Answer:
two
Step-by-step explanation:
Answer:
The specific weight is 
Step-by-step explanation:
The question in English
A cone has a lateral area of 255 pi cm^2, an apothem of 17 cm and weighs 900 pi g. It calculates the specific weight of the material of which it is composed
step 1
Find the radius of the cone
we know that
The lateral area of a cone is equal to

we have


substitute the values

Simplify


step 2
Find the height of the cone
Applying the Pythagoras Theorem

substitute the values and solve for h




step 3
Find the volume of the cone
The volume of the cone is equal to

substitute the values


step 4
Find the specific weight
Divide the mass by the volume

Binomial probability states that the probability of x successes on n repeated trials in an experiment which has two possible outcomes can be obtained by
(nCx).(p^x)⋅((1−p)^(n−x))
Where success on an individual trial is represented by p.
In the given question, obtaining heads in a trial is the success whose probability is 1/2.
Probability of 6 heads with 6 trials = (6C6).((1/2)^6).((1/2)^(6–6))
= 1/(2^6)
= 1/64
The formula to finding a discriminant would be b^2-4ac, the b value of this trinomial being -5, the a value being 2, the c value being 3. Then, you plug the values in the equation and solve: (-5)^2-4(2)(3)
This would simplify to 1, meaning there are two solutions since the discriminant value is positive. If it is 0, there is one solution, if it is negative, then there are no real solutions.
For this case the first thing you should do is find the volume of the sphere.
We have then:
V = (4/3) * (pi) * (r ^ 3)
Where,
r: sphere's radius
Substituting values we have:
V = (4/3) * (3.14) * ((3/2) ^ 3)
V = 14.13 in ^ 3
Answer:
The amount of glitter required to completely fill one glass ornament is:
V = 14.13 in ^ 3