Please help! Equation is below.

Therefore, the simplified sum of the expression 7 1/4 and 4 5/12 is 35/3 that is option D, 11 2/3.

In mathematics, an expression is a combination of symbols and/or numbers that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve arithmetic operations, algebraic operations, functions, and variables.

Here,

To add these mixed numbers, we need to first convert them to improper fractions with the same denominator:

7 1/4 = 28/4 + 1/4

= 29/4

4 5/12 = 48/12 + 5/12

= 53/12

Now, we can add the fractions:

=29/4 + 53/12

To find a common denominator, we can multiply the denominator of the first fraction by 3 and the denominator of the second fraction by 1:

29/4 × 3/3 = 87/12

53/12 × 1/1 = 53/12

Now we have the same denominator, so we can add the numerators:

87/12 + 53/12 = 140/12

We can simplify by dividing the numerator and denominator by their greatest common factor, which is 4:

140/12 ÷ 4/4 = 35/3

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Answer: C Q

Step-by-step explanation:

You need to Use Q And C In algebra if thats what your going for. Hopefully this help's.

Thus, with 99% confidence, we can say that the proportion of smeared ink in the 200 sheets of paper inspected falls between 1.3% and 15.7%.

To calculate the confidence interval of the proportion smeared in 200 sheets of paper inspected for smeared ink, we can use the formula:

Confidence Interval = sample proportion ± (critical value) x (standard error)

The sample proportion is the number of sheets containing smeared ink divided by the total number of sheets inspected, which is 17/200 = 0.085.

The critical value for a 99% two-sided confidence interval with 200 observations can be found using a t-distribution table or calculator, and is approximately 2.576.

The standard error can be calculated as the square root of [(sample proportion) x (1 - sample proportion) / sample size], which is the square root of [(0.085) x (1 - 0.085) / 200] = 0.028.

Plugging in these values, we get:

Confidence Interval = 0.085 ± (2.576) x (0.028)
Confidence Interval = 0.085 ± 0.072
Confidence Interval = (0.013, 0.157)

Therefore, with 99% confidence, we can say that the proportion of smeared ink in the 200 sheets of paper inspected falls between 1.3% and 15.7%. This means that we are 99% confident that the true proportion of smeared ink in the population of printed sheets falls within this range.

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Jim's daily income must be less than $2 in order for him to be considered impoverished.

Income is an entity's ability to save and spend money during a given period of time, and it usually appears in terms of money. In principle, income can be hard to establish, and there may be variations depending on the field.

According to the World Bank's definition, there are two categories for impoverished people's salaries:

a) Moderate Poverty - A person is deemed to be in moderate poverty if their daily income is less than $2.

b) Extreme Poverty - While a person is deemed to be living in extreme poverty if they make less than 1.2 dollars per day.

Jim's daily wage must be less than $2 in order for him to be classified as impoverished.

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Answer:

Step-by-step explanation:

The concept of absolute value can be used to determine which temperature is warmer between -4.5°C and 3.5°C. Absolute value is a mathematical function that returns the magnitude, or distance, of a number from zero, regardless of whether the number is positive or negative. In other words, the absolute value of a number is always a positive number.

In this case, we can calculate the absolute value of each temperature as follows:

| -4.5°C | = 4.5°C

| 3.5°C | = 3.5°C

The absolute value of -4.5°C is 4.5°C, which is greater than the absolute value of 3.5°C, which is 3.5°C. This means that -4.5°C is further from zero than 3.5°C, and therefore it is a colder temperature. So, the temperature of 3.5°C is warmer than the temperature of -4.5°C.

Therefore, we can use the concept of absolute value to determine which temperature is warmer by comparing the absolute values of the temperatures. The temperature with the greater absolute value is farther from zero, and therefore colder, while the temperature with the smaller absolute value is closer to zero, and therefore warmer.

The Surface Area of wooden box is 432 inch².

We have,

length = 12 inch

width = 8 inch

Height = 6 inch

So, Surface Area of wooden box

= 2 (lw + wh + lh)

= 2 (96 + 48 + 72)

= 2 x 216

= 432 inch²

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The two consecutive digits whose product is 132 are equals to 11 and 12.

Product of two consecutive digits = 132

Let us consider that the two consecutive digits are y and y+1.

