if you were to construct a pareto chart (using the rule suggested in the book), how would the second bar in the graph be labeled?

Answer:

13/40

Step-by-step explanation:

Total No of pupils = 40

No of pupils who play the flute = 15

No of pupils who play the Piano = 7

No of pupils who play both = 5

Total No of pupils who can play the atleast one instrument = 15+5+7= 27

No one pupils who play neither instrument = 40 - 27 = 13

Probability of a pupil being chosen at random who plays neither instrument = No of Pupils who play neither instrument/ Total No of pupils = 13/40

Therefore the answer will be 13/40

Answer:

Fraction: 47/15

Mixed number: 3 2/15

Step-by-step explanation:

Hope it helps! =D

A percentage is a ratio, or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

If we know that percentages are parts of 100, we can simply set the denominator as 100, and keep the numerator the same.

Converting this into a mixed number will look like this:

Therefore, the percentage 940% written as a mixed number is [tex]9\frac{4}{10}[/tex].

Answer:

 [tex]\frac{-1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{-3/4}{6}=\frac{-0.75}{6}[/tex]

[tex]\frac{6}{-0.75}=-8[/tex]

[tex]\frac{-0.75}{6}=\frac{-1}{8}[/tex]

The system of equations will be:-

6y=4x-18

9y=6x-27

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

For a system to have an infinite number of solutions, the slopes and y-intercepts of the slope must be the same.

We have that one of the equations of the system is 3y = 2x – 9.

We generate another equation that has the same slope and y-intercept by just multiplying through by a non-zero constant.

Let us multiply by 2.

2(3y = 2x – 9)---->6y=4x-18

Or multiply through by 4 to get:

3(3y = 2x – 9)----->9y=6x-27

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Answer:

3x×5x=15x² so what's the second way

The percentage of American women with shoe sizes between 3.48 and 12.6 is somewhere between 68% and 95%.

The empirical rule states that for a normal distribution, about 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.

In this case, we want to find the percentage of American women with shoe sizes between 3.48 and 12.6. To use the empirical rule, we need to convert these values to standard deviations away from the mean. We can do this by subtracting the mean and dividing by the standard deviation:

3.48 - 8.04 = -4.56

-4.56 / 1.52 = -3.00

12.6 - 8.04 = 4.56

4.56 / 1.52 = 2.99

So we want to find the percentage of American women with shoe sizes that are between -3 standard deviations and +2.99 standard deviations from the mean.

According to the empirical rule, about 68% of the data falls within one standard deviation of the mean, so we can estimate that about 68% of the data falls within -1 and +1 standard deviations from the mean. The percentage between -2 and +2 standard deviations from the mean would be about 95%, and between -3 and +3 standard deviations from the mean would be about 99.7%.

Since our range of shoe sizes is partially contained within each of these ranges, we can estimate that the percentage of American women with shoe sizes between 3.48 and 12.6 is somewhere between 68% and 95%.

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Answer:

Step-by-step explanation:

24x - 5 - 3 can be simplified by combining the constants (-5 and -3) into a single constant (-8):

24x - 5 - 3 = 24x - 8

Therefore, the simplified expression is 24x - 8.

Answer: 24x - 2

Step-by-step explanation:

You can't subtract the Coefficient and the Natural Number, so you can only do 24x - (5 - 3)

Which will end up as 24x - 2.

As per unitary method Lower Yosemite Falls is 292.5 feet tall.

The unitary method is a mathematical problem-solving technique that involves using known information to find unknown information.

Let x be the height of the Middle Cascades Falls. The height of the Lower Yosemite Falls is 355 feet shorter than x, so the equation is:

Lower Yosemite Falls = x - 355

The height of the Upper Yosemite Falls is 80 feet more than twice the height of the Middle Cascades Falls, so the equation is:

Upper Yosemite Falls = 2x + 80

The total height of all three falls is 2425 feet, so we can add the heights of each fall to find the equation:

Lower Yosemite Falls + Middle Cascades Falls + Upper Yosemite Falls = 2425

Substituting in our previous equations:

x - 355 + x + 2x + 80 = 2425

Simplifying:

4x = 2425 + 355 - 80

4x = 2590

Dividing both sides by 4:

x = 647.5

So, the height of the Middle Cascades Falls is 647.5 feet. To find the height of the Lower Yosemite Falls, we substitute x back into the first equation:

Lower Yosemite Falls = x - 355

Lower Yosemite Falls = 647.5 - 355

Lower Yosemite Falls = 292.5 feet

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If each container held 8 ounces of salad, then Larry purchased a total of number of 96 ounces of pasta salad.

