Answer:
400 ft
Step-by-step explanation:
h(t)= -16t^2 + 160t
The vertex is found at
h = -b/2a where b is the coefficient of t and a is the coefficient of t^2
= -160/(2*-16)
-160/-32
5
The time where the maximum occurs is at t=5
To find the maximum substitute into the function
h(5) = -16 (5)^2 +160*5
= -16*25 +800
=-400+800
= 400
The maximum height is 400 ft
Hi
(6-d)(d²-5+3d) = 6d²-30+18d-d³+5d-3d² = -d³+6d²-3d²+18d+5d-30
(6-d)(d²-5+3d) = -d³+3d²+23d-30
Answer: -d³+3d²+23d-30
Answer:
a) 0.0568
Step-by-step explanation:
Let's define the random variable X.
X : ''Number of adults concerned that employers are monitoring phone calls''
X ~ Bi (n,p)
Where n is the sample size and p is the success probability.
n is equal to 6 in this exercise and p = 0.38
We are going to call ''a success'' to an adult concerned that employers are monitoring phone calls.
The probability function for X is

Where nCx is the combinatorial number define as

For a) we are looking for 

There is a probability of 0.0568 that out of six adults, none is concerned that employers are monitoring phone calls.
Answer:
(14502/h)inches²
Step-by-step explanation:
The Volume of a pyramid is calculated using the formula
Volume of a Pyramid = A × h/3
Where A =Area of the Base of the pyramid
h =pyramid height
We can derive the Formula for the base area of the pyramid
Therefore,
The Base area of the pyramid = V
÷ h/3 = 3× V/h
From the question we were given:
The Volume of a pyramid = 4834inches³
The height of the pyramid(h) was not given in the question hence we calculate with respect to the height.
The base area of the pyramid = 3 × V/h
= 3 × 4834inches³/h
Base Area of that pyramid = (14502/h)inches²