Answer:
See explaination for the details of the answer
Step-by-step explanation:
Defect per opportunity DPO = defects/ no. of opportunities = 2/25 = 0.08
Defect per million opportunities
DPMO = DPO * 1 million
DPMO = 0.08 * 1 million = 80,000
six sigma = 2.9, take the dpmo at higher level if not exact 80800 for 2.9
y=5x^2+7 is Non-Linear Functions
Option B is correct option.
Step-by-step explanation:
We need to identify Non-Linear Functions from the equations given.
First we will define Non-Linear Functions
<u>Linear Functions</u>
A function having exponent of variable equal to 1 or of the form y=c, where c is constant is called linear function.
<u>Non-Linear Functions</u>
A function that has variable having power greater than 1 (i.e 2 or above) is called non-linear function.
So, from all the options given, only Option B has power greater than 1 i.e 2. All remaining options are linear functions.
So, y=5x^2+7 is Non-Linear Functions
Option B is correct option.
Keywords: Linear and Non-Linear Functions
Learn more about Linear and Non-linear functions at:
#learnwithBrainly
The table models an exponential relationship, and the equation of the table is 
<h3>How to analyze the table of values?</h3>
The table of values is given as:
x 0 1 2 3 4
y 4 2 1 1/2 1/4
The above table shows an exponential model
An exponential model is represented as:

When x = 0 and y = 4, we have

Evaluate
a = 4
When x = 1 and y = 2, we have

Evaluate

Substitute 4 for a
4b = 2
Divide both sides by 4
b = 1/2
Substitute 4 for a and 1/2 for b in 

Hence, the equation of the table is 
Read more about exponential models at:
brainly.com/question/11464095
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Answer:
The rocket hits the ground at a time of 11.59 seconds.
Step-by-step explanation:
The height of the rocket, after x seconds, is given by the following equation:

It hits the ground when
, so we have to find x for which
, which is a quadratic equation.
Finding the roots of a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



In this question:


So




Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.
Answer:
1) Enlargement
2) Reduction
Step-by-step explanation:
Question 1
200% means double, a factor 2
a) 2(2.5) = 5 inches
it's an enlargement
b) 2(original) = new/on the page
Question 2
a) 0.6(24) = 14.4 inches
Reduction
b) 0.6(original) = new/sketch