1. First, determine the number of containers of pasta salad purchased. In this case, it is 12 number of containers.

2. Next, determine the amount of salad contained in each container. In this case, each container holds 8 ounces of salad.

3. Finally, multiply the number of containers purchased (12) by the amount of salad contained in each container (8 ounces). This gives us a total of 96 ounces of pasta salad purchased.

the complete question is :

Larry bought 12 containers of pasta salad for a school picnic. Each container held the same number of ounces of salad. If the total weight of the 12 containers was 6 pounds, how many ounces of pasta salad did each container hold?

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Answer:

Jim gets 16 Tim get 40

Step-by-step explanation:

An equation in standard form of a line that has a slope of 4 and passes through the point (-4, -4) is y = 4x + 12.

In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

At data point (-4, -4), a linear equation in standard form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-4) = 4(x - (-4))

y + 4 = 4(x + 4)

y + 4 = 4x + 16

y = 4x + 16 - 4

y = 4x + 12

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Answer:

Hi, I'm Za'Riah! I will gladly assist you with your problem. (see explanation)

Step-by-step explanation:

Joe can have four tacos for the cost of one burrito.

The cost of 4 burritos is 64%, which means the cost of 1 burrito is 16%.

The cost of 9 tacos is 36%, which means the cost of 1 taco is 4%.

1 taco Is 4%, 1 burrito = 16%

4 times 4 equals 16

Joe can get four tacos for the price of one burrito.

(Hope this helps!)

(Consider marking as the brainliest, so I can get to the next rank please :)

Answer:

The area of a parallelogram is given by the formula A = base x height. In this case, the base has a length of x meters, and the height is x - 1 meters. So we can write:

A = x(x - 1)

We are told that the area is 306 square meters, so we can set up an equation:

x(x - 1) = 306

Expanding the left side gives:

x^2 - x = 306

Bringing all the terms to one side gives a quadratic equation:

x^2 - x - 306 = 0

We can solve for x using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

Here, a = 1, b = -1, and c = -306, so:

x = (1 ± sqrt(1 - 4(1)(-306))) / 2(1)

x = (1 ± sqrt(1 + 1224)) / 2

x = (1 ± sqrt(1225)) / 2

x = (1 ± 35) / 2

So x is either (1 + 35) / 2 = 18 or (1 - 35) / 2 = -17/2. Since x represents a length, it cannot be negative, so the value of x is 18 meters.

Therefore, the answer is x = 18.

A frequency table would be useful for representing the age of students, majors, gender, and state of residence in a business statistics course.

A frequency table is a tabular representation of data that shows how often each value of a variable occurs. For example, a frequency table for the age of students in a business statistics course would list the different age groups and the number of students in each group. Similarly, a frequency table for the majors of students would list the different majors and the number of students in each major. A frequency table for gender and state of residence would also list the different categories (e.g. male/female or different states) and the number of students in each category.

In general, a frequency table is useful for representing categorical data, such as gender, majors, or state of residence, as well as numerical data, such as age, when the data is discrete or has a limited number of possible values.

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The largest domain of f(x)=x²+1 is ∝

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

f(x)=x²+1

The above expression is a quadratic function

The domain of a quadratic function is the set of all real values

This means that the input value can be as large as possible

So, the largest domain is ∝ (infinity)

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Answer:

3,115

Step-by-step explanation:

900 + 275 + 490 + 1450 = 3,115

The angle measures of each vertex of the garden are 53.13 degrees.

In Parallelogram ABCD, diagonals AC and BD intersect at point A = √7.

Angle is a geometric figure that can be described as the amount of rotation between two straight line or planes and angle is measured in degree with a full circle being 360°.

1. To determine the angle measures of each vertex of the garden, we must first calculate the angles formed by each side. For example, the angle formed by sides AB and BC can be found by using the inverse tangent function. The equation would be

arctan(BC/AB) = arctan (4/3) = 53.13 degrees.

The angles for the other sides can be calculated in the same way. We can then use the sum of angles theorem to calculate the angles at each vertex. Since the garden is an irregular shape, the angles at each vertex will be different.

2. In Parallelogram ABCD, diagonals AC and BD intersect at point A. To calculate , we can use the distance formula.

The equation would be = √((x2 – x1)2 + (y2 – y1)2).

For the coordinates given, we would have

= √((2 – 5)2 + (5 – 1)2)

= √(-9 + 16)

= √7.

Answer 3: To determine whether quadrilateral ABCD is a rectangle, rhombus, or square, we must first calculate the slope.

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The volume of the cone is 60 ft³ when the base area is 12 ft² and the height is 6 ft.

