round 6.07 x 3.29 to the nearset whole.number

In the given following data gives the number of children in 50 families.

The discrete frequency table is

As number of children  is 0  the frequency is 6

As number of children  is 1  the frequency is 13

As number of children  is 2  the frequency is 14

As number of children  is 3  the frequency is 7

As number of children  is 4  the frequency is 6

As number of children  is 5  the frequency is 2

As number of children  is 6  the frequency is 2

What is frequency ?

frequency states that the number of times the certain value got repeated is called as frequency.

No. of children      Frequency

0                               6

1                                13

2                               14

3                                7

4                                6

5                                2

6                                2

Hence , it is the required discrete frequency table.

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Using a system of equations, the unit cost of a charcoal pencil is $3.16.

A system of equations involves two or more equations, also known as simultaneous equations, which are solved concurrently or simultaneously.

The cost of one charcoal pencil is the quotient of the total cost of a charcoal pencil divided by the number.

In this situation, after eliminating brushes, we can determine that the total cost of 5.5 charcoal pencils is $17.39.  After the division operation, the unit cost is computed to be $3.16.

                               Allison     Aubrey

Charcoal pencils       3               2

Brushes                     2               5

Total costs          $17.18          $26.56

Let charcoal pencils = c and brushes = b

3c + 2b = 17.18 ... Equation 1

2c + 5b = 25.56 ... Equation 2

Multiply Equation 1 by 2.5:

7.5c + 5b = 42.95 ... Equation 3

Subtract Equation 2 from Equation 3:

7.5c + 5b = 42.95

-

2c + 5b = 25.56

= 5.5c = 17.39

c = 3.16

Thus, after solving the simultaneous equations, we can determine that the cost of one charcoal pencil is $3.16.

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Answer:

A.2

Step-by-step explanation:

because 7.21 is twice the number 3.605

The translation is done to the right 5 units and up two units.

Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.

Given that vertices of ΔABC are A(2, 1), B(4, 4) and C(4, 1).

And vertices of ΔDEF are D(7, 3), E(9, 6) and F(9, 3).

Translation towards left or right changes the x coordinate and translation towards up or down changes the y coordinate.

Translation toward right and up results in positive translation and towards left and down results in negative translation.

A(2, 1) becomes D(7, 3) when D(2 + 5, 1 + 2).

Similarly,

B(4, 4) becomes E(9, 6) when E(4 + 5, 4 + 2)

C(4, 1) becomes F(9, 3) when F(4 + 5, 1 + 2)

So the translation is 5 units right and 2 units up.

Hence the translation is 5 units right and 2 units up.

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Answer:

25 bags

Step-by-step explanation:

850 divided by 34 is 25

Answer:25

Step-by-step explanation:

Answer:

B) 25%

Step-by-step explanation:

Hay un sitio llamado Calculador de descuentos que es de donde obtuve mi respuesta.

(There is a site called Discount Calculator which is where I got my answer from.)

The y-intercept of the graph is (0, 10)

This is the point where the graph crosses the y-axis

So, the y-intercept is (0, 10)

To do this, we check the values of x in relation to the values of y

From the graph, we can see that the values of y reduces as the values of x increases to 20

This means that the end behaviour is

As x ⇒ +20, y ⇒ 0 and As x ⇒ -∝, y ⇒ +∝

To do this, we again check the values of x in relation to the values of y

From the graph, we can see that the values of y when x = 0 is 10 and also, we have x = -50 and y = 15

So, the possible values are (0, 10) and (-50, 15)

Here, we make use of the end behaviours

So, we have

The function has no maximum, but it has a minimum at (20, 0)

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The next three numbers of the repeating decimal produced by the fraction 5/6 is 0.833333333...

After a decimal point, recurring decimal numbers are ones that consistently repeat the same value. They are also known as Repeating Decimals. Non-recurring numbers in mathematics are those whose values don't repeat themselves after a decimal point. Non-terminating decimals and non-Repeating Decimal Numbers are other names for them.

When 5 is divided by 6 we get a recurring number.

Hence, the next three numbers of the repeating decimal produced by the fraction 5/6 is 0.833333333...

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Answer:

see below

Step-by-step explanation:

2 (2x - 3) < 4x - 6

distribute

4x - 6 < 4x - 6

add 6

4x < 4x

divide by 4

x<x

maybe i did this wrong but this is what i got.

