Between which two integers on a number line does -√120 lie on?

Answers

Answer 1
-11 can be written as - root 121 and -10 can be written as -100. Since 100 < 120 < 121, it lies between -11 and -10.
Answer 2

Answer:

-11 and -10

Step-by-step explanation:

● -√120 = -1 × √120

● -√120 = -1 × 2√30

● 30 is close to 25 so √30 is close to five but greater than it.

Multiplying 5 by -2 gives -10

Multipluing √30 by -2 gives you a number that is close to -10 but smaller than it.

So -√120 lies between -11 and -10


Related Questions

The school's square parking lot has an
area of 3025 ft2. What is the length of each
side of the parking lot?

Answers

Answer:

The answer is 55ft

Step-by-step explanation:

Since the school's parking lot is a square,

Area of a square = l²

where l is the length of one side

From the question

Area = 3025ft²

We have

3025 = l²

Find the square root of both sides

l = √3025

l = 55ft

The length of each side of the parking lot is 55ft

Hope this helps you

Find the formula for the inverse function.f(x)=2/3-4x​

Answers

Answer:

f exponent − 1  ( x )  =  -X/4  +  1/ 6

Plz mark brainlyest

Step-by-step explanation:

90 to the nearest tenth

Answers

Answer:

90

Step-by-step explanation:

Hey there!

Well 90.000 to the nearest tenth is just 90 because there is no decimal places to round.

Hope this helps :)

Answer:

90

Step-by-step explanation:

90 has 0 ones so 90 is just 90, but rounded...

Please please please please help

Answers

Answer:

m = 9

Step-by-step explanation:

8/12 = 6/m

8m = 72

m = 9

Answer:
m=9

Working out:
12÷8=1.5
6x1.5=9

Let me know if you need an explanation.
Hope this helps :)

A zoo train ride costs $4 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who took the ride was 27, and the total money collected was $60. What was the number of children and the number of adults who took the train ride that day, and which pair of equations can be solved to find the numbers? 1) 11 children and 16 adults Equation 1: a + c = 27 Equation 2: 4a + c = 60 2) 16 children and 11 adults Equation 1: a + c = 27 Equation 2: 4a + c = 60 3) 11 children and 16 adults Equation 1: a + c = 27 Equation 2: 4a − c = 60 4) 16 children and 11 adults Equation 1: a + c = 27 Equation 2: 4a − c = 60

Answers

Answer:

11 adults and 16 children

Step-by-step explanation:

a + c = 27 and 4a + c = 60

3a = 60 - 27 = 33

a= 11  

so c = 16

I need domain and range

Answers

Answer:

Domain: all real numbers/ (-inf,inf)/ -inf<x<inf

Range: all real numbers greater than -4/  [-4,inf)/ -4≤y<inf

Step-by-step explanation:

the graphs/equations of ALL quadratics (parabolas) have a domain of all real numbers

The vertex of the parabola is at y=-4 so the range cannot be any less than that, and then both ends point up, so they will continue on for infinity.  

Hope i could help!

how many are 2 raised to 2 ???​

Answers

Answer:

[tex]\huge \boxed{4}[/tex]

Step-by-step explanation:

2 raised to 2 is also the base 2 with an exponent of 2.

[tex]2^2[/tex]

2 is squared or multiplied by itself.

[tex]2^2 =2 \times 2 = 4[/tex]

Please help! I’ve tried every site and nothing has helped


The answer is 11.8

Answers

Answer:

11.8%

Step-by-step explanation:

Here in this question, we want to find the probability of no success in the binomial experiment for 6 trials.

Let p = probability of success = 30% = 30/100 = 0.3

q = probability of failure = 1-p = 1-0.3 = 0.7

Now to calculate the probability, we shall need to use the Bernoulli approximation of the binomial theorem.

