Answer:
The sample proportion is 0.19815
Step-by-step explanation:
A confidence interval has two bounds, a lower bound and an upper bound. The sample proportion is the halfway point between these two bounds, that is, the sum of the bounds divided by 2.
In this problem, we have that:
Lower bound: 0.1759
Upper bound: 0.2204
Sample proportion:
(0.1759 + 0.2204)/2 = 0.19815
The sample proportion is 0.19815
The speed of the ball is
ds/dt = 32t
At t =1/2 s
ds/dt = 16 ft/s
The distance from the ground
50 - 16(1/2)^2 = 46 ft
The triangles formed are similar
50/46 = (30 + x)/x
x = 345 ft
50 / (50 - s) = (30 + x)/x
Taking the derivative and substituing
ds/dt = 16
and
Solve for dx/dt
Answer:
Step-by-step explanation:
We will use 2 coordinates from the table along with the standard form for an exponential function to write the equation that models that data. The standard form for an exponential function is
where x and y are coordinates from the table, a is the initial value, and b is the growth/decay rate. I will use the first 2 coordinates from the table: (0, 3) and (1, 1.5)
Solving first for a:
. Sine anything in the world raised to a power of 0 is 1, we can determine that
a = 3. Using that value along with the x and y from the second coordinate I chose, I can then solve for b:
. Since b to the first is just b:
1.5 = 3b so
b = .5
Filling in our model:
Since the value for b is greater than 0 but less than 1 (in other words a fraction smaller than 1), this table represents a decay function.
Given (-4,9) (-8,9),(-9,7,(-9,4)
...
To Find : plot the point and draw quadrilateral
Solution:
(-4,9)
go 4 left of origin and then go 9 up
(-8,9)
go 8 left of origin and then go 8 up
(-9,7)
go 9 left of origin and then go 7 up
(-9,4)
go 9 left of origin and then go join (-4,9) with (-8,9) and (-9,4) 4 up
join (-9,7) with (-8,9) and (-9,4)
Quadrilateral is constructed
