Consider,
![(z-5)(z+3)](https://tex.z-dn.net/?f=%28z-5%29%28z%2B3%29)
. Let's say
![a = z-5](https://tex.z-dn.net/?f=a%20%3D%20z-5)
then the problem reduces to
![a(z+3)=za+3a](https://tex.z-dn.net/?f=a%28z%2B3%29%3Dza%2B3a)
. (Do you understand this step?)
So then replacing a again with our definition we get,
![z(z-5)+3(z-5)=z^2-5z+3z-15=z^2-2z-15](https://tex.z-dn.net/?f=z%28z-5%29%2B3%28z-5%29%3Dz%5E2-5z%2B3z-15%3Dz%5E2-2z-15)
.
We want to subtract 8x + 3 from -2x+5. We can create an expression to represent this.
-2x + 5 - (8x + 3).
After this, lets distribute the - sign (think of this like expanding something with -1).
-2x + 5 - 8x - 3
Lastly, we just need to combine like terms.
-2x + 5 - 8x - 3
Combine the 5 and -3 to get 2.
-2x + 2 - 8x
Combine the -2x and -8x to get -10x.
-10x + 2
The final answer to the question is therefore A.
Answer:
Step-by-step explanation:
Let X be average interest paid monthly by a bank's Visa cardholders
Given that X is N(28, 8)
In the following to find out probability we convert X to z score and use std normal distribution table
Z = ![\frac{x-28}{8}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-28%7D%7B8%7D)
Probability being less than 1 is here equal to the proportion also.
A) P(X>32) = P(Z>0.5)=0.5-0.1915=0.3085
B) P(X>40) = P(Z>1)=0.5-0.3413=0.1687
C) P(X<19) = P(Z<-1.125)=0.5-0.0438=0.4562
D) We have to find 19th percentile here
Z =-0.88
Answer:
The universal set in this diagram is the set of integers from 1 to 15. Place the integers in the correct place in the venn diagram
Step-by-step explanation:
this is the answer
Most earthquakes occur along the edge of the oceanic and continental plates. So, when they slide past each other. Many think it's when they pull apart but that has mixed results.