The two-way frequency table below shows data on behavior of students and the use of positive phone calls home as an incentive for behavior for a group of students at Lion's Lane Elementary School.
Complete the following two-way table of column relative frequencies.
(If necessary, round your answers to the nearest hundredth.)

The probability that a teenager has exactly 4 pairs of shoes in their closet is given as follows:

P(4) = 1/5 = 0.2 = 20%.

The parameters that are needed to calculate a probability are given as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of outcomes in this problem is given as follows:

18 + 30 + 57 + 30 + 15 = 150.

30 of the students have exactly 4 pairs, hence the probability is given as follows:

P(4) = 30/150

P(4) = 1/5 = 0.2 = 20%.

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Answer:

total pay in 4 weeks is $ 1960.00

$ 12.25 per hour

Step-by-step explanation:

5 x 165= $ 825

6 x 110= $ 660

5 x 95= $ 475

____________

           $ 1960.00 dollars divided by 160 = 12.25

1960/ 160= 12.25

1. Minimum   amount to save in a fixed term is  approximately $37,565.22.

2. Minimum monthly sales volume for the employee - approximately $66,666.67.

1. To calculate the minimum amount   that should be savedin a fixed term to receive at  least $43,200.00 in interest at the end of the year, we can set up the   following equation -  

Principal + Interest = Total Amount

Let x be the  amount saved in the fixed term.

x + 0.15x =$43,200.00

1.15x = $43,200.00

x = $43,200.00 / 1.15

x ≈ $37,565.22

2. To find the minimum   monthly sales volume   for the employee who wants to earn  a salary of 3%of sales, we can set up the following equation -  

0.03x =$ 2,000.00

x = $2,000.00 /0.03

x ≈ $66,666.67

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Full Question:

Although part of your question is missing, you might be referring to this full question:

A man from serves an inheritance of 400,000. 00 and plans to save a part of it in a fixed term, earning 15% annual interest. And another part lend it with a mortgage guarantee, earning 7% annual interest. What? Minimum amount you should save in a fixed term at the end of the year you want to receive at least $43,200. 00 in concept of interest?

A parts salesman earned last year a fixed monthly salary of $2,000. 00, plus a percentage of 1% on sales. However, this year he has decided to give up this employment contract and ask his boss for only 3% of sales as a salary. What is the minimum monthly sales volume for this employee?

The weightage is given to the most recent values in the time series.

SES is a simple forecasting technique that is easy to implement and can be used with data that has a consistent trend. However, it is not well suited for data that is highly volatile or has a lot of noise.

One of the simplest forecasting techniques is single exponential smoothing (SES). It is a weighted average of past time-series values, where the weightage is given to the most recent values in the time series. This technique is easy to implement and can be used with data that has a consistent trend. However, it is not well suited for data that is highly volatile or has a lot of noise.

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Answer:

0

Step-by-step explanation:

368×0=0

Now,

√0=0

0 is the perfect square, it is smallest number and it is your answer.

Answer:

Function 2 has the larger maximum at 1, -14

Explanation:

When you graph the equation, you can find the maximum of function 2 at 1, -14

Answer:

s = 11.4

Step-by-step explanation:

The following data were obtained from the question:

Angle S = 60°

Opposite S = s =?

Opposite U = u = 13

Opposite T = t = 5

Thus, from the data obtained from the question, we can calculate the value of s by using cosine rule as shown below:

s² = u² + t² – 2ut Cos S

s² = 13² + 5² – 2 × 13 × 5 × Cos 60

s² = 169 + 25 – 130 × 0.5

s² = 194 – 65

s² = 129

Take the square root of both side.

s = √129

s = 11.4

Therefore, the value of s is 11.4

Answer:

2 centimeters is the shortest

Answer:

A B D

Step-by-step explanation:

C might be missing something.

but even without that it might be a trick question, as

15g + 5 could be considered to have the following terms :

15g

15

g

5

so, it depends on what convention your teacher defined with you. because internationally this is not precisely defined as my hint about 15g + 5 shows.

some people consider a multiplication or division a combination of several items into one term.

some don't.

some consider a multiplication or division a term, and then the parts of that again as terms (as in my example), and some don't.

it really depends on your teacher and his/her definitions.