Then we can write the expression as,

⇒y × ( y + 1 ) = 132

Expanding the left side of the expression, we get,

⇒ y² + y = 132

Rearranging the values and solving for y, we get,

⇒ y² + y - 132 = 0

Factorize this quadratic equation to get the value of y we have,

⇒ y² + 12y - 11y - 132 = 0

⇒ y( y + 12 ) -11 ( y + 12 ) = 0

⇒ ( y + 12)(y - 11) = 0

This implies,

The two possible values of y are -12 and 11.

However, choose the positive value of y .

Since we are dealing with digits.

Thus, y = 11, and the consecutive digits are 11 and 12.

Therefore, the two consecutive digits are 11 and 12, and their product is indeed 132.

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The given question is incomplete, I answer the question in general according to my knowledge:

The product of two consecutive digit is equal to 132 . What are the numbers?

After answering the presented question, we may conclude that  expressions As a result, Ms. Jimenez contributes roughly $41.54 to her retirement fund each week.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression (such as addition, subtraction, multiplication, or division) is made up of numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

We need to do the following to figure out how much money Ms. Jimenez puts into her retirement fund each week:

Ms. Jimenez's yearly retirement fund contribution is calculated as follows:

8% of $27,000 = annual retirement fund contribution

= 0.08 x $27,000

= $2,160

To calculate the weekly retirement fund contribution, divide the yearly payment by the number of weeks in the year:

Contribution to a retirement fund on a weekly basis = Annual contribution to a retirement fund divided by the number of weeks in a year

= $2,160 / 52

≈ $41.54

As a result, Ms. Jimenez contributes roughly $41.54 to her retirement fund each week.

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The type of error that could have occurred in this scenario is a Type II error. A Type II error occurs when the null hypothesis is not rejected, even though it is false.

In this case, the null hypothesis is that the proportion of defective bulbs in the shipment is greater than or equal to 5%. By not rejecting this null hypothesis, the company is accepting the possibility that the shipment has a high proportion of defective bulbs, when in reality it does not. This can lead to significant costs for the company, such as the cost of returning the shipment or the cost of replacing defective bulbs in the future.

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The distance between the end of the water supply pipe and the sink should be 2 times the diameter of the supply pipe. Option B is the correct answer.

The distance between the end of the water supply pipe and the sink is determined by plumbing codes and standards to ensure safe and efficient water delivery.

The National Standard Plumbing Code requires a minimum distance of 2 times the diameter of the supply pipe between the end of the pipe and the nearest point of use, such as a faucet or sink.

This helps prevent any potential contamination from the supply pipe and ensures adequate flow and pressure for efficient operation.

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If the base of an isosceles triangle is 50 cm and the length of one of its legs is 65 cm, the height of the isosceles triangle is 60 cm.

To find the height of the isosceles triangle, we need to use the Pythagorean theorem and the properties of isosceles triangles.

First, we draw a diagram of the triangle and label the known values. We know that the base is 50 cm and one of the legs is 65 cm. Since the triangle is isosceles, the other leg is also 65 cm.

Next, we can draw a perpendicular line from the top vertex to the base, which represents the height of the triangle. We can label this height as "h".

Now, we have a right triangle with a base of 50 cm, a hypotenuse of 65 cm, and a height of "h". We can use the Pythagorean theorem to find the value of "h":

h² + 25² = 65²

h² + 625 = 4225

h² = 3600

h = 60

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There are 60 apples in the bag

Let y represent the total number of apples that is in the bag

36/y= 60/100

cross multiply both sides

60y= 36×100
60y= 3600

Divide both sides by the coefficient of y which is 60

60y/60= 3600/60

y= 60

Hence the total number of apples in the bag is 60 apples

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Based on the medians, we can conclude that Bus 47 typically has a faster travel time than Bus 18. The median travel time for Bus 47 is 16 minutes, which is 3 minutes faster than the median travel time for Bus 18, which is 13 minutes.

To determine which bus typically has the faster travel time, we need to compare the measures of center for each data set. Since the data sets are relatively small and appear to have some outliers, the median is the more appropriate measure of center to use in this case, as it is less affected by extreme values than the mean.

For Bus 47, the median is 16, which means that half of the students take less than 16 minutes to travel to school on that bus, and half take more than 16 minutes.

For Bus 18, the median is 13, which means that half of the students take less than 13 minutes to travel to school on that bus, and half take more than 13 minutes.

