The Probabilty of rolling a 1 on a 6 sided biased dice is 0.85
1 answer:
Answer:
false
Step-by-step explanation:
This statement is false. There are a total of 6 sides on a six-sided die therefore, every roll is a one in six chance of getting a single number since only one number can be obtained per roll. So that would mean that the probability is
or 0.16666 or 16.66%
That would be the actual probability of rolling a 1 on a single roll of a six-sided die, not 0.85
You might be interested in
Answer :
The amount after 1000 years will be, 5.19 grams.
The amount after 10000 years will be, 0.105 grams.
Step-by-step explanation :
Half-life = 1599 years
First we have to calculate the rate constant, we use the formula :
Now we have to calculate the amount after 1000 years.
Expression for rate law for first order kinetics is given by:
where,
k = rate constant =
t = time passed by the sample = 1000 years
a = initial amount of the reactant = 8 g
a - x = amount left after decay process = ?
Now put all the given values in above equation, we get
Thus, the amount after 1000 years will be, 5.19 grams.
Now we have to calculate the amount after 10000 years.
Expression for rate law for first order kinetics is given by:
where,
k = rate constant =
t = time passed by the sample = 10000 years
a = initial amount of the reactant = 8 g
a - x = amount left after decay process = ?
Now put all the given values in above equation, we get
Thus, the amount after 10000 years will be, 0.105 grams.
Answer:
The set of polynomial is Linearly Independent.
Step-by-step explanation:
Given - {f(x) =7 + x, g(x) = 7 +x^2, h(x)=7 - x + x^2} in P^2
To find - Test the set of polynomials for linear independence.
Definition used -
A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant.
The set is dependent if the determinant is zero.
Solution -
Given that,
f(x) =7 + x,
g(x) = 7 +x^2,
h(x)=7 - x + x^2
Now,
We can also write them as
f(x) = 7 + 1.x + 0.x²
g(x) = 7 + 0.x + 1.x²
h(x) = 7 - 1.x + 1.x²
Now,
The coefficient matrix becomes
A =
Now,
Det(A) = 7(0 + 1) - 1(7 - 7) + 0
= 7(1) - 1(0)
= 7 - 0 = 7
⇒Det(A) = 7 ≠ 0
As the determinant is non- zero ,
So, The set of polynomial is Linearly Independent.