Let the constant of variation be k. We know that the volume of a cone is given by the formula:

V = (1/3)πr²h

where r is the radius of the base and h is the height. Since the base area is given by πr², we can write:

V = (1/3)Bh

where B is the base area. From the given information, we know that:

12.5 = (1/3) * 15 * (2(1)/(2))

Solving for k, we get:

k = 12.5 / (15 * (2(1)/(2))) = (12.5 * 2) / 15 = 5/3

Now that we have found the variation constant, we can use it to find the volume when the base area is 12ft² and the height is 6ft:

V = (5/3) * 12 * 6 = 60 ft³

So the volume of the cone is 60 ft³ when the base area is 12 ft² and the height is 6 ft.

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The triangles are not similar.

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles congruent to each other.

Therefore, for the triangles above to be similar the angles will be congruent and the sides will be a ratio of each other.

Therefore, the similarities statement for the two triangle can be represented as follows:

The triangles are not similar because the sides are not a ratio of each other.

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Answer:

See below

Step-by-step explanation:

What is margin of error?

Since it is impossible to predict results of a statistical survey on a sample population  with 100% accuracy, scientists often include an error in estimation along with the calculated proportion

This margin of error tells you how many percentage points your results will differ from the real population value

The mean of the scores is given as follows:

88.3.

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

Considering the absolute frequencies in the table, the sum of all the observations is given as follows:

1 x 75 + 9 x 80 + 3 x 85 + 2 x 90 + 2 x 95 + 7 x 100 = 2120.

The number of students is given as follows:

1 + 9 + 3 + 2 + 2 + 7 = 24.

Hence the mean is obtained as follows:

2120/24 = 88.3.

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a) The new production rate is 1008 items per week.

b) The new unit cost is $63.

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

a) The new production rate can be calculated by increasing the old production rate of 900 items per week by 12%.

New production rate = 900 items/week + 12% of 900 items/week

New production rate = 900 items/week + (12/100) x 900 items/week

New production rate = 900 items/week + 108 items/week

New production rate = 1008 items/week

So, the new production rate is 1008 items per week.

b) The new unit cost can be calculated by reducing the old unit cost of $75 by 16%.

New unit cost = $75 - 16% of $75

New unit cost = $75 - (16/100) x $75

New unit cost = $75 - $12

New unit cost = $63

So, the new unit cost is $63.

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The question seems incomplete, the missing part has been below:

A factory produces 900 items per week at a unit cost of $75 new equipment is installed that increases productivity by 12% and reduces the unit cost by 16%.

a) What is the new production rate?

b) What is the new unit cost?

Answer:

54,736

Step-by-step explanation:

22+44+556=622 × 88

Answer:

7.068....................

The area of the shaded region will be 3 square units.

One of the earliest areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

Given that the total area of triangle XYZ is 8 square units. A and B are the midpoints of the sides XY and XZ.

Consider the half triangle XYC. The area will be half of the total triangle.

Area of  XYC = 4

( 1 / 2) x b x h = 4

b x h = 8

From the similarity property:-

h' / h = b' / b = 1 / 2

h' = h / 2 and b' = b / 2

Area of the triangle AXO:-

Area = 1 / 2 x h' x b '

Area = 1 / 2 x h / 2 x b / 2

Area = ( b x h ) / 8

Area = 8 / 8 = 1 square units

Area of shaded region =  Area of  XYC - Area of the triangle AXO

Area of shaded region =  4 - 1

Area of shaded region = 3 square units

Therefore, the area of the shaded region will be 3 square units.

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Answer:

brainliest plss

Step-by-step explanation:

The Least Common Multiple (LCM) of 60 and 72 is 360

Answer: az-bz+3b²-6ab+3a²

Step-by-step explanation: math whay

By applying the relative frequency concept, we make this table to represent the relative frequency of the problem:

                                Lunch order

                  Sandwich      Pasta      Total

Volleyball        27%            21%        49%

Swimming       37%            14%         51%

Total                64%            36%       100%

Relative frequency is a percentage number that states the amount of data in a certain group.

Relative frequency is given by the number of desired outcomes, also called frequency, divided by the number of total outcomes.

We already have the following information:

                                        Lunch order

                        Sandwich       Pasta         Total

Volleyball              19                15               34

Swimming             26               10               36

Total                      45               25              70

Now we want to find the relative frequency and put it into the following table:

                                                            Lunch order

                            Sandwich                      Pasta                        Total

Volleyball     19/70*100% = 27%     15/70*100% = 21%    34/70*100% = 49%

Swimming    26/70*100% = 37%    10/70*100% = 14%    36/70*100% = 51%

Total             45/70*100% = 64%    25/70*100% = 36%  70/70*100% = 100%

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Answer:

I don't know the answer.

Step-by-step explanation:

Sorry. ;(