The city of Eden completed a new light rail system to bring commuters and shoppers into the downtown area and relieve highway congestion. City planners estimate that each year, 15% of those who drive or ride in an automobile will change to the light rail system; 80% will continue to use automobiles; and the rest will no longer go to the downtown area. Of those who use light rail; 5% will go back to using an automobile, 80% will continue to use light rail, and the rest will stay out of the downtown area. Assume those who do not go downtown will continue to stay out of the downtown area. The transition matrix associated with this Markov chain is a.an absorbing stochastic matrix. b.a regular stochastic matrix.

Answer:

the probability of getting an even numbers out of this set is 1/2

Step-by-step explanation:

The set of numbers are: 10

1,2,3,4,5,6,7,8,9,10

Even Numbers: 5

2,4,6,8,10

Probability = [tex]\frac{NumberOfFavourableOutcomes}{TotalNumberOfOutcomes}[/tex]

P = [tex]\frac{Even Numbers}{Total Numbers}[/tex]

P = [tex]\frac{5}{10}[/tex]

P = [tex]\frac{1}{2}[/tex]

So, the probability of getting an even numbers out of this set is 1/2

Answer:

The probability of this set of numbers is 1/2.

Step-by-step explanation:

Probability is the odds of an event happening. It is expressed by writing it as a fraction, decimal, or a percent.

The formula for probability is the number of favorable outcomes divided by the total number of outcomes. In this case, we have odd and even numbers. The even numbers in this set are 2, 4, 6, 8, and 10.

These are the favorable outcomes.

Since there are 5 even numbers, there are 5 favorable outcomes.

There are total of 10 outcomes. Therefore P(Even number)= 5/10.

Don't forget to always simplify. You can divide the numerator and denominator by 5. 5 divided 5 is 1 and 10 divided by 5 is 2.

Therefore, the probability of choosing an even number from this set of numbers is 1/2.

I hope this helps, and I hope you enjoy the rest of your day!

Answer:

The composite figure is made up of a rectangular prism and  square pyramid

Step-by-step explanation:

The figure on top is square pyramid since the base is a square and the 4 sides are triangles.  The bottom is a rectangular prism since the figure is made up of side rectangular faces

Answer:

square pyramid

also the figure has 896 cm2

Answer:

G1 : 0.3(2000) = 600

G2: 0.2(2000) = 400

G3: 0.15(2000) = 300

G4: 2000/15=150

Answer:

Step-by-step explanation:3x-y=18

y=27

Therefore 3x-(27)=18

3x=18+27..Nb when the 27 is now being added instead of subtracted.

3x=45

3x/3=45/3 Nb the 3 is now being divided instead of being multiplied.

Therefore X=15

Answer:

[tex]\left(q-\dfrac{23}{2}\right)^2[/tex]

Step-by-step explanation:

Given the expression: [tex]q^2-23q[/tex]

To complete the square, we follow these steps:

Step 1: Identify the coefficient of q

Coefficient of q=-23

Step 2: Divide the coefficient of q by 2

[tex]=-\dfrac{23}{2}[/tex]

Step 3: Square your result from step 2 and add it to the equation

This gives us: [tex]q^2-23q+\left(-\dfrac{23}{2}\right)^2[/tex]

We have now completed the square.

Step 4: Write the result as a binomial square.

To write it as a binomial square, pick the variable and add the term in the bracket.

Therefore:

[tex]q^2-23q+\left(-\dfrac{23}{2}\right)^2=\left(q-\dfrac{23}{2}\right)^2[/tex]

The perfect square form of the given expression will be [tex](q-\dfrac{23}{2})^2[/tex].

The given expression is [tex]q^2-23q[/tex].

It is required to write the given expression as a perfect square polynomial or trinomial.

We will use the identity [tex](a+b)^2=a^2+2ab+b^2[/tex].

So, the first term from the given expression will be [tex]a=q[/tex].

To find the second term b, divide the 2nd term of the given expression by 2,

[tex]b=\dfrac{-23}{2}[/tex]

So, the given expression can be written in the perfect square form as,

[tex]a^2+2ab+b^2=q^2-23q+(\dfrac{-23}{2})^2\\=(q-\dfrac{23}{2})(q-\dfrac{23}{2})\\=(q-\dfrac{23}{2})^2[/tex]

Therefore, the perfect square form of the given expression will be [tex](q-\dfrac{23}{2})^2[/tex].

For more details, refer to the link:

https://brainly.com/question/18875994

Answer:

Step-by-step explanation:

(3/8)x - 9 + 4/5

40(3/8x - 9 + 4/5)

15x - 360 + 32

15x - 328

Answer:

3/8 x - 7 1/5

Step-by-step explanation:

3/4 (1/2 x - 12) + 4/5

3/8 x - 8 + 4/5

15/40 x - 8 x 32/40

15/40 x - 7 8/40

15/40 x - 7 1/5

3/8 x - 7 1/5

Answer:

The answer is option B

Step-by-step explanation:

I cant exactly explain it cus i dont remember but i know i got it right lol

but here goes

after she proves that AD is congruent to the other sides, all she has left to prove is ∠A≅∠B and AB≅BC.

