Finn leaned a 100-foot ladder against the side of a building. The base
of the ladder is 14 feet from the base of the building. The top of the
ladder is 11 feet from the top of the building. How tall is the building?
Provide an answer accurate to the nearest tenth of a foot.

Answers

Answer 1

The height of the Building is 110.01 feet.

What is the Pythagorean theorem?

The square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides, according to Pythagoras' Theorem.

Given, Finn leaned a 100-foot ladder against the side of a building. The base of the ladder is 14 feet from the base of the building. The top of the ladder is 11 feet from the top of the building.

For the triangle made by ladder

hypotenuse = 100

base = 14

thus, from the Pythagorean theorem

hypotenuse² = base² + height²

100² = 14² + height²

height² = 10000 - 196

height = √9804

height = 99.01

total height of the wall = height of triangle + remaining height of the wall

Thus the total height of the wall  = 99.01 + 11

the total height of the wall  = 110.01

therefore, the building is 110.01 feet tall.

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Finn Leaned A 100-foot Ladder Against The Side Of A Building. The Baseof The Ladder Is 14 Feet From The

Related Questions

You have a circle-shaped mirror in your bedroom. To figure out where to hang it, you must find the diameter of the circle. You know the radius is 34 centimeters. How long is the diameter in inches? (Diameter = 2xradius) ( 1in = 2.54cm)

A. 26.8 inches
B. 86.4 inches
C. 172.7 inches
D. 13.4 inches

Answers

The diameter of a given circle, measured in inches, is 26.8 inches, according to the solution.

The correct option  is A.

What makes it called a circle?

A circle is a circular shape that can be created by tracing a moving point in a plane so that its distance from thea specified point remains constant. From the Greek word kirks, which means hoop or ring, comes the term circle.

How can a circle be so strong?

Circular shapes give us a feeling of completion, assurance, and harmony from a psychological perspective. They stand for the concepts of oneness, integration, and wholeness. In addition to lacking angles, they also lack a beginning and an end. Because of this, a circle is a strong, yet secure, kind, and benign element.

According to the given information:

Given,

Radius of circle= 34cm=13.36 inches

Diameter= 2x radius

Diameter = 26.8 inches

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Please help I have a learning disablity and need help with this.
Please answer both parts
Find the product mentally. Show the steps you used.

4 x 5 1/8

Which one is correct
4(5) + 4 (1/8)
20 + 1/8
4 + 5 (1/8)
4 + 41/8

Answer here _______________

Find the product in the simplest form. Use your answer from question 1 when we rewrote it using the Distributive Property.

4 x 5 1/8

20 1/8
20 1/2
20/8
2 1/4

Answer here ______________

Answers

The product value of 4 x 5(1/8) is 4(5) + 4(1/8).

Option A is the correct answer.

The product value of 4 x 5(1/8) is 20(1/2).

Option B is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4 x 5(1/8)

= 4 x (5 + 1/8)

= 4 x 5 + 4 x 1/8

4 x 5(1/8)

= 4 x (5 + 1/8)

= 4 x 5 + 4 x 1/8

= 20 + 1/2

= 20(1/2)

Thus,

4(5) + 4 (1/8) is the value.

20(1/8) is the value.

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HELP PLEASE! 100PTS!


You're playing a game of pool and it's your turn, but you have no direct shots. To make any shot, you will need to bank the cue ball (the white ball) off the side of the table before it hits your ball.



That means that you hit the cue ball so that it bounces off the side and then hits your colored ball, moving it in the direction of a pocket (hole). The angle that the ball hits the bumper is equal to the angle that it bounces off the bumper.



The cue ball is 18 inches from the top bumper (side of pool table) and 50 inches from the right bumper. The dimensions of the pool table are 96 inches in the horizontal direction by 46 inches in the vertical direction

Answers

By Solving this proportion will give you the value of the angle you need to aim your shot.

What is angle of elevation ?

angle elevation can be defined as the angle formed between line of sight and horizontal line.

Draw a diagram of the pool table, labeling the dimensions of the table and the position of the cue ball.

Since the cue ball is 18 inches from the top bumper and 50 inches from the right bumper, you can draw a right triangle with these side lengths.

The dimensions of the pool table can also be used to draw a right triangle, with the horizontal dimension (96 inches) as the base and the vertical dimension (46 inches) as the height.

