Answer:
Step-by-step explanation:
,
If One ball is drawn, its color is recorded, and it is replaced in the urn. Then another ball is drawn and its color is recorded.
The 25 Possible outcomes of this experiment are listed below:
The tree diagram of this event is also attached.
The cactus one I think is 0.875
Answer:
18 weeks
Step-by-step explanation:
14 songs / 7 weeks
2 songs per week
36 songs * 1 week/ 2 songs
36 /2 weeks
18 weeks
Answer: 2.7mm
Step-by-step explanation:
The formula for the circumference of a circle is given as 2πr. In thkw case, thw circumference is 17mm.
Therefore, 2πr = 17
2 × 3.14 × r = 17
6.28r = 17
r = 17/6.28
r = 2.7mm
Therefore the radius of the circle is 2.7mm
Step-by-step explanation:
I'll do the first one as an example.
"What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5,1) that partitions the segment into a ratio of 3 to 2?"
Let's call the point we're trying to find P. Ratio of 3 to 2 means that the distance from K to P divided by the distance from P to L is 3/2.
KP / PL = 3 / 2
Which also means the horizontal distances and vertical distances between the points have a ratio of 3:2.
KxPx / PxLx = 3 / 2
KyPy / PyLy = 3 / 2
First, let's use the x coordinates:
(x − (-5)) / (5 − x) = 3 / 2
(x + 5) / (5 − x) = 3 / 2
2 (x + 5) = 3 (5 − x)
2x + 10 = 15 − 3x
5x = 5
x = 1
And now with the y coordinates:
(y − (-4)) / (1 − y) = 3 / 2
(y + 4) / (1 − y) = 3 / 2
2 (y + 4) = 3 (1 − y)
2y + 8 = 3 − 3y
5y = -5
y = -1
So the point P is at (1,-1).
