Answer:
The domain of P is given by,
{n | n ∈ N, 2 ≤ n ≤ 12}
Step-by-step explanation:
A perfect die is perfectly cubic in shape with one of the integers 1,2,3,4, 5 or 6 in each of it's 6 faces and the digits on any two faces are different.
Now, two dice are rolled and P(n) models the probability of the event that the sum on the faces of the two dice is n.
Hence, the domain of P is given by,
{n | n ∈ N, 2 ≤ n ≤ 12}
Answer:
0.29p + 1.59 = 5.07 where p represents the number of pens
Step-by-step explanation:
First we need to find out what kind
of logarithm rule is given, the given is logarithm product rule which states
that a log of a product is equal to the sum of the log of the first base and
the log of the second base.
By:
= log (1.37 x 10⁹) =
log (1.37) + log (10⁹)
= log (1.37) + 9
= 9 + log (1.37)
In the meantime, 1.37 is between
1 and 10 its logarithm will be between 0 and 1. Thus, the value of log (1.37 x 10⁹)
falls between 9 and 10 because when you compose a scientific notation you will
always have a number among 1 and 10 by 10 to some power. That power tells you
the integer part of the logarithm.
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a, b, c - side lengths (a ≤ b ≤ c)
If 
, then is Obtuse triangle.
If 
, then is Right triangle.
If 
, then Acute triangle.
Check to see if the sum of the first two sides is greater than the third.
, therefore is Scalene triangle.
It's Obtuse triangle.
Answer:
0.00
Step-by-step explanation:
If the national average score on a standardized test is 1010, and the standard deviation is 200, where scores are normally distributed, to calculate the probability that a test taker scores at least 1600 on the test, we should first to calculate the z-score related to 1600. This z-score is 
, then, we are seeking P(Z > 2.95), where Z is normally distributed with mean 0 and standard deviation 1. Therefore, P(Z > 2.95) = 0.00
