Suppose we flipped a coin and rolled a die, what is the probability of getting a tail on the coin or a 3 on the die?

Answers

Answer 1

Answer:

The probability of a head of a die is 1/6 and that of a side of a coin


Related Questions

Decide whether the rates are equivalent 17 heartbeats in 15 seconds

Answers

Well start off by simplifying each rate:
17/15 --> can't be further simplified
68/60 = 34/30 = 17/15
So then, yes these rates are equivalent.
Also, you can divide 17/15 and 68/60 and compare the quotients.

"A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 72 feet per second. The height in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=-16 t²+72 t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at second(s) after launch.
(Simplify your answer.)
The maximum height reached by the object is feet.
(Simplify your answer.)"

Answers

The rocket reaches its maximum height at 2.25 second(s) after launch

The maximum height reached by the object is 88 feet.

What is the maximum height the rocket reached?

Given function:

h(t) = -16t² + 72t + 7

By differentiating the function, we have

h'(t) = -32t + 72

Set the function to 0

-32t + 72 = 0

32t = 72

Divide both sides by 32

t = 2.25

Hence, the time is 2.25 seconds

To find the maximum height reached by the rocket,

Substitute t = 2.25 into

h(t) = -16t² + 72t + 7

h(2.25) = -16(2.25)² + 72(2.25) + 7

= -16(5.0625) + 162 + 7

= -81 + 162 + 7

h(2.25) = 88

In conclusion, the maximum height the rocket reached is 88 feet

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A population of lizards in a large region doubles every year. The number of lizards can be
modeled by the equation y = 500 * 2 ^ x where
× is the number of vears after a researcher
measures the population size . When x = - 3
-3what does the value of y represent ?

Answers

The value of y when x = -3 represents that the population of the lizard three years before the researcher measures the population size is 63

How to interpret the function at x = -3?

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

y = 500 * 2 ^ x

The above equation is an exponential function

Such that

x is the number of years after a researcher measures the population size

When x = -3, we have the equation to be

y = 500 * 2^-3

Evaluate the product

y = 62.5

Approximate

y = 63

This means that the value of y at x = -3 is 63

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-8-x=x-4x for solving linear equations: variable on both sides. Please hurry I need the answer quickly.

Answers

Answer: -4

Step-by-step explanation:

1. Add x on both sides

-8-x=x-4x → -8=2x-4x

2. Combine like terms

-8=2x-4x → -8=-2x

3. Divide negative 2 from both sides

-8=2x → -4=x

You are visiting Mexico and need to convert your U.S. dollar to the Mexican Peso. How many Mexican Peso will you have from $350?

Conversion Ratio:

$1 = Mex$20.16

Answers

Answer:

Mex$7,056

Step-by-step explanation:

$1 = Mex$20.16

$350 = x

cross multiply

$350 * Mex$20.60 = Mex$7,056

Answer: Mex$7056

Step-by-step explanation:

Make the proportion:

$1         -      Mex$20.16

$350    -          x

[tex]\displaystyle\\x=\frac{ 350(20.16)}{1} \\\\x=350(20.16)\\\\[/tex]

x=Mex$7056

pls help me on this question​

Answers

Answer:

[tex]B. \;\dfrac{24}{40}[/tex]

[tex]C. \;\dfrac{3}{5}[/tex]

Step-by-step explanation:

HELPPPPPPPP! please!
Select all the statements that are true for any value of x.
A. 7x + (2x + 7) = 9x + 7
B. 7x + (2x - 1) = 9x + 1
C. 1/2x + (3 - 1/2x) = 3
D. 5x – (8 - 6x) = -x - 8
E. 0.4x - (0.2x + 8) = 0.2x - 8
F. 6x - (2x - 4) = 4x + 4

Answers

The statements that are true for any value of x are

A. 7x + (2x + 7) = 9x + 7C. 1/2x + (3 - 1/2x) = 3E. 0.4x - (0.2x + 8) = 0.2x - 8F. 6x - (2x - 4) = 4x + 4

How to determine the true statements?