These two triangles are similar because they are both right triangles and they share a right angle. Therefore, the ratios of their sides are equal.

You can use the ratios of the sides of these triangles to determine the angle at which you should aim your shot. To do this, you can set up a proportion using the corresponding sides of the two triangles. For example, you could use the ratio of the base to the height of the small triangle (18 inches to 50 inches) and set it equal to the ratio of the base to the height of the large triangle (96 inches to 46 inches).

Hence, by  Solving this proportion will give you the value of the angle you need to aim your shot.

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The rectangular floor of a classroom is 24 feet in length and 40 feet in width. A scale drawing of the floor has a length of 6 inches. What is the area, in square inches, of the floor in the scale drawing?


HURRYYYYYYYYYYY

Answers

The area of the floor in the scale drawing is 60 inches²

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Actual rectangular floor.

Length = 24 feet

Width = 40 feet

Scale rectangular floor.

Length = 6 inches

Width = 40/4 = 10 inches

The area of the scale rectangular floor.

= Length x Width

= 6 x 10

= 60 icnhes²

Thus.,

The area of the floor is 60 inches².

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Solve the following system of equations algebraically:
y = x² - 15x + 60
y=x-3

Answers

Since the square root of a negative number does not exist in the real numbers, there are no real solutions for x. Therefore, the system of equations has no solutions.

Define Algebric expression.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

What is variables and constants ?

A constant has a fixed value and does not vary over time. For instance, the size of a shoe, a piece of clothing, or any other article of clothing will never alter. x+y = 8 is an algebraic equation, and 8 is a constant that cannot be altered. Variables are concepts that change or fluctuate throughout time.

To solve this system of equations algebraically, we can substitute y = x-3 into the first equation

y = x² - 15x + 60

x-3 = x² - 15x + 60

x² - 16x + 63 = 0

We know that this quadratic equation has no real solutions because its discriminant (b^2 - 4ac) is negative, so the system of equations has no real solutions.

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Convert 1.45454... into a ratio of two integers. Enter your answer as a fraction in lowest terms.​

Answers

Answer:

16/11

Step-by-step explanation:

Let x = 1.45454...

Multiply both sides by 100:

100x = 145.454...

Subtract both sides by x:

100x - x = 145.454... - x

100x - x = 145.454... - 1.45454...

99x = 144

x = 144/99

The term can be simplified in lowest as 16/11. Hence, 1.45454... can be written as the ratio of two integers of 16/11

Compare the rules of two games. Game A: Two six-sided dice are thrown. The numbers on the dice determine which player gets a point. Player 1 gets a point if the product of the numbers on the dice is even. Player 2 gets a point if the product is odd. Game B: Two six-sided dice are thrown. The numbers on the dice determine which player gets a point. Player 1 gets a point if the sum of the numbers on the dice is even. Player 2 gets a point if the sum is odd. IN Which statement accurately describes whether these games are fair?​

Answers

Answer:

Neither game A or B is fair

Step-by-step explanation:

statement accurately describes whether these games are fair is neither game A nor game B.

What is probability?

Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

For, game A:

Odd x odd= odd,odd x even= eveneven x even = even

Not fair

For game B,

Odd + odd = eveneven + even= evenodd+ even= odd

Again,  unfair.

P (odd, odd)= 1/4

P(even, even)=1/4

P(odd, even)=1/2

Hence, none of the game is fair.

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The diameter of a circle is 8 inches what is the circumference

Answers

Answer:

25.12

Step-by-step explanation:

8 x 3.14

Answer:

Circumference= 2πr

Raduis is half of the diameter so the radius is 4 in.

2 x 3.14 x 4= 25.12

The circumference of the circle is 25.12 in

How do you know if it is a linear exponential or quadratic graph?

Answers

Linear graphs have the following form: y = mx + b, where m is the slope of the line and b is the y-intercept.

To calculate the slope, you can use the formula m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Exponential graphs have the following form: y = ab^x, where a and b are constants. To calculate the constants, you can use the formula y = a + b^x, where (x, y) are two points on the graph and a is the y-intercept.

Quadratic graphs have the following form: y = ax^2 + bx + c, where a, b, and c are constants. To calculate the constants, you can use the formula y = ax^2 + bx + c, where (x, y) are two points on the graph and c is the y-intercept.

