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
Answer:
D. 21 ft
Step-by-step explanation:
We need to use Power of Points, which basically says that for intersecting chords in a circle (see attachment), a * b = c * d.
Here, we can say that a = x, b = 6, c = 7, and d = 18. Then, we have the equation:
ab = cd
x * 6 = 7 * 18
6x = 126
x = 21
Thus, x is 21 ft.
Hope this helps!
Answer:
1
Step-by-step explanation:
1. You have the following information:
Sinx=5/13
Cosx=12/13
2. By definiton, you have:
Tanx=(Senx)/(Cosx)
3. When you susbtitute Senx=5/13 and Cosx=12/13 into Tanx=(Senx)/(Cosx), you obtain:
Tanx=(Senx)/(Cosx)
Tanx=(5/13)/(12/13)
Tanx=(5)(13)/(13)(12)
Tanx=65/156
4. Therefore, the answer is;
Tanx=65/156
Answer:
a or d im very positive that is d
Step-by-step explanation: