2.75 cups were in the punch bowl before felicia refilled it .
<u>Step-by-step explanation:</u>
Here we have , the punch bowl at felicia's party is getting low so she adds 12 cups of punch to the bowl two guests serve themselves 1.25 cups and 2 cups and 2 cups of punch the punch bowl now contains 11.5 cups of punch . We need to find how many cups were in the punch bowl before felicia refilled it let n=number of cups bowl before felicia refilled it. Let's find out:
Initially we have , n number of cups of punch ! Than 12 additional cups were added , given below is the equation framed for the number of cups present:
⇒
Now , After this 1.25 and 2 cups were served by guests themselves and remaining cups were 11.5 i.e.
⇒
⇒
Equating both we get :
⇒
⇒
⇒
Therefore , 2.75 cups were in the punch bowl before felicia refilled it .
From the given statement above, the information that can be extracted from the data is the mean which is equal to 9 % , SD equal to 4%, n is equal to 20. we can also get the variance from SD. also, we can also determine the z-score of the data which is important in the distribution.
Answer: 272
Step-by-step explanation:
Let a1=11
a2=20
a3=29
Formula for sequence=
an=a1+(n-1)d
an = nth term
a1= first term
n= nth position
d= common difference
We are looking for the 30th term,so our n=30
d= a2-a1
d= 20-11
d= 9
Using the formula
an= a1+(n-1)d
a30= 11+(30-1)9
a30= 11+(29)9
a30= 11+(29×9)
a30= 11+261
a30= 272
Therefore, the 30th term is 272
7.7 is the greater decimal