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: (
)
The property the applies only to addition and multiplication is the commutative property. It means that the numbers can be arranges in any order. so for example you will get the same answer whether you do
5+6 or 6+5
Answer:
x = 4/3
Step-by-step explanation:
Direct variation:
y = kx
We use the given x-y point to find k.
6 = k * 2/3
k = 6 * 3/2
k = 9
The equation is
y = 9x
For y = 12,
12 = 9x
x = 12/9
x = 4/3
Answer:
Step-by-step explanation:
We are given the function:
We want to find f(3), so we must substitute 3 in for x.
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Solve the exponent first.
Multiply 8 and 3.
Add.
For the function given, f(3) is 30.
Answer:
28
Step-by-step explanation:
