Answer:
The maximum height is 191.063 ft
Step-by-step explanation:
We can easily solve this question by plotting the graph of the equation below
h(t)=-16t^2+Vt+h
Where
h = initial height = 2ft
V = initial speed = 110 ft/s
t = time in seconds
Please, see attached image below
The maximum height corresponds to
191.063 ft
Answer:
<u>70 square units</u>
Step-by-step explanation:
<em>I have plotted the points on the coordinate system and connected roughly using a red line. Image is attached. </em>
The arrow created, consists of a TRIANGLE and a RECTANGLE. The area of the arrow would be:
Area of Arrow = Area of Triangle + Area of Rectangle
Area of Triangle = 0.5 * base * height
Base is 12 units
Height is 7 units, so
Area of Triangle = 0.5 * 12 * 7 = 42
Now,
Area of Rectangle = length * height
Length is 7
Height is 4
Area of Rectangle = 7 * 4 = 28
<u>Area of Arrow = 42 + 28 = 70 square units</u>
Answer:
0.0013
Step-by-step explanation:
To do this, we need to use a normal distribution table with Z score values, like the one I'm attaching here.
Now, the expression to calculate the Z value is the following:
Z = x - μ / (σ/√n)
Where:
μ: mean
σ: standard deviation
x: value required
n: sample population
Now that we have the data, let's calculate the Z value:
Z = 66,000 - 60,000 / (4000/√4)
Z = 3
Now, let's look at the table to get the value that belongs to this Z score. According to the table, it's 0.0013
Therefore, the likelihood would be 0.0013
