Answer:
Step-by-step explanation:
y = x² - 7
Add 7 to both sides.
y + 7 = x²
Take square root on both sides.
±√(y + 7) = x
Switch variables.
±√(x + 7) = y
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:
The least whole number is the number 1
Step-by-step explanation:
we have
Remember that
<u>Whole numbers</u> are positive numbers, including zero, without any decimal or fractional parts [0,1,2,3,4,5,6,...]
so
Solve the inequality for x
Divide both sides by 400
Rewrite
therefore
The least whole number is the number 1
Answer: girl
Step-by-step explanation: I think that you’re a girl because usually I would say boy, but then they say, “Nope!”, do I think this is a really trick question because this can describe either a boy or a girl.
Answer:
y^3
Step-by-step explanation:
x^3 y^3 and y^4
<u>y^3 </u> * x^3 and <u> y^3</u> * y