Using the given degree of confidence and sample data to construct a confidence interval for the population portion p n = 85, x = 49; 98% confidence

Answers

Answer 1

On solving the query we can say that Based on the provided sample data, we can conclude with a 98% confidence that the real population proportion is between 0.4392 and 0.7138.

what is function?

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

We may use the following formula to create a confidence interval for the population proportion:

CI is equal to pz/2*(p(1-p)/n)

where:

p = sample percentage

Based on the ordinary normal distribution, z/2 is the z-score for the degree of confidence (with a 98% confidence level, z/2 = 2.33).

sample size, n

Given:

The population proportion's 98% confidence interval is as follows:

CI = (0.4392, 0.7138)

Based on the provided sample data, we can conclude with a 98% confidence that the real population proportion is between 0.4392 and 0.7138.

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Answer 2

On solving the query we can say that Based on the provided sample data, we can conclude with a 98% confidence that the real population proportion is between 0.4392 and 0.7138.

What is function?

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

We may use the following formula to create a confidence interval for the population proportion:

Cl is equal to pz/2"(p(1-p)/n)

where:

p = sample percentage

Based on the ordinary normal distribution, z/2 is the z-score for the degree of confidence (with a 98% confidence level, z/2 = 2.33).

sample size, n

Given:

The population proportion's 98% confidence

interval is as follows:

CI = (0.4392, 0.7138)

Based on the provided sample data, we can conclude with a 98% confidence that the real population proportion is between 0.4392 and 0.7138.

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Related Questions

solve please, third time

Answers

The composite figure has an area of 74 square centimeters.

How to determine the area of a composite figure

In this question we find the representation of a composite figure formed by two rectangles, whose area has to be computed. The area formula for a rectangle is:

A = b · h

Where:

A - Area, in square centimeters.b - Base, in centimeters.h - Height, in centimeters.

Now we proceed to determine the area of the composite figure:

A = (8 cm) · (3 cm) + (5 cm) · (2 cm) + (8 cm) · (5 cm)

A = 24 cm² + 10 cm² + 40 cm²

A = 74 cm²

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Sami’s puppy went form weighting 21 pounds to 37 pounds. What is the percent increase in weight?

Answers

Answer:

76% increase (approximately)

Step-by-step explanation:

21 lbs ➜ 37 lbs.

To calculate percentage increase, you must first find the difference of the final value and the starting value.

[tex]37-21=16[/tex]

Second, take the difference and divide it from the starting value.

[tex]16/21\\=0.76[/tex] (approximately)

Lastly, take the quotient and multiply it by 100.

[tex]0.76 *100\\=76[/tex]

Therefore, there was a 76% increase in weight.

Can somone help with this

Answers

If the cylindrical-barrel's volume is 785.4 ft³, then the radius of barrel is approximately 5 ft, so option(c) is correct.

We know that cylindrical barrel's volume  is given by formula : V = πr²h

where V represents volume, r represents radius, and h represents height of the cylinder.

In this case, we know that the volume of barrel is 785.4 ft³ and the height is 10 ft.

Substituting these values and π ≈ 3.14, into the Volume-formula,

We get,

785.4 = 3.14 × r² × (10);

785.4/31.4 = r²,

r = √(785.4/31.4),

r ≈ 5 ft

Therefore, the radius of the barrel is (c) 5 feet.

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Can some figure out the answer here?

Answers

Answer:

Step-by-step explanation:

d=71    vertical angles-angles across 2 intersecting are =

e=180-71=109   supplementary angles are =180

g=19  

boxes 3,4, 5, 6, 8 are true

Solve the proportion.

3x/9=7/4

Answers

Answer:

exact form: x=21/4

decimal form: 5.25.

mixed number form: x=5 1/4

Step-by-step explanation:

have a good day :)

Answer:

x = 5.25 or 21/4 or 5 1/4

Step-by-step explanation:

3x : 9 = 7 : 4

3x = 9 x 7 : 4

3x = 63 : 4

3x = 15.75

x = 15.75 : 3

x = 5.25 or 21/4 or 5 1/4

-----------------

check

(3 × 5.25) : 9 = 7 : 4

15.75 : 9 = 7 : 4

1.75 = 1.75

same value, the answer is good

Question 11 sto wants to buy a small wine form worth Re 500.00 he plans to Sell his current home For R3 400 00 which he will use as a deposit for the purchase of the form. He becure toan with a bank with a repayment period of 10 years and a internet roke of 9,5% Compounded monthly. Calcurate bre monthly repayments​

Answers

It is not clear what currency is being used in the question, so we will assume it is South African rand (ZAR) based on the use of the symbol "Re".

The loan amount is the purchase price of the small wine farm minus the deposit:
Loan amount = 50000 - 3400000 = -3350000 ZAR

Note that the loan amount is negative because the borrower owes the bank money.

The monthly interest rate is the annual interest rate divided by 12:
Monthly interest rate = 9.5% / 12 = 0.007917

The total number of payments over 10 years is 10 x 12 = 120.

Using the formula for monthly loan payments, we get:

Monthly payment = (P x r) / (1 - (1 + r)^-n)

Where P is the loan amount, r is the monthly interest rate, and n is the total number of payments.

Plugging in the values, we get:

Monthly payment = (-3350000 x 0.007917) / (1 - (1 + 0.007917)^-120) = 39779.50 ZAR

Therefore, the monthly repayment is approximately 39,779.50 ZAR.

Find the equation of the parabola with the following properties. Express your answer in standard form.
Symmetric with respect to the line y = 2
Directrix is the line x = 11
P = -3

Answers

The  equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1

What is the equation of the parabola?

To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.

Alternatively, we can use PF = PM to find the equation of the parabola.

vertex is half way between the focus and directrix

It's a downward opening parabola, general form

y= a(x-h)^2 + k

where (h,k) = vertex= (-3,-1)

plug in another point on the parabola to solve for a which gives

am answer with either x coefficient = -1'/4 or =4 Check the math.

one or the other is right another point is the y intercept = 9a-1

Another point is directly to the right of the focus  (-1, -2)  It's 2 down from the directrix and 2 to the right of the focus, equidistant.   plug that point into y= a(x+3)^2 -1 and solve for "a"  

-2 = a((-1+3)^2 -1

-2 = 4a -1

4a = -

a = -1/4

The parabola is y = (-1/4)(x+3)^2 -1

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Please help!!! 20 points!!

Answers

Option C is correct, the third dot plot represents the table data.

A dot chart or dot plot is a statistical chart consisting of data points plotted on a fairly simple scale, typically using filled in circles.

The dots in the number line represents the number of hamsters

The dots above line represents the hamsters owned.

We have to find the dot plot which is represented by the table.

As we observe C dot plot, it matches with the given data in the table.

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subtitution 3x-y=12 y=2x+17 brainly verified answer

Answers

The solution to the system of equation is (29, 75).

Solving system of equations

The given simultaneous equation is expressed as shown below:

3x-y=12 ............ 1

y=2x+17 ............ 2

We need to determine the unknown values of x and y

Substitute equation 2 into 1 to have:

3x-y=12

3x- (2x + 17) = 12

3x - 2x - 17 = 12

x - 17 = 12

x = 12 + 17

x = 29

Substitute x = 29 into equation 2;

y=2(29)+17

y = 58 + 17

y = 75

Hence the solution to the system of equation is (29, 75)

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A wooden cube has lengths 8cm. It has a mass of 307.2g. Find the density of the cube.​

Answers

The density of the wooden cube is 0.6 g/cm³ when length is 8cm and has a  mass of 307.2g.

To find the density of the wooden cube, we use the formula:

Density = Mass / Volume

Given that the length of the cube is 8 cm, all sides are equal in length.

The volume of a cube is given by the formula:

Volume = side length³

Substituting the given values:

Volume = 8 cm × 8 cm × 8 cm = 512 cm³

Now we can calculate the density:

Density = Mass / Volume = 307.2 g / 512 cm³

Simplifying:

Density = 0.6 g/cm³

Therefore, the density of the wooden cube is 0.6 g/cm³

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I need help with this please

Answers

less than 3: 3x4/9
equal to 3: 3x3/5
greater than 3: 3x3, 3x4/3, 3x5/6

Need assistance on Calculus HW :) 12th grade.

Answers

As a result, there is no solution to the provided problem.

What exactly is trigonometry?

Trigonometry is the study of triangles, which is a branch of mathematics. It is also known colloquially as "trig." Mathematicians explore the connections between the sides and angles of triangles in trigonometry.

We're told that sec O = -1/0. Because sec O is the reciprocal of cos O, cos O must be -1/0. However, because there is no angle with an undefined cosine, we infer that there is no such angle O.

As a result, there is no solution to the provided problem.

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Assume you own a wood house in the country that is worth $200,000, using the
table below, what would be your annual premium to insure.
Annual Premium per $100 of coverage
Brick
Area
rating
City
0.39
Suburb 0.45
Rural
0.6
Steel
|Mixed
Wood
Building Contents Building Contents Building
Contents
Building |
Contents
0.43
|05
054
0.55
0.52
0.56
0.63
0.72
0.69
0.71
0.8
0.89
0.65
0.74
0.91
0.66
0.76
0.83
0.85
1
1.02
• $1,320
• $1,660
• $2,000
О $2,500

Answers

Based on the table, the annual premium for a wood house in a rural area would be $2,000.

C'D'E'F' is a translation of CDEF by (3²) a) What are the coordinates of D'? b) What are the coordinates of F'? vector -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 5+ 4- 3+ 2+ & F 11 OF -2+ نهن جي -3- -4- CD 1/2 F 3 4 5 6 7 8 9 10 x​

Answers

The coordinates of D' are (-1, 4) and the coordinates of F' are (-3, 2)

What are the coordinates of D'?

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

D = (3, 1)

And the vector is -4

                            3

So, we have

D' = (3 - 4, 1 + 3)

Evaluate

D' =  (-1, 4)

What are the coordinates of F'?

Here, we have the location of point F to be

F = (1, -1)

And the vector is -4

                            3

So, we have

F' = (1 - 4, -1 + 3)

Evaluate

F' = (-3, 2)

Hence, the coordinates of F' are (-3, 2)

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FOR 30 POINTS, ANSWER THE QUESTION!!!

Answers

Answer:

A - Answered in picture

B - 17.09

Step-by-step explanation:

a) Try it yourself and come back later if you get stuck.
b) Try it yourself and come back later if you get stuck.

Line A and line B intersect at point (0, -3). Line A passes through the point (-3,-2). Given that line B is perpendicular to line A, find the equation of line B in the form y = mx + c.​

Answers

The equation of line B is y = 3x - 3, where line B is perpendicular to line A and passes through (0,-3).

The condition of line B is y = 3x - 3, where line B is opposite to line An and goes through (0,- 3).

Since line B is opposite to line An and they converge at point (0,- 3), the slant of line B should be the negative corresponding of the incline of line A.

To start with, we should find the slant of line A:

incline of line A = (y2 - y1)/(x2 - x1) = (- 3 - (- 2))/(0 - (- 3)) = - 1/3

Since line B is opposite to line A, the slant of line B is the negative corresponding of - 1/3:

slant of line B = - 1/(- 1/3) = 3

Presently, we can utilize the guide incline type of a direct condition toward track down the situation of line B:

y - y1 = m(x - x1)

where m is the slant and (x1,y1) is a point on the line.

Subbing m = 3 and the point (0,- 3), we get:

y - (- 3) = 3(x - 0)

Improving on the situation, we get:

y + 3 = 3x

Subsequently, the condition of line B in the structure y = mx + c is:

y = 3x - 3

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Please help me I need this

Answers

The equations that can be used to find the length of the base are a and d

The formula for the volume of a rectangular prism is V = lwh

V = volume, l = length

w = width

h = height

In this problem, the volume of the rectangular prism is given as 1,392 cubic centimeters, the height is given as 12 centimeters, and the width is given as 8 centimeters. We can use the formula to find the length of the base as:

l = V / wh

Substituting the given values, we get:

l = 1,392 / (8 x 12)

Simplifying, we get:

l = 14.5

Therefore, the length of the base of the rectangular prism is 14.5 centimeters.

