Approximate the area between the x-axis and the graph of f(x) = x² + 3 over the interval [0, 2]
by calculating the sum of the areas of 4 rectangles with equal widths along the interval. The
rectangles should be placed on the x-axis and the heights should be the function values at the right
endpoint of each subinterval, as shown below.

Answer:

It depends. Depends on what? Depends on the type of triangle that this shelf forms. If Sandra wants the shelf to fit perfectly, she needs a shelf with the shape of a right triangle, the only type of triangles that have a 90° angle in one of their corners. Any other type of triangle will fit in some ways, but they won't fot perfectly.

Check the attached images to better understand this explanation.

As you can see on the images, the only type of shelf that fits the room's corner perfectly is a right triangle shaped shelf. Any other triangular shelf will fit in a specific orientation, but it won't fit perfectly.

The mean number of employees who work on a given day is less than the median number of employees who work on a given day and option C is correct.

In statistics, we frequently choose a representative value that roughly describes the full collection to represent a set of data. The label "measure of central tendency" denotes that this representative value is one around which the data is centred. The mean, median, and mode are these central tendencies.

Mean = sum of all values/frequency

Mean = (20(0.01) + (21(0.1)) + (22(0.1)) + (23(0.4)) + (24(0.3))

mean is 22.7.

The median id the value of X for which P(X<x) is greater than or equal to 0.5 and P(X>x) is greater than or equal to 0.5. Therefore, median is 23.

Mode is the value of X having maximum probability. Therefore, mode is 23.

Hence, the mean number of employees who work on a given day is less than the median number of employees who work on a given day and option C is correct.

Learn more about median here:

https://brainly.com/question/300591

#SPJ1

The coordinates of the image point would be U'(5,2).

Coordinate is a pair of numbers used to identify the position of a point in a plane or in space. It is mostly used in mathematics, science, and engineering. Coordinates are used to define locations on maps, to plot graphs, and to identify points on a two-dimensional plane. By knowing the coordinates of two points, one can calculate the distance between them.


To translate a point R(x, y) using T h,k, you take the x-coordinate of R, subtract h, and add k to the y-coordinate of R. Therefore, the coordinates of the point L' after translating L(2, -5) using T-3, -4 would be L'(-1, -9).

To know more about coordinates click-
https://brainly.com/question/27481419
#SPJ1

There are 12 lowercase words of length 8 in which each distinct letter appears exactly twice.

To form a lowercase word of length 8 in which each distinct letter appears exactly twice, we can choose 4 distinct letters from the English alphabet and then arrange them in pairs in the word. The number of ways to choose 4 distinct letters from 26 is:

C(26, 4) = 26! / (4! * 22!) = 14,950

Once we have chosen 4 distinct letters, we can arrange them in pairs in the word in the following way:

Therefore, the total number of such words is:

4 * 3 * 1 = 12

Thus, there are 12 lowercase words of length 8 in which each distinct letter appears exactly twice. Here are all the possible words:

Learn more about lowercase words here: https://brainly.com/question/16397886

#SPJ1

Answer:

2.42

Step-by-step explanation:

To find the diameter divide by 3.14 or pi. That equals 2.42038216561 but 2.42 is the rounded answer (if you are rounding to the hundredths place)

Given the Figure shown below is, ΔABC~ΔAXY if so, 1.67 is the scale factor between the two triangles.

The ratio between the scale of an original thing and a new object that is a representation of it but has a different size is known as a scale factor (bigger or smaller).

Consider two comparable squares as an illustration. One has a side length of 2 inches, while the other has a side length of 4 inches. This results in a scale factor of 1: 2 from the small square to the huge square. The scale factor between these two comparable squares is 1: 2, or tiny square to huge square.

Given that,

12 / 20 = 17 / x

or, 12 x = 340

or, x = 28.33

on the other hand,

25 / 15 = 1.66

20 / 12 = 1.66

28.33 / 17 = 1.66

now, scale factor = 1.67

To know more about triangles refer to:

https://brainly.com/question/1058720

#SPJ1

As n increases, the area of the regular polygon approaches the area of the circle.