The equations are given as

A. 7x + (2x + 7) = 9x + 7

B. 7x + (2x - 1) = 9x + 1

C. 1/2x + (3 - 1/2x) = 3

D. 5x – (8 - 6x) = -x - 8

E. 0.4x - (0.2x + 8) = 0.2x - 8

F. 6x - (2x - 4) = 4x + 4

Next, we solve one side of the equations and then compare them with the other side

So, we have the following representations

A. 7x + (2x + 7) = 9x + 7

Evaluate

9x + 7 = 9x + 7 --- true

B. 7x + (2x - 1) = 9x + 1

Evaluate

9x - 1 = 9x + 1 --- false

C. 1/2x + (3 - 1/2x) = 3

Evaluate

3 = 3 --- true

D. 5x – (8 - 6x) = -x - 8

Evaluate

11x - 8 = -x - 8 --- false

E. 0.4x - (0.2x + 8) = 0.2x - 8

Evaluate

0.2x - 8 = 0.2x - 8 --- true

F. 6x - (2x - 4) = 4x + 4

Evaluate

4x + 4 = 4x + 4 -- true

Hence, the true statements are (a), (c), (e) and (f)

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What is a zero of the function f(x)=5x-20?

Answers

Answer:

x = 4

Step-by-step explanation:

to find the zero equate f(x) to zero , that is

5x - 20 = 0 ( add 20 to both sides )

5x = 20 ( divide both sides by 5 )

x = 4

then the zero is x = 4

Arianna invests $5700 in a new savings account which earns 5.2 % annual interest, compounded monthly. What will be the value of her
investment after 3 years? Round to the nearest cent.

Answers

The amount will be $6660 after 3 years. It can be solved by the cocept of the compound interest.

What is compound interest?

In compound interest, the interest is added in the principal amount after the end of each term. The value after addition the interest is considered as the principal amount for the next term.

The annual interest is 5.2% hence, monthaly interest will be 5.2\12%

Apply the formula of conpound interest.

[tex]A=P(1+\frac{r}{100})^t[/tex]

Here, A is the total amount after the end of time period t, P is the initial amount, and r is the rate of intrest at which the amount is compounded.

Substitute $5700 for P, 5.2/12% for r and 36 for t. Here t is 36 becasue the amount compounded monthly and there are 36 months in a year.

 [tex]A=\$ 5700(1+\frac{5.2/12}{100})^{36}\\= \$ 6660[/tex]

Hence, the amount will be $6660 after 3 years. It can be solved by the cocept of the compound interest.

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find the slope of the line passing through the points (-6,2) and (-7, 7).

Answers

Answer:

y-2=7(x+6)

Step-by-step explanation:

You got it there bro

19. MODELING In Example 6, 44% of the voters say they plan to reelect the mayor. The poll has a margin of error of ±3% percentage points. Use a model to write and solve an absolute value inequality to find the least and greatest percents of voters who plan to reelect the mayor.

Answers

The absolute value inequality to find the percentages is given as follows:

|P - 44| ≤ 3.

Then the percentages are given as follows:

Least: 41%.Greatest: 47%.

What is the absolute value inequality?

The estimate of the percentage is of:

44%.

The margin of error is of:

±3%.

Both the estimate and the margin of error are taken from the problem.

This means that the absolute difference between the percentage P and the estimate of 44% is of at most the margin of error of 3%, hence the inequality is given as follows:

|P - 44| ≤ 3.

The absolute difference means that the difference can be either positive or negative.

Then the lowest percentage is obtained when:

P - 44 = -3

P = -3 + 44

P = 41.

The highest percentage is obtained when:

P - 44 = 3

P = 3 + 44

P = 47.

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Katie wants to buy a sundress priced at $40.00. If the sales tax is 6%, what is the total amount she must pay for the sundress?
Responses

Answers

Answer:

It should be 42.4

Question
What is the value of x?



