On his lunch break, Calvin purchases a burger and a drink. The total order is $8.50, of which $1.08 is tax. How much was Calvin'
2 answers:
You might be interested in
Answer: a) The customers surveyed purchased only mysteries =12
b) The customers purchased mysteries and science fiction, but not romance novels=10
c) The customers purchased mysteries or science fiction=46
d) The customers purchased mysteries or science fiction, but not romance novels=44
e) The customers purchased exactly two types of books=21
Step-by-step explanation:
Given: n(S)=57
n(M)=33
n(S)=25
n(R)=18
n(M∩S)=12
n(R∩M)=9
n(S∩R)=6
n(R∩S∩M)=2
From the Venn diagram,
d=2
n(M∩S)=a+d=12
⇒a=10
n(R∩M)=b+d=9
⇒b=7
n(S∩R)=c+d=6
⇒c=4
Now, the customers surveyed purchased only mysteries=n(M)-a-b-d=33-10-7-4=12
The customers purchased mysteries and science fiction, but not romance novels=a=10
The customers purchased mysteries or science fiction=n(M∪S)=n(M)+n(S)-n(M∩S)=33+25-12=46
The customers purchased mysteries or science fiction, but not romance novels=n(M∪S)-d=46-2=44
The customers purchased exactly two types of books= a+b+c=10+7+4=21
Option C
The explicit formula for the arithmetic sequence is
<em><u>Solution:</u></em>
Given that the arithmetic sequence is:
3, -3, -9, -15, -21, ...
To find: Explicit formula for the arithmetic sequence
<em><u>The nth term of an arithmetic sequence is given by:</u></em>
Where is nth term of sequence
n is the term's location
is the first term of sequence
d is the common difference between terms
In an arithmetic sequence, the difference between successive terms is constant. This means that we can move from any term to the next one by adding a constant value.
In the given sequence:
3, -3, -9, -15, -21, ...
d = difference between any two terms in sequence
d = -3 - (3) = -6
Substituting the values in above formula,
Thus the explicit formula to find any term in sequence is found