The correct option is (b)

A regular polygon inscribed in a circle can be used to derive the formula for the area of a circle.

The polygon area can be expressed in terms of the area of a triangle.

Let s denote the side length of triangle.

r hypotenuse of right triangle.

h height of the triangle.

let n be the number of sides of the regular polygon.

The area of polygon is given by:

polygon area = n(12sh)

The correct statement is:

As n increases, the area of the regular polygon approaches the area of the circle.

As n increases , the triangle will be smaller and smaller. h approaches r so that rh approaches [tex]r^2[/tex]

" Since, as the number of sides of the polygon increases the polygon start approaching to the circumference of circle and as n tends to infinity the polygon will tend to take the shape of the circle "

Therefore, The correct option is (b)

Learn more about Triangle at:

https://brainly.com/question/2773823

#SPJ4

The given question is incomplete, complete question is:

A regular polygon inscribed in a circle can be used to derive the formula for the area of a circle. The polygon area can be expressed in terms of the area of a triangle.

Let s be the side length of the polygon,

let r be the hypotenuse of the right triangle,

let h be the height of the triangle, and

let n be the number of sides of the regular polygon.

polygon area = n(12sh)

Which statement is true?

a. As r increases, the area of the regular polygon approaches the area of the circle.

b. As n increases, the area of the regular polygon approaches the area of the circle.

c. As s increases, the area of the regular polygon approaches the area of the circle.

d. As h increases, the area of the regular polygon approaches the area of the circle.

Answer:

15 degrees for the first one

90 degrees for the second one

Step-by-step explanation:

Using the loan rates we know that the maximum loan amount Tyresa needs to pay for 4 years which is 48 months is $330.81 for the new car.

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal or the loaned amount.

Typically, a loan's interest rate is expressed as an annual percentage rate, or APR (APR).

The annual cost of a loan to a borrower is referred to as the interest rate and is indicated as a percentage.

APR represents the total yearly cost of a loan to the borrower, including all fees.

The APR is stated as a percentage, just like an interest rate.

Thus, we discover that using the present value formula:

Pv = C[(1-(1+i)n/i)]

Now, calculate for the new car as follows:

Pv = 350[(1-(1+2.79%/12)2.79%/12)]

Pv = $15879.04

Loan amount each month: 15879.04/48 months = $330.81

Similarly, calculate for the old car as follows:

Pv = 350[(1-(1+3.29%/12)3.29%/12)]

Pv = $15721.34

Loan amount each month: 15721.34/48 months = $327.52

Therefore, using the loan rates we know that the maximum loan amount Tyresa needs to pay for 4 years which is 48 months is $330.81 for the new car.

Know more about loan rates here:

https://brainly.com/question/25793394

#SPJ1

For the given insertion sort program the answer is (E) I, II, and III.

What is insertion sort?

Insertion sort is a simple sorting algorithm that works by repeatedly iterating through the elements of an array, or a list, and inserting each element into its proper position within the sorted portion of the array. The algorithm maintains a sorted sublist of elements, which starts as the first element of the array, and then iterates through the remaining unsorted elements one-by-one, comparing each element with the elements in the sorted sublist and moving them to the right until the correct position is found. In other words, insertion sort iteratively expands the sorted sublist by inserting each new element into its correct position, until the entire array is sorted. The time complexity of the insertion sort algorithm is O(n^2) in the worst-case scenario, where n is the number of elements in the array, but it can perform much better on small datasets or partially sorted arrays.

According to given conditions:

For the first question:

After the first pass of the outer loop, the array will be [2, 5, 4, 1, 3, 6]. After the second pass, the array will be [2, 4, 5, 1, 3, 6]. After the third pass, the array will be [1, 2, 4, 5, 3, 6]. Therefore, the answer is (C) [1, 2, 4, 5, 3, 6].

