The barista at The Sweet Slice Cafe kept track of how many customers ordered each type of drink yesterday.
hot chocolates 50
iced teas
12
espressos
13
Americanos
3
What is the probability that a randomly selected customer ordered an iced tea?
Write your answer as a fraction or whole number.
P(iced tea) =

Answers

Answer 1

Using the probability we know that the chances of a customer ordering an iced tea is P(E) = 2/13.

What is probability?

Science uses a figure called the probability of occurrence to quantify how likely an event is to occur. It is written as a number between 0 and 1, or between 0% and 100% when represented as a percentage.

The possibility of an event occurring increases as it gets higher.

The study of events that fit into a probability distribution is known as statistics.

So, we know that:

hot chocolates = 50

iced teas = 12

espressos = 13

Americanos = 3

Then, the probability of ordering an iced tea would be:

P(E) = Favourable events/Total events

P(E) = 12/78

P(E) = 6/39

P(E) = 2/13


Therefore, using the probability we know that the chances of a customer ordering an iced tea is P(E) = 2/13.

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Related Questions

3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara​

Answers

The time Jack left Santa Clara is 1 : 55 pm

What is word problem?

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Can you give me proably a little step by step to the answer so I can understand it a bit more?

Can you give me proably a little step by step to the answer so I can understand it a bit more?

Answers

Answer:

120 square inches.

Step-by-step explanation:

This is a regular octagon. (It has 8 equal sides). You have enough information to find the area of 1 triangle.label the bottom line as 5.Draw two lines from the center to each end of the bottom 5 inch line.That gives you 1 triangle. Find the area of that 1 triangle.

Area = 1/2 b * hb = 5h = 6Area = 1/2 * 5 * 6Area = 15.

Now here's the actual answer.You have 8 such triangles. The area of the octagon is 8 * 15 = 120 square inches.

The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?

Answers

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

If each quadrilateral below is a kite, find the missing measures.

If each quadrilateral below is a kite, find the missing measures.

Answers

Answer:

F and H are both 121 degrees

Step-by-step explanation:

"A kite has 4 interior angles and the sum of these interior angles is 360°. In these angles, it has one pair of opposite angles that are obtuse angles and are equal." - Cue math

Ok, so the two acute angles add up to 118 degrees, and in order to find the remaining angles we need, subtract 118 from 360 to get 242. Because the two obtuse angles are equivalent, divide 242 by 2 to get the measure of each.

Find the value of y.

Find the value of y.

Answers

The value of y is 4√3

What are similar triangles?

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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A civil servant had a salary of Rs. 9600. Tax up to
Rs. 85000 per year would be exempted. If he paid
Rs. 377.50 as a tax per month, how much percent of
tax was imposed ?
(Ans: 15 %​

Answers

Answer:

Step-by-step explanation:

The question is misleading. It was not specified that his salary is Rs 9,600 per month. That is 115,200 yearly. Of that, 115,200- 85,000 = 30,200 is taxable.

tax = Rs 377.50/month = Rs 4,530/year

4,530/30,200 = 0.15 = 15%

Answer these equations. Fill in the blanks with these numbers: 12,8,9 and 4

(36 divided by __)-(36 divided by __)=5

(__x3)-__=12

Answers

Answer:

I) 36 ÷ 4 - 36 ÷9=5

ii). 8×3-12=12

find the root for (-1+i)^1/3​

find the root for (-1+i)^1/3

Answers

Answer:

E. None of the above.

Step-by-step explanation:

The n-th root of a complex number can be calculated by the De Moivre's Theorem:

\(z^{1/n} = r^{1/n}\cdot \left[\cos \left(\frac{\theta + 2\cdot k\cdot \pi}{n} \right)+i\,\sin \left(\frac{\theta + 2\cdot k\cdot \pi}{n}\right)\right]\), for \(k \in \mathbb{N}_{O}\) (1)

Where:

\(n\) - Grade of the root.

\(r\) - Norm of the complex number.

\(\theta\) - Direction of the complex number, measured in radians.

\(k\) - Index of the solution.

