - 1 )
m = 
= (- 4)/- 
= 
partial equation is y = x + c
to find c substitute either of the 2 points into the partial equation
using (- 4, - 1 ), then
- 1 = - 
+ c ⇒ c = 
y = x + ← in slope- intercept form
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearrange the slope- intercept equation into this form
multiply through by 9
9y = 8x + 23 ( subtract 9y and 23 from both sides )
8x - 9y = - 23 in standard form
To make an expression for any amount of passengers, you need to use x for each passenger. Fill in x with the amount of passengers. Your equation is:
75 + 6x. Now using this expression, we can find the answer to all of the amounts of passengers.
75 + 6(25) = 225; 75 + 6(26) = 231; and so on. Hope that I helped! Good luck!
Answer:
the answer is 1/3
Step-by-step explanation:
HOPE THIS HELPS!!
GOOD LUCK!!!
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.
9y is the answer I believe
