Derrick Rolls a die many times and Records the number of times he rolls a three arrange the following situations in order from the situation that gets the largest difference between relative frequency and actual probability to the situation that gives the smallest difference

Answers

Answer 1

The order from the situation with the largest difference between relative frequency and actual probability to the situation with the smallest difference would be:

Situation 1: Derrick rolls the die 10 times.

Situation 2: Derrick rolls the die 100 times.

Situation 3: Derrick rolls the die 1,000 times.

Situation 4: Derrick rolls the die 10,000 times.

Situation 5: Derrick rolls the die 1,000,000 times.

To determine the order of situations from the largest difference between relative frequency and actual probability to the smallest difference, we need to consider the concept of relative frequency and actual probability.

Relative frequency refers to the observed proportion of an event occurring in an experiment or trial, while actual probability represents the theoretical or expected probability of that event occurring.

Situation 1: Derrick rolls the die 10 times.

In this situation, the relative frequency of rolling a three can vary, but with a limited number of trials, the relative frequency might not accurately reflect the actual probability. Therefore, the difference between relative frequency and actual probability is likely to be larger compared to situations with more trials.

Situation 2: Derrick rolls the die 100 times.

With a larger number of trials, the relative frequency is expected to converge towards the actual probability. The difference between relative frequency and actual probability would likely be smaller compared to the previous situation.

Situation 3: Derrick rolls the die 1,000 times.

Increasing the number of trials further enhances the convergence of relative frequency to the actual probability. The difference between relative frequency and actual probability would be smaller than in the previous two situations.

Situation 4: Derrick rolls the die 10,000 times.

With an even larger number of trials, the relative frequency becomes more reliable and closely approximates the actual probability. The difference between relative frequency and actual probability would be smaller compared to the previous situations.

Situation 5: Derrick rolls the die 1,000,000 times.

In this situation, the large number of trials greatly increases the reliability and accuracy of the relative frequency. The observed relative frequency is expected to be very close to the actual probability, resulting in the smallest difference between the two.

Therefore, the order from the situation with the largest difference between relative frequency and actual probability to the situation with the smallest difference would be:

Situation 1: Derrick rolls the die 10 times.

Situation 2: Derrick rolls the die 100 times.

Situation 3: Derrick rolls the die 1,000 times.

Situation 4: Derrick rolls the die 10,000 times.

Situation 5: Derrick rolls the die 1,000,000 times.

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Related Questions

33 + 78 + 10 + 98 + 76

Answers

Answer:

The sum of 33, 78, 10, 98, and 76 is 295.

Answer:

295

Step-by-step explanation:

add the numbers by using the addiction sign

Graph shows two triangles plotted on a coordinate plane. One triangle is at A (minus 4, 4), B (minus 8, 2), and C (minus 6, minus 6). Another triangle is at A prime (4, minus 2), B prime (2, 2), and C prime (6, 0). A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC onto ∆A′B′C′ is a followed by a .

Answers

The sequence of transformations that maps triangle ABC onto triangle A'B'C' is a translation by (+8, -6) followed by a reflection across the y-axis.

To determine the sequence of transformations that maps triangle ABC onto triangle A'B'C', let's analyze the given coordinate points.

Triangle ABC:

A (-4, 4)

B (-8, 2)

C (-6, -6)

Triangle A'B'C':

A' (4, -2)

B' (2, 2)

C' (6, 0)

By comparing the corresponding vertices, we can identify the transformations:

Translation:

To transform A to A', we can observe that A' is obtained by moving 8 units to the right and 6 units downwards from A. Therefore, the first transformation is a translation by (+8, -6).

Reflection:

Next, we notice that B' is the reflection of B across the y-axis. Thus, the second transformation is a reflection about the y-axis.

Therefore, the sequence of transformations that maps triangle ABC onto triangle A'B'C' is a translation by (+8, -6) followed by a reflection across the y-axis.

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer: its D! not 8!!!

Step-by-step explanation:

Given the following Mayan Number, write the equivalent Base-10 number in the Answer Box. Each
row (place value) is separated with white space.
> Next Question
Your Answer:
:|| :||- €

Answers

The Mayan number || :||- € is equivalent to the base-10 number 1021.

How to find Mayan number?

To convert a Mayan number to base-10, use the following steps:

Read the number from bottom to top, starting with the ones place.Assign a value to each digit, based on its position.Multiply each digit by its place value.Add the products together to get the final value.

In this case, the values of the digits are as follows:

Ones: 1

Twentys: 0

Four-hundreds: 2

Eight-thousands: 1

The place values are as follows:

Ones: 1

Twentys: 20

Four-hundreds: 400

Eight-thousands: 8000

The final value is calculated as follows:

1 × 1 + 0 × 20 + 2 × 400 + 1 × 8000 = 1021

Therefore, the Mayan number || :||- € is equivalent to the base-10 number 1021.

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O+O+O=30

1-3 -5 -7
9 -11 -
15

Answers

To solve the equations:

O + O + O = 30

1 - 3 - 5 - 7

9 - 11 -

15

We can start by simplifying the second equation:

1 - 3 - 5 - 7 = -14

9 - 11 - x = -14

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

-11 - x = -14

Adding 11 to both sides of the equation:

-11 + 11 - x = -14 + 11

Simplifying:

-x = -3

Multiplying both sides by -1:

(-1) * (-x) = (-1) * (-3)

x = 3

Now, substituting the value of x back into the second equation:

9 - 11 - 3 = -14

-5 - 3 = -14

-8 = -14

This is not a true statement. Therefore, the values provided do not satisfy the equations given.

