Answer: D
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
Answer:
positive, real, irrational, algebraic
Step-by-step explanation:
Numbers are categorized various ways. Some categories include ...
prime, composite
real, complex
integer, rational, irrational
whole number, natural number
positive, negative, zero
algebraic, non-algebraic*
√23 is the positive, real, irrational root of a prime number. It is an algebraic number.
_____
* An algebraic number is a root of a polynomial with integer coefficients.
√23 is a root of x^2 -23 = 0.
Answer:
The probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.
Step-by-step explanation:
We have 10 possible outcomes on a single throw.
So, outcomes in 3 throws =
outcomes.
Let x be the number of strictly increasing arrangements.
Let y be the number of strictly decreasing arrangements.
Let z be the number of outcomes that are neither strictly decreasing nor strictly increasing
So, we have 
If we look at a strictly increasing arrangement from the other/opposite side, it will look like a strictly decreasing arrangement.
So, x = y
Hence, we can say the final equation will be :

And for strictly increasing arrangements ,all 3 numbers will be different and it can be done in 10C3 ways.
10C3=
= 120 ways
So, 
Thus 
So, the probability is = 
Therefore, the probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.
The average rate of change, of the function, between the intervals, x = 2 to x = 6 is: 180.
<h3>What is the Average Rate of Change of a Function?</h3>
Average rate of change =
.
Given the function,
,
The average rate of change using the intervals of, x = 2 to x = 6 would be solved as shown below:
a = 2
b = 6
f(a) =
= 34
f(b) =
= 754
Average rate of change = 
Average rate of change = 180
Therefore, the average rate of change, of the function, between the intervals, x = 2 to x = 6 is: 180.
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