Answer:
-30
Step-by-step explanation:
10 - 30 is not possible they owe
Answer:
8x³ - 25x² - 3x + 18
Step-by-step explanation:
(2x + 3)(4x²- 5x + 6)
multiply 2x by each of the three terms in the second expression to get:
8x³ - 10x² + 12x
now multiply 3 by each of the three terms in the second expression to get:
12x² - 15x + 18
Combine 'like terms': -10x² + (-15x²) = -25x²
Combine 'like terms': 12x + (-15x) = -3x
Put all terms in decreasing exponent order:
8x³ - 25x² - 3x + 18
Answer:
The probability that it will choose food #2 on the second trial after the initial trial = 0.3125
Step-by-step explanation:
Given - A lab animal may eat any one of three foods each day. Laboratory records show that if the animal chooses one food on one trial, it will choose the same food on the next trial with a probability of 50%, and it will choose the other foods on the next trial with equal probabilities of 25%.
To find - If the animal chooses food #1 on an initial trial, what is the probability that it will choose food #2 on the second trial after the initial trial?
Proof -
By the given information, we get the stohastic matrix
As we know that,
The matrix is a Markov chain
Let
The initial state vector be
we choose this initial vector because given that If the animal chooses food #1 on an initial trial.
Now,
∴ we get
Now,
∴ we get
∴ we get
The probability that it will choose food #2 on the second trial after the initial trial = 0.3125
Answer:
Length of side AB = 5
Step-by-step explanation:
A regular polygon is one in which all angles are equal and all the sides have the same length.
Now, it means that;
AB = BC = CD = DE = AE
We are told that BC is represented by 3x - 4 while DE is represented by the expression 4x - 9.
Thus, from equal length of sides of a regular polygon, we have;
3x - 4 = 4x - 9
4x - 3x = 9 - 4
x = 5
Thus, length of BC = 3(5) - 4 = 15 - 4 = 11
Therefore, Length of AB = 5
Answer:
2
Step-by-step explanation:
(-5-1)/(1-4) = -6/-3 = 2