Therefore, based on the medians, we can conclude that Bus 47 typically has a faster travel time than Bus 18. The median travel time for Bus 47 is 16 minutes, which is 3 minutes faster than the median travel time for Bus 18, which is 13 minutes.

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Every vector b in R3, the equation Ax = b has a solution if every row of A has a pivot.

The statement is true.

True.

If a reduced echelon matrix in R3 is obtained by row operations from a matrix A, then the reduced echelon matrix is in row echelon form and is equivalent to the original matrix A.

If every row of A has a pivot, then every row has a leading non-zero entry in the row echelon form of A.

This means that each row of the row echelon form of A has a pivot, and so the matrix has full row rank.

The number of pivot columns in the reduced echelon matrix equals the row rank of A, which is also the same as the column rank of A.

Vector b in R3, the equation Ax = b has a solution if and only if b is a linear combination of the columns of A.

If A has full column rank, then the columns of A span the column space of A, which means that any vector in the column space can be expressed as a linear combination of the columns of A.

If every row of A has a pivot, then A has full row rank, full column rank, and the columns of A span R3.

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Answer:

Step-by-step explanation:

angle L is 106 degrees

x= 2

angle LMK is 37 degrees

its equal, you can check by adding up all the angles to 360 degrees

Therefore, the can of beans that is the best deal is option b, which has the lowest price per unit volume.

Volume is a measure of the amount of space occupied by an object or a substance. It is often measured in cubic units such as cubic centimeters, cubic inches, or cubic meters. The formula for finding the volume of different objects may vary based on their shape and size, but it typically involves measuring the length, width, and height of the object and multiplying them together.

Here,

To determine which can of beans is the better deal, we need to compare their volumes and prices per unit volume.

The volume of the small can of beans is:

V₁ = πr₁²h₁

= π*(1)²*(3)

= 3π

The price per unit volume of the small can is:

P₁ = $1.49 / 3π

≈ $0.157 per cubic inch

For the other cans of beans, we can calculate their volumes and prices per unit volume:

a. V₂ = πr₂²h₂

= π*(3)²*(9)

= 81π

P₂ = $39.95 / 81π

≈ $0.155 per cubic inch

b. V₃ = πr₃²h₃

= π*(2)²*(3)

= 12π

P₃ = $5.96 / 12π

≈ $0.132 per cubic inch

c. V₄ = πr₄²h₄

= π*(3)²*(3)

=27π

P₄ = $13.41 / 27π

≈ $0.165 per cubic inch

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Joseph must score at least 32 on exam B to do equivalently well as he did on exam A.

To determine how well Joseph must score on exam B in order to do equivalently well as he did on exam A, we need to find the equivalent z-score for his exam A score and then use it to find the corresponding score on exam B.

First, we find the z-score for Joseph's exam A score:

z = (x - mu) / sigma

z = (516 - 600) / 40

z = -2.1

The z-score of -2.1 indicates that Joseph's exam A score is 2.1 standard deviations below the mean.

To find the equivalent score on exam B, we use the formula:

z = (x - mu) / sigma

Solving for x, we get:

x = z * sigma + mu

x = -2.1 * 20 + 76

x = 32

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The solution set for this equation S^2-11s can be expressed as 0, 11.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equal sign (=). The LHS and RHS can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and so on. The purpose of an equation is to find the value(s) of the variable(s) that make the equation true.

Given that S^2-11s, which can be written as S^2-11s = 0 We can factor the expression on the left-hand side to get:

S(S-11) = 0

Then this  equation is satisfied when either S = 0 or S-11 = 0. Thus, the solution set is: S = {0, 11}

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Jow will need to pay a commision of $7.50. The total amount charged by the broker will be $17.50

Joes current portfolio is worth $50,000

A purchase price one share =  $15

He wants to purchase 50 shares of a company's stock

Using unitary method the cost of 50 shares would be,

C = 50 × 15

C = $750

Since his portfolio is less than $100000 the amount chanrged by the broker would be equal to the 1% commision plus fees per trade.

First we find the commision.

1 percent of $750

= 1/100 × 750

= $7.5

And the fees per trade = $10

So, the total amount charged by the broker = $10 + $7.5

                                                                     = $17.5

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Find the complete question below.

Given the inverse demand function p = 100 - 20q for toasters and a price of $35, we can find the consumer surplus.