3 pennies lined up in a row, first in centimeters and then in inches, it will  be 5.7 cm and 2.25  inches.

For the given problem, we know that the diameter of a penny is approximately 19.05 millimeters or 0.75 inches. Therefore, the combined diameter of three pennies in a row is 3 times the diameter of one penny, which is 57.15 millimeters or 2.25 inches.

To convert these measurements into centimeters, we can use the conversion factor that 1 inch is equal to 2.54 centimeters. therefore the combined diameter of three pennies in centimeters would be: 2.25 inches × 2.54 cm/inch = 5.715 cm

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The angle taken in a clockwise direction from north to southeast is 135 degrees

When measuring angles, it is common to use a reference direction, such as north, as a starting point. In this case, we are measuring an angle in a clockwise direction from north to southeast. Southeast is located halfway between the directions of south and east, which means it is at a 45-degree angle from each of those directions.

Therefore, the angle from north to southeast is 45 degrees more than a right angle, which is 90 degrees. This gives us a total of 135 degrees. Visualizing this on a compass rose can help to understand the direction and angle more clearly.

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The given question is incomplete, the complete question is:

What is the angle taken in a clockwise direction from north to southeast ?

Answer:

25.13

Step-by-step explanation:

527.78/21=25.13 rounded

The conclusion of the symbolised argument is that N implies (O and P). This can be proven using conditional proof and the eighteen rules of inference, or using the rule of conjunctive simplification.

The symbolic argument's conclusion is that N implies (O and P). This can be demonstrated using conditional proof and the eighteen inference rules.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (3-6 Conditional Proof)

8. N ⊃ (O•P) (2,7 Disjunctive Syllogism)

This leads us to the conclusion that N implies (O and P).

Without the use of conditional proof, the identical result can be reached. The conjunctive simplification rule can be used to do this.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (Conjunctive Simplification)

Therefore, we have derived the conclusion that N implies (O and P).

Complete Question:

Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.

1. N ⊃ O

2. N ⊃ P / N ⊃ (O • P)

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we can use the law of conservation of energy. Since the two planets are released from rest, their initial kinetic energy is zero. Therefore, the speed of each planet as they crash together is approximately 5.99 × 10^3 m/s.

we can use the law of conservation of energy. Since the two planets are released from rest, their initial kinetic energy is zero. Therefore, the total initial energy is just the gravitational potential energy, given by:

\(U = -G * M^2 / r\)

where G is the gravitational constant, M is the mass of each planet (assumed to be equal), and r is the initial separation between them. We can then set the final kinetic energy to be equal to the initial potential energy (since the total energy is conserved), and solve for the final speed:

\((1/2) * M * v^2 = G * M^2 / r\)

\(v =\sqrt{(2 * G * M / r)}\)

Substituting the given values of G (6.674 × 10^-11 N m^2/kg^2), M (assuming Jupiter mass of 1.898 × 10^27 kg), and r (1.00 × 10^11 m), we get:

v = sqrt(2 * 6.674 × 10^-11 * 1.898 × 10^27 / 1.00 × 10^11) = 5.99 × 10^3 m/s

Therefore, the speed of each planet as they crash together is approximately 5.99 × 10^3 m/s.

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Answer:

Disagree

Step-by-step explanation:

y= 4x + 3

y-intercept= 3 -> correct

slope= 4          -> false, the slope on the graph is -4

The value of y can be an infinite number of answers such as 1,2,3,4,5,6,7,8,9 ......n(infinity)

Let's go with the first statement;

If y = 1

Then ; 1× 9 = 9+ 8 = 17÷ 9 = 1 remainder 8

If y = 2 2 × 9 = 18+8 = 26÷9 = 2 remainder 8

If y= 3 3×9 = 27+8 = 35÷9 = 3 remainder 8

For the second statement;

If y = 1

Then; 1×8 = 8+7 = 15/8 = 1 remainder 7

If y = 2 2×8 = 16+7 = 23/8 = 2 remainder 7

For third statement;

If y = 1

Then; 1×7 = 7+6 = 13/6 = 1 remainder 5

For fourth statement;

if y = 1

Then; 1×6 =6+5 = 11/6 = 1R5

For fifth statement;