The two equations that can be used to find the length of the base are:

a. 1392 = 96l (multiplying both sides of the equation by 8 x 12)

d. 12 x 8 x l = 1392 (rearranging the formula V = lwh to solve for l)

Therefore, the equations that can be used to find the length of the base are a and d

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NEED HELP! THERE IS A TIME LIMIT!
VIEW ATTACHMENT.

Answers

Answer: 16

Step-by-step explanation:

Taking the integral: f(x)=((2x)^4)/4-1^4/4

Differentiating: f'(x)=2(2x)^3

f'(1)=16

help with this please

Answers

Answer:

C. The volume is multiplied by 8

Step-by-step explanation:

1*1*1=1

1+1=2

1+1=2

1+1=2

2*2*2=8

Answer:

in the picture

Step-by-step explanation:

we multiply the side by two and find the new volume, unfolding and calculations in the figure

1)
B 80°
A X+40°
E 125
C x+50
D x+5
Sum of the interior angles=
x=

Answers

Sum of the interior angles is 540°.

The value of x is 81.67°, and angle A, C, D are 121.67°, 131.67°, 86.67° respectively.

What is the sum of interior angles of a pentagon?

Sum of interior angles of pentagon = (n-2) ×180° = (5 - 2) × 180° = 540°

Where n is number of side of the polygon.

Here given that values of angle A, B, C, D, E are (x + 40°), 80°, (x + 50°), (x + 5°), 125° respectively.

So,

angle A + angle B + angle C + angle D + angle E = 540°

We are Substituting the given values and get,

(x + 40) + 80 + (x + 50) + (x + 5) + 125 = 540

Or, 3x + 295° = 540°

Or,3x = 245°

Or, x = 81.67°

Now,

angle A = x + 40° = 81.67° + 40° = 121.67°

angle C = x + 50° = 81.67° + 50° = 131.67°

angle D = x + 5° = 81.67° + 5° = 86.67°

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answer the question in the diagram

Answers

By using Newton's divided difference formula, the polynomial function in x is f(x) = x⁴ - 3x³ + 5x² - 6.

What is a polynomial function?

In Mathematics and Geometry, a polynomial function is a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations such as the following:

Multiplication (product)AdditionSubtraction

Next, we would determine the polynomial function in x from the given data by using Newton's divided difference formula;

xi   f(xi)     f[xi,xi+1] f[xi,...,xi+2] f[xi,...,xi+3] f[xi,...,xi+4]

-1     3          -9                6                  5                1

0    -6          15               41                 13

3    39          261            132

6    822     789

7    1611

By interpolating, the interpolation polynomial is given by:

Pₙ(x) = 3 + -9(x+1) + 6(x + 1)(x - 0) + 5(x + 1)(x - 0)(x - 3) + 1(x + 1)(x - 0)(x - 3)(x - 6)

f(x) = (x - 6)(x - 3)x(x + 1) + 5(x - 3)x(x + 1) + 6(x + 1) - 9(x + 1) + 3

f(x) = x⁴ - 3x³ + 5x² - 6

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solve for x. Just put the angle measure. Round to the nearest tenth

Answers

Answer: 48.7

Step-by-step explanation:

cos x=31/47

x=48.7

Answer:

Step-by-step explanation:

Please see attachment that I have uploaded

Answers

The values of the test statistic used are:

z = 0.85t = 0.68

Which test statistic should be used?

The test statistic to be used depends on the sample size and whether the sample standard deviation is known or not.

The z-test is used when the sample standard deviation is known and the sample size is greater than 30.

The t-test is used when the population standard deviation is or unknown and the sample size is less than 30.

a)  Since the sample size is less than 30 and the population standard deviation is known, we can use the one-sample z-test.

The test statistic is z = (x - μ) / (σ / √(n))

where;

x is the sample mean,μ is the  population mean,σ is the population standard deviation,n is the sample size.

Substituting the values in the formula above:

z = (195.6 - 191.6) / (19.3 / √(17))

z = 0.85

(b) The sample size is less than 30 and the population standard deviation is unknown, we therefore use the one-sample t-test.

The test statistic is t = (x - μ) / (s / √(n))

where;

x is the sample mean,μ is the population mean,s is the sample standard deviation,n is the sample size.