For the second question:

Statement 1 will execute 6 times because there are 6 elements in the array. Statement 2 will also execute 6 times because each element in the array will be moved to its correct position during the insertion sort. Therefore, the answer is (E) 6, 6.

For the third question:

To correctly separate the words in listofWords with commas and enclose them in braces, we need to iterate through the list and add each word to the result string followed by a comma (except for the last word) and a space. Then we need to remove the last comma and space and add the opening and closing braces. This can be achieved with the following expression and condition:

Expression: listofWords.get(k) + ", "

Condition: k != listofWords.size() - 1

Therefore, the answer is (A) expression: listofWords.get(k) + ", ", condition: k != listofWords.size() - 1.

For the fourth question:

To sort the integers in elements in descending order, we need to make two changes to the sort method:

I. Replace line 9 with: if (elements[k] > elements[index])

II. Replace lines 15-17 with:

Line 15: int temp = elements[index];

Line 16: elements[index] = elements[j];

Line 17: elements[j] = temp;

III. Replace line 3 with: for (int j = elements.length - 1; j > 0; j--) and replace line 7 with: for (int k = 0; k < j; k++)

Therefore, for the given insertion sort program the answer is (E) I, II, and III.

To know more about insertion sort visit :

https://brainly.com/question/13326461

#SPJ1

1. After 13 years of investing $9,500 per period at 10% interest, the investment would be worth approximately $281,461.22.

2. After 50 years of investing $9,500 per period at 9% interest, the investment would be worth approximately $5,967,875.20.

To calculate the future value of an investment, we can use the formula for compound interest:

FV = PV x (1 + r)^n

where FV is the future value of the investment, PV is the present value or initial investment, r is the annual interest rate, and n is the number of compounding periods.

For the first investment:

PV = $9,500 per period

r = 10% per year

n = 13 years

Since we're making regular periodic investments, we can use the formula for the future value of an annuity:

FV = PMT x [(1 + r)^n - 1] / r

where PMT is the regular payment or investment per period. Plugging in the numbers, we get:

FV = $9,500 x [(1 + 0.1)^13 - 1] / 0.1 = $281,461.22

So after 13 years of investing $9,500 per period at 10% interest, the investment would be worth approximately $281,461.22.

For the second investment:

PV = $9,500 per period

r = 9% per year

n = 50 years

Using the same formula for the future value of an annuity, we get:

FV = $9,500 x [(1 + 0.09)^50 - 1] / 0.09 = $5,967,875.20

So after 50 years of investing $9,500 per period at 9% interest, the investment would be worth approximately $5,967,875.20.

To know more about compound interesting, visit:

brainly.com/question/28020457

#SPJ1

The regular price of the suit is $250.

What is the discounts ?

A discount is a reduction in the price of a product or service. It is often used as an incentive to encourage customers to buy a product or service, especially when the original price is considered too high.

Let's assume the regular price of the suit to be x.

According to the problem, the sale price of the suit after a 25% discount is $187.5.

This can be written as:

x - 0.25x = 187.5

Simplifying the equation:

0.75x = 187.5

Dividing both sides by 0.75:

x = 250

Hence, the regular price of the suit is $250.

To learn more about discounts , Visit

https://brainly.com/question/1548141

#SPJ1

Therefore , the solution of the given problem of expressions comes out to be the simplified expression is 1/(5.6^2 * 3.4^11).

There is a requirement for mathematical operations as addition, multiplication, and division. When combined, they produce the following: A mathematical operator, some data, and an equation A statement of fact contains values, parameters, and mathematical operations including additions, subtractions, multiplications, and divisions. It is possible to contrast and compare various sentences and words.

