It's dependent on the context. A book may ask you to find the f'(x) of a function and you may have to use a u sub in your problem which requires you to find the dy/dx of what you substitute. So in this case both would be used.
Answer:
The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Step-by-step explanation:
We are given that
Mean,
Standard deviation,
We have to find the two weights that separate the top 3% and the bottom 3%.
Let x be the weight of machine components
=0.03
From z- table we get
Therefore, we get
Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Answer:
$ 1.725
Step-by-step explanation:
4 Pack of coffee = $ 6.90
1 Pack of coffee = $ 6.90 / 4 = $ 1.725
( The word per means " 1 " )
X= first integer
x+1= second consecutive integer
Product means multiply, so we'll multiply x by x+1. More than means to add and 3 times is multiplication.
x(x + 1)= 3x + 24
use distributive property to multiply x by everything in parentheses
(x*x) + (x*1)= 3x + 24
x^2 + x= 3x + 24
subtract 3x from both sides
x^2 - 2x= 24
subtract 24 from both sides
x^2 - 2x - 24= 0
factor the expression
(x-6)(x+4)= 0
x-6=0
x=6
x+4=0
x=-4
If x= 6 is the first integer, x+1= 7 is the second integer
If x= -4 is the first integer, x+1= -3 is the second integer
Hope this helps! :)