Substituting the values in the formula above:

t = (195.6 - 191.6) / (18.5 / √(10))

t = 0.68

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The equation for line f can be written as y=
9

5
x–2. Perpendicular to line f is line g, which passes through the point (5,–
3). What is the equation of line g?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answers

Answer:

y = -5x/9 - 2/9

Step-by-step explanation:

if two lines are perpendicular to each other,

the product of their slopes are -1

(slope of f)(slope of g) = -1

(9/5)(slope of g) = -1

(slope of g) = -5/9

equation of g:

(y - (-3))/(x - 5) = -5/9

(y+3) = -5/9 * (x-5)

y = -5x/9 + 25/9 - 3

y = -5x/9 - 2/9

Change 48.2% to it’s fractional equivalent. Please show work

Answers

As asked in the question, 48.2% is equivalent to the fraction 241/500.

To convert a percentage to a fractional equivalent, we divide the percentage by 100 and simplify the resulting fraction.
So, to convert 48.2% to a fraction, we divide 48.2 by 100:
48.2/100 = 0.482

This gives us the decimal equivalent of 48.2%.

To convert the decimal to a fraction, we write it over 1 and simplify it:
0.482/1 = 482/1000

We can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:
482/1000 = (241/500)

Therefore, 48.2% is equivalent to the fraction 241/500.

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If f(x) = 3x − 4, which of these is the inverse of f(x)?
-
O A. f¹(x) = 24
O B. f¹(x) = + 4
O C. ¹(x)=-4
○) D. ƒ¨¯¹(x) = 2-3 4

Answers

The inverse of the function f(x) = 3x - 4 is f⁻¹(x) = x/3 + 4/3.

What is the inverse of the given function?

The inverse of a function is simply a new function that "reverses" the action of the original function.

Given the function in the question:

f(x) = 3x - 4

To find the inverse of f(x) = 3x - 4, we simply need to solve for x in terms of y.

f(x) = 3x - 4

y = 3x - 4

Interchange the variables

x = 3y - 4

Solve for y

Adding 4 to both sides:

x + 4 = 3y - 4 + 4

x + 4 = 3y

3y = x + 4

Dividing both sides by 3:

3y/3 = x/3 + 4/3

y = x/3 + 4/3

Replace y with f⁻¹(x)

f⁻¹(x) = x/3 + 4/3

Therefore, the inverse is f⁻¹(x) = x/3 + 4/3

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The function f(x)=−1/x+2+68 represents the height of a teenage girl, in inches, x months after turning 15 years old.

How tall is the teenager at 15 years old? What height will she approach, but never achieve?

Enter your answer by filling in the boxes to correctly complete the statements.

Answers

At 15 years old, her height is 70 inches.

The height she will never achieve is the horizontal asymptote of the function.

How to solve

To find the teenager's height, plug in x=0 into the function: f(0) = -1/0 + 2 + 68.

Since division by zero is undefined, the function is not valid at 15 years old.

The height she will approach but never achieve is the horizontal asymptote of the function.

As x approaches infinity, the -1/x term approaches 0.

Therefore, the height approaches 2+68 = 70 inches.

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The lengths of two sides of a triangle are 9 cm and 15 cm. The length of the third side is a whole-number value. What is a possible length of the third side in centimeters?

Answers

The possible length is 9 centimeter because it can be isoceles triangle

I NEED HELP PLEASE! WILL MARK BRAINLIEST IF CORRECT !

Answers

Answer: 71.57

Step-by-step explanation:

You are going to use SOH CAH TOA to find the angle

because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)

TanΘ=[tex]\frac{9}{3}[/tex]

now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)

71.57

Explain how you got h value.

Answers

The equation for the parabola will be y = 0.765625(x + 5.25)^2 - 69.390625.

How to explain the equation

Let us commence with the generalized equation for a parabola:

y = a(x - h)^2 + k

where (h,k) is the vertex of the parabola.

We can now set up august system of equations by integrating the two provided points and their corresponding transformed points:

4 = a(-2 - h)^2 + k (1)

-11 = a(-6 - h)^2 + k (2)

1 = a(1 - h)^2 + k (3)

-5 = a(-3 - h)^2 + k (4)

Comprising four knowns (a, h, k), fostering a viable solution to our problem yet available.