Here,

To simplify the expression, we can combine the terms that have the same base, by adding their exponents. We have:

5.6^-5 * 3.4^-7 * 5.6^3 * 3.4^-4

= (5.6^-5 * 5.6^3) * (3.4^-7 * 3.4^-4) (rearranging the terms)

= 5.6^(-5 + 3) * 3.4^(-7 - 4) (adding the exponents)

= 5.6^-2 * 3.4^-11

= (1/5.6^2) * (1/3.4^11) (using the negative exponent rule)

= 1/(5.6^2 * 3.4^11) (multiplying the reciprocals)

Therefore, the simplified expression is 1/(5.6^2 * 3.4^11).

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

The complete question is "

Simplify the expression so there is only one power for each base.

5.6^-5 * 3.4^-7 * 5.6^3 * 3.4^-4"

The solution of the given problem of expressions comes out to be the simplified expression is 1/(5.6² × 3.4¹¹).

There is a requirement for mathematical operations as addition, multiplication, and division. When combined, they produce the following: A mathematical operator, some data, and an Expression. A statement of fact contains values, parameters, and mathematical operations including additions, subtractions, multiplications, and divisions. It is possible to contrast and compare various sentences and words.

Here,

To simplify the expression, we can combine the terms that have the same base, by adding their exponents. We have:

5.6⁻⁵ × 3.4⁻⁷ × 5.6³ × 3.4⁻⁴

= (5.6⁻⁵ × 5.6³) × (3.4⁻⁷ × 3.4⁻⁴ (rearranging the terms)

= [tex]5.6^{(-5 + 3)}}[/tex] × [tex]\math{3.4^{(-7 - 4)}}[/tex] (adding the exponents)

= 5.6⁻² × 3.4⁻¹¹

= (1/5.6²) × (1/3.4¹¹) (using the negative exponent rule)

= 1/(5.6² × 3.4¹¹) (multiplying the reciprocals)

Therefore, the simplified expression is 1/(5.6² × 3.4¹¹).

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

The complete question is:

Simplify the expression so there is only one power for each base.

5.6⁻⁵ × 3.4⁻⁷ × 5.6³ × 3.4⁻⁴

Answer:

£750

Step-by-step explanation:

The interest Kay will have to pay can be calculated using the simple interest formula:

interest = principal x rate x time

where the principal is the amount borrowed, the rate is the annual interest rate, and the time is the duration of the loan in years.

In this case, the principal is £5,000, the rate is 15% per year, and the time is 1 year. Substituting these values into the formula, we get:

interest = 5000 x 0.15 x 1 = £750

Therefore, Kay will have to pay £750 in interest over the course of the one-year loan.

Answer:

Step-by-step explanation:

Since the interest rate is 15%, she'll have to pay 15% of the principal per yar, which is £5000 x 15 / 100 = £750. And since she borrows it for only one years, that total amount of interest will be £750 x 1 = £750.

The solution of the given problem of area comes out to be the regular decagon is approximately 324.16 cm².

Its surface area is a reliable indicator of its overall size. When figuring out the right triangle squared, the environment is taken into account. The surface area of everything determines its overall size. The total of the volumes from each of the twelve vertical sides makes up the water volume inside a cuboid. Utilize the following formula to get the box's dimensions: The region is represented by 2lh, 2lw, & 2hW. (SA). The area is represented by the flexible shape's entire surface area.

Here,

The area of ​​a regular decagon can be calculated using the formula:

Area = (perimeter x apothem) / 2

For a regular decagon with a side of 6.8 cm and an apothem of 9.52 cm, the perimeter can be calculated as 10 times the length of the side, that is:

Perimeter = 10 x 6.8 cm = 68 cm

Therefore, the area of ​​the decagon is:

Area = (68 cm x 9.52 cm) / 2 = 324.16 cm²

So, the area of ​​the regular decagon is approximately 324.16 cm².

To know more about surface area visit:

brainly.com/question/2835293

#SPJ1

The length of the apothem of the pentagon is 12.96 meters .

What is apothem ?
In geometry, the apothem of a polygon is the distance from the center of the polygon to the midpoint of one of its sides. For a regular polygon (a polygon with all sides and angles equal), the apothem is the perpendicular distance from the center of the polygon to one of its sides.

