An **inequality **which can be used to determine x the **number of people **who can go to the amusement park is: 15 + 25x ≤ 115

Also, approximately **4 people can go to the amusement park**.

In the given question,

**cost **for admission parking = $15

Tickets = $25 per person

Let x be the **number of people **those** **who go to the amusement park.

On parking and admission spent not more than $115

So we get an **inequality**,

15 + 25x ≤ 115

We solve above **inequality**.

25x ≤ 115 - 15

25x ≤ 100

25x / 25 ≤ 100/25

x ≤ 4

This means that approximately 4people can go to the amusement park.

Therefore, an **inequality **which can be used to determine x the **number of people **who can go to the amusement park is: 15 + 25x ≤ 115

Also, approximately **4 people can go to the amusement park**.

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help it’ll be greatly appreciated :(

In population 1:

**Pattern** is changing by 13.5 to 11.5 to 8.3

Which is 2 then 3.2.

In population 2:

Population is decreasing by 2.

Describe pattern.A recurring arrangement of numbers, forms, colors, and other elements constitutes a pattern in mathematics. The **Pattern** can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.

Given.

**Pattern** in which population is changing are:

In **population** 1:

It is changing by 13.5 to 11.5 to 8.3

Which is 2 then 3.2.

In population 2:

Population is **decreasing** by 2.

Completing the table:

Population 1 Population 2

42.8 29

38.6 27

33.4 25

27.2 23

**Graph** is mentioned below.

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Can somebody please help me right now??? i’m stuck and i need help with this bad

**Answer:**

Is wolfgang Mozart's

**Step-by-step explanation:**

The central traits of the Classical style are all present in Mozart's music. Clarity, balance, and transparency are the hallmarks of his work, but simplistic notions of its delicacy mask the exceptional power of his finest masterpieces, such as the Piano Concerto No. 24 in C minor, K.

Suppose a triangle has sides a, b, and c, and that a² + b² < c². Let 9 be the

measure of the angle opposite the side of length c. Which of the following

must be true? Check all that apply.

A. The triangle is not a right triangle.

B. cose < 0

C. cose > 0

□ D. a² + b²-c² = 2abcose

SUBMIT

Using **trigonometry **we know that option (B) "cosθ < 0" is correct.

For a **right-angle triangle**, the sum of the **square **of the legs is equal to the hypotenuse side(longest side).

Therefore, for a right triangle

a² + b² = c²For the **triangle **that has a² + b² > c², it shows it is not a right triangle.

Cosine law:

c² = a² + b² - 2abcosθSubstitute the value then we get:

c² < c² - 2abcosθSubtracting c² on both sides of the **inequality**:

Adding 2abcosθ on both sides then we get:

2abcosθ < -2abcosθ + 2abcosθ = 02abcosθ < 0cosθ < 0cosθ is negative in the second quadrant and third quadrants.

Therefore, using **trigonometry **we know that option (B) "cosθ < 0" is correct.

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A rectangular driveway is 9 feet wide, and it has an area of 135 square feet. How lo g is the driveway

**Area of a Rectangle**

Given a rectangle of length L and width W, the area is calculated as follows:

A = L.W

We are given the area of A=135 square feet and the width is W= 9 ft. Solving for L:

[tex]L=\frac{A}{W}=\frac{135ft^2}{9ft}=15ft[/tex]**The driveway is 15 feet long**

Simplify. DO NOT PUT ANY SPACES IN YOUR ANSWER. - 3\4 (16r-24)

[tex]-12r+18[/tex]

**Explanation**

Step 1

eliminate the parenthesis applyng distributive property

[tex]\begin{gathered} -\frac{3}{4}(16r-24) \\ \frac{-3\cdot16r}{4}+\frac{3\cdot24}{4} \\ \frac{-48r}{4}+\frac{72}{4} \\ -12r+18 \end{gathered}[/tex]I hope this helps you

If y = 2x2 – 4, what is its inverse?

