Answer:
N(AUC∩B') = 121
The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121
Step-by-step explanation:
Let A represent snickers, B represent Twix and C represent Reese's Peanut Butter Cups.
Given;
N(A) = 150
N(B) = 204
N(C) = 206
N(A∩B) = 75
N(A∩C) = 100
N(B∩C) = 98
N(A∩B∩C) = 38
N(Total) = 500
How many students like Reese's Peanut Butter Cups or Snickers, but not Twix;
N(AUC∩B')
This can be derived by first finding;
N(AUC) = N(A) + N(C) - N(A∩C)
N(AUC) = 150+206-100 = 256
Also,
N(A∩B U B∩C) = N(A∩B) + N(B∩C) - N(A∩B∩C) = 75 + 98 - 38 = 135
N(AUC∩B') = N(AUC) - N(A∩B U B∩C) = 256-135 = 121
N(AUC∩B') = 121
The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121
See attached venn diagram for clarity.
The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is the shaded part
Hello, there!
If s = 9, then 2s = 2 * 9
2 * 9 = 18
2s = 18
I hope I helped!
Let me know if you need anything else!
~ Zoe
Please check the attached images for the answer. Answer with full explanation is screenshoted. Plz refer.
Thanks ☺️
Hope it helps you.
Answer:
270 yds squared
Step-by-step explanation:
You need to area of each of the shapes that make up the triangular prism. So, the side triangles, the back rectangle, the bottom rectangle and the top rectangle.
Side triangle (1x): base*height/2
12*5/2
60/2
30 yds, 60 yds for both sides.
Back rectangle: length*width
5*7
35 yds
Bottom Rectangle: length*width
7*12
84 yds
Top rectangle: length*width
7*13
91 yds.
To get the final answer, you add the surface areas together to get the final amount of yards: 30+30+35+84+91= 270 yds squared. Hope this helps.