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The population of Canada is 3.5×10^7, and the population of the world is 7.0×10^9. How many times larger is the population of the world compared to Canada's population?

No links
Only answer if your going to help ​

Answers

Answer:

The population of the world is 200 times of the population of Canada.

Step-by-step explanation:

Given that,

Canada's population = [tex]3.5\times 10^7[/tex]

The population of world =  [tex]7.0\times 10^9[/tex]

We need to find how many times larger is the population of the world compared to Canada's population. It can be solved as follows :

[tex]\dfrac{W}{C}=\dfrac{7.0\times 10^9}{3.5\times 10^7}\\\\\dfrac{W}{C}=200\\\\W=200C[/tex]

So, the population of the world is 200 times of the population of Canada.

Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $13.48
The amount of the tip is approximately $

Answers

$2.6, multiply 13 by .2 and you get 2.6

Lololol helpppo plssss

Answers

Answer:

-50

Step-by-step explanation:

7 - (7 * 11 - 1) ÷ 2 - (5)² + 6

7 - (77 - 1) ÷ 2 - 25 + 6

7 - (76) ÷ 2 - 25 + 6

7 - 38 - 25 + 6

-31 - 19

-50

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

B. [tex] - 50[/tex]

Step-by-step explanation:

[tex]7 - \frac{7 \times 11 - 1}{2} - ({5})^{2} + 6 \\ = 7 - \frac{77 - 1}{2} - 25 + 6 \\ = 13 - 25 - \frac{76}{2} \\ = - 12 - 38 \\ = - 50[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

PlsAnsweRRRRR



The median value is .

Answers

Answer:

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.

Step-by-step explanation:

Answer:

the median in this case would be 45

Step-by-step explanation:

(i’m going off what the other person said) since theres 5, you pick the one in the middle.

Pleaseeee help
Given that one standard deviation below the mean is 24 and one standard deviation above the
mean is 31, what is the Mean?

A)55
B)34
C)27.5
D)28

Answers

Answer:

C. 27.5

Step-by-step explanation:

since 24 and 31 are one standard deviation below or above the mean, we could subtract the two values and divide them by two to help find the mean.

we would first subtract the two values

31-24 = 7

we would then divide that number by 2 since we are finding the average between the two numbers

7/2 = 3.5

using the 3.5, you add it to the lower value (24) and subtract it from the higher value (31)

24+3.5 = 27.5

31-3.5 = 27.5

since both calculated numbers were equal, we know that we calculated the mean correctly.

Which statement describes the relationship between the
function and its inverse?
O The range of both f(x) and f'(x) is all real numbers.
O. The domain of both f(x) and f'(x) is all real numbers.
O The range of f(x) is y > 0 and the domain off'(x) is
X>0.
O The domain of f(x) is x > 0 and the range of f1(x) is
y>0.

Answers

Answer:

The third,

The range of [tex]f(x)[/tex] is [tex]y > 0[/tex] and the domain of [tex]f^{-1} (x)[/tex] is  [tex]x>0[/tex]

Step-by-step explanation:

The solution to the function is range of f(x) is y > 0 and the domain of f' ( x ) is x > 0

Define domain and range?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. Once we enter an x value, the function outputs this sequence of values.

The collection of results from a relation or function is known as the range. It is, in other words, the range of potential y values. As ordered pairs of the form (x,y), the y coordinate is provided after the x coordinate. After the input is a list of the output.

Given the data,

Let's write the function as f. ( x )

The function's inverse is now presented as

Function is equal to f'(x), where x and y intercepts are switched.

The range of f(x) is now all the values of y.

And , y > 0

Hence, x > 0 defines the domain of f' (x).

As a result, the domain of f' (x) is x > 0 while the range of f(x) is y > 0.

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The table shows information about the masses of some dogs.
Work out the minimum number of dogs that could have a mass of
more than 27 kg.
Work out the maximum number of dogs that could have a mass of
more than 27 kg.

Answers

a) The minimum number of dogs that could have a mass of more than 27 kg is 4.

b) The maximum number of dogs that could have a mass of more than 27 kg is 17.

What is interval?

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number one may imagine is a real number.

