4x - 3y = 51, when x = 15
Plug in 15 for x.
4(15) - 3y = 51
Simplify.
60 - 3y = 51
Subtract 60 from both sides.
-3y = 51 - 60
Simplify.
-3y = -9
Divide both sides by -3.
y = -9/-3
Simplify.
y = 3
~Hope I helped!~
Angle 1 is a right angle, so therefore:
3y-6 = 90
3y = 96
Y = 32
I hope this Helps!
The volume of the partial cone is the volume of the entire funnel minus the volume of the cylindrical part.
The volume of a cylinder is given by:

where: r is the radius of the cylinder and h is the height of the cylinder.
Given that the cylindrical part of the funnel has a height of 1.5 cm and a diameter of 1.5 cm, thus the radius is 1.5 / 2 = 0.75 cm and the volume is given by:

Therefore, the volume of the partial cone is given by 16.59375 - 2.65072 = 13.94303 cubic cm.
Answer: option A
Step-by-step explanation: We can only make a conclusion regarding this question by picking a level of significance.
Hence I will assume a 5% level of significance, that's α = 0.05.
If p > α, it simply means that we have a high chance of committing a type 1 error (because α is the probability of committing a type 1 error), hence we reject the null hypothesis meaning it is wrong.
If p < α, it means that we have a very low chance of committing a type 1 error hence we accept the null hypothesis because it is right.
Note even if we decide to try any reasonable value of α, we will come to the same conclusion made above.