First, we'll find the quantity demanded at the given price:

35 = 100 - 20q
20q = 100 - 35
q = (100 - 35) / 20
q = 65 / 20
q = 3.25

Now, to find the consumer surplus, we'll use the formula:

Consumer Surplus = (1/2) × Base × Height

The base represents the quantity (q = 3.25) and the height is the difference between the maximum willingness to pay (p = 100) and the actual price (p = 35).

Consumer Surplus = (1/2) × 3.25 × (100 - 35)
Consumer Surplus = 0.5 × 3.25 × 65
Consumer Surplus = 105.625

So, the consumer surplus is $105.63 when rounded to two decimal places.

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The circle graph would be the best graphical representation for the given scenario as it effectively shows the proportion of students who preferred each subject.

For the given scenario where the teacher gathered data from a random sample of 100 students in a particular school and wants to represent the preferred subject of the students, the most appropriate graphical representation would be a circle graph or a pie chart.

A circle graph is a circular chart that is divided into sectors, where each sector represents a portion of the whole.

In this case, each sector can represent the percentage or number of students who preferred a particular subject. The circle graph is suitable when we want to show the proportion of different categories or data that add up to a whole.

On the other hand, a stem-and-leaf plot, histogram, and box plot are usually used to represent quantitative data, such as measures of central tendency (mean, median, mode), range, and distribution.

They are not ideal for categorical data like the preferred subject of students.

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Answer:i thing the anwser is 56

Step-by-step explanation:

Answer:

  -x⁵ +3x² +3x +C

Step-by-step explanation:

You want the indefinite integral of (-5x⁴ +6x +3).

The power rule for integration is the reverse of the power rule for derivatives.

  [tex]\begin{array}{ll}\text{Derivative:}&\dfrac{d(x^n)}{dx}=n\cdot x^{n-1}\\\\\text{Integral:}&\displaystyle\int {x^n}\,dx=\dfrac{x^{n+1}}{n+1}\end{array}[/tex]

An indefinite integral represents a family of functions, each with the same derivative. In general, they may differ by a constant. That constant is necessary to signify the functions that will have the given expression as their derivative.

  [tex]\displaystyle\int {(-5x^4+6x+3)}\,dx=-5\dfrac{x^{4+1}}{4+1}+6\dfrac{x^{1+1}}{1+1}+3\dfrac{x^{0+1}}{0+1}=\boxed{-x^5+3x^2+3x+C}[/tex]

Answer:

C. 15 + 18x ≥ 95

Step-by-step explanation:

Given: She has $15 saved so far

She earns $18.00 for each lawn she mows (each lawn she mows = x)

The inequality has to be greater or equal to $95.00, so she can have enough to buy a pair of shoes.

15 + 18x ≥ 95

Using a system of equations, the number of bracelets made and the number of necklaces made are:

A system of equations is two or more equations that can be solved simultaneously or at the same time.

Simultaneous equations can be solved concurrently.

Quantity of gold in each bracelet = 6 grams

Quantity of gold in each necklace = 24 grams

The total number of bracelets and necklaces made = 16

The total quantity of gold used in making the 16 pieces = 258 grams

Let the number of bracelets made = x

Let the number of necklaces made = y

x + y = 16 ...Equation 1

6x + 24y = 258 ...Equation 2

Multiply Equation 1 by 6:

6x + 6y = 96 ...Equation 3

Subtract Equation 3 from Equation 2:

6x + 24y = 258

-

6x + 6y = 96

18y = 162

y = 9

x = 7 (16 - 9)

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Once you have information with two quantitative factors, x, and y, and you watch a common slant that changes heading, one good method to decide in case there's a relationship between x and y and to form a show that permits you to anticipate the anticipated esteem of y based on x is to utilize polynomial regression.

Polynomial relapse may be a sort of relapse investigation in which the relationship between the free variable (x) and the dependent variable (y) is modeled as an nth-degree polynomial. By fitting a polynomial work to the information, you'll be able to capture the common drift of the information even if it changes course and utilizes it. to foresee the anticipated esteem of y based on a given esteem of x.

polynomial relapse can be a valuable method to analyze and show information with a changing drift and give experiences into the relationship between x and y. 

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Statements I, II, and III are partially correct, but statement II needs to be corrected to indicate that stem plots are better for small to moderate-sized datasets.

We might choose to display data with a stem plot rather than a boxplot because:

Reveals the shape of the distribution.

