Answer:
[ry, yr, gy, yg, rg, gr]-Any three picks from this sample space.
Step-by-step explanation:
-The bag contains exactly
marbles.
-He picks one ball without looking, and chooses a second ball without replacing the first:
- If the first is red, the the second is either yellow or green,
- If the first is a yellow, then the second can be red or green,
- If the first is green, then the second can be a red or yellow.
The sample space of the second pick is therefore:
[ry, yr, gy, yg, rg, gr]
Hence, any three picks from the sample space are correct possible outcomes.
Answer:
We have to find the maximum number of solutions of each of the following system:
1)
Two distinct concentric circles:
Since, distinct concentric circles means that the two circles have same center but different radius.
That means they will never intersect each other at any point.
Ans hence we will get zero solutions.
2)
Two distinct parabolas:
Two parabolas can maximum intersect at 2 points this could be seen by the diagrams.
3)
A line and a circle.
A line and a circle can maximum have 2 solutions.
4)
A parabola and a circle.
It can have maximum two solutions it can be seen from the diagram.
Answer:
Possible values of dimensions are (24,16,2) or (24,8,4)
Step-by-step explanation:
We are given the volume of the Cuboid and length . We are required to find the possible values of width and height from this information.
Let us say that the width is x and height is y
Length = 24
Volume of a cuboid = length * width * height
Volume = 768
768=24*x*y

xy=32
Now the possible factors of 32
32=1*32 ( Which shall not be taken into consideration as length is already given as 24 and width or height can not be more length)
32=2*16
32=4*8
Hence the possible values width are 8, 16 and that of height 4 and 2
Hence the possible values of dimensions are (24,16,2) or (24,8,4)
The Law of Sines may be written as
b/sin(B) = c/sin(C)
Multiply each side by sin(B).
b = (c*sin(B))/sin(C)
The correct answer is C.
Answer: C. (c*sin B)/sin C
Answer:
Reflect the parent function over the x-axis, and translate it 8 units to the left.
Step-by-step explanation:
The given function is

The parent function is

Since there is a negative multiply the transformed function, there is a reflection in the x-axis.
Since 8 is adding, within the square root, there is a horizontal translation of 8 units to the left.
Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.