Enter your answer in the box.

x =

Answers

The value of x is 4/3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangles be ΔRST and ΔQRT

Now , from the figure

∠S = 90° in the triangle ΔRST

And RS = 2/√3

∠T = 60° in the triangle ΔRST

Now ,

sin 60° = opposite / hypotenuse

           = RS / RT

           = ( 2/√3 ) / RT

We know , sin 60° = √3 / 2

Substituting the value of  sin 60° in the equation , we get

√3 / 2 = ( 2 / √3 ) / RT

Multiply by RT on both sides , we get

RT x ( √3 / 2  ) =  ( 2 / √3 )

Divide by ( √3 / 2  ) on both sides , we get

RT = ( 2 / √3 ) x ( 2 / √3 )

RT = 4 / 3

Therefore , the value of RT = 4/3

Now , from the figure

∠R = 90° in the triangle ΔQRT

and ∠T = 45° in the triangle ΔQRT

So ,

tan 45° = opposite / adjacent

We know tan 45° = 1

Substituting the value for tan 45° = 1 in the equation , we get

1 = opposite / adjacent

1 = x / RT

Multiply by RT on both sides , we get

x = RT

So , x = 4/3

Hence , The value of x is 4/3

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Answer:

x = 3

Step-by-step explanation:

we are here given a figure in which we have to calculate the value of x . The given figure is made up of two right angled triangles , ∆RST and ∆QRT . So , firstly in ∆RST, we have ,

sinθ = p/h = RT/RS

sinθ = RT/2√3

and here θ = 60° , so that,

sin60° = RT/2√3

√3/2 = RT/2√3

RT = 2√3 * √3/2

RT = 3 . . . . . . . (1)

again in ∆RTQ , we have;

tanθ = p/b = RQ/RT

tanθ = x/3 ( from equation 1 )

and here , θ = 45° , so that ;

tan45° = x/3

1 = x/3

x = 3

and we are done!


The amount of carbon 14 present in a paint after t years is given by A(t)=Ae-0.000121. The paint contains 25% of its
carbon 14. Estimate the age of the paint.

Answers

The age of the paint is 14,290.0 years old

What is the rule of half-life?

For any particular drug, understanding the concept of half-life is helpful in calculating steady-state concentrations and excretion rates. Although different drugs have different half-lives, they all adhere to the same principle: 50% of the initial drug dose is eliminated from the body after one half-life.

What is the half-life of carbon 14?

Since radiocarbon (14C) has a half-life of 5700 30 years, it is especially helpful for dating in archaeology. However, the so-called Gamow-Teller ß-decay, an exceptional hindrance to the beta decay from 14C to 14N, is what causes this half-life to be so long.

According to the given question :-

0.18 = e^(-0.00012t)

ln(0.18) = -0.00012t

t = - ln(0.18) / 0.00012 ≈ 14289.98690076605833 ≈ 14,290.0 years old

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pls answerrrr correctly

Answers

The rate of change from the hour 4 to hour 7 is equal to the slope of 0 miles per hour.

How to determine the rate of change of a segment of a graph

The rate of change of a segment of a graph is represented by its slope, the slope that can be determined by the secant line formula:

m = Δd / Δt

Where:

Δd - Change in distance, in miles.Δt - Time, in hours.

First, determine the coordinates of the initial and final points of the graph:

(t₁, d₁) = (4, 120), (t₂, d₂) = (7, 120)

Second, find the rate of change of the segment:

m = (120 - 120) / (7 - 4)

m = 0 mi / h

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find the slope-intercept equation of the line that passes through (3,-1) and has a slope of -1

Answers

Answer:

y= -x+2

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

at the point (3,-1), it is known that x=3 and y= -1.

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

The scatter plot shows the daily oil production in
the United States in the years since 1994. The
equation y=-168x+6,750 is the trend line for the
data. According to the equation of the trend line,
how many thousands of barrels of oil will be
produced daily in the United States 6 years from
1994?
168
5.406
5.742
(3 Points)
6.750
5700
$100
$100
0
5/00

Answers

Answer:

Step-by-step explanation:

168 represents the thousands of barrels of oil will be produced daily in the United States 6 years from 1994

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

The scatter plot shows the daily oil production in the United States in the years since 1994.

The equation y=-168x+6,750 is the trend line for the data.

According to the equation of the trend line, we need to find how many thousands of barrels of oil will be produced daily in the United States 6 years from 1994

In the equation y=-168x+6,750

The 168 represents the thousands of barrels of oil will be produced daily in the United States 6 years from 1994

Hence, 168 represents the thousands of barrels of oil will be produced daily in the United States 6 years from 1994

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A video streaming company offers two monthly plans. Plan A charges $3 per video viewed plus a flat rate of $8 per month. Plant B charges $5 per video viewed and no additional flat rate.