That would be;

P(X = 0) = 6C0 p^0 q^6

6C0 is pronounced six combination zero

= 6 * 0.3^0 * 0.7^6 = 1 * 1 * 0.117649 = 0.117649

This is approximately 0.1176

If we convert this to percentage we have 11.76%

But we want our answer rounded to the nearest tenth of a percent and that is 11.8%

the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear is

Answers

Answer:

2/5

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Since we are to find the probability that 2 randomly selected points from Q,R,S,T and W are non-collinear

Non collinear points are points that doesn't lie on the same straight line. From the diagram given, the two point that are non colliear are (QR, QS, QT and QW making 4 2random non collinear points. Hence out expected number of outcome is 4.

For the total possible outcome, we are to find the number of ways we can randomly select two points from the 5 points given and this can be done using the combination rule.

This can therefore be done in 5C2 number of ways.

5C2 = 5!/(5-2)!2!

5C2 = 5!/3!2!

5C2 = 5*4*3*2*1/3*2*2

5C2 = 5*2

5C2 = 10 different ways

Hence the total possible outcome is 10

Therefore, the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear will be 4/10 = 2/5

PLEASE HELP ME I WILL GIVE 5 STARS TO THE FIRST ONE WHO GETS THIS RIGHT !

Answers

Answer:

Option 1 and option 4

Step-by-step explanation:

The inverse of 12^2 is the √12 so option 4 is correct. 12^1/2 also equals √12 so option 1 is also correct.

Answer:

12 [tex]\frac{2}{1}[/tex]

Step-by-step explanation:

Evaluate the function below at x=5. Then, enter your solution. f(x)=3(2)^x

Answers

Answer:

Solution: f(5) = 96

Step-by-step explanation:

f(5) = 3(2)^5

f(5) = 3 (2 × 2 × 2 × 2 × 2)

f(5) = 3 (32)

f(5) = 96

Whats the mean of the box plot 50 60 70 80 90 100

Answers

Answer:

75

Step-by-step explanation:

Mean = sum of all numbers / how many of numbers

=> 50 + 60 + 70 + 80 + 90 + 100 / 6

=> 450 / 6

=> 75

So, the mean of this data is 75.

This rectangular patio is tiled using 50 cm by 50 cm square tiles. How many tiles are used?

Answers

Answer:

60 tiles are used

Step-by-step explanation:

1m equals 100 cm.

5m equals 500

3m equals 300

the whole thing is 500 by 300 which when you multiply gives you

150,000. When you multiple 50 by 50 it gives you 2,500. So when you divide 150,000 by 2,500 it gives you a total of 60 tiles. HOPE THIS HELPS

Answer:

60 tiles

Step-by-step explanation:

First, I would convert cm to m to make it easier

50 cm is .5 m

Now we can find how many tiles across it takes to make one row (5m)

.5 goes into 5, 10 times

That means we need 10 tiles across to fill one row

Now we need to find how many tiles it takes to fill up a column (3m)

.5 goes into 3, 6 times

It takes 6 tiles to fill up a column

Now we know it takes 10 tiles across and 6 vertically

10x6=60

60 tiles

Give the values of a, b, and c needed to write the equation's general form.
1/4x^2+5=0

Answers

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

   Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Let's solve your equation step-by-step.

[tex]\frac{1}{4} x^2+5=0[/tex]

For this equation: [tex]a=0.25, b=0, c=5[/tex]

[tex]0.25x^2 + 0x + 5 = 0[/tex]

Step 1: Use quadratic formula with [tex]a=0.25, b=0, c=5.[/tex]

[tex]x = \frac{-b ± \sqrt{b^2 - 4ac} }{2a}[/tex]

[tex]x = \frac{-(0) ± \sqrt{(0)^2 -4 (0.25) (5) } }{2(0.25)}[/tex]

[tex]x = \frac{0 ± \sqrt{-5} }{0.5}[/tex]

Answer : No Real Solutions.

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

If this helped you, could you maybe give brainliest..?

Also Have a great day/night!

❀*May*❀

he greatest common factor of each term in the expression 60 a b minus 72 b is 12b. Which choice shows the expression written as a product?

Answers

Answer:

Hey there!

60ab-72b

12b(5a-6)

The GCF is 12b.

Let me know if this helps :)

Answer:

b

Step-by-step explanation:

Which number line best shows how to solve −8 − (−2)? A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 2. A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to 2. A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 6. A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to 6.

