Answer:
The wood from the birch tree has a greater density than the wood that came from the cypress tree.
Step-by-step explanation:
Density formula: mass/volume
2 times 4 times 3=24 meters for the volume
Birch tree: 16/24 is the density
3 times 5 times 2=30 meters for the volume
Cypress tree: 15.3/30 is the density
If we convert the densities of each piece of wood to decimal it will be easier to determine which has a greater density.
So birch tree: 0.6 repeating is the density
Cypress tree: 0.51 is the density
Therefore the wood that came from the birch tree has a greater density than the wood that came from the cypress tree.
Hope I helped, have a nice day :)
Answer:
Dimensions of the container:
x = 3 m
y = 6 m
h = 1.1 m
C(min) = 270 $
Step-by-step explanation:
Volume of storage container
V = 20 m³
Let "y" be the length and "x" the width then y = 2*x
V = x*y*h ⇒ V = 2*x²*h ⇒ 20 = 2*x²+h ⇒ h = 10/ x²
Costs:
Total cost = cost of base ( 5*2*x² ) + cost of side with base x ( 2*9*x*h) +
cost of side witn base y =2x (2*9*2x*h)
C(t) = 10*x² + 18*x*h + 36*x*h
C(x) = 10x² + 54*x*10/x² ⇒ C(x) 10*x² + 540 /x
Taking derivatives on both sides of the equation we get:
C´(x) = 20*x - 540/x²
C´(x) = 0 ⇒ 20*x - 540/x² = 0 ⇒ 2x - 54/x² = 0
2x³ - 54 = 0
x³ = 27 x = 3 m
Then y = 2*x ⇒ y = 2*3 y = 6 and h = 10 / x² h = 1.1 m
And the minimum cost is
C (min) = 10*x² + 540/x ⇒ C (min) = 90 + 180
C(min) = 270 $
Answer:lol
Step-by-step explanation:
Answer: induction
Step-by-step explanation:
Answer:
0.0019390
Step-by-step explanation:
10% of people do not like the taste of cilantro
A researcher takes a random sample of 15 people and surveys whether they like cilantro
Use the binomial distribution to compute the probability that exactly 6 of the people in the sample do not like cilantro.
Probability of success = 0.10 = p
Probability of failure = 0.9 =q
n = 15
r = 6
Formula : 
Hence the probability that exactly 6 of the people in the sample do not like cilantro is 0.0019390
