Answer:
1.48 m
Step-by-step explanation:
mean height of 14 boys is 1.56 m, so their total height is 14 * 1.56 = 21.84 m
mean height of 32 students is 1.515 m, so their total height is 48.48
48.48 - 21.84 = 26.64 (total height of the girls)
mean height of the girls is 26.64/18 = 1.48 m
![5x+5z=0\implies x+z=0\implies z=-x](https://tex.z-dn.net/?f=5x%2B5z%3D0%5Cimplies%20x%2Bz%3D0%5Cimplies%20z%3D-x)
![5x+3y-2z=7x+3y-2x-2z=7x+3y-2=-4\implies7x+3y=-2](https://tex.z-dn.net/?f=5x%2B3y-2z%3D7x%2B3y-2x-2z%3D7x%2B3y-2%3D-4%5Cimplies7x%2B3y%3D-2)
Letting
and
, we have
![7t+3y=-2\implies y=-\dfrac73t-\dfrac23](https://tex.z-dn.net/?f=7t%2B3y%3D-2%5Cimplies%20y%3D-%5Cdfrac73t-%5Cdfrac23)
so the intersection is given by
![\mathbf r(t)=\left(t,-\dfrac73t-\dfrac23,-t\right)](https://tex.z-dn.net/?f=%5Cmathbf%20r%28t%29%3D%5Cleft%28t%2C-%5Cdfrac73t-%5Cdfrac23%2C-t%5Cright%29)
Answer:
Step-by-step explanation:
5x+7=82
5x=75
x=15
Convert 2/5 to a decimal and you get .4, or 40%. 40% of the band members also sing, so yes, the band has the same number of string instrument players and singers.
Answer: a.
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