Answers

Answer:

A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 6

Step-by-step explanation:

A number line is a straight line with numbers placed at equal intervals. Positive numbers are placed to the right of 0 and negative numbers are placed to the left of zero.

When a number (x) is added x unit is moved to the right while if a number (x) is subtracted x units is moved to the left.

To solve -8 - (-2) = -8 + 2

Given a A number line from negative 10 to 10 with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8 then since 2 is added, we move 2 units right from negative 8 to negative 6.

Answer:

C (3rd option)

Step-by-step explanation:

simplified the top one

Diagram shows helicopter H flying towards an island P

When the helicopter is 100 m above sea level, the pilot sees a man fishing from boat Q. Given the angles of depression of the island P and boat Q from H are 22° and 61.5° respectively.

Calculate the distance, in M, of PQ ​

Please help me to explain :(

Answers

Answer:

193.21 m

Step-by-step explanation:

make a vertical line down from the helicopter that is 100m

tan 61.5 = 100/x       x = 54.3 (distance from the point directly below helicopter                                                                  to boat)

tan 22 = 100/x          x = 247.51 (distance from the point directly below helicopter to the island

247.51 - 54.3 = 193.21 (distance from boat to island)

Questions attached below (❁´◡`❁)

Answers

Problem 2

Josh forgot to apply the square root to 16 when he went from [tex](x-3)^2 = 16[/tex] to [tex]x-3 = 16[/tex]

Also, he forgot about the plus/minus.

This is what his steps should look like

[tex]x^2 - 6x - 7 = 0\\\\x^2 - 6x = 7\\\\x^2 - 6x +9= 7+9\\\\(x-3)^2= 16\\\\x-3= \pm\sqrt{16}\\\\x-3= 4 \text{ or } x-3= -4\\\\x= 7 \text{ or } x= -1\\\\[/tex]

There are two solutions and they are x = 7 or x = -1. To check each solution, you plug it back into the original equation

Let's try out x = 7

x^2 - 6x - 7 = 0

7^2 - 6(7) - 7 = 0

49 - 42 - 7 = 0

0 = 0 ... solution x = 7 is confirmed. I'll let you check x = -1

====================================================

Problem 3

We will have

a = 1, b = -4, c = 3

plugged into the quadratic formula below to get...

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-4)\pm\sqrt{(-4)^2-4(1)(3)}}{2(1)}\\\\x = \frac{4\pm\sqrt{4}}{2}\\\\x = \frac{4\pm2}{2}\\\\x = \frac{4+2}{2} \ \text{ or } \ x = \frac{4-2}{2}\\\\x = \frac{6}{2} \ \text{ or } \ x = \frac{2}{2}\\\\x = 3 \ \text{ or } \ x = 1\\\\[/tex]

The two solutions are x = 3 or x = 1. You would check this by plugging x = 3 back into the original expression x^2 - 4x + 3. The result should be zero. The same applies to x = 1 as well.

what is the perimeter of the rhombus ?

Answers

Answer:

20 units

Step-by-step explanation:

To find the hypotenuse length of one of the sides of this rhombus we have to use the pythagoram theorem.

if you make the point (1,0) the origin, we can see that it forms a triangle, with a base of 3, and a height of 4, next to the BE line.

a^2+b^2=c^2

9+16=c^2

25=c^2

c=5

if each diagnol length is 5 units long, the perimeter is

20 units.

Answer:

20 units.

Step-by-step explanation:

Formula for the perimeter of a rhombus = 4a.

Meaning all sides multiplied by 4

The point (1,0) is made A.

From D to F is 8 units, and from E to G is 6 units. Half of 6 is 3, and half of 8 is 4.

Imagine a right-angled triangle on one side of the rhombus(eg. ∆GAD), meaning that you'll have to find the hypotenuse.

*Use Pythagoras Theorem*

x² = 3² + 4²

x² = 9 + 16

x = √25

x = 5

The perimeter of the rhombus if one side is 5 units:

5 units × 4 sides = 20 units.

