Answer:
It is b^6
Step-by-step explanation:
Answer:
196
Step-by-step explanation:
70% multiply by 4/5(80%) which is 56%
56% times 350
Answer:
B
Step-by-step explanation:
The volume of a rectangular prism is the length times width times height.
V = LWH
V = (4√3)(3√6)W
V = 12√18 W
V = 36√2 W
If the volume is irrational, then W cannot have a radical that is half of a perfect square, because when multiplied by √2, that would yield a rational volume. For example, √18 × √2 = √36 = 6.
Therefore, the answer must be B, because 12 is not half of a perfect square.
V = 36√2 (4√12)
V = 144√24
V = 288√6
Answer:
a) 0.4164
Step-by-step explanation:
Mean lifespan (μ) = 18.8 days
Standard deviation (σ) = 2 days
For any given lifespan 'X', the z-score is:

For X=12.04 days:

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.
For X=18.38 days:

A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.
The probability that a butterfly lives between 12.04 and 18.38 days is

Answer:
The length of the diagonal is x√10
Step-by-step explanation:
Here, we want to find the length of the diagonal
The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides
Mathematically, we then apply Pythagoras’ theorem to get this
we have this as that the square of the diagonal equals the sum of the squares of the two other sides
d^2 = x^2 + (3x)^2
d^2 = x^2 + 9x^2
d^2 = 10x^2
d = √(10x^2)
d = x√10