I believe since ABD is 60, DBC is also 60 and then ABC is 120
Answer:
36 bottles
Step-by-step explanation:
Each spherical bottle will have a volume of ...
V = (4/3)πr³ = (4/3)π(4.57³) = 399.8 . . . . cubic inches
Each box (12-pack?) will have a volume of ...
V = LWH = (15 in)(5 in)(4.4 in) = 330 in³
This is a smaller volume than even one spherical bottle, so 36 bottles will have the larger volume.
Solution:
iv) Given equation: 
Since we are given two variables, we need to split the original expression into two quadratic expressions as

Factoring x first:

= 
= 

Factoring y now:

= 
= ![-1[ y(y+1) + 1(y+1)]](https://tex.z-dn.net/?f=-1%5B%20y%28y%2B1%29%20%2B%201%28y%2B1%29%5D)
= ![-1 [(y+1)(y+1)]](https://tex.z-dn.net/?f=-1%20%5B%28y%2B1%29%28y%2B1%29%5D)
= 
Therefore, the original expression becomes

Answer:
89.008
Step-by-step explanation:
z = (x– mean)/ standard deviation
x = z * standard deviation + mean
Now, z value for the top 4% of the exams (which is the same as getting a score below the 96%) has to be found using a z table.
In this case z = 1.751
x = 1.751 * 8 + 75
x = 89.008
Answer:
9:12 and 12:16
Step-by-step explanation:
3/4 = 0.75
9/12 = 0.75
12/16 = 0.75