A write and solve an inequality to determine when the cost of viewing n videos using plan A is less that the cost of viewing n video using plan B _________________

Plan A is less expensive when ____________________

Answers

The inequality is 8 + 3 n < 5 n. Plane A is less expensive when n > 4

What is inequality ?

Inequality of wealth in major cities Economic inequality comes in many forms, but two stand out above the rest: wealth inequality as measured by the distribution of wealth and income inequality as measured by the distribution of income.

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse. However, some distinctions are universal.

Plan A: flat rate $8 per month and $3 per video viewed

Plan B: $5 per video viewed

The number of viewing videos is n

∵ The number of viewing videos is n

→ Plan A

∵ The cost per viewing is $3

∵ Cost per month is $8

∴ The cost = 8 + 3 n

→ Plan B

∵ The cost per viewing is $5

∴ The cost = 5 n

We need the cost of viewing n videos using  Plan A is less than the

cost of viewing n videos using Plan B

→ Cost Plan A < Cost Plan B

∵ Cost Plan A is 8 + 3 n

∵ Cost Plan B is 5 n

∴ 8 + 3 n < 5 n

* The inequality is 8 + 3 n < 5 n

∵ 8 + 3 n < 5 n

Subtract 3 n from both sides

∴ 8 < 2 n

Divide both sides by 2

∴ 4 < n

∴ n > 4

* Plane A is less expensive when n > 4

The inequality is 8 + 3 n < 5 n. Plane A is less expensive when n > 4

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Identify the slope and y-intercept of the line below.

Answers

Answer:

Negative slope of 3 so -3x and -9y

Step-by-step explanation:

-3x=-9y

Answer:

slope = -3 ; y- intercept = (0,-9)

Step-by-step explanation:

A (-3,0)

B(0,-9)


slope = (-9-0)/(0-(-3)

-9/3

-3

the number of devices a particular manufacturing company can produce is a function of the number of hours spent making the devices. On average, 4 devices are produced each hour. Assume that devices are produced at a constant rate. Write an equation in two variable that describes the number y, as a function of time the company sends making the devices x

Answers

Answer: y = 4x

Step-by-step explanation: The number of devices a company can produce is a function of the number of hours spent making the devices. On average, 4 devices are produced each hour. If we let x represent the number of hours spent making the devices and y represent the number of devices produced, we can write an equation to describe this relationship as follows:

y = 4x

This equation states that the number of devices produced is equal to 4 times the number of hours spent making the devices. For example, if the company spends 10 hours making the devices, the number of devices produced will be 4 * 10 = 40.

Therefore, the equation y = 4x describes the number of devices produced by the company as a function of the number of hours spent making the devices.


An important formula from chemistry is PV = nRT. Solve the formula for n.

Answers

The solution for n in the chemistry formula is n = PV/RT

How to solve for n in the chemistry formula?

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

Important formula from chemistry is PV = nRT

Write out the formula

So, we have the following representation

PV = nRT

Divide both sides of the equation by R

So, we have the following representation

PV/R = nT

Divide both sides of the equation by T

So, we have the following representation

PV/RT = n

Rewrite the equation as

n = PV/RT

Hence, the solution is n = PV/RT

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Can't do this write this number in standard forms 3,000 + 1,600 + 8/10 + 3 ones what how would you solve this problem

Answers

we get the desired result after solving as 4603.8 .

What is the rule of BODMAS?

In mathematics, the BODMAS rule is a rule or order that is used to condense arithmetic expressions with several operators. When an equation has multiple operators, we must first determine the correct order in which to solve the expression. The BODMAS rule is always  used to resolve the issue of using algebraic symbols.

