Jordan compared 10 books at the school library. The following table shows the number of chapters and the total number of pages for each book.


Number of Chapters 3 4 5 8 10 12 13 14 16 20
Total Pages 18 38 45 85 76 145 138 160 180 220

Which of the following representations is most appropriate to show the relationship between the number of chapters and the total pages of a book?

Josh multiplies 6 with number 2.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation.

Given,

Josh multiples the number 6 by another number and the product is more than 6.

Let the number be x

Equation becomes

6 × x = 6 + 6

6x = 12

x = 12/6

x = 2

Hence, 2 is the number that Josh multiplies 6 by.

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Factors to consider when selecting criteria for decision rules include: III. (I) The decision maker's attitude and (II) The nature of the situation

Both the decision maker's attitude and the nature of the situation must be considered when selecting criteria for decision rules.

When selecting criteria for decision rules, it is important to consider both the decision maker's attitude and the nature of the situation. The decision maker's attitude includes their preferences, goals, and values. The nature of the situation includes the resources available to them, the timeframe, and the costs and benefits associated with the decision. Both of these factors must be taken into account in order to make an informed decision.

Here's the full task:

Factors to consider when selecting criteria for decision rules include:

Choose the right option:

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It is possible for more than half of the scores to have values below the mean, as the mean is given by the sum of all the values divided by the number of scores, hence a high outlier would cause a mean higher than more than half the scores.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

Suppose a data-set given as follows:

1, 1, 1, 1, 20.

The mean is given as follows:

Mean = (1 + 1 + 1 + 1 + 20)/5

Mean = 4.8.

Which is greater than 4 out of 5 scores, that is, greater than 80% of the data-set, meaning that 80% of the data-set has values below the mean, as the observation 20 is a high outliers.

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The minimum hourly wage that Jude may receive per hour in Sioux City is $7.25. It depends on the applicable federal and state minimum wage laws in effect in Sioux City, Iowa.

As of my knowledge cut-off in 2021, the federal minimum wage is $7.25 per hour. However, some states, including Iowa, have set a higher minimum wage. As of 2021, the minimum wage in Iowa is $7.25 per hour.

It's worth noting that the minimum wage may have changed since my training data cut-off, so I would advise checking the current laws in your area to determine the exact minimum wage that Jude may receive. Therefore the average wage per hour in Sioux City is $7.25.

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The correct question for the answer is

Jude is a full-time student working in the library at Sioux city college in Sioux city, Iowa. what is the minimum hourly wage that Jude may receive?

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Answer:

Based on the information, the most appropriate graph to construct with the data given in the table to observe how miles change over a certain number of days would be a line graph because it would show how a variable changes over time between each individual data point. .

What is the appropriate graph for this data?

To select the appropriate graph for these data we must take into account the following aspects. The data being linked.

In accordance with the above, we want to relate data of days with distance. Therefore, the best option would be the line graph since it allows us to relate two data and in turn contrast the difference with other points.

So the correct answer would be a line graph because it would show how a variable changes over time between each individual data point (option A).

Step-by-step explanation:

Answer:

nine-twelfths

Step-by-step explanation:

The number of positive integers which are less than 1992 and  not factorial tails  are 396.

Let for some positive integer with exactly n zeros be m

Number at the end of zeros of m! be f(m)

f(m) = ( m /5 ) + ( m /25 ) + ( m /125 ) + ( m /625 ) + ....

Here 'm' is multiple of 5

So ,f(m) = f( m + 1) = f( m + 2) = f( m + 3 ) = f( m + 4 )

And f(m) ≤ ( m /5 ) + ( m /25 ) + ( m /125 ) + ( m /625 ) +...

              = m / 4.03

              = m / 4

Value of m greater than 7964 such that f(m) = 1991

f( 7975 ) = 1991

Number of distinct positive integer 7975 / 5 = 1595 less than 1992

Number of positive integers less than 1992 and they are not factorial tails  are equal to

= 1991 - 1595

= 396.

Therefore, there are 396 positive integers which are less than 1992 and  are not factorial tails.

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(x+33)(x-33)

Step-by-step explanation:

a²+b²=(a+b)(a-b) difference of two squares

x²-33²= (x+33)(x-33)

Answer: (x + 33)(x - 33)

What does factorise mean?
In maths, to factorise an expression means to put it in brackets in the max possible multiplication form. It is basically finding what to multiply to get an expression.
If you don't know what expression means: a collection of symbols such as numbers, variables and arithmetic operators that jointly express a quantity.

NOTE: There must be no equal sign in expressions. Equal sign in an expression makes it an equation.