The given table shows information about the masses of some dogs.

a) As, the minimum number of dogs is needed to be found, then -

Assume all dogs present in the interval 20 to 40 have a mass of more than 27 kg so the minimum value out of 13 and 4 is 4.

b) As, the maximum number of dogs is needed to be found, then -

Assume all dogs present in the interval 20 to 40 have a mass of more than 27 kg so the maximum of the values present in the interval 20 to 40 is 13 + 4 = 17.

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A PE Teacher pays a total of $960 for 6 basketballs and 8 volleyballs. The price of 6 basketballs is equivalent to 8 volleyballs. How much does each basketball cost than each volleyball?


solve by assuming question

Answers

Answer: solving by forming simple algebra equation

Step-by-step explanation:


8x (x is the cost of 1 volleyball)
6y (y is the cost of 1 basketball)

We know that cost of 8 volleyballs is = cost of 6 basketballs
i.e. 8x = 6y

& total money spent to buy 8 volleyballs and 6 basketballs is $960
so we can write;
8x + 6y = 960
= (6y) + 6y = 960
= 12y = 960
= y or cost of 1 basketball is (960/12) = $80

& if we want to know the value of x (cost of 1 volleyball)
8x = 6y
= 8x = 6(80)
& x = 6(80/8)
      = 6 (10) = 60

so the cost of basketball is $80 & 1 volleyball is $60

Hope it helps :)

p.s. that the equation I formed were made as if I was making an assumption & the conditions were kept uniform from the beginning, this is very applicable in day to day scenario; for e.g. when you go out with you friends to eat and have to split the bill - this assumption and division is called algebra - so value this education!

Please help I have a learning disability and need help with this.

Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.

( 3 6) 9 and 3 (6 9)
yes, it uses the Associative Property
yes, it uses the Commutative Property
yes, it uses the Identity Property
no they are not equivalent

Answers

Answer:

No, they are not equivalent.

Step-by-step explanation:

The first expression, (3 6) 9, is equal to 9, while the second expression, 3 (6 9), is equal to 3. The two expressions are not equivalent because they do not produce the same result when the operations are carried out. The properties of associativity, commutativity, and identity do not apply to these expressions.

Answer:

no they are not equivalent

Step-by-step explanation:

The two expressions are not equivalent. This is because the distributive property does not apply in this case, as the parentheses on the left side of the expression have precedence over the parentheses on the right side. Therefore, the expression on the left side would be evaluated first, resulting in a different answer than the expression on the right side.

cuanto es 5X-3>-2X+4

Answers

Answer:

Step-by-step explanation:

7x > 7, o 7(x > 1).

es x>1

espero y te ayude esto

Sorry I'm dum,b and don't know scientific notation very well please explain for brainly =D

Answers

The simplest I can put it

10^1 = 10
10^2 = 100
10^3 = 1000
(essentially the number of zeroes)

5*10^2 = 5*100 = 500 (adding 2 zeroes, or moving the decimal over 2 places

Same works for numbers smaller than zero

5*10^-2 = 5*.01 = .05 (moving the decimal to the right 2 places

Answer:

Step-by-step explanation:

How did  you miss this?     it's just about moving the decimal place to where it makes better sense.  which just means, it's easier to read, and maybe to compare with other numbers.    Like how maybe

1,000,000,000,000  might be harder to compare to 1,000,000,000,000,000 than if it looked like this in scientific notation

1.0 x[tex]10^{12}[/tex]   and

1.0 x[tex]10^{15}[/tex]

right away you can see the difference, right?

the lower two numbers are the same as the upper two numbers ,  just to be clear.

also, if the number is much messier  like this

2,254.2356111142254  then it's good to put into scientific notation as

2.254 x [tex]10^{3}[/tex]

scientific notation always puts the decimal after the very 1st digit never like this

22.54 x[tex]10^{2}[/tex]

that's not correct scientific notation.  The decimal always goes right after the 1st digit like this

3.00 x[tex]10^{8}[/tex]  Km/s  maybe you'll recognize this as a very close approximate  for the speed of light?      anyway, hope that helps

What is the perimeter of the rectangle??

Answers

The perimeter is 46 cm

Answer:

46 cm

Step-by-step explanation:

perimeter is just all the lengths of all the sides added up.

can you please help that will be super kind of u to do that

Answers

Answer:

B

Step-by-step explanation:

I think your supposed to just count the dots

Answer:

B. 18

Step-by-step explanation:

The number of observations here means every time they saw how many pennies someone brought in. So you count up the total number of dots from 0-50 on here, and there are 18.