Explanation:
The formula for the area of a regular pentagon is:

A = (1/2)P × a

where A is the area, P is the perimeter, and a is the apothem.

To solve for the apothem, we need to rearrange the formula and solve for a:

a = (2A) / P

The perimeter of a regular pentagon is given by:

P = 5s

where s is the length of each side.

Substituting the given values, we get:

P = 5s = 5(9.7) = 48.5

A = 315.25

a = (2A) / P = (2 × 315.25) / 48.5 = 12.96

Therefore, the length of the apothem of the pentagon is 12.96 meters (rounded to two decimal places).

To know more about apothem visit:
https://brainly.com/question/30783338
#SPJ1

Answer:

Step-by-step explanation:

its 13

The values of the missing entries are given below:

x  2  1  3  5  0

y  0  1  1   9  4

Given:

y= x^2 - 4x + 4

= (x-2)^2

Thus, when y= 0, (x-2)^2 =0

x =2 (substitute y=0 into the equation)

When x= 1,  y = (1-2)^2 = 1

When y =1, (x-2)^2 =1, x-2 ± 1

x= 3, or x=1 (choose 3)

when x= 5, y= (5-2)^2 = 3^2 =9

when x = 0,  y= (0-2)^2 = 2^2 = 4

Read more about fractions here:

https://brainly.com/question/78672

#SPJ1

The side length of the cube can be written as:

S = 3*∛5  centimeters.

We know that the cube has a volume of V = 135cm³.

Now, remember that for a cube of side length S, the volume is:

V = S³

Here we can replace the volume in the equation above, we will get:

135cm³ = S³

If we apply the cube root in both sides, we will get:

∛(135 cm³) = S

∛135 cm = S

Now we can rewrite that as:

135 = 9*5

Then we can rewrite the expression:

∛135  = ∛(27*5) = ∛27*∛5 = 3*∛5

That is the sidelength of the cube.

So we have A = 3 and B = 5.

Learn more about volume at:

https://brainly.com/question/1972490

#SPJ1

The exact perimeter of the triangle is 2√5 + √34 + 5√2.

To find the perimeter of the triangle, we need to find the distances between its vertices and add them up. Let's use the distance formula to find the three distances:

Distance between (2, -2) and (-2, 0):
d1 = √[(2 - (-2))^2 + (-2 - 0)^2]

= √[(4)^2 + (-2)^2]

= √(16 + 4)

= √20

= 2√5

Distance between (2, -2) and (-1, -7):

d2 = √[(2 - (-1))^2 + (-2 - (-7))^2]

= √[(3)^2 + (5)^2]

= √(9 + 25)

= √34

Distance between (-2, 0) and (-1, -7):

d3 = √[(-2 - (-1))^2 + (0 - (-7))^2]

= √[(-1)^2 + (7)^2]

= √(1 + 49)

= √50

= 5√2

Now, we can add up the distances to find the perimeter:

perimeter = d1 + d2 + d3

= 2√5 + √34 + 5√2

Therefore, the exact perimeter of the triangle is 2√5 + √34 + 5√2.

The perimeter of a triangle is the total length of its three sides. To find the perimeter, you simply add the lengths of the three sides together.

For example, if a triangle has side lengths of 5 cm, 6 cm, and 7 cm, its perimeter would be:

Perimeter = 5 cm + 6 cm + 7 cm

Perimeter = 18 cm

So the perimeter of the triangle is 18 cm.

To know more about perimeter of triangle visit :

https://brainly.com/question/24299023

#SPJ1

Answer: x^2 + (y – 3)^2 = 36

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

If the center lies on the y-axis, then h = 0:  (x - 0)^2 + (y - k)^2 = r^2

If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36

So, among the given equations, your

x^2 + (y – 3)^2 = 36 is correct

Answer:

Step-by-step explanation:

225 miles because you have to divide 100 by 4 that would give me 25 MPG and be asked, how many miles can the car travel using? Nine gallons of gasoline? So that would be right here, And that's at 225 Miles that it can travel with nine gallons of gasoline.

