What is the value of x? A.31 B.41 C.29 D.60

Dianna runs a race of 2 miles in 8 minutes at a steady speed. Each mile she runs beyond 2 miles, her speed slows 1 mile a minute

Tamiku [17]

Okay: We know that 2 Miles takes her 8 minutes. Every mile after that we add a minute. Let’s put that into a sequence:

4,8,13,19,26

We add an extra minute every mile after 8 minutes. +5,+6,+7

26 is your answer.

I hope this helps!
~kaikers

7 0

2 years ago

Let P = 0.50.30.50.7 be the transition matrix for a Markov chain with two states. Let x0 = 0.50.5 be the initial state vector fo

pav-90 [236]

Answer:

Probability distribution vector = $\left(\begin{array}{c}0.375\\ 0.625 \end{array} \right)$

Step-By-Step Explanation

If $P=\left(\begin{array}{cc}0.5&0.3\\ 0.5&0.7 \end{array} \right)$ is the transition matrix for a Markov chain with two states.

$x_{0}=\left(\begin{array}{c}0.5\\ 0.5 \end{array} \right)$ be the initial state vector for the population.

$X_{1}=P x_{0}=\left(\begin{array}{cc}0.5&0.3\\ 0.5&0.7 \end{array} \right) \left(\begin{array}{c}0.5\\ 0.5 \end{array} \right) =\left(\begin{array}{c}0.4\\ 0.6 \end{array} \right)$

$X_{2}=P^{2} x_{0}=\left(\begin{array}{c}0.38\\ 0.62 \end{array} \right)$

$X_{3}=P^{3} x_{0}=\left(\begin{array}{c}0.38\\ 0.62 \end{array} \right)$

$X_{30}=P^{30} x_{0}=\left(\begin{array}{c}0.37499\\ 0.625 \end{array} \right)$

In the long run, the probability distribution vector Xm approaches the probability distribution vector $\left(\begin{array}{c}0.375\\ 0.625 \end{array} \right)$ .

This is called the steady-state (or limiting,) distribution vector.

4 0

2 years ago

Use the grouping method to factor this polynomial completely 4x^3+8x^2+3x+6

mart [117]

Answer:

Final answer is $(4x^2+3)(x+2)$ .

Step-by-step explanation:

Given expression is $4x^3+8x^2+3x+6$ .

Now we need to factor that by the method of grouping.

So make two groups having first two terms and then last two term.

Factor each group then factor once more.

$=4x^2(x+2)+3(x+2)$

$=(4x^2+3)(x+2)$

It can't be factored anymore so the final answer is $(4x^2+3)(x+2)$ .

5 0

2 years ago

Let (3x+24) represent the measure of an obtuse angle. what are the possible values of x?

Fofino [41]

An obtuse angle is an angle with more than 90 degrees and less than 180. so, we can add < 180 and > 90 to the expression, making it the inequality 180 < 3x + 24 > 90. we then solve.

3x + 24 > 90 and 3x + 24 < 180
3x > 66 and 3x < 156
x > 22 and x < 52

so x can be anything more than 22 and less than 52 (it cannot be 52 or more or 22 or less)

hope this helps!

3 0

2 years ago

Which graph cannot be used to show how many students saw a dentist on May 14

Svet_ta [14]

Answer:

idk i cant see a graph

4 0

2 years ago