Answer:
Scale factor of cube to the smaller cube is 5 : 3.
Step-by-step explanation:
Ratio of the volumes of two cubes = 
= 
= 
Scale factor of these cubes = ![\sqrt[3]{\text{ratio of the volumes of the cubes}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Ctext%7Bratio%20of%20the%20volumes%20of%20the%20cubes%7D%7D)
= ![\sqrt[3]{\frac{\text{volume of large prism}}{\text{Volume of small prism}}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B%5Ctext%7Bvolume%20of%20large%20prism%7D%7D%7B%5Ctext%7BVolume%20of%20small%20prism%7D%7D%7D)
= ![\sqrt[3]{\frac{125}{27} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B125%7D%7B27%7D%20%7D)
= 
= 5 : 3
Therefore, scale factor of cube to the smaller cube is 5 : 3.
4d + 12 = 4(d + 3)
Basically, you just need to determine what 4d and 12 have in common. In this case, they both divide evenly by 4. Therefore 4 (d + 3) = 4d + 12 according to the distributive property.
H (4.84) will be the correct answer
Mean = sum of values / number of values
74 = x/32
2368 = x
70 = y/19
1330 = y
mean for female students = (2368 - 1330)/(32-19) = 79.85
Z = -2/3a
divide by -2/3 on both sides
a = z divided by -2/3
a = -3/2z