If we know that \(z^{1/3} = (-1+i)^{1/3}\), then the root of the number is:

Norm

\(r = \sqrt{(-1)^{2}+1^{2}}\)

\(r = \sqrt{2}\)

Direction

\(\theta = \tan^{-1} \left(\frac{1}{-1}\right)\)

\(\theta = \frac{3\pi}{4}\)

If \(k = 0\), then the root of this number is:

\(z^{1/3} = 2^{1/6}\cdot \left[\cos \left(\frac{\frac{3\pi}{4} }{3} \right)+i\,\sin \left(\frac{\frac{3\pi}{4} }{3} \right)\right]\)

\(z^{1/3} = 2^{1/6}\cdot \left[\cos \frac{\pi}{4}+i\,\sin \frac{\pi}{4} \right]\)

\(z^{1/3} = 2^{1/6}\cdot \left[\cos 45^{\circ}+i\,\sin 45^{\circ}\right]\)

Hence, the right answer is E.

A new building in the shape of a square pyramid is to be constructed. The slant height will be five times the side length of the base. There will be between 20,000 square feet and 50,000 square feet of construction material used for the outside of the building. What would be the maximum possible side length of the base of the building? Round your answer to the nearest foot.

Please explain how to solve this problem, not just the answer.

Answers

The area of the square pyramid building is the amount of space on it

The maximum base length of the building is 67.42 cm

How to determine the maximum side length?

The given parameters are:

Base = b

Slant height (l) = 5b

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * b * 5b

Evaluate the product

L = 10b^2

The total surface area is calculated using:

T = L + b^2

So, we have:

T = 10b^2 + b^2

Evaluate the sum

T = 11b^2

The maximum surface area is 50,000 square feet

So, we have:

11b^2 = 50000

Divide both sides by 11

b^2 = 50000/11

Take the square root of both sides

b = 67.42

Hence, the maximum base length of the building is 67.42 cm

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Answer: 71 feet

Step-by-step explanation:

Let's assume that the side length of the base of the square pyramid is x. Then, the slant height of the pyramid would be 5x, as given in the problem.


The lateral surface area of a square pyramid can be calculated using the formula:


Lateral surface area = (perimeter of base) × (slant height) / 2

The perimeter of the square base is 4x. So, the lateral surface area of the square pyramid can be written as:

Lateral surface area = 4x × (5x) / 2 = 10x^2

We are told that the construction material used for the outside of the building is between 20,000 square feet and 50,000 square feet. So, we can set up the following inequality:

20,000 ≤ 10x^2 ≤ 50,000

Dividing both sides by 10, we get:

2000 ≤ x^2 ≤ 5000

Taking the square root of both sides, we get:

44.7 ≤ x ≤ 70.7

Since we are looking for the maximum possible value of x, we can round 70.7 up to the nearest foot, which is 71 feet.

Therefore, the maximum possible side length of the base of the building is 71 feet.

Find probability of the sum greater than or equal to 11 with 2 dice

Answers

Answer:

Step-by-step explanation:

There are 2 ways to make 11. Pretend that one die is red and the other green.

red        green

5              6

6              5

And there is just one way to make 12

red          green

6               6

So you have 3 ways to succeed.

The total number of ways to throw to dice = 6 * 6

P(11 or 12) = 3/36 = 1/12

So one in 12 times you should get a result of 11 or 12.

Step by Step please, list all information given by the marks on the diagram.

Step by Step please, list all information given by the marks on the diagram.

Answers

Answer:

C

Step-by-step explanation:

(4x + 1) and 57 are vertically opposite angles and are congruent, so

4x + 1 = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Trapezoid ABCD was transformed to produce trapezoid A'B'C'D'. Which statement justifies why the two figures are congruent? A. Trapezoid ABCD was dilated to produce trapezoid A'B'C'D'. B. By definition, transformations always produce congruent figures. C. The transformations applied to trapezoid ABCD were rigid transformations. D. The transformations applied to trapezoid ABCD were not rigid transformations.

Answers

Answer:

C

Step-by-step explanation:

Trapezoid ABCD was transformed to produce trapezoid A'B'C'D'.

"the two figures are congruent" = the 2 figures have ≅ sides and ≅angles

❌A. Trapezoid ABCD was dilated to produce trapezoid A'B'C'D'.

Dilation will change the measure of the sides

❌B. By definition, transformations always produce congruent figures.

Not all transformations produce ≅ figures, for example dilation

✅C. The transformations applied to trapezoid ABCD were rigid transformations.

A rigid transformation does not change the shape and the size of a figure therfore the 2 figures have ≅ sides and ≅angles

❌D. The transformations applied to trapezoid ABCD were not rigid transformations.