For this type of problem,

We generally use BODMAS

Here,

B= Bracket

O= Off

D= Divide

M= Multiply

A= Addition

S= Subtraction

Given expression,

3,000 + 1,600 + 8/10 + 3

By following above steps we get,

First we going to divide,

3,000 + 1,600 + 0.8 + 3

Then we move to addition,

4603.8

Hence we get the desired result as 4603.8

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Zoe rode her motorcycle down a straight freeway at 80kilometersperhour for a total of 4hours. There was a car behind her for one-half of that time. How far did Zoe ride while the car was behind her?
Write your answer as a whole number.

Answers

The distance that Zoe rode while the car was behind her was of:

160 kilometers.

How to obtain the distance?

The relation between velocity, distance and time is that the velocity is the distance divided by time, hence the equation is presented as follows:

v = d/t.

The values of the parameters in this problem are given as follows:

Velocity of v = 80 km/h.Time of t = 4 h.

(both of these measures are taken from the first sentence of the problem).

Then the total distance is obtained replacing the values into the equation as follows:

80 = d/4

d = 80 x 4

d = 320 kilometers.

The car was behind her for half the trip, hence the distance that the car spent behind her was of:

d = 0.5 x 320 = 160 kilometers.

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Determine the intercepts of the line. Do not round your answers. -6x+3y=-7−6x+3y=−7minus, 6, x, plus, 3, y, equals, minus, 7 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))

Answers

Answer:

is there a photo because this dosent help

Step-by-step explanation:

There are 22 girls and 28 boys on the dukes team. Write the ratio of boys to total students on the dukes team

Answers

Answer:

28:50

Step-by-step explanation:

22+28=50, and that is the total amount of students. The number of boys go first in the ratio, then total students.

what is 3d-4 if d=1.2

Answers

Answer:

= -0.4

Step-by-step explanation:

3d-4 when d=1.2

3(1.2) - 4

3.6 - 4

= -0.4

Answer: 0.4

Step-by-step explanation:

Equation: 3d - 4

1. Substitute the variable with the given number (d = 1.2)

3(1.2) - 4

2. Solve 3 × 1.2

3.6 - 4

3. Solve

3.6 - 4 = -0.4

What are the advantages and disadvantages of bases other than ten

Answers

The advantages and disadvantages of bases other than ten are shown below.

What is base ten?

The base-10 system is a way to give numbers a place value. As the position of the decimal point determines a number's mathematical value, it is often referred to as the place value number system or the decimal system.

In software systems, number systems with a base of 16 are frequently used. They have the fundamental benefit of being quickly convertible to binary systems.

The advantage of using number bases on 60 is that 60 may be divided by 2, 3, 4, and 6.  Its downside is that it is cumbersome.

Number systems based on 12 provide advantages comparable to those of number systems based on 60, but they give up the advantage of being divisible by 5 for the benefit of a less cumbersome system.

Therefore, base-10 number systems are not the best.

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Find two positive numbers whose difference is 23
23
and whose product is 3408
3408

Answers

The two positive numbers are 71 and 48

How to calculate for the two positive numbers

We shall apply algebra in finding the unknown numbers as follows;

Let us represent the two numbers with the letters x and y

so that;

x - y = 23...(1)

xy = 3408...(2)

from equation (1),

x = 23 + y {adding y to both sides}

putting the value 23 + y for x in equation (2) we get;

(23 + y)y = 3408 {by expansion}

23y + y² = 3408

y² + 23y - 3408 = 0 {we rearrange to get a quadratic equation}

we factorize as follows;

y² + 48y - 71y - 3408 = 0

y(y + 48) - 71(y + 48) = 0

(y + 48)(y - 71) = 0

so by factorization; y = -48 or y = 71

the numbers are positive hence we take y = 71

putting the value 71 for y in equation (2) we get;

x71 = 3408 {divide through by 71}

x = 3408/71

x = 48

Thus; 71 - 48 = 23 and 71 × 48 = 3408, and we can say that the two positive numbers are 71 and 23.

