Answer:
- <u><em>About 0.22</em></u>
Explanation:
There are two sets:
- Set W of incoming seniors who took AP World History, and
- Set E of incoming seniors who took AP European History
And there is a subset, which is the intersection of those two sets:
- Subset W ∩ E of senior students who took both.
The incoming seniors who are allowed to enroll in AP U.S. History, call them the subset S, is the set of those students that belong to W or E or both W ∩E.
By property of sets:
- S = W + E - W∩E = 175 + 36 - 33 = 178
Then, 178 out of 825 incoming seniors took one or both courses, and the desired probability of a randomly selected incoming senior is allowed to enroll in AP U.S. History is:
Answer:
2
Step-by-step explanation:
For the image, you just multiply the numbers to find the sides
(4*2=8 5*2=10 3*2=6)
Then find out how you went from the preimage to the image.
4 * 2 = 8 etc.
All the angles should add up to 360°.
8x+10x+9+21x-12+90=360°
Group like terms together.
So,8x+10x+21x+9+90-12=360
39x+87=360
39x=360-87
39x=273
x=7
Answer:

Step-by-step explanation:
sin theta=opposite/hyp
sin theta=500/680
theta in degrees=47.33
Answer:
Option C, The faces of all prisms are parallelogram
Step-by-step explanation:
A prism is a form of parallelogram and all its faces are also parallelogram.
The base of a prism is parallelepiped. The base can be of shape of any polygon such as triangle, square, rectangle etc. while the other faces are parallelograms or rectangles
Hence, it can be said that the faces of all prisms are parallelogram
Option C is correct