Basic Factorization Formulas:         (for your info, " ^ " means, to the power of)

Now if you see the formulas; the very first formula seems to match with the expression. If your wondering how,
a^2 - b^2 where , "a" can be replaced by x and, "b" can be replaced by 33 As a result, x^2 - 33^2 can be written in multiplication form as (x - 33)(x + 33)

Hope it helped! If you are still not clear, please get help from a tutor or videos on factorization. Thank you.

The information that is true for triangle RST and triangle XYZ is that:

The measure of R is congruent to Y, and the measure of S is congruent to Z. If two angles in one triangle are congruent to two angles in another triangle, then the third pair of angles are also congruent. Therefore, RST and XYZ are not similar because the sides appear to be different lengths. (option A)

Similar triangles are triangles that have the same shape and angle but their sizes may vary.

angle R is congruent to angle Y and

angle T is congruent to and Y.

This means that angle S is congruent to angle Z

therefore the angle in the two triangles are thesame, thus ,they are similar.

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The answer is, On  the  interval (-3,-2) to (0,4),  is the graph increasing.

On (0,4) to (3,-2) interval is the graph decreasing.

the graph have a relative maximum at (0,4).

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

from the given graph we get,

On  the  interval (-3,-2) to (0,4),  is the graph increasing.

On (0,4) to (3,-2) interval is the graph decreasing.

the graph have a relative maximum at (0,4).

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A spherical astroid has a radius of approximately 8.5 x 10^2 m. Using  the formula 4/3 π r^3 to find the approximate volume of the asteroid, we get volume = 2.57 x 10^9 m^3.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

a spherical astroid has a radius of approximately 8.5 x 10^2 m.

we know,

the volume =  4/3 π r^3

so, by calculating, we get.

volume = 2.57 x 10^9 m^3

Hence, a spherical astroid has a radius of approximately 8.5 x 10^2 m. Using  the formula 4/3 π r^3 to find the approximate volume of the asteroid, we get volume = 2.57 x 10^9 m^3.

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It is impossible to determine how the distance traveled and time elapsed compare for Nicole and Justin based on the information provided.

The graph only shows the horizontal axis representing time elapsed and the vertical axis representing the distance traveled, but does not provide any data points or information about Nicole and Justin's specific journeys.

The information given in the statement only provides the axes of a graph but does not provide any actual data points or information about Nicole and Justin's journeys. To compare the distance traveled and time elapsed between Nicole and Justin, we would need to know the specific data points or information about their journeys, such as the starting and ending mile markers, and the corresponding time elapsed and distance traveled for each person. Without this information, it is not possible to determine how the distance traveled and time elapsed compare for Nicole and Justin.

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The given system of equations has no solution.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Given system of linear equations are,

5x + y = -2

-5x - y = -1

We solve this by Elimination method.

Adding these two equations,

0 = -3

This means that the system has no solution.

Hence the given system of equations does not have a solution.

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Step-by-step explanation:

please refer to the attached for details

The constraints for the company are -

70<x<130, 50<y<110 and 150<x + y<220

The objective function for maximizing profit is z = 65x + 45y.

What are business constraints?

Constraints can be business or technical in nature and are defined as restrictions or limitations on possible solutions.

Considering that x is the number of laptops and y is the number of tablets.

According to the information provided, there are between 70 and 130 laptops.

Additionally, there are between 50 and 110 tablets.

Specifically, 70<x<130 and 50<y<110.

Between 150 and 220 devices make up the total number of x + y.

This equals 150<x + y<220.

These are all limitations on daily production.

Since each laptop makes $65 in profit and each tablet makes $45.

As a result, the overall profit for laptops is $65x and for tablets it is $45y.

Consequently, the objective function z for calculating total profit is -

z = 65x + 45y

Maximize z = 65x + 45y to make the most profit.

Therefore, the constraints and maximum profit is obtained.

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A company makes two types of electronic devices: laptops and tablets. Its business plan says that it must produce from 70 to 130 laptops, and from 50 to 110 tablets, per day. The total number of devices it must make per day according to the plan ranges from 150 to 220. Given that x is the number of laptops made per day, and y is the number of tablets made, what are the daily constraints that the plan places on the company? The company sells all the electronic devices it makes. Its profit is $65 for every laptop sold and $45 for every tablet sold. What is the objective function for maximizing profit?

One of the congruence statement can be written as AFEB = MBJH.

Quadrilaterals are four sided polygons which also have four vertices and four angles.

Sum of all the interior angles of a quadrilateral is 360 degrees.

Given is a figure.

First we have to draw a line segment to make two quadrilaterals out of this figure.

We can join line EB and JH to form the quadrilaterals AFEB and MBJH.

