Consider a Markov chain defined by the below transition matrix. What is its steady state? [ 1/3 2/3 1/5 4/5]
a. [1/3 2/3] b. [1/5 4/5] C. (10/13 3/13] d. [3/13 10/13]

Answer:

$2.80

Step-by-step explanation:

23.60 - 12.40 = 11.2

11.2 ÷ 4 = 2.80

$2.80

The composition f(4) has a value of -27

The definition of the functions is given as

f(x) = -2x^2 + 5

Rewrite the above function properly

So, we have the following representation

f(x) = -2x² + 5

To find the function f(4), we set the value of x in the equation f(x) = -2x² + 5

This is represented by

Calculate f(x), when x = 4

Substitute 4 for x in the equation f(x) = -2x² + 5

So, we have the following equation

f(4) = -2(4)² + 5

Evaluate the exponents

This gives

f(4) = -2 * 16 + 5

Evaluate the products

This gives

f(4) = -32 + 5

Evaluate the sum

f(4) = -27

Hence, the value of the function is -27

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Answer:

the surface area of the cylinder with height 6 cm and radius 8 cm is approximately 703.968 square centimeters.

Step-by-step explanation:

The surface area of a cylinder can be found by adding the area of the circular bases and the lateral area (the area of the curved side).

The formula for the lateral area of a cylinder is given by: Lateral area = 2πrh, where r is the radius of the cylinder and h is the height.

The formula for the area of a circle is given by: Area = πr^2, where r is the radius of the circle.

Using these formulas and the given values, we can find the surface area of the cylinder:

Lateral area = 2πrh = 2π(8)(6) = 96π

Area of the circular base = πr^2 = π(8^2) = 64π

Total surface area = 2(Area of circular base) + Lateral area = 2(64π) + 96π = 224π

Rounding to the nearest thousandth, we get:

Total surface area ≈ 703.968 square centimeters

Therefore, the surface area of the cylinder with height 6 cm and radius 8 cm is approximately 703.968 square centimeters.

Answer:

Below in bold.

Step-by-step explanation:

A = value of y when x = -1:

A = -2(-1)^2 + 4(-1) + 9

   = -2*1 - 4 + 9

   = -2 - 4 + 9

   = 3.

B = value of y when x = 2:

B = -2(2)^2 + 4(2) + 9

   = -2*4 + 8 + 9

   = - 8 + 8 + 9

    = 9.

Answer:

D.)

Step-by-step explanation:

In order to solve you would need to first get the number with the variable by itself. So first we'd need to add 5 to the other side and we would add it bc when we move a number over the equals sign (which is what were considering the greater than sign to solve)

Answer:

B

Step-by-step explanation:

the sum of the 3 angles in a triangle is 180° , so

∠ c + 56° + 38° = 180°

∠ c + 94° = 180° ( subtract 94° from both sides )

∠ c = 86°

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

The probability of 1. Favorite fruit is apple: 25/120 2. Favorite fruit is orange or grapes is 0. 458 3. Favorite fruit is apple and orange is 0.026 4. Favorite fruit is banana is 1/3.

Probability is a way to gauge how likely something is to happen. It is stated as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty of the event.

The probability of an occurrence can be determined by dividing the number of possible outcomes by the number of ways the event could occur.

From the given bar graph we see that the total number of fruits are:

25 + 15 + 20 + 40  = 120

Now,

1. Favorite fruit is apple:

25/120

2. Favorite fruit is orange or grapes:

15/120 + 40/120 = 0.125 + 0.333 = 0. 458

3. Favorite fruit is apple and orange:

(25/120) (15/120) = 0.026

4. Favorite fruit is banana:

40/120 = 1/3

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Answer:

slope: 4/12

Simplified to: 1/3

Negative slope so: -1/3

Y intercept:4

Form: Y=mx+b

Y=-1/3x+4

Answer:

what?

Step-by-step explanation:

hansnskekkwkwnw

Answer:

X=-2

Step-by-step explanation:

1. Open up the brackets

You then get

6+8x+12=2

2. Send the whole numbers to the other sides

8x= 2-6-12

8x = - 16

3. Divide both sides by 8 to leave x alone

X=-2

The area of the given figure is 27.5 square centimeter which has a rectangle and triangles

The given figure has a rectangle and triangles

The area of rectangle is length times width

Area of rectangle =5×4

=20 square centimeter

Area of triangle =1/2×base×height

=1/2×2.5×3

=7.5/2

=3.75 square centimeter

As there are two triangle = 2(3.75)

=7.5 square centimeter

Total area = 7.5+ 20

=27.5 square centimeter

Hence, the area of the given figure is 27.5 square centimeter

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Answer: 3 x 5 x 13

Step-by-step explanation:

195 / 5 = 39

39/3 = 13

So...

3 x 5 x 13

Answer:

5*3*13

Step-by-step explanation:

195

5*39

5*3*13

Answer:

\(\textsf{B)} \quad f(x) = 5 \sin (16x) + 7}\)

Step-by-step explanation:

The sine function is periodic, meaning it repeats forever.

\(\boxed{f(x) = A \sin (B(x + C)) + D}\)

where:

Given values:

Calculate the value of B:

\(\dfrac{2\pi}{B}=\dfrac{\pi}{8}\implies 16\pi=B\pi\implies B=16\)

Substitute the values of A, B C and D into the standard formula:

\(f(x) = 5 \sin (16(x + 0)) + 7\)

\(f(x) = 5 \sin (16x) + 7\)

Therefore, the sine function with an amplitude of 5, a period of π/8, and a midline at y = 7 is:

\(\Large\boxed{\boxed{f(x) = 5 \sin (16x) + 7}}\)

Answer:

She has 1008 oranges left.