NO websites or fake links, inappropriate comments, wired, or not helping comments our your reported and show me your steps to each problem

Answers

It’s correct because fake websites are bad in a way it is.

Emmet had c caramels. Then his sister took 5 of the caramels. Write an expression that shows the number of caramels Emmet has left.

Answers

Answer:

C - 5

Step-by-step explanation:

We know

Emmet had c caramels

His sister took 5 caramels, that means subtract 5, so the equation is

c - 5

plzzzzz help show ur work to get brainiest im almost out of timeeeee

Answers

Answer:

4n^6+3n^4+5n^2

Step-by-step explanation:

(9n^6-7n^4+9m^2)-(5n^6-10n^4+4n^2)

(9n^6-5n^6)+(7n^4+10n^4)+(9n^2-4n^2)

4n^6+3n^4+5n^2

If this helps please mark as brainliest


[tex]4x \sqrt[ + 15 - 15]{?} [/tex]

Answers

Answer:

please what subject is this

Two angles of a quadrilateral measure 200° and 50°. The other two angles are in a ratio of 2:9. What are the measures of those two angles?

Answers

Answer:

20° and  90°

Step-by-step explanation:

Let 2x = measure of 1st angle

then 9x =  measure of 2nd angle

The sum of the measures of the angles of a quad is 360

200 + 50 + 2x + 9x = 360

250 + 11x = 360

11x = 110

x = 10

2x = 20°

9x = 90°

Find output, g, when the input, r, is 4. g= 25-3r

Answers

when the input r, is 4, then the output g, is 13.



The function g = 25 - 3r gives the output g when the input r is given.

If we substitute r = 4 into the equation, we get:
g = 25 - 3×4
g = 25 - 12
g = 13

Therefore, when the input, r is 4, the output g, is 13.


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whats the answer? please help!

Answers

Answer:

Step-by-step explanation:

we konw the speed of burn is 1.25 inchs per hour. so, the left candle is

15-1.25t. the answer is L=15-1.25t

if there were 125 students in 5 buses what is the ratio of students to buses

Answers

Answer:

125:5

Step-by-step explanation:

obvious.

