Answer:
8 seconds
Step-by-step explanation:
lets first start by plugging in 1024 into initial height
h(t) = -16t^2 + 1024
I would find a Greatest Common Factor (GCF) first
-16(t^2 - 64) If this is new just think that if you multiply -16 by t squared and -64 you will come back to the original equation
But now we notice that T squared -64 can be factored with the difference of perfect squared method
so we will get -16(t-8)(t+8)
So to get the answers we will set everything equal to 0
-16t =0
t =0 this is the time that the penny was thrown
t-8 = 0
t = 8 the is the time the penny hit the ground
t+8 =0
t= -8 This is an extraneous solution or a solution that doesn't make sense so we just disregard the solution.
Answer:
-0.4
I am pretty sure
Step-by-step explanation:
Answer:
go to profile a delete it
Step-by-step explanation:
Answer:
(a) E(X) = 0.625
V(X) = 0.0260
(b) P(X≤0.2) = 0.00468
(c) P(0.2≤X≤0.6) =0.425
(d) The expected proportion = 0.375
Step-by-step explanation:
Given data;
α = 5
β = 3
(a) E(X) and V(X).
the mean E(X) of a beta distribution is given by the formula;
E(X) = α/(α+β)
Substituting, we have;
E(X) = 5/(5+3)
= 5/8
= 0.625
The variance V(X) of a beta distribution is given by the formula;
V(X) = αβ/(α+β)²(α+β+1)
Substituting, we have;
V(X) = 5*3/(5+3)²(5+3+1)
= 15/(8² * 9)
= 15/576
= 0.0260
See the attached file for solution to (b), (c) and (d