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Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. 18 x minus 15 = 72 50 x minus 25 = 72 18 x minus 9 = 72 3 (6 x minus 3) = 72 x = 4.5

Answers

Answer:

[tex]18x-9=18x-9\\\\3(6x-3)=18x-9\\\\x=4.5[/tex]

Step-by-step explanation:

Each equation is =72. So for the first 4 options, just find equivalent expressions for the left side:

[tex]\frac{3}{5}(30x-15)=18x-9\\\\18x-15\neq 18x-9\\\\50x-25\neq 18x-9\\\\18x-9=18x-9\\\\3(6x-3)=18x-9[/tex]

For x=4.5, must solve original equation:

18x-9 = 72

18x = 81

x = 4.5

Suppose Briana spends an average of 0.5 hours on each assignment from her classes
and 2 hours per day at basketball practice.
a) How much total time would be required for 4 assignments and 2 days of practice?

Answers

Answer:

6 hours I think

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Include the artworks title and its artist in your response. a single na /k atpase pump is present in the plasma membrane of an artificial cell with an initial cellular environment of 1000 sodium ions and 1000 molecules of atp inside the cell, 1000 potassium ions outside the cell, and a net charge differential across the plasma membrane of 0. assuming the only changes in the cellular environment are a result of the pump's actions, what would be the number of na , k and atp molecules inside the cell after 100 cycles of the pump and what would be the net charge differential (inside-outside) across the plasma membrane? aclient is hospitalized because of severe depression. the nurse attempts to initiate a conversation by asking questions but receives no answers. finally, the nurse tells the client that if there is no response, the nurse will leave and the client will remain alone. which interpretation of the nurses behavior is correct? quizlet The sales philosophy and process that emphasizes a commitment to maintaining customer relationships over the long term and investing in opportunities that are mutually beneficial to all parties is known as ________ selling. Enlarge the triangle by scale factor -3 with centre (3,3) PLEASE TELL ME WHERE TO PUT IT AND IF IT SHOULD BE FILLED IN OR NOT Imagine you are an employee at a healthcare facility. Write a professional email of a minimum of 250 words to your HR department discussing a soft skills training you feel would be helpful for your department. Provide rational in your email about why you feel the training would be beneficial. based on the position of the elements on the periodic table, which hydrogen bond would result in the greatest difference in electronegativity? 5. A tissue is composed of a group ofa. Similar cellsb. Related organellesc. Organ systemsd. Related organs What is the missing line?>>> myDeque = deque('dog')_____>>> myDequedeque(['d', 'o', 'g', 'cat'])>>> myDeque.insert('cat')>>> myDeque.insert('cat')>>> myDeque.appendleft('cat')>>> myDeque.appendleft('cat')>>> myDeque.append('cat')>>> myDeque.append('cat')>>> myDeque.appendright('cat')>>> myDeque.appendright('cat') suppose that the economy is in a recession and the inflation rate decreases from 5 percent to 1 percent. in this case, the demand for money most likely will: Explain the importance of tolerance of diversity for peace ParkingYour coffee shop sits in a strip mall next to a small restaurant. The owner of the restaurant has complained to you about parking: There are not enough spaces available for his customers during lunch and dinner hours.Activity What are some suggestions you might offer to alleviate this situation? Prepare an outline for a conversation between the two owners: List your suggestions and the pros and cons for each. The values for random variables in a Monte Carlo simulation area. selected manually.b. generated randomly from probability distributions.c. taken from forecasting analysis.d. derived secondarily using formulas. When Juliet offers a fake apology to her father, she notes that she has been instructed by the Friar to fall prostrate here. Explain the double meaning of Juliets statement with evidence from the text. Read the passage from Lord of the Flies by William Golding.Jack stood there, streaming with sweat, streaked with brown earth, stained by all the vicissitudes of a days hunting. Swearing, he turned off the trail and pushed his way through until the forest opened a little and instead of bald trunks supporting a dark roof there were light grey trunksand crowns of feathery palm. Beyond these was the glitter of the sea and he could hear voices. Ralph was standing by a contraption of palm trunks and leaves, a rude shelter that faced the lagoon and seemed very near to falling down. He did not notice when Jack spoke."Got any water?Ralph looked up, frowning, from the complication of leaves. He did not notice Jack even when he saw him."I said have you got any water? Im thirsty.Ralph withdrew his attention from the shelter and realized Jack with a start.What is the universal theme of this passage?the loss of innocencethe tension between freedom and responsibility societys dependence on authorityhumanitys search for meaning in the world how are these two lizards adapted to their environment