We know that
the radius is 65 ft
circumference of a circle=2*pi*r
for r=65 ft
circumference of a circle=2*pi*65-----> 130*pi ft
if 2*pi (full circle) has a length of----------------> 130*pi ft
x------------------------------------------> 92 ft
x=92*2*pi/(130*pi)----------> x=1.4154 radians-------> x=1.42 radians
the answer is
1.42 radians
i can barly read the image when i open it but, i think its d
Answer:
Simple random sampling method is used here.
Step-by-step explanation:
Given is that the evening host of a dinner dance reached into a bowl, mixed all the tickets around, and selected the ticket to award the grand door prize.
We can see that this is a simple random sampling method as every name on the ticket has an equal opportunity to get selected.
Answer:
The correct option is;
H. 32·π
Step-by-step explanation:
The given information are;
The time duration for one complete revolution = 75 seconds
The distance from the center of the carousel where Levi sits = 4 feet
The time length of a carousel ride = 5 minutes
Therefore, the number of complete revolutions, n, in a carousel ride of 5 minutes is given by n = (The time length of a carousel ride)/(The time duration for one complete revolution)
n = (5 minutes)/(75 seconds) = (5×60 seconds/minute)/(75 seconds)
n = (300 s)/(75 s) = 4
The number of complete revolutions - 4
The distance of 4 complete turns from where Levi seats = 4 ×circumference of circle of Levi's motion
∴ The distance of 4 complete turns from where Levi seats = 4 × 2 × π × 4 = 32·π.
Answer:
<h2>a) 1.308*10¹² ways</h2><h2>b)
455 way</h2>
Step-by-step explanation:
If there are 15 balls labeled 1 through 15 in a standard football game, the order of arrangement of the 15 balls can be done in 15! ways.
15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2
15! = 1.308*10¹² ways
b) If 3 of the 15 balls are to be chosen if order does not matter, this can be done in 15C3 number of ways. Since we are selecting some balls out of the total number of balls, we will use the concept of combination.
Using the combination formula nCr = n!/(n-r)!r!
15C3 = 15!/(15-3)!3!
15C3 = 15!/12!3!
15C3 = 15*14*13*12!/12!*6
15C3 = 15*14*13/6
15C3 = 455 ways