Giving each guest a room in a hotel is impossible if the group size exceeds the number of available rooms, resulting in some individuals having to share a room with someone else or not having a place to stay.

Logical thinking is a type of thinking that involves reasoning based on a set of premises or assumptions to arrive at a conclusion. It is a rational, systematic, and methodical way of thinking that involves analyzing information, identifying patterns, and drawing valid and sound conclusions.

Logical thinking involves using a combination of critical thinking skills, such as analysis, evaluation, and synthesis, to make reasoned judgments. It requires an ability to break down complex problems into smaller, more manageable parts, and to evaluate evidence in a clear and objective manner.

In logical thinking, conclusions are reached through a process of deduction or induction. Deduction involves starting with a general principle or premise and applying it to a specific situation to arrive at a conclusion. Induction, on the other hand, involves starting with specific observations or evidence and using them to make a general conclusion.

Logical thinking is essential in many fields, including science, mathematics, philosophy, and law, among others. It is also important in everyday life, such as when making decisions, solving problems, or evaluating arguments. By using logical thinking, individuals can make informed and reasoned judgments, and arrive at conclusions that are based on evidence and reason, rather than emotion or bias.

The Hotel Cardinality is a mathematical model that assumes that the hotel has an infinite number of rooms. However, in reality, hotels have a limited number of rooms. Therefore, if the group of people is larger than the number of available rooms, it would be impossible to give each person a room. For example, if the hotel has only 10 rooms and the group consists of 15 people, it is not possible to give each person a room. This is because there are more people than the number of available rooms, and some people will have to share a room or be left without a room. Hence, it is not always possible to accommodate all guests in a hotel, especially during peak seasons or when the hotel has limited capacity.

To know more about the infinite visit:

brainly.com/question/8990731

#SPJ1

Answer:

[tex]A. \;x^2 -7x + 1[/tex]

[tex]B.\;5x^2 + 2x[/tex]

Step-by-step explanation:

Standard Form of Polynomial
Standard form of a polynomial is written in the descending order of the power of the variable.

The standard form of polynomial is given by

[tex]f(x) = a_nx^n + a_{n-1}x^{n-1}+....... + a_1x + a_0[/tex]
where [tex]x[/tex] is the variable and [tex]a_i,\; i = 0...n[/tex] are coefficients.

The only two expressions in standard form are
[tex]A. \;x^2 -7x + 1[/tex]

and
[tex]B.\;5x^2 + 2x[/tex] (here the constant a₀ is 0)

Answer:

Step-by-step explanation:

Since the circle is inscribed in the square, the diameter of the circle is equal to the side length of the square. Therefore, the diagonal of the square is twice the radius of the circle, or 10 mm.

To find the area of the square, we can use the formula A = s^2, where s is the side length of the square. The diagonal of the square is √2 times the side length, so we have:

10 mm = √2 x s

s = 10 mm / √2

The area of the square is:

A = s^2 = (10 mm / √2)^2 = 100 mm^2 / 2 = 50 mm^2

To find the area of the circle, we can use the formula A = πr^2, where r is the radius of the circle. We are given that the radius is 5 mm, so:

A = π(5 mm)^2 = 25π mm^2

To find the shaded section, we need to subtract the area of the circle from the area of the square. The shaded section is the remaining area of the square after the circle has been inscribed. Therefore, the shaded section is:

Shaded Section = Square Area - Circle Area

Shaded Section = 50 mm^2 - 25π mm^2

Shaded Section ≈ 10.79 mm^2 (rounded to two decimal places)

The completed balance sheet is given below:

A balance sheet is a financial statement that shows the financial position of a company at a specific point in time. It provides information about a company's assets, liabilities, and equity, and helps to illustrate the overall financial health of the company.