Answer: The transformations applied to trapezoid ABCD were rigid transformations.

(C)

Step-by-step explanation:

Trapezoid ABCD was transformed to produce trapezoid A'B'C'D'. Which statement justifies why the two figures

Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue, how much shaving cream does she need?​

Answers

The ounces of shaving cream will be 230 ounces.

How to illustrate the ratio?

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue ,the shaving cream will be:

= 56 ÷ 7/15

= 56 × 15/7

= 120

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A store has 2 employees that earn 173 dollars altogether. If they all earn the same amount, how much does each employee earn?

Answers

Answer:

\(173 \div 2 = 86.5 \\ \)

Step-by-step explanation:

Each of the two employees earn $86.50

AABC is dilated by a factor of 2 to produce ▲A'B'C'. Which statement is not true? 62⁰ 34 16 A 28° 30​

Answers

The statement that is not true is (a) A = 74 degrees

How to determine which statement is not true?

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

The dilation of ABC by a scale factor of 2

This means that

Scale factor = 2

The general rule of dilation is that

Corresponding sides are similar i..e they have the same ratioCorresponding angles are equal

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

AC = 2 * 5 = 10

C = 53 degrees

BC = 2 * 3 = 6

A = 37 degrees

Hence, the statement that is not true is (a) A = 74 degrees

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AABC is dilated by a factor of 2 to produce A'B'C'. Which statement is not true? 62 34 16 A 28 30

1.2.3 domain and range practice help me find out why it is a function

1.2.3 domain and range practice help me find out why it is a function

Answers

It's a function because there's only one y-value for any x-value used by the graph.  That's the definition of a function: exactly one y-value (output) for each x-value (input).

Pick and x-value and ask, "What's the y-value for this x-value on the graph?"  You only get one answer.

∠A ≅ ∠B, ∠C is a complement of ∠A. m∠C = 25°; m∠B =

Answers

Using the fact that ∠A is congruent to ∠B and ∠C is a complement of ∠A, we determined that the measure of ∠B is 65° based on the given measure of ∠C as 25°.

If ∠A is congruent (≅) to ∠B and ∠C is a complement of ∠A, we can use the properties of complementary angles to find the measure of ∠B.

Given that m∠C = 25° and ∠C is a complement of ∠A, we know that ∠A + ∠C = 90°.

Since ∠A is congruent to ∠B, we can replace ∠A with ∠B in the equation:

∠B + ∠C = 90°.

Substituting the given value, we have:

∠B + 25° = 90°.

To isolate ∠B, we subtract 25° from both sides of the equation:

∠B = 90° - 25°.

Simplifying, we get:

∠B = 65°.

Therefore, the measure of ∠B is 65°.

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The solution to a system of two linear equations is x = 3; y = 9.
How could the intersection of the graphs of the two equations be located on a coordinate grid?
What does the solution to a system of two linear equations mean on the graph?
Can you have more than one solution to a Linear system of equations?
Can you have exactly two solutions to a Linear system of equations?
Can you have no solutions to a Linear system of equations?
:: From the origin, move 3 units up and 9 units right
:: The point where the lines cross the y-axis
:: The point that the two lines DO NOT have in common
=
:: No, because lines are straight
POSSIBLE POINTS: 13.0-
From the origin, move 3 units right and 9 units up
::The point of intersection of the two lines
Yes, if both lines are the same exact line :: Yes, if the lines are parallel
:: Yes, because the lines could cross each other twice

Answers

The lines intercept at the point (3, 9), and:

A system of linear equations can have one solution, no solutions, and infinite solutions, these are the only options.

How could the intersection of the graphs of the two equations be located on a coordinate grid?

If we have a system of equations, the solutions of the system are the points where the graphs of the equations intercept.

Here we know that the solution of the system of linaer equations is (3, 9), this means that the interception of the linear equations is at that point.

Can you have more than one solution to a Linear system of equations?

Yes, you can have:

no solution.

one solution

infinite solutions.

These are the 3 options.

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Which equation is a function of x?