The **inverse** of the **function** y = 2 · x² - 4 is equal to y⁻¹ = √[(x + 4) / 2], such that x ≥ - 4. (Correct choice: **B**)

How to find the inverse of a function

In this problem we have a **quadratic function**, whose **inverse** has to be found. First, we make the following substitution on the **function**:

y = x

x = y⁻¹

Now we proceed to clear y⁻¹ by using algebra properties:

x = 2 · (y⁻¹)² - 4

x + 4 = 2 · (y⁻¹)²

(x + 4) / 2 = (y⁻¹)²

√[(x + 4) / 2] = y⁻¹

y⁻¹ = √[(x + 4) / 2], such that x ≥ - 4

The **inverse** of the **function** is equal to y⁻¹ = √[(x + 4) / 2], such that x ≥ - 4.

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ng waffles for breakfast. The recipe calls for 1/2 cups of water for every 2Jemina pancake mix. How many cups water would he need for only oneake mix? Show your work

Ratio:

cups of water / pancake mix = (1/2) / 2

For 1 pancake mix, x cups of water:

x / 1 = (1/2) / 2

Solve for x, cross multiply:

2x = ( 1/2) 1

2x = 1/2

Divide both sides by 2

2x/2 = (1/2) / 2

x = 1/4

**Answer:**

**She would need 1/4 cups of water **

what is 5 to the 6 power written in expanded form

5 to the 6th power is:

[tex]5^6[/tex]This, written in expanded form, is:

[tex]5\cdot5\cdot5\cdot5\cdot5\cdot5[/tex]For each graph below, state whether it represents a function.

Graph 1: No, because it fails the vertical line test.

Graph 2: No, because it fails the vertical line test.

Graph 3: Yes, because it passes the vertical line test.

Graph 4: Yes, because it passes the vertical line test.

Graph 5: No, because it fails the vertical line test.

Graph 6: Yes, because it passes the vertical line test.

The length of a rectangle is given by the function l(x)=2x+1, and the width of the rectangle is given by the function w(x)=x+4.Which function defines the area of the rectangle?Hint: A=l⋅w

The area of a rectangle is calculated using the formula:

[tex]A=l\times w[/tex]where l is the length and w is the width.

The functions for the length and width are given to be:

[tex]\begin{gathered} l(x)=2x+1 \\ w(x)=x+4 \end{gathered}[/tex]Therefore, the area of the rectangle will be:

[tex]A=(2x+1)(x+4)[/tex]We can apply the FOIL Method:

[tex](a+b)(c+d)=ac+ad+bc+bd[/tex]Therefore, we have:

[tex]\begin{gathered} \left(2x+1\right)\left(x+4\right)=2x\cdot x+2x\cdot\:4+1\cdot\:x+1\cdot\:4 \\ =2x^2+8x+x+4 \end{gathered}[/tex]Simplifying, **the area is:**

**The SECOND OPTION is correct.**

standard deviation for binomial distribution n=48 p=3/5

If a **standard **deviation for binomial distribution n = 48 p = 3/5 . The standard deviation is 3.39.

Using this **formula **to determine or find the standard deviation for the binomial distribution

σ =√np(1−p)

Where:

n = 48

p = 3 / 5 or 0.6

σ = ?

Let plug in the formula so as to determine the standard deviation

σ =√ (48) (0.6) ( 1 - 0.6)

σ =√ (48) (0.6) (0.4)

σ =√ 11.52

σ = 3.39

Therefore we can conclude that 3.39 is the standard **deviation**.

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Describe a series of transformations Matt can perform to device if the two windows are congruent

Combining the three different** transformations**—rotations, reflections, and translations—will result in congruent shapes. Actually, any pair of congruent shapes can be matched to one another using a combination of one or more of these three transformations.

There are four possible **transformations** of a point, line, or geometric figure, each of which changes the object's shape and/or location. Pre-Image denotes the **shape** of the object before transformation, while Image denotes the **final position** and shape of the object.

