PLEASE ANSWER! BRAINLIEST INCLUDED! 35 POINTS! <br> LINK BELOW!

What is 8 - 4x = 20 !!!

guapka [62]

Answer:

x = -3

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

There are 4 white and 5 red (indistinguishable) balls in a bag. Suppose you draw one ballout at a time without replacement and s

Alchen [17]

Answer:

5/9

Step-by-step explanation:

What we have in this question are four white balls and 5 red balls.

This is the sample space

[(4w,0R) (4w,1R)(4w,2R)(4w,3R)(4w,4R)(0w,5R)(1w,5R)(2w,5R)

So we have 9 possible sets of events

The event number with the last ball being white = 5

Probability of the last ball drawn being white = 5/9

= 0.56

5 0

2 years ago

The computer center at Dong-A University has been experiencing computer down time. Let us assume that the trials of an associate

Schach [20]

Answer:

(a)0.16

(b)0.588

(c) $[s_1$ s_2]=[0.75,$ 0.25]$

Step-by-step explanation:

The matrix below shows the transition probabilities of the state of the system.

$\left(\begin{array}{c|cc}&$Running&$Down\\---&---&---\\$Running&0.90&0.10\\$Down&0.30&0.70\end{array}\right)$

(a)To determine the probability of the system being down or running after any k hours, we determine the kth state matrix $P^k$ .

(a)

$P^1=\left(\begin{array}{c|cc}&$Running&$Down\\---&---&---\\$Running&0.90&0.10\\$Down&0.30&0.70\end{array}\right)$

$P^2=\begin{pmatrix}0.84&0.16\\ 0.48&0.52\end{pmatrix}$

If the system is initially running, the probability of the system being down in the next hour of operation is the $(a_{12})th$ entry of the P^2$ matrix.$

The probability of the system being down in the next hour of operation = 0.16

(b)After two(periods) hours, the transition matrix is:

$P^3=\begin{pmatrix}0.804&0.196\\ 0.588&0.412\end{pmatrix}$

Therefore, the probability that a system initially in the down-state is running

is 0.588.

(c)The steady-state probability of a Markov Chain is a matrix S such that SP=S.

Since we have two states, $S=[s_1$ s_2]$

$[s_1$ s_2]\left(\begin{array}{ccc}0.90&0.10\\0.30&0.70\end{array}\right)=[s_1$ s_2]$

Using a calculator to raise matrix P to large numbers, we find that the value of $P^k$ approaches [0.75 0.25]:

Furthermore,

$[0.75$ 0.25]\left(\begin{array}{ccc}0.90&0.10\\0.30&0.70\end{array}\right)=[0.75$ 0.25]$

The steady-state probabilities of the system being in the running state and in the down-state is therefore:

$[s_1$ s_2]=[0.75$ 0.25]$

4 0

3 years ago

An amusement park is open for 15 hours a day, 7 days a week

sertanlavr [38]

Answer:

The domains are;

0 < x < 3 for f(x) = 15

3 ≤ x ≤ 7 for f(x) = 22

7 < x ≤ 15 for f(x) = 30

Step-by-step explanation:

The duration the amusement park is opened, t = 15 hours

The number of days the amusement is opened = 7 days a week

The prices for the admission are;

x < 3 hours = $15

3 ≤ x ≤ 7 hours = $22

x > 7 hours = $30

The functions are;

f(x) = 15 when x < 3; The domain = 0 < x < 3

f(x) = 22 when 3 ≤ x ≤ 7; The domain = 3 ≤ x ≤ 7

f(x) = 30 when x > 7; The domain = 7 < x ≤ 15.

3 0

3 years ago

The length of a rectangle is 1 cm less than three times the width. If the perimeter of the rectangle is 46 cm find the length an

e-lub [12.9K]

Answer:

Length = 17, Width = 6

Step-by-step explanation:

Let the length be L and width be W.

L = 3W - 1 , and,

2(L + W) = 46 => L+W = 23 => L = 23 - W, putting this into L = 3W - 1

23 - W = 3W - 1

24 = 4W

W = 6

therefore, L = 23 - W = 17

4 0

2 years ago

PLEASE ANSWER! BRAINLIEST INCLUDED! 35 POINTS! LINK BELOW!