Rewrite it in the form a^2 - b^2, where a = 5x and b = 8
(5x)^2 - 8^2
Use the Difference of Squares; a^2 - b^2 = (a + b)(a - b)
<u>= C. (5x - 8)(5x + 8)</u>
Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The capacity of an Airliner is k = 300 passengers
The sample size n = 320 passengers
The probability the a randomly selected passenger shows up on to the airport
Generally the mean is mathematically represented as
=> 
=> 
Generally the standard deviation is
=> 
=> 
Applying Normal approximation of binomial distribution
Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as
Here 
=>
Now applying continuity correction we have
![P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )](https://tex.z-dn.net/?f=P%28X%20%20%3E300%20%29%20%3D%20%20P%28Z%20%3E%20%20%5Cfrac%7B%5B300%2B0.5%5D%20-%20307.2%7D%7B3.50%7D%20%29)
=> ![P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )](https://tex.z-dn.net/?f=P%28X%20%20%3E300%20%29%20%3D%20%20P%28Z%20%3E%20%20%5Cfrac%7B%5B300.5%5D%20-%20307.2%7D%7B3.50%7D%20%29)
=> 
From the z-table
So
Answer:
Step-by-step explanation:
0.75 feet / day [ 1 day / 24 hours] * [12 inches / 1 foot]
This process is called dimensional analysis. The trick it uses is to cancel out units (like feet or days ) where possible. In this case, 1 day is going to cancel out and leave behind 24 hours. 1 foot will cancel out and leave behind 12 inches.
It is well worth learning how to do this, because the process is done in the higher sciences.
So what you are left with is
0.75 * 12 inches / 24 hours
0.75 inches /hour * 1/2
0.375 inches / hour.
Answer:
y = -2x + 5
Step-by-step explanation:
Given:
Passes through point (1, 3)
Perpendicular to x – 2y = -8
Solve:
x – 2y = -8
y = 1/2x + 4
The slope is m = 1/2
The slope of the perpendicular line is the inverse of the slope of the original equation.
The slope of the inverse equation is m = -2.
Making an inverse equation of y = -2x + a
Find a:
Use point, (1, 3) where (x, y):
3 = (-2)*(1) + a
a = 5
y = -2x + 5