Step-by-step explanation:

Haryati has 1250 oranges.

She gives 242 away.

1250-242 = 1008

Therefore, she has 1008 oranges left.

Answer:

Step-by-step explanation:

On solving the provided question, we can say that - by the help of unitary method the value of 9 units will be

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

cost for the 12 classes = $72

cost of 1 unit = $6

cost of 9 units = $54

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when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.

The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.

In mathematical terms, when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.

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Answer:

Step-by-step explanation:

Hello!

The objective is to test the claim that less than 41% of the publisher's readers own a laptop.

To do so, a sample of 320 readers was taken and the proportion of readers that own a laptop resulted in 36%

Be X: number of readers that own a laptop.

X~Bi(n;p)

n=320

Sample proportion p'= 0.36

The hypotheses are:

H₀: p ≥ 0.41

H₁: p < 0.41

α: 0.05

\(Z=\frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }\)≈N(0;1)

\(Z_{H_0}=\frac{0.36-0.41}{\sqrt{\frac{0.41(1-0.41)}{320} } }= -1.82\)

This test is one-tailed to the left, meaning, that you'll reject the null hypothesis to small values of Z, there is only one critical value that defined the rejection region:

\(Z_{\alpha }= Z_{0.05}= -1.645\)

The decision rule is:

If \(Z_{H_0}\) ≤ -1.645, reject the null hypothesis.

If \(Z_{H_0}\) > -1.645, do not reject the null hypothesis.

The calculated value is less than the critical value, then the decision is to reject the null hypothesis.

So at a 5% significance level, the test is significant. You can conclude that the population proportion of the publisher's readers that own a laptop is less than 41%.

I hope this helps!

Answer:

y=5x-9

Step-by-step explanation:

You want to find the equation for a line that passes through the point (1,-4) and has a slope of 5.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 5. So you can right away fill in the equation for a line somewhat to read:

y=5x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(1,-4). When x of the line is 1, y of the line must be -4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (1,-4).

So, why not plug in for x the number 1 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(1,-4). y=mx+b or -4=5 × 1+b, or solving for b: b=-4-(5)(1). b=-9.

The equation of the line that passes through the point (1,-4) with a slope of 5

is

y=5x-9

Answer:

2000000

Step-by-step explanation:

20 x 100,000

Answer:

2000000 or 2×10^6

Step-by-step explanation:

\(20\times 10^5\\\\10^5=100000\\\\=20\times \:100000\\\\=2000000\\or \\2\times 10^6\)

Answer:

A. 1.725 L

B. 0.0775 L or 775 mL

Step-by-step explanation:

Part A

↓ Determine the liters of juice Rachel used ↓

750 + 650 +325 = 1,725

Rachel used 1,725 mL of juice. Convert the given mililiters to liters.

\(1725 \: ml \: \times \frac{1liter}{1000 \: ml} = 1.725 \: liters\)

→ Rachel used 1.725 L of juice

Part B.

Determine the amount of sparkling water added to the punch bowl.

2.5 - 1.725 = 0.775 L

0.775 L was added tot he punch bowl. Convert liters to milliliters. ↓

\(0.775 \: \times \frac{1000 \: ml}{1 \: liters} = 775 \: ml\)

Therefore, the answer is:

1.725 L & 775 mL

Answer: b

Step-by-step explanation: 19 x 3 = 57 & 12 x 3= 36 so subtract 57 and 36 that’s going to give you 21 & 21 plus 6 is 27

Answer:

Its B

Step-by-step explanation:

The probability that an adult resident has 3 or more vehicles 0.54.

The probability of an adult resident having 3 or more vehicles is the sum of the probabilities associated with owning 3, 4, or 5 or more vehicles:

P(3 or more vehicles) = P(3) + P(4) + P(5 or more)

P(3 or more vehicles) = 0.38 + 0.13 + 0.03

P(3 or more vehicles) = 0.54

Therefore, the probability that an adult resident has 3 or more vehicles is 0.54.

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Mr. Cho received 3840 eggs in the beginning.

Let's assume that Mr. Cho received x eggs in the beginning.

In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.

In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.

At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:

3/4 × x = 2/3 × x - 320

Multiplying both sides by 12, we get:

9x = 8x - 3840

Simplifying, we get:

x = 3840

Therefore, Mr. Cho received 3840 eggs in the beginning.

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Answer:

353.48 is the smaller number. the difference between the smaller number and the bigger number is 68.09 so you add the two munbers. 421.67 is the other number.

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Evaluate the value of the expression:

Step 1: The mixed fraction will be converted to improper fraction

Step 2: The denominator of 8 will be used as the L.C.M, since it's the greatest of the two

Hence the correct answer = 1 3/8

The option that's not equivalent to 20% will be D. 4/16.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

It was illustrated that after counting and sorting them, she realized that 20% of the jelly beans were red

It should be noted that 20% is also 0.2, 1:5 and 10/50. On the other hand, 4/16 will be;

= 4/16 × 100

= 1/4 × 100

= 25%

In conclusion, the correct option is D.

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Answer:

100%

Step-by-step explanation:

There are no causes :)

Answer:

0≤ x ≤ 15

Step-by-step explanation:

or x = [0,15]

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