Choose all of the expressions that are equal to −9. |−9| −(−9) −|−9| −|9| the distance from zero to nine the opposite of nine

Answers

Answer:

|−9|,  −|−9| and −|9|

Step-by-step explanation:

Before we choose all the expression that is equal to -9, we must understand that the modulus of a value can return both its positive and negative value. For example, Modulus of b can either be +b or -b i.e |b| = +b or -b

Hence the following expression are all equal ro -9

a)  |−9| is equivalent to -9 because the absolute value of -9 i.e |−9| can return both -9 and 9

b)  −|−9| is also equivalent to -9. The modulus of -9 is also equal to 9, hence negating 9 will give us -9. This shows that  −|−9| = −|9| = −9

c)  −|9| is also equivalent to -9. This has been established in b above.

Answer: -|-9|, -|9|, and the opposite of nine

Step-by-step explanation: The absolute value symbol is | |. |-9| is 9 but add that - to it and it's -9. The absolute value of 9 is 9, add the - to it to get -9.

the opposite of 9 is -9.

I need some help plsssssssssssss

Answers

Answer:

See below.

Step-by-step explanation:

p: Atlanta is the capital of Georgia.

q: There are 4 feet in a yard.

p is true; q is false

11. p V q:

Atlanta is the capital of Georgia, or there are 4 feet in a yard.

Truth value: true since one of the statements is true.

12. p ▲ q:

Atlanta is the capital of Georgia, and there are 4 feet in a yard.

Truth value: false since not both statements are true.

13. p ▲ ~q:

Atlanta is the capital of Georgia, and there are not 4 feet in a yard.

Truth value: true since both of the statements are true.

11. ~p V q:

Atlanta is not the capital of Georgia, or there are 4 feet in a yard.

Truth value: false since both statements are false.

Answer:

Step-by-step explanation:

A square has a perimeter of 48 in. Find the perimeter of a triangle with each side 4 inches longer than the side of the square.

Answers

Answer:

48 in.

Step-by-step explanation:

square

P = 4s

4s = 48 in.

s = 12 in.

triangle

s = 12 in. + 4 in.

s = 16 in.

P = 3s = 3(16 in.)

P = 48 in.

The pepper plant has 2/3 as many fruits on it as the tomato plant has. The tomato plant has 9 fruits on it. How many fruits does the pepper plant have on it?

Answers

Answer:

The pepper plant has 15 fruits on it.

Step-by-step explanation:

Let the tomato plant have x plants. Let the pepper plant have y plants. Since the pepper plant has 2/3 more fruits on it than the tomato plant, we have that y - x = 2x/3

collecting like terms,

y = 2x/3 + x

The above is the number of plants the pepper plant has.

y = 2x/3 + x

y = (2x + 3x)/3

y = 5x/3

Since x = number of fruits on tomato plant = 9, then

y = 5x/3

y = 5(9)/3

y = 5 × 3

y = 15

Since y = number of fruits on pepper plant = 15

So, the pepper plant has 15 fruits on it.

(If gets it right get's brainliest)If the hypotenuse of an isosceles right triangle is 14, what is the area of the triangle?

Answers

Answer:

49 unit²

Step-by-step explanation:

Right triangle with equal legs given, let the leg be x.

Hypotenuse of isosceles right triangle is

√x² + x² = x√2

Area of triangle:

1/2ah= 1/2x²

Since we have hypotenuse = 14 units:

x√2=14x= 14/√2

Then area:

1/2x² = 1/2*(14/√2)² = 1/2*14²/2 = 7² = 49 unit²

in this figure ST || QR, PT = 4cm, TR = 8cm, area of PQR = 90cm^2. Find PT:TR please help me ​

Answers

Answer: The required ratio is PT:TR  = 1:2.

Step-by-step explanation:

Given: In triangle PQR, ST || QR, PT = 4cm, TR = 8cm, area of PQR = 90 cm².

To find : PT:TR

.i.e. Ratio of PT to TR.

Here, PT:TR[tex]=\dfrac{PT}{TR}[/tex]

[tex]=\dfrac{4\ cm}{8\ cm}[/tex]

Divide numerator and denominator by 4 , we get

[tex]\dfrac{1}{2}[/tex]

Therefore, the required ratio is PT:TR  = 1:2.