'Tis how you get thine answer

(╯°□°）╯

Answer:

Option 1

Step-by-step explanation:

ABCD is a parallelogram, Julie wants to prove that ABCD is also a square.

Remember that a parallelogram has opposite sides equal.

So,

AB ≅ CD

AD ≅ BC

The 4 triangles are congruent. The bases of the triangles are vertically opposite to each other and are congruent. We can use the definition of a parallelogram to prove AB ≅ BC.

Answer:

20 pi (sign)

Step-by-step explanation:

khan answer trust me bro

Answer:

-30

Step-by-step explanation:

(3-5)4(2) – 16+ 2= -2*8-14= -16-14= -30

Answer:

85 + 35=120

Step-by-step explanation:

85 + 35= 120

85 - 35= 50

the difference is fifty

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

Health issues are a concern of managers, especially as they evaluate the cost of medical insurance. A recent survey of 150 executives at Elvers Industries, a large insurance and financial firm located in the Southwest, reported the number of pounds by which the executives were overweight. Compute the mean and the standard deviation.

Pounds Overweight Frequency

0 up to 6 14

6 up to 12 42

12 up to 18 58

18 up to 24. 28

24 up to 30. 8

Solution:

This is grouped data. We would determine the midpoint or class mark, x of each class by taking their averages.

The table would become

Class. x f fx

0 up to 6 (0+6)/2 = 3 14 42

6 up to 12 (6+12)/2 = 9 42 378

12 up to 18 (12+18)/2 = 15 58 870

18 up to 24 (18+24)/2= 21 28 588

24 up to 30 (24+30)/2 = 27 8 216

Summation f = 14 + 42 + 58 + 28 + 8 = 150

Summation fx = 42 + 378 + 870 + 588 + 216 = 2094

Mean = Summation fx/Summation f

Mean, m = 2094/150 = 13.96

Standard deviation = √summation of f(x - m)²)/(n - 1)

We would create another column on the table

f x x - m f(x - m)²

14 3 - 10.96 1681.7024

42 9 - 4.96 1033.2672

58 15 1.04 62.7328

28 21 7.04 1387.7248

8 27 12.04 1159.6928

Total = 5325.12

Standard deviation = √5325.12/150 - 1)

Standard deviation = 5.98

Answer:

x = 40

Step-by-step explanation:

Given 2 secants to a circle from an external point, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

8(8 + x) = 12(12 + 20) ← distribute parenthesis on both sides

64 + 8x = 12 × 32 = 384 ( subtract 64 from both sides )

8x = 320 ( divide both sides by 8 )

x = 40

Answer: Around a circular table, ten people can be seated 362880 ways.

We establish the conditions of the exercise:

It is a Combination so we use the formula:

    [tex]\boldsymbol{\sf{_{n}C_{r}=\cfrac{n!}{n\cdot (n-r)!} }}[/tex]

          [tex]\boldsymbol{\sf{n=10\; \; \; \; \; r=10}}[/tex]

We substitute and solve:

  [tex]\boldsymbol{\sf{_{10}C_{10}=\cfrac{10!}{10\cdot (10-10)!}=9!=9\cdot8\cdot7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1=362880}}[/tex]

Step-by-step explanation:

4x2 + x3

Rearrange

x3 + 4x2

x2 (x + 4)

Answer:

32 pupils in a class

Step-by-step explanation:

You are going to divide 192 by 6 to figure out the average amount per class.

Answer:

An approximately 2 minutes is expected to reach the front of the line

Step-by-step explanation:

Expected value of minutes =

(1/4)^(1/5) + (1 - 1/4)^(1/5)

= (1/4)^0.2 + (3/4)^0.2

= 0.7579 + 0.9441

= 1.702.

≈ 2 minutes

Answer:

It is 4 because length PO is also 4 and TR is across from it.

Step-by-step explanation:

Answer:

x = 10/√2 ≈ 7.07

Step-by-step explanation:

Comenzaremos por dividir el triángulo en dos partes y definir H, como en la figura adjunta.

Aplicando el teorema de Tales, sabemos que:

[tex]\dfrac{l/2}{H}=\dfrac{x/2}{h}\\\\\\\dfrac{l}{H}=\dfrac{x}{h}[/tex]

También sabemos que, dado que el tirángulo menor es la mitad que el triángulo mayor, la relación entre áreas es:

[tex]\dfrac{A}{A_x}=\dfrac{lH/2}{xh/2}=\dfrac{lH}{xh}=2[/tex]

Dado que formamos dos triángulos rectángulos, podemos despejar el valor de H como:

[tex](l/2)^2+H^2=l^2\\\\H^2=l^2-(l/2)^2=10^2-5^2=100-25=75\\\\H^2=\sqrt{75}[/tex]

Podemos entonces despejar x de la siguiente manera:

[tex]h=\dfrac{H}{l}\cdot x=\dfrac{lH}{2x}\\\\\\2x^2\dfrac{H}{l}=lH\\\\\\2x^2=l^2\\\\\\x=\dfrac{l}{\sqrt{2}}=\dfrac{10}{\sqrt{2}}\approx7.07[/tex]

Answer:

71.8° F

Step-by-step explanation:

Given 75° and 4 times 0.8° drop = 3.2°, so the temperature is 75° - 3.2°

= 71.8° F

Answer:

11

Step-by-step explanation:

absolute value is always a positive number so

3|-5| -2|-2| =

3 * 5 -2*2

follow PEMDAS

15 -4 = 11

Answer:

The standard deviation of the population is 4.5 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation of the population [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question:

[tex]s = 0.5, n = 81[/tex]

So

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.5 = \frac{\sigma}{\sqrt{81}}[/tex]

[tex]\sigma = 9*0.5 = 4.5[/tex]

The standard deviation of the population is 4.5 minutes.

Answer:

The answer is B.

Step-by-step explanation:

Given that the total angle in a triangle is 180°. So in order to find x, you have to subatract 95° and 57° from 180°

[tex]x + 95 + 57 = 180[/tex]

[tex]x = 180 - 95 - 57[/tex]

[tex]x = 28[/tex]

Complete Question

The complete question is shown on the first uploaded image  

Answer:

it is convergent and  the solution is  [tex]= \frac{33 \pi }{2}[/tex]

Step-by-step explanation:

From the question we are given  

        [tex]\int\limits^1_0 {\frac{33}{\sqrt{1-x^2} } } \, dx[/tex]

When integrated

         [tex]= 33 sin^{-1} x \left | \ 1} \atop {0}} \right.[/tex]

        [tex]= 33[ \frac{\pi }{2} - 0][/tex]

        [tex]= \frac{33 \pi }{2}[/tex]

This implies that the integral converges

Answer:

F-1(x)=7/(x+9)

Step-by-step explanation:

Change F(x) to y so    y=7/x -9

Swap variables x=7/y -9

Solve x+9=7/y

7/(x+9)=y

Then change y to F inverse

F-1(x)=7/(x+9)

Thats ur inverse!!!

Answer:

(x+9)/7

Step-by-step explanation:

Let f(x) = y;

y =7/x - 9

y + 9 = 7x

x = (y + 9)/7

Substitute x for y and X = f^{-1}(x)

f^{-1}(x) =(x+9)/7 this is the inverse of f(x)

Answer:

12r-32

Step-by-step explanation:

Distribute the 4 between the different numbers.

3r * 4 = 12r and 8 * 4 = 32

So...you end up with 12r-32

Hi! I hope you're enjoying your day!

Let's recall that the Distributive Property states that

a(b+c)=ab+ac

Where

a, b, and c can be either constants (numbers like 4) or variables (letters like d)

Simplify:

4(3r-8)

4 times 3r is equal to 12r

12r- (4*8)

[tex]\boxed{\boxed{\bold{12r-32}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

Answer:

f^-1(y) =[ In(x-2) + 1] /3

Step-by-step explanation:

The inverse of this expression is to find x

Now taking In of both sides we have

y=2^3x-1

In y = In2^3x-1

In y = (3x- 1)In 2

(Iny / In2) + 1= 3x

x =[ (Iny / In2) + 1] /3

Therefore the inverse of y is

f^-1(y) =[ (Inx / In2) + 1] /3

f^-1(y) =[ In(x-2) + 1] /3

The equation of the inverse of the provided equation, which is equal to the reverse of the original equation, is y=(ln(x-2)+1)/3.

The inverse of an equation is the reverse of the original equation. The equation and the inverse of it has symmetry in each other.

To find the inverse of equation, we have to interchange the variable of equation to each other.

The given equation is,

[tex]y=2^{3x-1}[/tex]

Taking log both side of the equation,

[tex]\ln y = \ln 2^{3x-1}[/tex]

Use the log of power and simplify the equation further, as,

[tex]\ln y = \ln 2^{3x-1}\\\ln y = (3x-1)\ln 2\\\dfrac{\ln y}{\ln 2} = (3x-1)\\\ln (y-2)= (3x-1)\\\ln (y-2)+1= 3x\\x=\dfrac{\ln (y-2)+1}{3}[/tex]

Interchange the place of x and y,

[tex]y=\dfrac{\ln (x-2)+1}{3}[/tex]

This is the required inverse equation.

Thus, the equation of the inverse of the provided equation which is equal to the reverse of the original equation, is y=(ln(x-2)+1)/3.

Learn more about the inverse of an equation here;

https://brainly.com/question/5219726

#SPJ2

Answer:

Chord

Step-by-step explanation:

I believe the word you are looking for is a chord.

Answer:

-7k-8k^2+5k^4

Step-by-step explanation:

Answer:

The correct option is

(A). When given two names for the same quantity, you can use algebra to solve the equations.

Step-by-step explanation:

I had thesame quiz, lucky you...next time put the options :)