The Balance Sheet

Sheffield company

balance sheet (partial)

December 31, 2023

Plant Assets

Land $3,926,000

Building $28,650,000

Less: Accumulated Depreciation (14,396,250)

Net Building $14,253,750

Equipment $49,569,000

Less: Accumulated Depreciation (4,127,795)

Net Equipment $45,441,205

Total Plant Assets $63,620,955

Note that the buildings and equipment are shown at their net book value, which is the original cost less the accumulated depreciation.

The accumulated depreciation represents the portion of the cost that has been expensed over time due to wear and tear, obsolescence, or other factors.

The land is not depreciated, so its original cost is shown.

Read more about balance sheet here:

https://brainly.com/question/1113933

#SPJ1

The length of b = √36 = 6 cm.

Length is a measurement of size and it can be measured in a variety of waste including inches sentiment of metres feet miles and more. Playing these an important concept in mathematics, science and engineering and many others build it to used to calculate the dimensions of this area. And more it is also used to measure the time it takes to travel.


Triangle ABC is a right triangle with angle B = 90°.

If a = 8 cm and c = 10 cm, we can use the Pythagorean Theorem to find the missing length, b.

The Pythagorean Theorem states that a2 + b2 = c2.

Therefore, b2 = c2 – a2 = 102 – 82 = 100 – 64 = 36.

The length of b = √36 = 6 cm.
To know more about length click-
https://brainly.com/question/29813582
#SPJ1

The solution is, B , is the correct answer is 10.0923.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

given that,

the equation is, 2.02 + 8.102 - 0.0297

now, we have to solve it, by addition & subtraction.

we know,

First

2.02+8.102=10.122

Then 10.122-0.0297=10.0923

i.e. we get,

2.02 + 8.102 - 0.0297

=10.122-0.0297

=10.0923.

Hence, The solution is, B , is the correct answer is 10.0923.

To learn more on subtraction click:

brainly.com/question/2346316

#SPJ1

1.) Skewed left

2.) a. z-score = 0.54
    b. z-score = 0.77

    c. z-score = -0.77
3.) a. z-score = 1.24

    b. Large Chain

    c. Local Brewery

4.) a. The middle 95% of six-packs at the local brewery will have an average fill between 327.50 ml and 329.70 ml.

     b. The middle 95% of six-packs at the large chain will have an average fill between 327.75 ml and 328.25 ml.

What is the z-score?

In statistics, the z-score, also known as the standard score, is a measure of how many standard deviations an observation or data point is above or below the mean of the data set.

1.)

Skewed Left, since the possible values are clustered towards the upper limit of 330 ml, and it is impossible to fill the bottle with more than 330 ml.

2.)

a. z-score = (328.6 - 328.3) / 0.9 * √6 = 0.54

b. z-score = (328.6 - 328.3) / 0.9 * √12 = 0.77

c. z-score = (327.9 - 328.3) / 0.9 * √1 = -0.77

3.)

a. z-score = (328.6 - 328) / 0.7 * √6 = 1.24

b. Large Chain, since the z-score for the large chain is higher, indicating a larger average fill for the bottles in the six-pack.

c. Local Brewery, since the z-score for the local brewery is lower, indicating a smaller average fill for the bottles in the twelve-pack.

4.)

a. The middle 95% of six-packs at the local brewery will have an average fill between 327.50 ml and 329.70 ml.

b. The middle 95% of six-packs at the large chain will have an average fill between 327.75 ml and 328.25 ml.

Hence,

1.) Skewed left

2.) a. z-score = 0.54
    b. z-score = 0.77

    c. z-score = -0.77
3.) a. z-score = 1.24

    b. Large Chain

    c. Local Brewery

4.) a. The middle 95% of six-packs at the local brewery will have an average fill between 327.50 ml and 329.70 ml.

     b. The middle 95% of six-packs at the large chain will have an average fill between 327.75 ml and 328.25 ml.

To learn more about the z-score, visit:

https://brainly.com/question/28000192

#SPJ1