If y = 1

Then; 1×5 = 5+4 = 9/5= 1R4

For sixth statement;

if y = 1

Then ; 1×4 = 4+3 = 7/4 = 1R3

For seventh statement;

if y = 1

Then ; 1×3= 3+2 = 5/3 = 1R2

For eight statement;

if y = 1

Then; 1×2 = 2+1 = 3/2 = 1R1

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Answer:

Step-by-step explanation:

Data set for 18 trials, time in ms

Put the numbers in ascending order

Get the index

For 40% it is

For 75% it is

During the problem disaggregation process, the logic trees should have branches that are both mutually exclusive and collectively exhaustive.

Problem disaggregation refers to the process of breaking down the larger higher-level operation into smaller plans and shorter periods. It refers to the use of analysis, logic, and facts to evaluate and understand each element of the problem in terms of causes and driver of the situation using logic trees. Logic trees improve the problem definition and aid in understanding an issue in more detail. There are different types of logic trees used in the process – factor logic tree, inductive logic tree, deductive logic tree, hypothesis tree, and decision tree. The logic trees should have branches that are MECE – mutually exclusive and collectively exhaustive. It is the second and an important step in the seven steps bulletproof problem-solving process used for complex solving.

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Answer:

22 is the number

Step-by-step explanation:

When ratio  

         88:22

Is divided with 11 it gives 8:2

Answer:

Step-by-step explanation:

Initial prediction of sales = 45 automobile

Actual amount sold = 48 automobiles

Absolute error ratio a = actual amount sold - initial prediction/initial prediction

Absolute error ratio a = 48-45/45

Absolute error ratio a = 3/45

%error = actual amount sold - initial prediction/initial prediction * 100%

% absolute error = 48-45/45 * 100

% absolute error = 3/45 * 100

% absolute error b = 6.67%

Answer:

a = Start Fraction 3 over 48 End Fraction; b = 6.25 percent

Step-by-step explanation:

Your Welcome;)

The minimum is 29 cm and it represents the sensor's minimum height above the ground.

In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):

y = Acos(Bx - C) + D

Where:

By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.

In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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The translation used to move quadrilateral WXYZ onto quadrilateral W′X′Y′Z′ is horizontal translation of 10 units towards the left.

A translation refers to a geometric transformation that moves every point of a figure, shape, or space by the same distance in a given direction. A translation moves a shape left or right and/or up or down and the translated shapes look exactly the same size as the original shape.

Horizontal translation is the to the movement of the figure, shape, or space to the left or right by a certain number of units in the direction of the x-axis. A graph is translated k units horizontally by moving each point on the graph k units horizontally. Consider a point of the quadrilateral WXYZ, say X. The coordinate of X is (7, -3). As the shape is horizontally translated onto quadrilateral W′X′Y′Z′, the coordinate of X′ is (-3, -3). Hence, the units translated = 7 – (-3) = 7 + 3 = 10. Hence, the quadrilateral is moved left by 10 units.

Note: The question is incomplete. The complete question probably is: A horizontal translation is used to move quadrilateral WXYZ onto quadrilateral W′X′Y′Z′. Describe the translation used.

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Answer:

5cm

Step-by-step explanation:

Given

Height of the pole = 4m = opposite

Angle of elevation = 58 degrees

Required

length of shadow(hypotenuse)

Using the trig identity

Sin theta = opp/hyp

Sin 58 = 4/x

x = 4/sin58

x = 4/0.8480

x = 4.71cm

x ≈ 5cm

Hence the length of the shadow is 5cm to the nearest cm

Answer:

  you have to read at least 5 books per month (on average)

Step-by-step explanation:

The given inequality is incorrect. "At least 75" means "greater than or equal to 75", so the inequality should be ...

  15x ≥ 75

  x ≥ 5 . . . . . . divide by 15

You have to read at least 5 books per month.

Answer: 76.3°

Step-by-step explanation:

Opposite angles are equal, or you can say, vertically opposite angles are equal.

Answer:

A) Vertical angles are congruent

B) 40 and b are vertical angles and c and a are vertical angles.

C) <a = 40

<b = 140

<c = 140

Step-by-step explanation:

A straight angle is a straight line.  It is 180°