It takes a copy machine 6 minutes to complete a job. How many minutes are left on a job if 2/3 of the job is now complete?

Answers

2/3 of the job was completed in 4 minutes. the job left will be completed in 2 minutes

A zucchini plant in Darnell’s garden was 10 centimeters tall when it was first planted. Since then, it has grown approximately 0.5 centimeter per day. a. Write a rule to describe the function. b. After how many days will the zucchini plant be 18.5 centimeters tall?

Answers

Answer:The number of days it will grow to be 18.5 cm tall is 17 days.

Step-by-step explanation:

To find how many days it will grow until it reaches 18.5 centimeters, first find the difference of the new height by the old height.

So= 18.5-10= 8.5cm

8.5 is the centimeters it needs to grow to be 18.5 cm tall.

Then, divide it by the number of centimeters it will grow in one day, which is 0.5, to find the days it grew 8.5 cm.

So= 8.5÷0.5= 17

I hope this helps! Ask me if you're confused.

what is the gcf of 3x^2 +9

Answers

Answer:v

Step-by-step explanation:

3(x^2+3)

the gcf is 3

Answer: 3 is the gcf

Step-by-step explanation:

3 is a factor of both 3 and 9. 1 is the other common factor. 3 is the greatest common factor. If you were looking at larger numbers with many common factors like 24 and 48, factors include 1,2,3,4,6,8,12,&24 You might find other smaller factors useful, but most of the time it's the gif that needs to be factored out: 3(x^2 + 3)

Nan left her house at 1 p.m. driving at a constant speed of 40 miles perhour. If she continues at that same speed for the entire trip, she will reach
her destination at 4:45 p.m. If Nan were to drive 10 miles per hour faster,
how much quicker would she arrive?

Answers

Answer:

45 minutes faster

Step-by-step explanation:

Distance:

40 x 3.75 = 150

If travel 50 miles/h:

150/50 = 3

3.75 - 3 = 0.75 of hour

45 minutes

Hope that helped!!! k

URGENT PLS HELP ASAP! THANK YOU :)​

Answers

Answer:

box 1 and box2 are correct.

