Answer:
![3b \geq -22](https://tex.z-dn.net/?f=3b%20%5Cgeq%20-22)
Step-by-step explanation:
Product of of 3 and b is 3b
At least means greater than or equal too.
![3b \geq -22](https://tex.z-dn.net/?f=3b%20%5Cgeq%20-22)
Answer:
-19 < -18
-19 < -17
-19 < -16
hope this helps
have a good day :)
Step-by-step explanation:
Answer: ![24^{\circ}](https://tex.z-dn.net/?f=24%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Given
River is flowing from south to North with a velocity of ![u=1\ m/s](https://tex.z-dn.net/?f=u%3D1%5C%20m%2Fs)
Motor boat traverses the river from east to west at a speed of ![v=2.5\ m/s](https://tex.z-dn.net/?f=v%3D2.5%5C%20m%2Fs)
South component of boat velocity must compensate the river velocity in order to travel in west direction.
![\therefore v\sin \theta=u\\\\\Rightarrow 2.5\sin \theta=1\\\\\Rightarrow \sin \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=23.57^{\circ}\approx 24^{\circ} \text{south of west}](https://tex.z-dn.net/?f=%5Ctherefore%20v%5Csin%20%5Ctheta%3Du%5C%5C%5C%5C%5CRightarrow%202.5%5Csin%20%5Ctheta%3D1%5C%5C%5C%5C%5CRightarrow%20%5Csin%20%5Ctheta%3D%5Cdfrac%7B2%7D%7B5%7D%5C%5C%5C%5C%5CRightarrow%20%5Ctheta%3D23.57%5E%7B%5Ccirc%7D%5Capprox%2024%5E%7B%5Ccirc%7D%20%5Ctext%7Bsouth%20of%20west%7D)
Step-by-step explanation:
Mean number of tickets sold by boys =
Total Number of tickets sold / Number of boys
=
![\frac{(1 \times 4) + (2 \times 3) + (4 \times 1) + (12 \times 1) + (13 \times 1) + (15 \times 3) + (14 \times 2}{4 + 3 + 1 + 1 + 1 + 3 + 2} \\ = \frac{4 + 6 + 4 + 12 + 13 + 45 + 32}{15} \\ = \frac{116}{15} \\ = 7.73(nearest \: hundredth)](https://tex.z-dn.net/?f=%20%5Cfrac%7B%281%20%5Ctimes%204%29%20%2B%20%282%20%5Ctimes%203%29%20%20%2B%20%284%20%5Ctimes%201%29%20%2B%20%2812%20%5Ctimes%201%29%20%2B%20%2813%20%5Ctimes%201%29%20%2B%20%2815%20%5Ctimes%203%29%20%2B%20%2814%20%20%5Ctimes%202%7D%7B4%20%2B%203%20%2B%201%20%2B%201%20%2B%201%20%2B%203%20%2B%202%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B4%20%2B%206%20%2B%204%20%2B%2012%20%2B%2013%20%2B%2045%20%2B%2032%7D%7B15%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B116%7D%7B15%7D%20%20%5C%5C%20%20%3D%207.73%28nearest%20%5C%3A%20hundredth%29)