We now know that during rigid transformations, the size and shape of the figures are maintained (**reflections**, **translations**, and **rotations**). The pre-image and the image are always in agreement.

Matt has the following transformational abilities:

Reflection (Flip)

A reflection keeps its original shape because the comparable points from the pre-image to the image stay at the same distance from the line of reflection.

Rotations as a Congruence Transformation

**Rotations** as a Congruence Transformation

A figure twists when it rotates. The figurine looks to have fallen over, although being the same size and shape. A great illustration of a rotation in the actual world is a clock. The connecting arms of a clock rotate around its axis every hour or every day. A rotation is defined by its degree; common rotations include 90 degrees, 180 degrees, and 270 degrees. The figure completes a full 360-degree rotation before returning to its starting point. A rotation must include indicate the clockwise or counterclockwise direction. This information can be used to calculate the degree, quantity, and direction of a revolution.

**Translational** congruence transformation

We refer to a movement as a translation when an object or shape is moved from one place to another without changing its **size**, **shape**, or orientation. Every point on an item or shape is moved by the same amount and in the same direction during a **translation**, sometimes referred to as a slide.

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a bond issue outstanding that matures in 19 years. The bonds pay interest semiannually. The bonds have a face value of $1,000 and are currently priced at $995.28. The bonds carry a coupon rate of 3.5 percent. What is the aftertax cost of debt if the total tax rate is 22 percent? Multiple Choice

The **after tax cost of debt **for the bond is 2.73%

Given,

The **face value** of the bond, FV = $1000

Present value of the bond, PV = $995.28

Maturity period = 19 years

Coupon rate = 3.5%

Total tax rate = 22%

We have to find the after tax cost of debt for the bond.

The bond pays interest semiannually ;

so **coupon rate** = 3.5/2 = 1.75

Coupon payment , pmt= 0.0175 x 1000 = $17.5

Maturity, nper = 19 years x 2 = 38

Compute yield rate using spreadsheet = Rate(nper,pmt,-PV, FV)

Then,

= RATE(38, 17.5, -995.28, 1000)

Rate or yield is computed as 3.5%

The** present value** is negative as it is a cash outflow.

The cost of debt is 3.5%

The tax rate is 22%

After tax** cost of debt** = 3.5 (1 - 0.22) = 2.73%

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Which words describe the polynomial? (Select all that apply) * (1 Point)

f (x) = x^4 - 2

quartic

trinomial

cubic

quadratic

binomial

A quartic function is a **quartic polynomial**, which is an integer-coefficients polynomial with a **four-degree maximum.**

A quartic function is a quartic polynomial, which is an integer-coefficients polynomial with a **four-degree maximum.**

Quartic in mathematics refers to something that is of the "**fourth order**," such as a function. One of the following is possible: Quartic function, a fourth-degree polynomial function. **Quartic polynomial**, a polynomial equation of** degree 4,** where an is a nonzero polynomial that defines the quartic equation.

A quartic equation, also known as an equation of the fourth degree, is an equation of the form that reduces a quartic polynomial to **zero**. A quartic function's derivative is a **cubic function**.

Therefore, the correct answer is option a) quartic.

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A survey showed that of college students read internet news on a regular basis and that of college students regularly watch the news on TV. The survey also showed that of college students both follow TV news regularly and read internet news regularly.

(a)What is the probability that a student watches TV news regularly, given that he or she regularly reads internet news? Round your answer to the nearest hundredth.

(b)What is the probability that a randomly selected college student reads internet news regularly, given that he or she watches TV news regularly? Round your answer to the nearest hundredth.

For the given values, the **probability **that a student watches TV news regularly is ** 0.833, the probability **that a randomly selected college student reads internet news regularly is ** 0.240.**

According to a survey,** 83% of college** students routinely watch the news on television, while **24%** of college students read **newspapers **on a regular basis.

Additionally, the survey revealed that** 20% of college students **routinely read newspapers and watch TV news.

(A) Given that a student reads newspapers frequently,

The answer is** [P(TV and newspapers)/P] **where P(watches TV|reads newspapers) (newspapers)

**= 0.20/0.24 = 0.833**

(b) Given that a randomly chosen college student watches TV news frequently

The answer is that** P(newspapers | watches TV) **= [P(newspapers and TV)] / P. (TV)

**= 0.20/0.83 = 0.240**

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I need help solving an answering this practice problems from my pre-calculus prep guide

The general formula of a geometric sequence is:

[tex]a_n=a_1(r)^{n-1}[/tex]where,

n = 6

a₁ = -8100

r = -0.1

Replacing on the formula:

[tex]\begin{gathered} a_6\text{ = -8100}\times(-0.1)^{6-1} \\ a_6\text{ = 0.081} \end{gathered}[/tex]

Help step by step pleaseeee

The graphic below includes the graph of the provided question.

The **horizontal** **axis** is x-axis

The **vertical** **axis** is y-axis.

Points that are situated along the same straight line but within a single line are known as **collinear** **points**. Two or more points in Euclidean geometry are said to be **collinear** if they are situated on a line that is either close to or far from one another.

All the points necessary to solve the **equation** will be positive and negative in turn, and that point will form a straight line through the origin, indicating that all the points are **collinear**.

You can change the value to fit your graph in the **diagram** that corresponds to the graph for the question that is attached below.

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21. Complete the following transactions and explain how they would appear in your register.

(5 points each - 2 points for the correct answers and 3 points for a correct explanation of your

process)

• You open your bank account on April 16 with a tax refund check of $145.00.

You pay Sell Phone $65.34 on April 18. (Check 794)

• You deposit your paycheck on April 23. ($9.76 hour for 35 hours)

• You buy $61.32 (4% sales tax not included) in clothes from BargainsRUs on April 24

using your debit card.

Be sure to include in your response:

.

• the steps you followed to complete your computations

the balance as of April 24

• the process for entering the transaction in the registry

(5 points)

After all the transaction, **money** left in the bank **account** is $15.8872.

Given that, you open your bank account on April 16 with a tax refund check of $145.00. You pay Sell Phone $65.34 on April 18.

What is a tax refund check?A **tax** **refund** is a reimbursement to a **taxpayer** for any excess amount paid to the federal government or a state government.

On April 16th **balance** in the **account** = $145.00 cost of phone = $65.34 on April 18.

Balance on April 18 = 145.00-65.34

= $79.66

**Deposited** check $9.76 on 23rd April for 35 hours

Balance on 23rd April = 79.66+9.76

=$89.42

Since, the check deposited only for 35 hours, again balance on 24th April will be $79.66

On 24th April you brought clothes from BargainsRUs for

61.32+4% of 61.32

= 61.32+2.4528

= $63.7728

So, the **remaining** **balance** in the account = 79.66-63.7728

=$15.8872

Therefore, after all the transaction, **money** left in the bank **account** is $15.8872.

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What do the 2 points on the graph mean in terms of the situation

Coordinates - A pair of** integers** that show the** location** of a point on a graph. The first number represents the x-axis, while the second represents the y-axis.

Other names for this type of pair are ordered pair and **numbered pair**. A proportionate connection is one in which the values are all connected by the same constant value. A proportionate connection is also known as a linear relationship in mathematics.

Assume f(x) and g(x) are two functions that accept a real number as input and return a real number as output.

The **intersection** points of f(x) and g(x) are then those x values for which f(x)=g(x).

The precise numbers can sometimes be discovered by** algebraically **solving the equation f(x)=g(x).

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What are the X and Y intercepts for the graph shown in the picture?

Based on the given figure, you can conclude:

**x-intercepts:**

x = 0

x = number in between 100 and 125, approximately 105

x = number greater than 175, approximately 180

**y-intercepts:**

y = 0

For the second and third x-intercepts there is no possible to specifiy the exact numbers due to the scale units of the graph.

Using synthetic division what is the first row for the dividend (divided) and the divisor value using synthetic division process:

2x3−10x+2/x−4

Using **synthetic division**, the solution to the polynomial fraction expression is; 2x² - 10 + 12/(x - 4)

We are given the **polynomial fraction** as;

(2x³ - 10x + 2)/(x- 4)

This means that we want to divide the polynomial (2x³ - 10x + 2) by (x - 4) using **synthetic division.**

For the divisor, we have x - 4, and that means x - 4 = 0, x = 4

So, we'll be using 4 for the** synthetic division** and we have;

-1 | 2 0 -10 2

× 0 0 10

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

2 0 -10 12

Now we will form the expression in the form of fraction again;

2x² - 10 + (12/(x - 4))

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Write the conditional

statement in if-then form.

The vertices of a triangle

are not colinear.

The **conditional** **statement** for "The vertices of a triangle are not collinear" is "if the points are not **collinear** then they are **vertices** of triangle."

**Conditionals** are commands used in **programming** languages to handle choices. Particularly, conditionals carry out various **calculations** or actions based on whether a **boolean** condition defined by the programmer **evaluates** to true or false.

The **hypothesis **is a prediction of what will **transpire** in your experiment. The **words** "IF" and "THEN" are frequently used when writing the hypothesis. For **instance**, "I will fail the test if I don't study." Your **independent** and dependent **variables** are **reflected** in the "if" and "then" statements.

"The vertices of a triangle are not collinear" has a **conditional** statement that **reads**, "If the points are not **collinear**, then they are vertices of the triangle."

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Solve the inequality and graph the solution on the line provided. 9 + 3x ≥ -6

9 + 3x ≥ -6

9 is adding on the left, then it will subtract on the right

3x ≥ -6 - 9

3x ≥ -15

3 is multiplying on the left, then it will divide on the right

x ≥ -15/3

**x ≥ -5**

Noah operates an orange juice stand. On Monday he used 3 3/10 bags of oranges. On Tuesday he used 1/6 as many oranges as on Monday. How many bags of oranges did Noah use on Tuesday?

Write your answer as a fraction or as a whole or mixed number.

The **number** of **bags** of oranges Noah used on **Tuesday** as required to be determined in the task content is; 11/20 bags of oranges.

It follows from the task content that Noah used 3 3/10 bags of oranges on Monday.

Hence, by expressing the **mixed number**, 3 3/10 as a **fraction**; we have; 33/10.

Therefore, since he uses 1/6 as many oranges as on Monday on Tuesday;

The **number** of **bags** of oranges used on Tuesday is; (1/6) × 33/10

= 33/60

= 11/20.

Therefore, the **number** of **bags** of oranges Noah uses on Tuesday is; 11/20.

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In december 2004 35% of student in the high school were satisfied with the lunches supplies through the school of the 856 survey, 265 inducted they were satisfied does this suggests the proportion of student satisfied with the quality of lunches has decreased

What does it means to make a type 2 error for the test

When one fails to reject a **null hypothesis **that is actually wrong, this error is known statistically as a** type II error. **This term is used in the context of **hypothesis testing**.

A type II error, often called an error of omission, results in a false negative. When the patient is infected, a disease test, for instance, can return a negative result. This is a** type II error **because, despite being wrong, we accept the test's negative conclusion.

The difference between a** type I and type II error **is that a type I error refers to the failure to reject a valid **null hypothesis**, whereas a type II error refers to the failure to do so. Despite the fact that the error does not happen by accident, it rejects the **alternative theory**.

The likelihood of mistakenly failing to **reject **the **null hypothesis** when it does not apply to the entire population is known as a** type II error.**

In essence, a type II error is a false negative.

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Transforming the graph of a quadratic, cubic, square root, or absolute value function

**Explanation:**

If we have a function g(x) = -f(x), then g(x) will be f(x) reflected across the x-axis.

If g(x) = f(x) - c, g(x) will be f(x) shifted c units down

If g(x) = f(x + c), g(x) will be f(x) shifted c units to the left.