The provided statement states that the equation's slope intercept form is y = -2x + 1.

A line's slope is the measure to the amount y increases when x increases by a specific amount. The a line's slope describes its steepness or the rate at which y climbs as x rises. The slope is consistent wherever along the line (the same).

The following is a representation of the slope intersect form equation:

y = mx + b

where

m = slope

b = y-intercept

Consequently, using the known locations,

(3, -5)(-2, 5)

m = 5 - (-5) / -2 - 3 = 10 / - 5 = -2

Consequently, let's use b to find (3, -5)

y  = -2x + b

-5 = -2(3) + b

-5 = -6 + b

b = -5 + 6

b = 1

y = -2x + 1

The following is how we can employ the equation to work out whether x = 1 and x = 2:

x = 1

y = -2(1) + 1 = -1

x = 2

y = -2(2) + 1 = -3

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The complete question is-

Complete the slope-intercept form of the linear equation that represents the relationship in the table.

The relationship between the slopes of the parallel sides is equal.

The relationship between the lengths of the non-parallel sides is equal.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The parallel sides are DG and EF.

The non-parallel sides are DE and GF.

The slope of DG.

Two points pass through by DG.

(-2, 2) and (1, 2)

Slope = (2 - 2) / (1 + 2) = 0/3 = 0

The slope of EF.

Two points pass through by EF.

(-4, -3) and (3, -3)

Slope = (-3 + 3) / (3 + 4) = 0 / 7 = 0

The length of DE.

D = (-2, 2)

E = (-4, -3)

Length of DE = √(-4 + 2)² + (-3 - 2)² = √(4 + 25) = √29

The length of GF.

G = (1, 2)

F = (3, -3)

Length of GF = √(3 - 1)² + (-3 - 2)² = √(4 + 25) = √29

Thus,

The slope of the parallel sides is equal.

The length of the non-parallel sides is equal.

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The required area of each stained glass section is 1060.71 square centimeters.

Area of a semicircle.

A semicircle is a part of a circle, gotten from the division of a circle into two equal halves. So that halve of a circle is a semicircle. The area of a semicircle can be determined as;

Area of a semicircle = 1/2 [tex]\pi[/tex] r^2

where r is the radius of the circle.

In the given question, we have;

diameter of the church's window = 90 cm

So that its radius is;

r = 90/ 2

 = 45

r = 45 cm

Area of the church's window = 1/2 [tex]\pi[/tex] r^2

                      = 1/2 * 22/7 * 45^2

                      = 3182.143

Area of the church's window is 3182.143 square centimeters

Thus, since the semicircle would be divided into three equal parts;

Area of each stained glass section = 3182.143/ 3

                           = 1060.71 square centimeters

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Answer:

Group 1 polygons have sides that are the same length. But group 2 polygons do not.

Answer:

Step-by-step explanation:

help me

The positive number that Joe thought of is n = 7.

Joe thinks of a positive number, n.

He squares n so it becomes n².

He adds it to -24 so the expression is n² - 24.

The result is 25:

n² - 24 = 25.

To find the value of n, we can solve the equation:

n² - 24 = 25.

Adding 24 to both sides:

n²= 49.

Taking the square root of both sides:

n = √49.

n = 7.

Therefore, the positive number that Joe thought of is n = 7.

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Answer:

y = -x - 10

Step-by-step explanation:

set y as the total money owed

set x as how many days passed

if 0 days are passed, they owed $10, which is "-10" the y-intercept

and owed $1 more everyday which is -1x. We can write it as -x.

A statement which best describes the accuracy of her congruency statement include the following: B: Accurate. A reflection preserves the direction the vertices trace around the figure. A rotation changes that direction.

In Geometry, a reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

Generally speaking, reflections and dilations are types of transformation that preserve angle measure. Additionally, reflection can be used to preserve the direction the vertices (coordinates) that are traced around a geometric figure.

On the other hand (conversely), rotation is a type of transformation that changes the direction of a geometric figure. Therefore, rotating this reflected figure 180 degree about the origin (0, 0) would change the direction of its points.

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Answer:

B

Step-by-step explanation:

The amount spends on rent is $750.

In order to show mathematical issues, the "pie chart," often referred to as a "circle chart," divides the circular statistical visual into sectors or portions. A proportionate amount of the entire is indicated by each sector. The Pie-chart is now the most effective method for determining the composition of something. Pie charts typically take the role of other graphs, such as bar graphs, line plots, histograms, etc.

Given a pie chart shows,

spent on food = 20% of salary = 1/5 of salary

spent on utilities = 3/10 of salary

and rest on rent let be x

salary  = $1500

so 1500 = spent on food + spent on utilities + spent on rent

1/5 of 1500 + 3/10 of 1500 + x = 1500

1/5 of 1500 = $300

3/10 of 1500 = $450

300 + 450 + x = 1500

x = $750

Hence the amount spent on rent is $750.

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The missing term in question is 20% spent on food.

Answer: your welcome (:

Step-by-step explanation:

There are

45

total shirts and visors needed, for the 43 players and 2 coaches. So divide each of the total costs by

45

, to see how much each individual person pays:

SHIRT:

658.35

45

=

$

14.63

per person

VISOR:

368.51

45

=

$

8.19

per person

Each person is buying a shirt and a visor, so combine these two prices:

14.63

+

8.19

=

$

22.82

per person.

The measure of angle Y for the given condition is 50°

Complementary angles are those whose combined angle is 90 degrees or less. To put it another way, two angles are said to be complimentary if they combine to make a right angle. In this case, we say that the two angles work well together.

Given  ∠S and ∠Y are complementary,

∠S + ∠Y = 90°

and given expression

∠S = 4∠Y - 160

and ∠S = 90 - ∠Y

90 - ∠Y = 4∠Y - 160

4∠Y + ∠Y = 90 + 160

5∠Y = 250

∠Y = 250/5

∠Y = 50°

Hence the value of ∠Y is 50°.

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Two angles and a side of a triangle are equal in these two triangles thus these triangles are congruent.

Angles in a right triangle are easily calculated. A right triangle has a right angle, often known as a 90 angle. The angle sum formula, which asserts that the sum of the angles in a triangle is always equal to 180 degrees, can be used to quickly determine the missing angle given one other angle of the triangle is known.

Given, two triangles in the figure. Where we can see that one side of that triangle is the same that is 4. and one angle is 90 degrees in both triangles and one angle is the same as shown in the figure.

Thus we can say that one side and two angles of the given triangle are equal.

Since Triangles are said to be congruent if two of one triangle's angles and one of its sides are equal to those of another triangle. This indicates that we are given a triangle's two given angles as well as one side that is not the side next to the two supplied angles. Such a triangle can be resolved by utilizing the Law of Sines to determine each of the other two sides and the Angles of a Triangle to determine the other angle.

Therefore, These two triangles are congruent because they have two equal angles and one equal side.

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The estimated solution of the system y=3x-6 and y=(2/5)x+5 is (4, 7)

An equation is used to show the relationship between numbers and variables.

The standard form of a linear equation graph is:

y = mx + b

Where m is the slope of the line and b is the y intercept.

Given the linear equation:

y = 3x - 6   (1)

y = (2/5)x + 5     (2)

Subtracting equation 2 from 1 to solve using elimination method gives:

0 = 2.6x - 11

x = 55/13 ≅ 4

put  x = 55/13 in eqn 2:

y = (2/5)(55/13) + 5

y = 87/13 ≅ 7  

The solution is (4, 7)

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The solution of the two simultaneous equations given in the graph is; (-6, -3)

We are given the simultaneous equations as;

y = ³/₂x + 6   ------(1)

y = -¹/₂ - 6    -----(2)

Now, the solution of this 2 simultaneous equations would be the coordinate of the point on the graph where the two graphs meet each other.

Let us first solve the equations by elimination method;

Subtract eq 2 from eq 1 to get;

0 = 2x + 12

Subtract 12 from both sides to get;

2x = -12

x = -12/2

x = -6

Put -6 for x in eq 1 to get;

y = ³/₂(-6) + 6

y = -3

The solution is (-6, -3)

Looking at the intersection point on the graph, we can tell that the point is (-6, -3)

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Based on the table and average minute per square foot, it would take B. 80 minutes for the home cleaning service to clean 200 square feet.

The average is the mean, which is the constant rate of change.

The average is computed as the quotient of a numerator divided by a denominator.

Square Feet and Cleaning Time

Number of Square Feet,  x          50   80   100   150

Time in Minutes, y                        20   32    40     60

Average square feet per minute = 2.5 ft² (150/60)

Average time per square foot = 0.4 (60/150)

The total time to clean 200 square feet = 80 minutes (200 x 0.4)

Thus, using the average minute per square foot, the total time to clean 200 square feet of space will be 80 minutes.

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Answer:

Step-by-step explanation:

3+3 = 6

6 + 3= 9

9+3= 12

is the right way to solve this question it is supposed to be a sequence.

The probability that T4 wins is 781.

There are two scenarios in which T4 wins.

The first scenario is where T4 beats T1,73 beats T2, and T4 beats T3, and the second scenario is where T4 beats T1, T2 beats T3, and T4 beats T2.

Considering the first scenario:

The probability of T4 beating t1 is 4/(4+1).

The probability T3 beats T2 is 3/(3+2).

The probability T4 beats T3 is 4/(4+3).

Therefore the first scenario happens with probability 4/(4+1)*3/(3+2)* 4/(4+3)

Considering the second scenario:

The probability of T4 beating t1 is 4/(1+4).

The probability T2 beats T3 is 2/(2+3).

The probability T4 beats T2 is 4/(4+2).

Therefore the second scenario happens with probability 4/(1+4)*2/(2+3)* 4/(4+2)

By summing these two probabilities, the probability that T4 wins is 4/(4+1)*3/(3+2)* 4/(4+3) + 4/(1+4)*2/(2+3)* 4/(4+2) which is equal to 256+525 = 781.

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According to the given sample space the probability that T4 wins is 403/105

Here we have given that there are two scenarios in which T4 wins.

And the first scenario is represents that T4 beats T1, T3 beats T2, and T4 beats T3, then the second scenario is where T4 beats T1, T2 beats T3, and T4 beats T2.

While we considering the first scenario, then we have identified that

T4 beating T1 = 4/5

T3 beats T2 = 3/5.

T4 beats T3 = 4/7.

Then the Probability of first scenario is written as,

=> 4/5 + 3/5 + 4/7

=> 7/5 + 4/7

=> 69/35

Now, we have to take the second scenario, then the probability is written as

T4 beating t1 = 4/5.

T2 beats T3 = 2/5.

T4 beats T2 = 4/6.

Then the probability of the second scenario is calculated as,

=> 4/5 + 2/5 + 4/6

=> 6/5 + 4/6

=> 56/30

When we summing these two probabilities, then the probability that T4 wins is calculated as,

=> 69/35 + 56/30

=> 403/105

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Therefore , the solution of the given problem of speed comes out to be average speed of the aeroplane = 200 km/h.

An object's velocity, as opposed to its speed, describes how quickly it goes in both directions. Velocity in physics is the rate of movement in a specific direction. A car's speed is described when we say it goes at 60 km/h.

Here,

Speed of the aeroplane for 400 km = = (400/2) = 200 km/h (due north)

Speed of the aeroplane = 300 km/h (due east)

Speed is a scalar quantity. So no direction is needed. Just for question, direction is given here, for understanding purpose.

Average speed of the aeroplane = (200 + 300)/2

= 250 km/h

Therefore , the solution of the given problem of speed comes out to be average speed of the aeroplane = 200 km/h.

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Answer:

2000km

Step-by-step explanation:

To find the distance between the two planes at 2:30 pm, we need to determine the positions of each plane at that time.

Since the first plane traveled due south at an average speed of 400 km/h for 4 hours (from 10:30 am to 2:30 pm), it would have covered a distance of 400 km/h * 4 h = 1600 km due south.

Similarly, the second plane traveled due east at an average speed of 300 km/h for 4 hours, covering a distance of 300 km/h * 4 h = 1200 km due east.

To find the distance between the two planes, we can use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In this case, the distance between the two planes represents the hypotenuse of a right triangle, with the southward distance traveled by the first plane as one side and the eastward distance traveled by the second plane as the other side.

Using the Pythagorean theorem:

Distance^2 = (1600 km)^2 + (1200 km)^2

Distance^2 = 2,560,000 km^2 + 1,440,000 km^2

Distance^2 = 4,000,000 km^2

Taking the square root of both sides to find the distance:

Distance = √4,000,000 km^2

Distance ≈ 2000 km

Therefore, the two planes are approximately 2000 km apart at 2:30 pm.

The number of millimeters in each glass is 200ml.

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. in this case, it is vital to note that they have at least two terms which have to be related by through an operator.

