Answer:
Step-by-step explanation:
The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.
The volume of the square prism is given by 
, where 
is the base length and 
is the height. Substituting given values, we have: 
The volume of a trapezoidal prism is given by 
, where 
and 
are bases of the trapezoid, 
is the length of the height of the trapezoid and is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (
) multiplied by the trapezoid's height ().
Substituting given values, we get:
Therefore, the total volume of the composite figure is 
(ah, perfect)
Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:
Answer:
0.0025 = 0.25%
Step-by-step explanation:
First we need to find how many people don't have flue shots.
28% of 50 is equal to 0.28 * 50 = 14 people.
If 14 people have flue shots, we have 50 - 14 = 36 people that don't have flue shots.
Now, to solve this problem, the probability will be the cases where we have a group of people that don't have flue shots (that is, a combination of 36 choose 15) over the total cases (combination of 50 choose 15):
C(36,15) / C(50,15) = (36!/15!*21!) / (50!/15!*35!) = 0.0025 = 0.25%
Answer:
24
Step-by-step explanation:
In the first classroom, there are 4 possibilities of teachers to be assigned.
In the second classroom, 1 teacher has already been assigned, so there are 3 possibilities.
In the third classroom, 2 teachers have already been assigned, so there are only 2 possibilities.
Finally, there is only 1 possible teacher for the fourth classroom, since 3 teachers have already been assigned to other classrooms.
We can find the total number of possibilities using the product rule.
N = 4 × 3 × 2 × 1 = 24
Answer:
A: x = 20
Step-by-step explanation:
Answer:
X = -2 - y/3
Step-by-step explanation:
First you need to know the current equation, for that:
Notice that when Y = 0, X = 2.
When Y = 6, X = 0
Therefore the equation is X = 
To move that to the left of the X axis (negative direction) you just have to reduce the X number:
