Two machines are available to perform a task, each can be either in operational or nonoperational condition. Every day one of the operational machines will be used and there is a 10% chance that it will break. Assume that if a machine breaks during the day, the task fails and is not resumed until the next day. If there is a nonoperational machine at the beginning of the day there is a 60% probability that it will be repaired by the end of the day. Only one machine can be repaired in one day.

Requried:
Model this system as a Markov chain: clearly describe the states and give the transition matrix.

Answer: Well, the ratio is 2.5, so that, I think.

Step-by-step explanation:

Answer:

The number is 17.

Step-by-step explanation:

Let x be the unknown number.

4 times the sum of a number plus 7 would be

4x + 7

44 less than the unknown number (x) would be

x - 44

Now we connect everything.

4x + 7 = x - 44

4x - x = -44 - 7

3x = -51

x = -17

The algebraic representation of the expression is 4(x + 7)  = x - 44

From the question, we have the following parameters that can be used in our computation:

four times the sum of a number and 7 is 44 less than the number

By definiton:

Sum means plus

Less than means minus

Using the above as a guide, we have the following:

4 * (x + 7) = x - 44

So, we have

4(x + 7)  = x - 44

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Answer:

y=2x+7

Step-by-step explanation:

find (-5,-3)

use the slope to find the y intercept

intercept is (0,7)

use formula y=mx+b to plug in numbers

(slope is m and y intercept is b)

y=mx+b

y=2x+7

Answer:

D. 1/36

Step-by-step explanation:

yeah-ya.... right?

Answer:

[tex]15.2~mph[/tex]

Step-by-step explanation:

Let the time flown by the flying carpet be [tex]t[/tex]. Then, we have that [tex](2.4)/t=(1.4)/t+2*4[/tex].

We multiply both sides of the equation by [tex]t[/tex] to get [tex]2.4=1.4+8t[/tex].

We subtract [tex]1.4[/tex] from both sides to get [tex]1=8t[/tex].

We divide both sides of the equation by [tex]t=1/8[/tex].

We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.

The speed with wind is [tex](2.4)/(1/8)=19.2[/tex]mph.

The speed against wind is [tex](1.4)/(1/8)=11.2[/tex]mph.

The speed in still wind is [tex](19.2+11.2)/2=(30.4)/2=15.2[/tex].

Therefore, the answer is [tex]\boxed{15.2~mph}[/tex] and we're done!

The speed of the flying carpet in still air is 15.2 mph

Let x represent the speed of the flying carpet in still air, and t represent the time.

Speed = distance/time

Since the wind speed is 4 mph, hence:

When flying with the wind:

x + 4 mph = 2.4/t     (1)

When flying against the wind:

x - 4 mph = 1.4/t     (2)

Dividing equation 1 by 2 gives:

(x + 4) / (x - 4) = 2.4/1.4

1.4x + 5.6 = 2.4x - 9.6

x = 15.2 mph

The speed of the flying carpet in still air is 15.2 mph

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The distance between two points with the given coordinates in space is;

Distance = 17 units

We are given the coordinates;

(32, 12, 5)

(20, 3, 13)

d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

From the equation given to us, we can see that;

x₁ = 32

x₂ = 20

y₁ = 12

y₂ = 3

z₁ = 5

z₂ = 13

d = √((20 - 32)² + (3 - 12)² + (13 - 5)²)

d = √(144 + 81 + 64)

d = √289

d = 17

Thus, the distance between the two points is 17 units

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Answer:

[tex]5 {x}^{2} + 3 {x}^{2} + 6x = 3x - 6x + 9x \\ 8 {x}^{2} + 6x = - 3x + 9x \\ 8 {x}^{2} + 6x = 6x \\ 8 {x}^{2} = 6x - 6x \\ 8 {x}^{2} = 0 \\ x = 0 \\ thank \: you[/tex]

Answer:

Step-by-step explanation:

Answer:

1.4953

Step-by-step explanation:

You will need to break down 4.5

4√5

1.4953

Answer:

Domain : R−{−1,3}

Range: R

Step-by-step explanation:

Equate the denominator(x2−2x−3) to zero, then solve the equation for x

→x2−2x−3=0

→x=−(−2)±√(−2)2−4⋅(1)⋅(−3)2⋅1

→x=1±2

⇒x=−1 and x=3

This means that, when x=−1 or 3, we have the x2−2x−3=0

Implying that f(x)=x0 which is undefined.

Hence, the domain is all real numbers except −1

and 3

Also written as Df=(−∞,−1)∪(−1,3)∪(3,+∞)

Answer:

brown = 6 pairs

Step-by-step explanation:

3/5 = brown

2/5 = black

Ratio black brown therefore = 2 : 3

package 10 therefore = 4 : 6

brown = 6 pairs

y = -4, -3, -2, -1, 0, 1

Step-by-step explanation:

-5 < y < 2

y = -4, -3, -2, -1, 0, 1

-5 < -4, -3, -2, -1, 0, 1 < 2 ☑

Answer:

k=(1000-600)/(0-10)=-40

Step-by-step explanation:

K is the slope

Answer:

1) 1050 ft squared

2) 200 yards

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

-1

Step-by-step explanation:

F(x - 1) = 2x + 3.

 Rewrite the right side (2x + 3)

F(x - 1) = 2[ x ] + 3

F(x - 1) = 2[ x - 1 + 1 ] + 3  =  2 [ (x - 1) + 1 ]   + 3

=  2 (x - 1) + 2 + 3

=  2(x - 1) + 5

replace "x - 1" with "-3" :

F(-3)   =     2(-3) + 5  =  -1

Answer:

It is C

Step-by-step explanation:

The square root of 61 is 7.81024967591 so it is an irrational number.

Answer:

the difference is 429

Step-by-step explanation:

you round 689.7 to 690 the minus that by 261, then you get 429.

Answer:

429

Step-by-step explanation:

689.7 - 261 = 428.7

answer approximated is 429

Answer:

Step-by-step explanation:

Given equation:

Cross multiply and simplify:

or

Correct choice is C

[tex]\\ \sf\longmapsto \dfrac{x}{5}=\dfrac{x^2}{4x+2}[/tex]

[tex]\\ \sf\longmapsto x(4x+2)=5x^2[/tex]

[tex]\\ \sf\longmapsto 4x^2+2x=5x^2[/tex]

[tex]\\ \sf\longmapsto x^2-2x=0[/tex]

[tex]\\ \sf\longmapsto x(x-2)=0[/tex]

[tex]\\ \sf\longmapsto x=0\:or\:x=2[/tex]

Answer:

(1-sin(x))/(1+cos(x)) = (csc(x) - 1)(csc(x) - cot(x))

Step-by-step explanation:

(1 - sin(x)) / (1+cos(x)) =

[ (1-sin(x))/ (1+cos(x)) ] * (1-cos(x))/(1-cos(x)) =

(1-sin(x))(1-cos(x)) / (1 - cos^2(x)) =  

(1-sin(x))(1-cos(x)) / (sin^2(x)) =

[ (1-sin(x)) / sin(x) ] * [ (1 - cos(x)) / sin(x) ] =

(csc(x) - 1)(csc(x) - cot(x))

Answer:

The answer is 5

Step-by-step explanation:

Since we already know what x we can just substitute it.

5(8)-2y=30

5 times 8 is 40

40-2y=30

Subtract 40 on both sides:

-2y=-10

Divide -2 on both sides:

y=5

Hope this helps!

And who is your bias for BTS?

(Edit) answer is 5 I guess

Answer:

g=11

Step-by-step explanation:

What I did was Isolate the variable by dividing each side by factors that don't contain the variable.

Set the equation equal to zero and factor the left side.

The factor answer would be 2(−g+11)=0

Answer:

15

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

you would have to find the square root of 225 and this is 15 so if you do 15x15 you will get 225

and if you need to find the perimeter you add up all the sides

15x4=60

The perimeter of a square is 60

1 side length of a square: 15

Hope this helped :)

Answer:

140% is 140/100 = 7/5 is fraction

Answer:

99

Step-by-step explanation:

33x3=99

Answer:

44

Step-by-step explanation:

4-1=3 (4 times minus what was original which is 1u)

3u=33

1u=33÷3=11

4u=11x4=44

Hope this helps! Thanks.

Step-by-step explanation:

7.1

7⅒(C).

hope this helps you.

Answer:

If I'm not mistaked the mean should be bumbed up by five.

Step-by-step explanation:

We need mean .

Let's use python .

Program attached

Answer:

[tex]{ \rm{mean = \frac{ \sum(fn)}{n} }} \\ [/tex]

• substitute and solve:

[tex]{ \rm{mean = \frac{112 + 114 + 115 + 120 + 122 + 290}{6} }} \\ \\ { \rm{mean = \frac{873}{6} }} \\ \\ { \boxed{ \rm{ \: center = 145.5 \: }}}[/tex]

Answer:

35 cents per 1oz

Step-by-step explanation:

there is a slope of 1 so the cost of 1 oz is equal to (1,1)