-15 = a(-4h - 32)

Dividing both sides by -4 silences the equation to:

3.75 = ah + 8

Continuing, subtracting equation (3) from (4):

-4 = a(-2h - 12)

Divving and relying on -2 debases the outcome to:

2 = ah + 6

At this juncture, we have two equations compounding two unknowns (a and h). Determining the h value in accordance to a within these equations can be done by setting our solutions equal to each other and solving for a, giving you an answer of 0.765625.

Exploiting one of the previous expressions, we next find h=(2-6)/0.765625=-5.25. By means of various designs, any of the four initial equations come into play when searching for k. Rearranging, 4=0.765625(-2-(-5.25))^2+k, leads to k=-69.390625.

Thus, unto completion of a parabolic, these values grace your presence:

a= 0.765625

h= -5.25

k= -69.390625

And so, the alluring equation of such an inscribed parabola casts itself forthheartedly, incarnating as:

y = 0.765625(x + 5.25)^2 - 69.390625

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tyrion wants to use a virtual firewall to filter the types of traffic that are allowed or not allowed into a virtual private cloud instance he has created on the cloud service provider his company uses. which of the following can he use to accomplish this goal? a. vnc b. nacl c. nat d. vlan A car fuel tank can take up to 50 litres of petrol. Given that 8 pints = 1 gallon , work out how many gallons of petrol this fuel tank can take. Round your answer to the nearest gallonPlease help :) Asap Please help me with this homework Rachel traced her family's lineage back to the eighteenth_______cross referenced her grandmother's stories with a genealogical index at the library.A.century, furthermore, sheB.century,sheC.century.She american public opinion about cuba wasmost shaped by What may happen in an absolute monarchy if the King is not interested in helping his country newly hired programmers at microsoft corporation join small work teams so that experienced workers can serve as mentors to them while they are adjusting to their new job. this is the hrm process of 3 Say what you didEscribe lo que hicieron estas personas la semana pasada. Luego escribe si tlo hiciste o no. (Write what people did last week. Then write whether or not you did that activity.)modelo: el seor Cruz / a casa tarde.El seor Cruz volvi a casa tarde.Yo no volv a casa tarde.(Yo tambin volv a casa tarde.)1. t / un correo electrnico2. mis amigos y yo / una pizza3. Marta / refrescos4. el jugador / el partido5. Paca y Teresa / al parque6. usted / el suelo7. Isabel / regalos8. mis hermanos / espaolbarrerbeberaprendervolvercomerrecibircorrerescribirperder Can someone help me please? Kens seventh grade class plans to collect empty aluminum pop cans as a fund raiser to buy two new books for the school library. The books will cost a total of $50. just as contingency funds are established to absorb unplanned costs, managers use to cushion against potential delays.? Which is the net for this rectangular prism? in what year did wind power production begin to experience a significant spike in growth? packaged foods are required to have a _____ _____ label that shows the nutrients in each serving of the food. what is the relationship between student's t distribution and the standard normal distribution? student's t will approach to standard normal distribution as the sample size approachs 0 student's t will approach to standard normal distribution as the sample size approachs infinite standard normal distribution will approach to student's t distribution as the sample size approachs 0 standard normal distribution will approach to student's t distribution as the sample size approachs infinite A cereal box has dimensions of 12 inches , 7 3/4 inches, and 2 inches. A pastry box has dimensions of 3 2/3 inches, 3 1/2 inches , and 2 1/3 inches. What is the difference in volume , in cubic inches , between the two boxes? where does the energy released by a massive black hole come from? What is a common feature of fish gills and mammalian lungs?A. Both fishes and mammals get oxygen from an oxygen-rich medium.B. Both fish gills and mammalian lungs employ countercurrent flow for respiration.C. Both fish gills and mammalian lungs have relatively high surface area.D. Both fish gills and mammalian lungs end in terminal alveoli. (The Bone Wars by J. R. Hill) Explain why "American paleontology got a bad reputation from Cope and Marsh's cutthroat behavior" (paragraph 8). Use TWO details from articles to support your response. Construct an R chart and answer the specific questions based on the given data sets.Select the correct upper control limit for the R chart.UCL = 29.791UCL = 29.210UCL = 28.000UCL = 54.750