Answers

Answer:

x" means that the value of y depends upon the value of x, so: y can be written in terms of x (e.g. y = 3x ). If f(x) = 3x, and y is a function of x (i.e. y = f(x) ), then the value of y when x is 4 is f(4), which is found by replacing x"s by 4"s . this should help I asked my brother for the answer and he told me to put this happy to help :0

Part 1: Identify key features and graph a parabola from standard form.
Answer the following questions to determine the key features of the parabola based on the
equation shown, and then graph it
12(x + 3) = (y-2)^2


a) What is the axis of symmetry of the parabola? Explain how to determine this from the equation (1
point)


b) What is the vertex of the parabola? (1 point)


c) What is the focus of the parabola? (2 points)


d) What is the directrix of the parabola? (2 points)


e) Sketch a graph of the parabola and label the vertex,focus, directrix, and axis of symmetry (4 points)

Answers

Answer:

a) What is the axis of symmetry of the parabola? Explain how to determine this from the equation (1

point)

b) What is the vertex of the parabola? (1 point)

Step-by-step explanation:

Your friend printed a picture of a regular 18-gon. She wants to cut the 18-gon into right triangles. If she divides the figure into 36 right triangles, what are the measures of the non-right angles of each triangle?

Answers

The measures of the non-right angles of each triangle are 40 degrees and 50 degrees.

The sum of the interior angles of a regular 18-gon can be found using the formula:

S = (n - 2) × 180 degrees

n is the number of sides of the polygon.

Substituting n = 18 we get:

S = (18 - 2) × 180 degrees

= 2880 degrees

The 18-gon into 36 right triangles need to draw 18 lines from the center of the polygon to its vertices dividing the polygon into 36 congruent sectors each with a central angle of 360 degrees / 18 = 20 degrees.

Each sector is an isosceles triangle with two sides of equal length radiating from the center of the polygon.

The vertex angle of each isosceles triangle is equal to twice the central angle or 40 degrees.

Since the vertex angle of a right triangle is 90 degrees the two non-right angles of each right triangle are 40 degrees and 50 degrees.

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The price h of a recently bought house plus 10% property tax

Answers

9514 1404 393

Answer:

  1.1h

Step-by-step explanation:

The property tax is 10% of h, or 0.1h. Then the total of the price and the tax is ...

  h + 0.1h = 1.1h

Change each of the mixed numbers below into a fraction 1 3/8

Answers

Answer:

11/8

Step-by-step explanation:

1 3/8 = 1 + 3/8 = 1/1 + 3/8 = 8/8 + 3/8 = 11/8

find the slope and y intercept for 15x= -2y-14

Answers

15x = -2y - 14
15 x + 14 = -2y
(-15/2)x - 7 = y
y = (-15/2)x - 7
Slope = -15/2
Y intercept = -7

A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable. The results are shown in the Venn diagram.

A circle labeled satellite 55 overlaps a circle labeled cable 75. Overlap is labeled 12. 4-column table with 3 rows. First column has no label with entries satellite, not satellite, total. Second column is cable with entries blank, 51%, blank. Third column is not cable with entries a, b, blank. Fourth column is labeled total with entries blank, blank, 100%.
What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.

a = 82%, b = 3%
a = 38%, b = 50%
a = 38%, b = 3%
a = 93%, b = 19

Answers

The correct answer is:

a = 43%

b = 88%

To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.

From the Venn diagram, we can gather the following information:

The circle labeled "satellite" has a value of 55.

The circle labeled "cable" has a value of 75.

The overlap between the two circles is labeled as 12.

Using this information, we can complete the table:

First column - "Satellite":

Entries: Satellite, Not satellite, Total

Total: 55 (as given in the Venn diagram)

Second column - "Cable":

Entries: Blank, 51%, Blank

To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).

Cable: 75 - 12 = 63

Therefore, the entry becomes: Blank, 51%, Blank

Third column - "Not Cable":

Entries: a, b, Blank

To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).

a: 55 - 12 = 43

To find the value for "b," we subtract the overlap (12) from the total number of households (100).

b: 100 - 12 = 88

Therefore, the entries become: 43, 88, Blank

Fourth column - "Total":

Entries: Blank, Blank, 100%

The total number of households is given as 100% (as stated in the question).

Therefore, the values of a and b in the relative frequency table are:

a = 43% (rounded to the nearest percent)

b = 88% (rounded to the nearest percent)

Hence, the correct answer is:

a = 43%

b = 88%

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In a city election, two people ran against each other to be the next mayor. Candidate 1 received 24,000votes and candidate 2 received 80,000
.

Answers

Answer:

What is the question You are just stateing facts?

