Answer:
the answer is 2ft
Step-by-step explanation:
I hope its right
Answer:
you do what it says so 13=x
Step-by-step explanation:
Answer:
m = 5/9
Step-by-step explanation:
rise = 5
run = 9
m = rise/run
m = 5/9
If 2 boxes remain empty, it means that we put all three balls in one single box.
Suppose the full box is box number 1. For each ball, we have three choices - we may put it in box number 1, 2 or 3. This means that each box has a 1/3 chance of receiving each ball.
So:
- we choose box 1 for ball 1 - that's a 1/3 chance
- we choose box 1 for ball 2 - that's a 1/3 chance
- we choose box 1 for ball 3 - that's a 1/3 chance
So, the probability of putting all balls in box 1 is
![\dfrac{1}{3}\times\dfrac{1}{3}\times\dfrac{1}{3} = \dfrac{1}{3^3}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%5Cdfrac%7B1%7D%7B3%7D%20%3D%20%5Cdfrac%7B1%7D%7B3%5E3%7D%20)
But this is the probability of putting all ballx in box 1, and you can repeat this logic for box 2 and 3.
So, the probability of putting all balls in one single box is 1/27 for each box, for a total of
![\dfrac{1}{27} \times 3 = \dfrac{1}{9}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B1%7D%7B27%7D%20%5Ctimes%203%20%3D%20%5Cdfrac%7B1%7D%7B9%7D%20)
Answer:
a) the angle ABC is approximately 106 degrees b) 24
Step-by-step explanation:
1) Using the law of cos
AC*AC= AB*AB+BC*BC-2*AB*BC*cosB
8*8= 5*5+5*5-2*5*5*cosB
64= 50- 50c0sB
cosB= 14/(-50)= -7/25.
B= arccosB= arccos(-7/25)= 106degrees.
2) sinB*sinB= 1- CosB*cosB= 1-49/625= 576/625
sinB= 24/25 (SinB doesn't equal -24/25, because B is between 0 and 180 degrress, so sin B is positive)
3) S= AB*BC*sinB= 5*5*24/25= 24 (area of the rhombus is 24)