Answer:
(a) The average grade point is 2.5.
(b) The relative frequency table is show below.
(c) The mean of the relative frequency distribution is 0.3333.
Step-by-step explanation:
The given data set is
4, 4, 4, 3, 3, 3, 1, 1, 1, 1
(a)
The average grade point is



Therefore the average grade point is 2.5.
(b)

The relative frequency table is show below:
x f Relative frequency
4 3 
3 3
1 4 
(c)
Mean of the relative frequency distribution is


Therefore the mean of the relative frequency distribution is 0.3333.
Volume of the cone is 117.5 π ft³
<u>Step-by-step explanation:</u>
Lateral area of the cone = πrs
s is the slant height = 15 ft
From the above formula, we can find the radius as, 5 ft.
Volume of the cone = π r² h/3
s = √ (5²+ h²)
Squaring on both sides, we will get,
s² = 15² = (5² + h²)
15² - 5² = h²
225 - 25 = 200 = h²
h = √200 = 14.1 ft
Volume = π × 5² × 14.1 / 3 = 117.5 π ft³
2x² - 4x - 30
2(x²) - 2(4x) - 2(15)
2(x² - 4x - 15)
Answer:
vi = 25.28 m/s
Step-by-step explanation:
a = -9.4 m/s²
x = 34 m
vf = 0 m/s
vi = ?
We can apply the equation
vf² = vi² + 2*a*x
⇒ vi = √(vf² - 2*a*x)
⇒ vi = √((0 m/s)² - 2*(-9.4 m/s²)*34 m)
⇒ vi = 25.28 m/s