If the 10-gram marble is going faster it is possible that the momentum of the marble will make if go farther than the 100-gram marble
First, you need to put them in order
53kg, 55kg, 61kg, 61kg, 76kg, 91kg, 98kg, 105kg, 120kg
For mean, you add them all up and divide by the amount of numbers (9)
720/9 = 80
For median, you find the middle number (76kg)
For mode, you find the number that appears the most (61kg)
Mean: 80
Median: 76
Mode: 61
Answer:
a) 10/3
b) hyperbola
c) x = ± 6/5
Step-by-step explanation:
a) A conic section with a focus at the origin, a directrix of x = ±p where p is a positive real number and positive eccentricity (e) has a polar equation:
Given the conic equation: 
We have to make it to be in the form :
Comparing with
e = 10/3 = 3.3333, p = 6/5
b) since the eccentricity = 3.33 > 1, it is a hyperbola
c) The equation of the directrix is x = ±p = ± 6/5
First, let's find out the equivalent amount of one-sixth of the total length of 8 ft.
Length of cut = 8(1/6) = 4/3 ft
So, the remaining length would be:
Remaining length = 8 ft - 4/3 ft = 20/3 ft or that's 6 and 2/3 ft.
Since there are 12 inches in 1 ft:
2/3 ft * 12 in/ft = 8 inches
Thus, the remaining length is 6 ft and 8 inches.
Answer: $1800
The theater income will be the total of audience multiplied by the ticket cost. To answer this question, you need to determine the total audience count. Assuming all the seats are occupied then:
Total audience= row of seats x seats/ row = 20x18 people = 360 people
After that the income would be:
Income = audience x ticket cost
Income= 360 people x $5 / people= $1800