Other Questions
On January 1, a company issues bonds dated January 1 with a par value of $320,000. The bonds mature in 5 years. The contract rate is 7%, and interest is paid semiannually on June 30 and December 31. The market rate is 6% and the bonds are sold for $333,650. The journal entry to record the first interest payment using the effective interest method of amortization is: (Rounded to the nearest dollar.) Sometimes the legal language about immigration is written in a manner that signifies "American-ness," using veiled racial markers to clearly identify those who are "in" and those who are "out." What do anthropologists call this kind of demarcation? Abel was employed as a security guard for Seep Corporation. Abel's job was to guard a fenced-in area and to use force to keep intruders from climbing the fence to enter the plant. His working hours were from 8:00 A.M. to 5:00 P.M. At about 11:00 P.M. one evening, Abel drove past his place of employment. He saw a teenager named Johnny climbing the outside of the fence that he guarded during the day. Angered by this violation of Seep's property rights and by the fact that Johnny had called him a "potbellied moron" only three days earlier, Abel stopped his car, ran up to the fence, pulled Johnny off of it, and beat him up. Johnny sues Seep Corporation for Abel's assault and battery (both intentional torts). Which of the following is most likely to be the court's verdict? Group of answer choices Pranav and Trevon each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Pranav spent $74 on 1 daylily and 9 bunches ofornamental grass. Trevon spent $114 on 1 daylily and 14 bunches of ornamental grass. What is the cost of one daylily and the cost of one bunch of ornamental grass? The Nguyen family and the Reed family each used their sprinklers last summer. The Nguyen family's sprinkler was used for 15 hours. The Reed family's sprinkler was used for 25 hours. There was a combined total output of 1175L of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour? Nguyenfamily'ssprinkler:Lperhour Reedfamily'ssprinkler:Lperhour A negative supply shock, such as the OPEC oil price increases of the early 1970s, can be illustrated by a shift to the ______________ of the short-run aggregate supply curve and a shift _________________ of the short-run Phillips curve. How many solutions does the following equation have? -14(z-5)=-14x+70 Read the passage from "Marriage Is a Private Affair by Chinua Achebe. "Have you written to your dad yet? asked Nene one afternoon as she sat with Nnaemeka in her room at 16 Kasanga Street, Lagos. "No. Ive been thinking about it. I think its better to tell him when I get home on leave! "But why? Your leave is such a long way off yetsix whole weeks. He should be let into our happiness now. Nnaemeka was silent for a while, and then began very slowly as if he groped for his words: "I wish I were sure it would be happiness to him. "Of course it must, replied Nene, a little surprised. "Why shouldnt it? "You have lived in Lagos all your life, and you know very little about people in remote parts of the country. "Thats what you always say. But I dont believe anybody will be so unlike other people that they will be unhappy when their sons are engaged to marry. "Yes. They are most unhappy if the engagement is not arranged by them. In our case its worseyou are not even an Ibo. This was said so seriously and so bluntly that Nene could not find speech immediately. In the cosmopolitan atmosphere of the city it had always seemed to her something of a joke that a persons tribe could determine whom he married. Which statement about this passage best explains that the village culture is patriarchal? People from different tribes do not marry one another. This does not describe the patriarchal system. Fathers in small villages arrange marriages for their children. Fathers are unhappy when their children become engaged to be married. On a separate sheet of paper, tell why scientists in different countries can easily compare the amount of matter in similar objects in their countries What is 100,000+4,000+800+5 in standard form Xion Co. budgets a selling price of $85 per unit, variable costs of $34 per unit, and total fixed costs of $285,000. During June, the company produced and sold 12,300 units and incurred actual variable costs of $366,000 and actual fixed costs of $300,000. Actual sales for June were $1,090,000.Required:Prepare a flexible budget report showing variances between budgeted and actual results. List variable and fixed expenses separately. Six people attend the theater together and sit in a row with exactly six seats. a. How many ways can they be seated together in the row? b. Suppose one of the six is a doctor who must sit on the aisle in case she is paged. How many ways can the people be seated together in the row with the doctor in an aisle seat? c. Suppose the six people consist of three married couples and each couple wants to sit together with the husband on the left. How many ways can the six be seated together in the row? A collector that has better efficiency in cold weather is the:flat-plate collector due to reduced heat lossevacuated tube collector due to its larger sizeflat-plate collector due to the dark-colored coatingO evacuated tube collector due to reduced heat lossQuestion 23 (1 point) SavedOne of the following is not found in Thermosyphon systemso Convert the following:1 meter is equivalent toao feet (rounded to the nearest hundredth) Define NetworkingExplain types of NetworkExplain topologies HELP ME PLEASE ASAP! Zoe is making a quilt. The ratio of red squares to green squares is 2 to 3. She uses a total of 55 squares. How many green squares does she use? A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Kentucky using Interstate 75. Let us assume that the probability of no traffic delay in one period, given no traffic delay in the preceding period, is 0.9 and that the probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.6. Traffic is classified as having either a delay or a no-delay state, and the period considered is 30 minutes.Required:a. Assume that you are a motorist entering the traffic system and receive a radio report of a traffic delay. What is the probability that for the next 60 minutes (two time periods) the system will be in the delay state?b. What is the probability that in the long run the traffic will not be in the delay state?c. An important assumption of the Markov process model presented here has been the constant or stationary transition probabilities as the system operates in the future. Do you believe this assumption should be questioned for this traffic problem? Explain. Which statement correctly compares1201 and1512ol-201 = 151ol-201 < 51l-201 > 151 Please Solve this, it would be extremely helpful for me. [tex]{\tt{\fbox{\red{Trigonometry}}}}[/tex]In the figure given below, AB ll EF ll CD. If AB = 22.5 cm, EP = 7.5 cm, PC =15 cm and DC = 27 cm. Calculate: (i) EF (ii) AC The Peppered moth is white with black spots, which helps it blend in with the bark on beech trees. The burning of coal in Great Britain caused many beech trees to become black with soot. Over time, the Peppered moth became all black in order to blend in with the new bark color. What type of example is this? homeostasis metabolism organization adaptation