Is better for small to moderate-sized datasets.

Displays the actual data.

A stem plot is a type of graph that shows the distribution of data by grouping the observations into stems and leaves.

It allows for the display of the actual data values, which is not possible in a boxplot.

Additionally, stem plots are particularly useful for small to moderate-sized datasets as they provide a detailed view of the distribution, allowing for the identification of patterns such as skewness, multimodality, and outliers.

On the other hand, boxplots are better for large datasets as they provide a more concise summary of the distribution, including information about the median, quartiles, and outliers, while still conveying information about the spread and shape of the distribution.

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a) 'The IQR is a better measure of spread for movies than it is for basketball games' best describes how to measure the spread of the data

According to the information provided, the box plots for movies and basketball games indicate that both have the same range of attendance data, with a minimum of 60 and a maximum of 150. However, when comparing the interquartile ranges (IQRs) of the two box plots, it can be seen that the IQR for movies is smaller than the IQR for basketball games.

The IQR represents the middle 50% of the data, and the smaller IQR for movies suggests that the attendance data for movies is more closely clustered around the median than the attendance data for basketball games. Therefore, the IQR is a better measure of spread for movies than it is for basketball games, as it gives a more accurate representation of the variability of the data for movies.

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BMED is a trapezoid and OD is equals to BD/2. Proof of these is given below.

It should be noted that to prove that BMED is a trapezoid, we need to show that either BM || ED or BM || DE. We will show that BM || DE.

Since O is the midpoint of AM, we have OA = OM, and thus triangle ODM is isosceles. Therefore, OD = DM.

Also, since E is the midpoint of DC, we have DE || AB (because AB is also a mid-segment of triangle ADC). Therefore, angle ADE = angle ABC.

Using the fact that angles in a triangle add up to 180 degrees, we have:

angle EDC + angle ADE + angle CED = 180 degrees

Substituting angle ADE = angle ABC, we get:

angle EDC + angle ABC + angle CED = 180 degrees

But angle CED = angle BCD (because they are alternate interior angles formed by transversal BD cutting parallel lines DC and AB). Therefore:

angle EDC + angle ABC + angle BCD = 180 degrees

This means that angles BCD, ABC, and EDC are all on the same line, and thus angle BCD + angle ABC = 180 degrees.

Now, using the fact that angles in a triangle add up to 180 degrees, we have:

angle BAC + angle ABC + angle ACB = 180 degrees

Substituting angle BCD + angle ABC = 180 degrees, we get:

angle BAC + angle BCD + angle ACB = 180 degrees

Since triangle BCD is isosceles (because BD is an angle bisector), we have angle BCD = angle CBD. Therefore:

angle BAC + angle CBD + angle ACB = 180 degrees

But angle ACD = angle ACB + angle CBD, so:

angle BAC + angle ACD = 180 degrees

This means that triangle ABC is similar to triangle ACD.

Now, since BM is a median of triangle ABC, we have:

BM = 1/2 AC

But triangle ADC is similar to triangle ABC, so:

AC = 2 AD

Therefore:

BM = AC/2 = AD

So we have BM || DE, and BM = DE, which means that BMED is a trapezoid.

2. To prove that D is the midpoint of AE, we will use the fact that BMED is a trapezoid. Since BM || DE, we have:

BD/DM = BE/EM

But DM = OD (since triangle ODM is isosceles) and EM = DC/2 = AC/4 (since E is the midpoint of DC and AC is a mid-segment of triangle ADC).

Therefore:

BD/OD = BE/(AC/4)

But we also have:

BE = BD + DE = BD + BM = 2BD

Substituting this into the previous equation, we get:

BD/OD = 2BD/(AC/4)

Simplifying:

BD/OD = 8BD/AC

This means that:

OD = AC/8

But we also know that AC = 2AD, so:

OD = AD/4

Since O is the midpoint of AM, we also have:

OD = OM = AM/2

Therefore:

AD/4 = AM/2

This means that:

AD = 2AM/4 = AM/2 = OD

So D is the midpoint of AE, and CD = 2AD.

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In a triangle ABC. [AM] is the median relative to [BC] and O is the midpoint of [AM]. (BO) cuts [AC] at D. Let E be the midpoint of [DC]. 1) Prove that BMED is a trapezoid. 2) Prove that D is the midpoint of [AE); deduce that CD = 2AD. 3) Prove that OD == BD.