We need to remember that:
xyz = (x)(y)(z)
if x, y and z are perfect cubes, then xyz would also be a perfect cube
Also,
(x^n)^m = x^(mn)
if it is a perfect cube, then it can be factored into the expression (x^n)^3, wherein n is a whole number.
All should be a perfect cube, given
215x^18(y^3)(z^21)
By writing the terms separately, we would see which one is to be changed.
215 = 5*43, we see this is not a perfect cube, we could changed it to 6^3 or 216
x^18=(x^6)^3
y^3=y^3
z^21=(z^7)^3
The other terms are perfect cubes except for the first one. So the correct answer would be the last option, 215 should be changed.
It need to be at least 50 ft long and 50 ft wide.
Answer:
Black = 84 cm^2
Blue = 84cm^2
gold = 60.2cm^2
1 ornament = 228.2 cm^2
100 ornaments - 22820 cm^2
Step-by-step explanation:
Black is a rectangle = A = l*w = 7*12 = 84 cm^2
We have 2 blue This is a triangle so multiply by 2 the area of a triangle
2 * A = 2(1/2 b*h) = bh = 12*7 = 84 cm^2
We have 2 gold This is a triangle so multiply by 2 the area of a triangle
2 * A = 2(1/2 b*h) = bh = 8.6*7 = 60.2 cm^2
The total surface area for one ornament is
84+84+60.2 = 228.2
100 ornaments
Multiply by 100
100 *228.2 = 22820 cm^2
Answer:
show the screen clearer !
Step-by-step explanation:
Probability that no zebras collide is 0.25
The zebras are represented as z1, z2 and z3.
Z1 to B, Z2 to C, and Z3 to A come first 
Following that, z1 to C, z2 to A, and z3 to B = 
Consequently, the likelihood of no collision is 2×1/8 = 0.25.
<h3>
What are the types of probability distributions ?</h3>
Discrete and continuous probability distributions are the two main categories in which probability distributions fall. There are numerous varieties of probability distributions within each category.
- The number of favorable outcomes of an event divided by the total number of possible outcomes of an event can be used to calculate the probability of an event.
- The likelihood of a sure or certain event is one.
- The likelihood of an impossibility is 0 (0).
- Every event has a probability between 0 and 1.
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