Answer: The response variable = Volume
and explanatory variable(s) in this study are: Height and Diameter.
Step-by-step explanation:
Important definitions:
- The explanatory variable is a type of independent variable manipulated by the experimenter for the ongoing experimental study.
- The response variable is a type of dependent variable which depends on the explanatory values provided by the experimenter.
Given: A forester wishes to predict the volume (in cubic feet) of usable lumber in a certain species of tree using the height (in feet) and diameter (in inches) of the trees.
Here, Volume directly depends upon the height and diameter of the tree.
Also, forester ( Experimenter) wants to predict volume by cutting tree that means it is an response variable and it depends on height and diameter , so height and diameter are explanatory variable.
Hence, The response variable = Volume
and explanatory variable(s) in this study are: Height and Diameter.
Let

be the roots of the equation

. By the Viet theorem you have that

.
For the equation

you'll have that

That is

.
Answer:
Answer:
He average for this semester so far is 81 points.
Step-by-step explanation:
Since his score is 10% lower this semester than last semester, then he present score is 100% from the prior semester minus 10%, which equals to 90% of the previous semester. In order to calculate that percentage we can use a rule of three as shown below:
90 points -> 100%
x points -> 90%
100*x = 90*90
x = 8100/100 = 81
He average for this semester so far is 81 points.
After 20 days Chelsea, Jordan and Maddy will be working together !
<u>Step-by-step explanation:</u>
Here we have , Chelsea, Jordan and Maddy all work at the same clothing store. Chelsea works every other day. Jordan works every fourth day and Maddy works every fifth day. Today they all worked together. We need to find How many days will it be until they work together again . Let's find out:
According to given scenario we have , Chelsea works every other day i.e. in 1 day. Jordan works every fourth day i.e. in 4 days and Maddy works every fifth day i.e. in 5 days . In order to find How many days will it be until they work together again we will calculate LCM of all of the three people working days period i.e. 1 , 4 , 5 :
⇒ 
⇒ 
Since, LCM of all of the three people working days period i.e. 1 , 4 , 5 is 20 , Therefore , After 20 days Chelsea, Jordan and Maddy will be working together !
Answer:
x=45/2
Step-by-step explanation:
4/9=10/x
cross product
9*10=4*x
90=4x
x=90/4
simplify
x=45/2