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
Assuming that their exam success is independent then
P(both fail) = 1/4 x 2/5 = 2/20 or 1/10
Answer:
Option 2 is right
Step-by-step explanation:
Given that

We can write this in polar form with modulus and radius

Hence angle = 60 degrees and

Since we have got 5 roots for z, we can write 60, 420, 780, etc. with periods of 360
Using Demoivre theorem we get 5th root would be
5th root of 2 multiplied by 1/5 th of 60, 420, 780,....
![z= \sqrt[5]{2} (cos12+isin12)\\z=\sqrt[5]{2} (cos84+isin84)\\\\z=\sqrt[5]{2} (cos156+isin156)\\\\z=\sqrt[5]{2} (cos228+isin228)\\\\z=\sqrt[5]{2} (cos300+isin300)\\](https://tex.z-dn.net/?f=z%3D%20%5Csqrt%5B5%5D%7B2%7D%20%28cos12%2Bisin12%29%5C%5Cz%3D%5Csqrt%5B5%5D%7B2%7D%20%28cos84%2Bisin84%29%5C%5C%5C%5Cz%3D%5Csqrt%5B5%5D%7B2%7D%20%28cos156%2Bisin156%29%5C%5C%5C%5Cz%3D%5Csqrt%5B5%5D%7B2%7D%20%28cos228%2Bisin228%29%5C%5C%5C%5Cz%3D%5Csqrt%5B5%5D%7B2%7D%20%28cos300%2Bisin300%29%5C%5C)
Out of these only 2nd option suits our answer
Hence answer is Option 2.
Answer:

Step-by-step explanation:

Since, Agnes scored 20 % fever than Amy.
So,
Agnes Score = Amy's Points - 20 % of Amy's Points
Agnes Score = 860 - 172
Agnes Score = 688 points
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>
~AnonymousHelper1807</h3>