Answer:
16,17 and 18
Step-by-step explanation:
In statistics mode of a set of entries is the entry which is repeated maximum. There can be more than one mode in a set of entries. These are called mode,
Bimode ( two mode ) , trimode ( three mode ) and Multimode ( four or more ) .
Hence here our set of entries is,
20,17,16,17,18,16,18,19
arranging them in ascending order
16,16,17,17,18,18,19,20
hence in this case we see that 16,17and 18 all are getting repeated for two times, the maximum.
Hence we have a trimode here
16,17,18
You can stack the eight books on top of each other is one way. And then you can changed the order of how you stack the book 64 different ways. You can also do this vertically standing up. With the spin of the book facing in or out. You can arrange the. By height, color, alphabetically, thickness, year published... basically any individual characteristic they can have can be a way you stack a book.
Since you don't need the full answer, here are a couple hints:
- dy/dx is the first derivative
- (d²y) / (dx²) is just the second derivative
- The subscript "x=1" means to find the derivative when x is 1
- X is function of x
- Plug in X into (X² + 3)², the result should be in terms of x
- If the derivatives were calculated properly, the last part of the question should be able to be proved easily.
I hope these tips help
Answer:
1/256x^4
Step-by-step explanation:
Let x = the mass of a box and
y = the mass of a cube.
<u>Box A </u>
53 cubes and has a total mass = 1760 grams.
Therefore, box mass + 53 cubes mass = 1760.
<em>x+ 53y = 1760 ------------------equation (1).</em>
Box B
18 cubes and has a total mass = 1620 grams.
Therefore, box mass + 18 cubes mass = 1620.
<em>x+ 18y = 1620 ------------------equation (2).</em>
Subtracting equation (2) from equation (1), we get
x+ 53y = 1760
- (x+ 18y = 1620)
______________
35y = 140
Dividing both sides by 35, we get
y = 4.
Plugging y = 4 in first equation, we get
x+ 53y = 1760
x + 53 (4) = 1760.
x + 212 = 1760.
Subtracting 212 from both sides, we get
x + 212-212 = 1760-212.
x = 1548.
<h3>Therefore,
the box mass is 1548 grams and mass of a cube is 4 grams.</h3>