Other Questions
Select the correct answerWhich function has the same graph as x+y= 11OA X=-y+11OB fx= -x+11OC (X) = x-11OD. x) = y-11 28. How many formula units are found in 0.250 moles of potassium nitrate?2.41 x 1024 formula unitsO 1.5x1023 formula units4.15x10-25 formula unitsO 6.022 x 1023 formula units Create a program for the given problems using one-dimensional array. Program to identify if the input number is odd or even. How do you find the horizontal asymptote and Y intercept? P=-3w+9 solve for wPls help Which of the following must always be true as the quantity of output increases? a. Marginal cost must rise. b. Average total cost must rise. c. Average variable cost must rise. d. Average fixed cost must fall. The scores on the last math quiz are summarized in the following frequency table:Score10 98764 3 2 1 0753 2100100Frequency 6The information is then put into the following histogram:Frequency5432101 2 3 4 5 6 7 8 9 1051Score How many liters are in 4.78 gallons? * PLEASE HELP!!!Lesson 49 Practice: Reflexive VerbsChoose whether to conjugate the verbs in the following sentences, or leave them in theinfinitive. Then, translate these sentences into English.Note: Remember that you cannot put two conjugated verbs next to each other. Just likewhen you learned to use the verb gustar, you would conjugate the first verb and leave thesecond verb in the infinitive. (Me gusta caminar. - I like to walk.) With reflexive verbs, youwould leave the second verb in the infinitive but use the correct reflexive pronoun to matchthe subject. If the sales tax in your city is 12% and your item cost $97, how much tax would you pay on that item? Please give two examples of verbal irony in the book Hatchet. (Include the page where it was found too) READING COMPREHENSIONRead Struck by Lightning and answer questions 1-7:Let us enjoy reading this Chinese Story of 'Struck by Lightning' .A valet was riding behind his master, the aristocratic Chen Yu. Chen Yu turned round and when he saw his valet lagging far behind, yelled at him to ride faster. With great effort, the valet caught up with his master."Stay right behind me!" roared Chen Yu."My horse is old, master," said the valet. "It cannot keep up with yours.""That's because you've not fed it!" said Chen Yu, angrily, and gave the lad such a blow on his head that it nearly unhorsed him.They continued on their journey. Chen Yu's anger soon subsided but the valet smoldered. It was not the first time his master had hit him and he had begun to resent being used as a punching bag.As he brooded, the sky became overcast and it began to thunder. Chen Yu was afraid of thunder and looked up fearfully at the sky.When it thundered again, he closed his eyes tightly and hid his face in the horse's mane. His valet noticed his discomfort and a mischievous idea entered his head.When next it thundered, the valet rode up behind his master and gave him a blow on the back of his head, at the same time shouting: "Lightning!"Chen Yu thought he had been struck by lightning and slumped onto the back of his horse. After some time he raised his head again. When again it thundered the valet gave him another blow, shouting as before. This happened again and again. On the tenth occasion, the aristocrat fell from his horse and became unconscious.The valet dismounted and sat beside him. He felt remorse for what he had done. After all, the man was his master and also, much older than him. When Chen Yu began to stir, the boy quickly lay down and closed his eyes. Chen Yu got up and was pleased to see that his valet too had been knocked unconscious. He began to shake him. The lad opened his eyes and pretended to be dazed."What happened, master?" he said."Lightning hit you just once and you became unconscious!" laughed Chen Yu. "I was hit ten times before I fell."When the storm had subsided they resumed their journey. Chen Yu felt that the gods had punished him for his cruelty to his manservant and from then on never hit the valet again.1What caused the valet to feel bitter?(1 Point)A. frequent abuse from his masterB. being forced to ride on an old horseC. his inability to ride as fast as his masterD. his inability to feed himself and his horse2 Chen Yu's anger soon subsided but the valet smouldered. The word 'smouldered' has been used to mean that the valet............(1 Point)A. felt guilty and wanted to apologiseB. tried hard to forget about the incidentC. felt very strongly but didn't express itD. became angry with his master for the first time3Why was Chen Yu pleased to see the valet unconcious?(1 Point)A. He was happy that he woke up first.B. He took it as proof that he was stronger.C. He realised that the gods agreed with him.D. He wanted his valet punished for riding slowly.4I was hit ten times before I fell. Which of the following best describes the tone of the above line?(1 Point)A. angryB. arrogantC. sarcasticD. Humourous5Which of these best describe Chen Yu?(1 Point)A. witty and cheerfulB. greedy and jealousC. strong and intelligentD. short tempered and proud6The last paragraph reveals that Chen Yu is..........(1 Point)A. wiseB. religiousC. stubbornD. forgivingNext How do relationships among organisms help ecosystems thrive? Provide at least 6 sentences. Mighty long way chapter 11 gist What oil was the main way to light homes and factories at night. Deborah is writing a proposal to solicit business from a potential client. She should expect to spend the most time on ________. a class is planning a field trip to the aquarium. The cost of a ticket is $25.95. With the cost of transportation, each student will pay $36.00 to go on the field trip. Jay wants to know how much he will pay for transportation. Which equation will help jay find the cost of transportation,t? Your driveway is rectangular in shape and measures 18 feet wide and 29 feet long. Calculate the area of your driveway.a.261 square feetc.250 square feetb.522 square feetd.500 square feet An airplane is flying at a standard altitude of 5 km. A pitot tube mounted at the nose measures a stagnation pressure of 0. 957 bar. Assume the airplane is flying at high subsonic speed and flow is compressible. Required: Calculate the velocity of airplane You may need to use the appropriate technology to answer this question. A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours of Sleep Age Group 39 or younger 40 or older Fewer than 6 36 34 6 to 6.9 60 57 7 to 7.9 79 77 8 or more 65 92 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. H0: Hours of sleep per night is independent of age. Ha: Hours of sleep per night is not independent of age. H0: The proportion of people who get 8 or more hours of sleep per night is not equal across the two age groups. Ha: The proportion of people who get 8 or more hours of sleep per night is equal across the two age groups. H0: Hours of sleep per night is not independent of age. Ha: Hours of sleep per night is independent of age. H0: Hours of sleep per night is mutually exclusive from age. Ha: Hours of sleep per night is not mutually exclusive from age. Correct: Your answer is correct. Find the value of the test statistic. (Round your answer to three decimal places.) What is the p-value