If you are trying to see how much the population is in 1800, it is 9.24 million. You add the population from 1790 and the amount it has grown for 1800.
Answer: (a) 0.105 (b) 0.014 (c) 0.119
Step-by-step explanation:
Binomial probability distribution formula :
, where x= number of successes, p= probability of success in each trial, n= number of trials.
Given: n= 4 , p= 0.3418
(a)

(b)

(c)

Answer:
y = -2x^2 -4x +5
Step-by-step explanation:
The vertex is at (-1,7) and the y intercept is at (0,5)
The vertex form of a parabola is
y = a(x-h)^2 +k
where (h,k) is the vertex
y = a(x--1)^2 +7
Then substitute the point into the equation
y = a(x+1)^2 +7
5 = a(0+1)^2 +7 +7
Subtract 7 from each side
5-7 = a(1)^2
-2 = a
y = -2(x+1)^2 +7
Now FOIL
y = -2 (x^2 +2x+1) +7
Then distribute
y = -2x^2 -4x-2 +7
y = -2x^2 -4x +5
Answer:
DC = 1332.95 feet
Step-by-step explanation:
From the figure attached,
Let the measure of DC = h ft
And measure of side BC = a ft
By applying tangent ratio in ΔBCD,
tan(56°) = 
= 
= 
h = a[tan(56°)] --------(1)
By applying tangent rule in ΔACD,
tan(22°) = 
tan(22°) =
= 
h = (a + 2400)tan(22°) ------- (2)
Equating the values of h from equations (1) and (2),
a[tan(56°)] = (a + 2400)tan(22°)
a[tan(56°) - tan(22°)] = 2400[tan(22°)]
1.0785a = 968.6629
a = 899.085 ft
From equation (1),
h = 899.085[tan(56°)]
h = 1332.948
h ≈ 1332.95 ft