Step-by-step explanation:

A quadrilateral is shown.
H
6.5
5.51
What is the area of the quadrilateral? Enter the answer in the box.

Answers

The calculated area of the quadrilateral is 35.82 square units.

What is the area of the quadrilateral?

Given that

BAse = 6.5

Height = 5.51

To find the area of a quadrilateral, we need to multiply the base by the height.

Area of quadrilateral = base x height

Substituting the given values, we get:

Area = 6.5 x 5.51

Area = 35.815

Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.

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find length of RT

172
86
21
43

find length of RT 172862143

Answers

Answer:

b

Step-by-step explanation:

a segment joining the midpoints of two sides of a triangle ( midsegment ) is half the length of the third side.

PQ is a midsegment of the triangle , then

PQ = \(\frac{1}{2}\) RT , that is

15x - 17 = \(\frac{1}{2}\) (23x - 6) ← multiply both sides by 2 to clear the fraction

30x - 34 = 23x - 6 ( subtract 23x from both sides )

7x - 34 = - 6 ( add 34 to both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Then

RT = 23x - 6 = 23(4) - 6 = 92 - 6 = 86

A man gave 90000.00 to his two daughters Jane and Lydia, 75.00 was given to Lydia to pay her load. After sharing the money Lydia has twice as
much as Jane. How much did each received?​

Answers

Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

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Can I please get some help I’ve been stuck on this question for a while!

Can I please get some help Ive been stuck on this question for a while!

Answers

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

How many minutes of the ride are spent higher than 28 meters above the ground?