It is important to note that some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

Since Cheetan brought a 2L bottle of milk and used 400 ml from it with the remaining amount of milk he could complely fill 8 glases of the same size and shape. The amount in each will be:

= (2l - 400ml )/8

= (2000 - 400) / 8

= 1600 / 8

= 200ml

Therefore, based on the calculation, there'll be 200 millimeters on each glass.

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Complete question

cheetan brought a 2L bottle of milk and used 400 ml from it with the remaining amount of milk he could complely fill 8 glases of the same size and shape. How many ml will each contain?

The answer to this equation using the rule of three is 68.

Let the time taken by the first team to finish the building be T. Since the teams are identical, the time taken by the second team to finish the building would also be T.

After 8 workers move from the second team to the first team, the first team has 16 + 8 = 24 workers and the second team has 25 - 8 = 17 workers.

Let the time taken by the first team after the worker change be T1 and the time taken by the second team after the worker change be T2.

Since both teams finish the construction at the same time, we can say that T1 = T2.

By the rule of three, we know that T/16 = T1/24 and T/25 = T2/17.

Cross multiplying and equating we get, 16T = 24T1 and 25T = 17T2.

So T1 = (24/16)T = 3/2T and T2 = (25/17)T.

The ratio of the time spent working by the teams after the worker change to the time spent working by the original teams is (3/2T + (25/17)T) / T = (3/2 + 25/17) = (317 + 252)/(2*17) = 51/17.

Therefore, p + q = 51 + 17 = 68.

The rule of three is a method used to solve problems involving proportionality. It involves expressing the proportion between two values in terms of a third value. It is a mathematical rule used to find the fourth value when three of the values are known. It's also known as proportionality rule, cross-multiplication rule, and inverse proportionality. The rule of three is a simple way to find the value of an unknown quantity in a proportion. The rule of three is used when three of the four values are known and the fourth is unknown.

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This order illustrates the importance of the Open-Science principle of "getting the whole story" by encouraging researchers to publish all their findings, even if the results are negative. By not publishing their findings, Lester and Laurent’s data was unavailable for replication and has not contributed to the ongoing conversation about the effects of power on considerate behavior.

a. Drawing conclusions about causation from these studies cannot be justified since they are correlational studies, not experiments.

b. In the original study, the proportion of Ego responses for the High Power group was .68 and for the Low Power group was .32. The difference in proportions is .36 and the 95% CI is [.26, .46]. This suggests that High Power is significantly associated with an increased likelihood of ego-centric responses.

c. In the replication study, the proportion of Ego responses for the High Power group was .54 and for the Low Power group was .48. The difference in proportions is .06 and the 95% CI is [-.12, .23]. This suggests that High Power is not significantly associated with an increased likelihood of ego-centric responses.

d. The overall proportion of Ego responding for the High Power group was .61 and for the Low Power group was .40. The difference in proportions is .21 and the 95% CI is [.11, .31]. This suggests that High Power is significantly associated with an increased likelihood of ego-centric responses.

e. This case illustrates the importance of the Open-Science principle of "getting the whole story" by encouraging researchers to publish all their findings, even if the results are negative. By not publishing their findings, Lester and Laurent’s data was unavailable for replication and has not contributed to the ongoing conversation about the effects of power on considerate behavior.

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The number of bottles of soda be 8 and the the number of bottles of juice be 10 when Piper to the grocery shop and purchased Coke and juice bottles.

Given that,

Piper to the grocery shop and purchased Coke and juice bottles. Each soda bottle contains 50 grams of sugar, whereas each juice bottle contains 40 grams.

Piper bought 2 more bottles of juice than soda, and they all have 800 grams of sugar in total.

We have to determine out how many bottles of juice and soda were bought, y, and x, respectively.

We know that,

Let the number of bottles of soda be x.

And the the number of bottles of juice be y.

So,

We get the system of equation as

y = x+2 ----------->equation(1)

50x+ 40y=800 ------------->equation(2)

Substitute y =  x+2 in equation(2)

50x+ 40(x+2) =800

50x+40x+80 =800

90x= 800-80

90x =720

x=720/90

x=8

Now substitute x=8 in equation(1)

y= x+2

y=8+2

y= 10

Therefore, The number of bottles of soda be 8 and the the number of bottles of juice be 10 when Piper to the grocery shop and purchased Coke and juice bottles.

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