Answer:
Step-by-step explanation:
The first 6 rows of the eruptions data :
eruptions waiting
1 3.600 79
2 1.800 54
3 3.333 74
4 2.283 62
5 4.533 85
6 2.883 55
R code :
1. You can directly access the "Faithful" data in R without importing the data. The dataset faithful is present in the R or you can load the datasets. or use install the datasets.load. package
If you have the data in a text file, make sure all the columns and rows are separated by commas
Step 1: open notepad
Step 2: enter data with no spaces but only commas
Step 3: save the file as ‘faithful.txt’ on your Desktop
# Get R help
?read.table
# Import the data
rain<-read.table("C:/Users/YOUR-NAME/Desktop/faithful.txt", header = TRUE,
sep = ",")
Check the data
data("faithful") #Loading Faithful data
head(faithful, 6) #Reading first 6 rows of the data
Answer:
The volume of the similar prism is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x----> the volume of the larger prism
y----> the volume of the smaller prism
so
In this problem we have
-----> the scale factor
substitute and solve for x
3500(1 + .03/12)^12(5)
3500(1.0025)^60
The answer is:
$4,065.66 or $4,066
Hope this helps :)
Let
x ----------> the height of the whole poster
<span>y ----------> the </span>width<span> of the whole poster
</span>
We need
to minimize the area A=x*y
we know that
(x-4)*(y-2)=722
(y-2)=722/(x-4)
(y)=[722/(x-4)]+2
so
A(x)=x*y--------->A(x)=x*{[722/(x-4)]+2}
Need to minimize this function over x > 4
find the derivative------> A1 (x)
A1(x)=2*[8x²-8x-1428]/[(x-4)²]
for A1(x)=0
8x²-8x-1428=0
using a graph tool
gives x=13.87 in
(y)=[722/(x-4)]+2
y=[2x+714]/[x-4]-----> y=[2*13.87+714]/[13.87-4]-----> y=75.15 in
the answer is
<span>the dimensions of the poster will be
</span>the height of the whole poster is 13.87 in
the width of the whole poster is 75.15 in