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Other Questions
Societies that are characterized by groups of people linked by age, gift exchanges, or marriage, a lack of central government, leadership roles that are open to everyone, and an egalitarian set of values are? A)chiefdoms. B) bands. C) tribes. D) states. 1. MnO is an example of what type of bond? a covalent b ionic c polyatomic ion2. Cl is an example of a cation, anion, or polyatomic ion a polyatomic ion b anion c cation PLEASE HELP ASAP What is the m and b for this graph?? What were 4 effects or impacts of the Reformation? Which of the following is not a goal of supply chain management? 1. decrease inventory levels 2. increase cycle time 3. improve customer service Dans les Terres du Milieu, rien ne va plus. Le puissant Sauron, seigneur du Mordor, a envoy ses armes l'assaut de toutes les terres libres. Chacun doit choisir son camp. Eomer, prince de Rohan, et Boromir, roi de tous les Humains, ont alli leurs forces pour dfendre Fort le Cor, place forte du royaume de Gondor, contre la terrible arme du Mordor. Mais un des murs d'enceinte du Fort a cd.Il tait prsent minuit pass. Le ciel tait totalement noir, et l'immobilit de l'air lourd annonait l'orage. Un clair aveuglant roussit soudain les nuages. La foudre ramifie' frappa les collines l'est. Pendant un instant blouissant, les guetteurs des murs virent tout l'espace qui les sparait du Foss clair d'une lumire blanche: il bouillonnait et fourmillait de formes noires, les unes larges et trapues, les autres grandes et sinistres, avec de hauts casques et des boucliers noirs. Des centaines et des centaines se dversaient au bord du Foss et travers la brche. La mare sombre montait jusqu'aux murs, d'escarpement en escarpement. Le tonnerre roulait dans la valle. Une pluie cinglante se mit tomber. 5Des flches, aussi drues que la pluie, sifflaient au-dessus des parapets' et tombaient encliquetant et ricochant sur les pierres.10Les assaillants s'arrtrent, drouts par la menace silencieuse du roc et du mur. A chaque instant, des clairs dchiraient les tnbres. Puis, les Orques' poussrent des cris aigus, agitant lances et pes et tirant une nue10 de flches sur tout ce qui se rvlait sur les parapets ; et les hommes de la Marche", confondus, croyaient voir un grand champ de bl noir, secou par une tempte guerrire et 15 dont chaque pi luisait d'une lumire barbele. Des trompettes d'airain12 retentirent. Le flot des ennemis dferla; une partie se porta contre leMur du Gouffre, et une autre vers la chausse et la rampe menant aux portes du Fort le Cor. L taientrassembls les plus normes des Orques et les montagnards sauvages du Pays de Dun. Aprs unmoment d'hsitation, ils se portrent en avant. Il y eut un clair et l'on put voir, blasonne13sur20 chaque casque et chaque bouclier, l'affreuse main de l'Isengard4. Ils atteignirent le sommet durocher; ils s'avancrent vers les portes.Alors enfin, vint une rponse : une tempte de flches les accueillit en mme temps qu'une grle des pierres. Ils flchirent, se dbandrent et s'enfuirent; ils chargrent encore et se 16 dbandrent plusieurs reprises; et chaque fois, comme la mare montante, ils s'arrtaient en un 25 point plus lev. Les trompettes retentirent de nouveau, et une foule d'hommes hurlants bondit en avant. Ils tenaient leurs grands boucliers au-dessus d'eux comme un toit, et ils portaient parmi eux les troncs de deux puissants arbres. Derrire se pressaient des archers orques, qui lanaient une grle de traits sur les archers des murs. Ils atteignirent les portes. Les arbres, balancs par des bras vigoureux, frapprent les battants avec un grondement fracassant. Quand un homme tombait, cras par une 30 pierre prcipite d'en haut, deux autres s'lanaient pour prendre sa place. Maintes et maintes fois, lesgrands bliers" se balancrent et s'abattirent. Eomer et Aragorn se tenaient ensemble sur le Mur du Gouffre. Ils entendaient le rugissementdes voix et le bruit sourd des bliers; et tout coup, la lumire d'un clair, ils virent menaait les portes.le pril qui35 > Courant toutes jambes, ils filrent le long du mur, grimprent les escaliers quatre quatre et passrent dans la cour extrieure sur le Roc. Tout en allant, ils runirent une poigne de vigoureuxsabreurs. Il y avait dans un angle du mur du fort une petite poterne" qui ouvrait sur l'ouest, un endroit o la falaise s'avanait jusqu' elle. De ce ct, un troit sentier descendait la grande porte, entre le mur et le bord pic du Rocher. Eomer et Aragorn s'lancrent ensemble par la porte, suivis de prs par leurs hommes. Les deux pes sortirent du fourreau en un mme clair. 40> >Chargeant du ct, ils se rurent sur les hommes sauvages. Anduril se leva et retomba,luisante20 d'un feu blanc. Un cri s'leva du mur et de la tour: < Anduril! Anduril part en guerre. La lame qui fut brise21 brille de nouveau ! >>J.R.R. TOLKIEN, Le Seigneur des anneaux, Livre III, chap.7, trad. Francis Ledoux ChristianBourgois Editeur, 1972.1/Analyse le composition de ce texte:dlimite ce texte en trois grandes parties et donne un titre chacune dentre elle2/ou et quand cette scne de bataille se passe-t-elle? Why is this element consideredunreactive or inert?P: 10N: 10 The following statements are false EXCEPT: *The final dilution is always the first tube dilution times 10The final dilution in a serial dilution is the sum total of all the dilutionsThe final dilution in a serial dilution is the product of all the dilutions that led up to it.The final dilution in a serial dilution is the original number multiplied by 100 Engineering Physics The x and y component of a vector is 3 and 5, respectively. What is the angle between the vector and positive x-axis? when studying migration, a low cost of living, good jobs, and a mild climate are examples of what? find the sum and difference of the greatest and the least six digit number formed by the digits 2,0,4,7,6,5 using each digit only once In the course notes, we've looked at a hedonic model that models the price of a home as a function of its attributes. Suppose we think that square footage (sqft) should always be included in a hedonic model, resulting in the following model price =+sqft++ What other additional independent variables do you think should be included in the hedonic regression? In other words, what variables would affect how much you are willing to pay for a home other than square footage? Remember that we've discussed many special types of variables including dummy variables, logger variables, quadratics, and interaction terms. Be sure to include some justification for why those variables should be included. Write an example of a salutation? I Many psychological disorders occur because of the impact of numerous genetic influences. this is referred to as a:________ Which of the following represents the greatest percent error?A $10 underpayment on a $30 restaurant billB Hope to make 20 bracelets in a week and actually make 25CActual ->Error->D Incorrectly estimate a length of 100 cm to be 125 cm 2x2y= 10 Standard to Slope Intercept Form Human population growth in and around cities is called?? What is the solution to to the negative square root of 90 to the nearest integer ? a person can transmit HIV 2-3 days after becoming infected, but the requirements must include a large ____ _____ and a ____ host. What is the relationship between frequency, wave length, and speed of a wave?