These two quadrilaterals are congruent to each other as

FA = BM

FE = BJ

EB = JH

AB = MH

Hence the congruence statement can be written as AFEB = MBJH.

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The complete question is :

Figure MBJKGH is the image of figure AFEKJB after being rotated 90 degrees counterclockwise about point K.

Imagine drawing a segment in figure AFEKJB to create a quadrilateral and also the image of the segment when rotated 90 degrees counterclockwise about point K.

Write a congruence statements for the quadrilateral you created in figure AFEKJB and the image of the quadrilateral in figure MBJKGH.

The calculated value of z-score for the mean 71 and standard deviation 4.2 with person score 73 is equal to 0.4762( upto to four decimal place)

Mean of the data 'μ' = 71

Standard deviation of the data 'σ ' = 4.2

Score obtained by a person 'X' = 73

Formula for the z-score is equal to :

Z-score  = ( X - μ ) / σ

Substitute the value of mean , standard deviation , and person score to get the value of z-score we have,

⇒ Z-score  = ( 73 - 71 ) / 4.2

⇒ Z-score  =  ( 2 ) / 4.2

⇒ Z-score  = 0.47619

⇒ Z-score  =  0.4762

Therefore, the value of z-score as per the given mean and standard deviation is equal to 0.4762.

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The X-axis (horizontal axis) often represents a "class boundaries" of such an ogive, whereas the Y-axis (vertical axis) typically shows the frequency count.

A sort of frequency polygon that displays cumulative frequencies is an ogive, often known as a cumulative frequency polygon.

Thus, The X-axis (horizontal axis) often represents a class boundaries being measured of such an ogive.

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The cardinalities:

n(A) = 3

n (B) = 1.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

Let sets A and B be defined as follows.

A is the set of integers greater than or equal to -9 and less than or equal to - 3

A = {n ≥ -9 or n ≤ -3}

B = {1-29, -26, -23, 30}

B = {-28, -26, -23, 30}

The cardinalities:

n(A) = 3

n (B) = 1.

Therefore, n(A) = 3 and n (B) = 1.

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The total annual cost of the card to Sandra is $72.65

To find the total annual cost of the card to Sandra, we have to add all the money Sandra paid for the new credit card for the year. This can be calculated as follow:

Membership fee =  $15

Balance transfer fee of 5% of $823.46 = 5/100 * $823.46 = $41.17

February $3.56; May, $5.82; July, $4.92; and September $2.18

Total annual cost = $15 + $41.17 + $3.56 +  $5.82 + $4.92 + $2.18 = $72.65

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Answer:

-5

Step-by-step explanation:

2/3-5/6x8

8/6 =4/3

2/3 - 5/3*4 =2/3 - 17/3 =-15/3 =-5

Answer: It's B

Step-by-step explanation: I cheated but it's right ;-;

Answer:

A

Step-by-step explanation:

z = 1 - i

z³ = z² × z = (1 - i)²×z = (1 - 2i - 1)×(1 - i) =

= (-2i)×(1 - i) = -2i - 2

so, both parameters are -2. therefore, A is correct

The relationship between sample size and data quality is likewise straightforward; the quality of the data will increase as the sample size increases and vice versa.

It is typically impossible, or at least impractical, to collect data from all of the subjects you are interested in when conducting research on your clients, patients, or products. Instead, we take a sample (or subset) of the relevant population and try to learn as much as we can about the population from that sample.

Numerous factors can impact how well our sample represents the population, and hence, how valid and dependable our results will be. In this blog post, we discuss some of the important ideas that should be taken into account while conducting a survey, such as power, effect sizes, and confidence intervals and margins of error.

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The equation of the line representing the graph is y = - (3/2)x - 3.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

From the given information the line passes through the points

(- 2, 0) and (0, - 3).

Slope(m) = (- 3 - 0)/(0 + 2).

Slope(m) = - 3/2.

Now, - 3 = - (3/2)(0) + b.

b = - 3.

y = - (3/2)x - 3.

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Step-by-step explanation:

the correct answer is= 103

The area of the regular hexagon given in the figure is 360 inches²

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. To find a triangle's area, use the formula area = 1/2 * base * height.

Given here: A hexagon with six triangles inscribed in it with height 10 inches and base 12 inches.

We know all the triangles must be congruent as we know that all of the sides are of equal length. Therefore, all 6 of the triangles (we get from drawing lines to opposite vertexes) are congruent triangles.

Thus area of the hexagon= 6×area of a triangle

A= 6×1/2×10×12

  =360 inches²

Hence, The area of the regular hexagon given in the figure is 360 inches²

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Answer:

1 radian ≈ 57.2958