In this case, the initial function is f(x) = |x| and g(x) = -|x + 3| - 2, then

g(x) = -f(x + 3) - 2

Therefore, g(x) will be the initial function reflected across the x-axis, shifted 3 units to the left and 2 units down.

**Answer:**

So, the graph for y = -|x + 3| - 2 will be:

what is a root of a parabola?

The roots of a prabola is where the function intersects the x-axis.

So what's in the photo is what I need help with.

**Answer: **

1 == B No Solutions

2 == A One Solution

3 == C Infinitely Many Solutions

**Explanation: **

**We first find go through each system and see which has one solution, no solutions, and infinitely many solutions. **

**1. **

**x**

Serum albumin levels in adults are distributed approximately Normally with a mean of 35 g/l and a standard deviation of 5 g/l. What is the probability that a randomly selected adult has a serum albumin level greater than 32.5 g/l? (Enter your answer rounded to two decimal places.)

There is a 0.6915 = 69.15% **probability **that a randomly selected adult has a serum albumin level greater than 32.5 g/l.

The **z-score** of a **measure X** of a normally distributed variable that has **mean **represented by [tex]\mu[/tex] and **standard deviation** represented by [tex]\sigma[/tex] is given by the rule presented below:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-scoreThe **mean **and the **standard deviation** of the albumin levels are given as follows:

[tex]\mu = 35, \sigma = 5[/tex]

The **probability **that a randomly selected adult has a serum albumin level greater than 32.5 g/l is one subtracted by the p-value of Z when X = 32.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (32.5 - 35)/5

Z = -0.5

Z = -0.5 has a p-value of 0.3085.

1 - 0.3085 = 0.6915 = 69.15% probability.

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Use the above data to calculate the correlation coefficient Answer Choices.0.890.94-0.89-0.94

Using the table, we have the following points:

(x1, y1) ==> (2.5, 3), (3.5, 4.5), (5, 4.8), (5.5, 5.2), (6, 5.5)

Let's find the correlation coefficient.

To find the correlation coefficient, apply the formula:

[tex]r=\frac{n\Sigma xy-\Sigma x\Sigma y}{\sqrt{(n\Sigma x^2-\Sigma(x)^2)(n}\Sigma y^2-\Sigma(y)^2)}[/tex]Where:

n = 5

Σx = 2.5 + 3.5 + 5 + 5.5 + 6 = 22.5

Σy = 3 + 4.5 + 4.8 + 5.2 + 5.5 = 23

Σxy = 2.5⋅3 + 3.5⋅4.5 + 5⋅4.8 + 5.5⋅5.2 + 6⋅5.5 = 108.85

Σx² = 2.5² + 3.5² + 5² + 5.5² + 6² = 109.75

Σy² = 109.6

Plug in values in the formula and solve for r.

We have:

[tex]\begin{gathered} r=\frac{5(108.85)-(22.5)(23)}{\sqrt{(5(109.75)-22.5^2)(5(109.6)-(23)^2}} \\ \\ r=0.94 \end{gathered}[/tex]**Therefore, the coefficient is **** 0.94 **

**ANSWER:**

**0.94**

annette has purchased a new external dvd drive to use with her pc. she inserts a dvd into the drive and, after several seconds, she receives an error message indicating that the drive is not accessible.
The company, where you are working, wants to implement a quality management system based on the standard of ISO 9001:2015. As a quality consultant to the company, elaborate on the steps that you will undertake to achieve its implementation.Include in your answer the different types of documentations required.
help me, please help
Calculate the wavelength of a light that has an energy of 9.55x10^-19J.
Which of the following macromolecule provides quick energy to cells?O lipidO proteinO carbohydrateO nucleic acid
The war with France had been expensive and wasnot yet paid for. How was the proclamation a tool tohelp pay for the war?
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14. Use Structure Consider the rationalnumber.a. What are the values of a and b in a)b wheryou use division to find the decimal form?b. What is the decimal form for?3/11