First, we calculate for the volume of each can by using the equation,
V = πr²h
Substituting the known values,
V = π(1.5 in)²(6 in) = 42.39 in³ (that is if 3.14 is used in replacement of π)
Then, we multiply the volume by 36.
total volume = (42.39 in³)(36) = 1526.04 in³
1) x+y=302x+9y=172x=-y+30-2y+60+9y=1727y=112y=16x=14
14 2-point questions and 16 9-point questions
2) c+a=163
6c+13a=1566
c=-a+163
-6a+976+13a=1566
7a=588
a=84
c=79
84 adult tickets and 79 children tickets
3) a+c=15; ax+cy=132
8+7=15; 8x+7y=132
a+c=9; ax+cy=72
4+5=9; 4x+5y=72
8x+7y=132
4x+5y=72
(8x+10y)=(144)
8x=-7y+132
8x=-10y+144
-7y+132=-10y+144
3y=12
y=4
4x+20=72
4x=52
x=13
The price for an adult ticket is $13 and the price for a child ticket is $4
Answer:
Step-by-step explanation:
Using central Limit Theorem (CLT), The sum of 100 random variables;
is approximately normally distributed with
Y ~ N (100 × ) = N ( 50, )
The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;
N ( 50, )
Using Chebyshev's inequality:
Let assume that X has a symmetric distribution:
Then:
where: ()