What is the answer to this question? Having a hard time completing and finding answer

Answers

5^1/3 is equivalent to as ∛5

Check out this square pyramid: Find the surface area of the square pyramid (above) using its net (below).​

Answers

The surface area of a square pyramid attached is

40 square units

How to find the surface area of a square pyramid

The surface area of a square pyramid is solved using the formula

= a² + 2 * a * l

where

a = side of the square

l = slant height

In the problem

a = 4

l = 3

plugging in the values

surface area of a square pyramid = 4² + 2 * 4 * 3

surface area of a square pyramid = 16 + 24

surface area of a square pyramid = 40 square units

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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

Answer:

A)19.0

B)10.0

Step-by-step explanation:

Using [tex]\frac{1}{2} * absin(C)[/tex]

This is used when you have an angle between two sides

Kindly check the attached image for the solution

Michelle was fishing in her canoe at point A in the lake depicted
above. After trying to fish there, she decided to paddle due east
at a steady speed of 10 miles per hour. As she paddled, a wind
blowing due south at 5 miles per hour caused a change in her
direction. To the nearest tenth of a mile, what is the velocity,
represented by vector AC, of her canoe?
A 8.6 miles per hour
B 10 miles per hour
11.2 miles per hour
D 17.2 miles per hour

Answers

The velocity represented by vector AC of Michelle's canoe is approximately option C. 11.2 miles per hour.

How did we get the value?

To determine the velocity, represented by vector AC, of Michelle's canoe, use the concept of vector addition.

Break down the motion into its components:

1. Paddling due east at 10 miles per hour: This motion can be represented by a vector pointing in the positive x-direction with a magnitude of 10 mph.

2. Wind blowing due south at 5 miles per hour: This motion can be represented by a vector pointing in the negative y-direction with a magnitude of 5 mph.

To find the resultant velocity, add these two vectors. Using the Pythagorean theorem, calculate the magnitude of the resultant velocity:

AC² = AB² + BC²

AB (paddling east) = 10 mph

BC (wind blowing south) = -5 mph (negative sign due to opposite direction)

AC² = (10 mph)² + (-5 mph)²

AC² = 100 mph² + 25 mph²

AC² = 125 mph²

Taking the square root of both sides:

AC ≈ √(125) mph

AC ≈ 11.2 mph (rounded to the nearest tenth)

Therefore, the velocity represented by vector AC of Michelle's canoe is approximately 11.2 miles per hour.

The correct answer is option C: 11.2 miles per hour.

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A truck travels from warehouse A at (–4,8) to warehouse B at (–4,–1). If each unit represents 20 miles per hour, how long will it take the truck to travel this distance?

Answers

It will take the truck 9 hours to travel from warehouse A to warehouse B.

To determine the time it takes for the truck to travel from warehouse A at (-4, 8) to warehouse B at (-4, -1), we need to calculate the distance between these two points and then convert it to time using the given unit of 20 miles per hour.

First, let's find the vertical distance between the two points. The y-coordinate of warehouse A is 8, and the y-coordinate of warehouse B is -1. So the vertical distance is 8 - (-1) = 9 units.

Next, we convert the vertical distance to miles. Since each unit represents 20 miles per hour, we multiply the vertical distance by 20: 9 units × 20 miles/unit = 180 miles.

Now, we can calculate the time it takes to travel this distance. We divide the distance by the speed of the truck, which is 20 miles per hour: 180 miles / 20 miles per hour = 9 hours.

Therefore, it will take the truck 9 hours to travel from warehouse A to warehouse B.

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Factorise and Simplify :

a) 6p - 7q/12p - 14q

b) 6x⁵ - 8x²/2x

c) 10a + 15b/5

d) p² - 6q + 8/3p - 6


guys please help! please

Answers

a) We can factor out a common factor of two from the denominator and a half from the numerator: (6p - 7q)/(12p - 14q) = (3p - 7q/2)/(6p - 7q)

b) The numerator and denominator can be factored to provide a common factor of2x²: (6x⁵ - 8x²)/(2x) = 2x³ - 4

c) A common factor of 5 may be extracted from the numerator: (10a + 15b)/5 = 2a + 3b

d) By grouping factors, we may factor the numerator: p² - 6q + 8/3p - 6 = [(p² - 6q) + 8]/[3(p - 2)] = (p - 2)(p - 4)/(p - 2) = p - 4 (where p ≠ 2)

Factorising is the process of employing brackets to represent an expression as the product of its components. We do this by eliminating any elements that are shared by all of the expression's terms. Maths. Algebra. We must eliminate any factors that are shared by each word in an expression before we can factorize it. Expanding brackets is the process's reverse.

Finding an expression's highest common factor (HCF), or the largest number or letter that each term can be split by, is necessary to ensure that it has been properly factorized. Otherwise, there will still be common factors inside the bracket, preventing the expression from being properly factorized.

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Which expression can be used to find the value of x?
(sin 29°) (sin 42°)
9
O
○ 9(sin 29°) (sin 42°)
O
9(sin 29°)
sin 42°
9(sin 42°)
sin 29°

Answers

Answer:

Step-by-step explanation:

Jin decides to research the relationship between the length in inches and the weight of a certain species of catfish. He measures the length and weight of a number of specimens he catches, then throws back into the water. After plotting all his data, he draws a line of best fit. Based on the line of best fit, how much would you predict a catfish with a length of 33 inches would weigh?

Answers

Therefore, we would predict that a catfish with a length of 33 inches would weigh approximately 26.5 pounds.

Jin has decided to research the relationship between the length in inches and the weight of a certain species of catfish. He measures the length and weight of a number of specimens he catches, then throws back into the water. After plotting all his data, he draws a line of best fit.

The given problem is related to a scatter plot, which depicts the relationship between the length in inches and the weight of a certain species of catfish. Based on the scatter plot, it is clear that there is a positive correlation between length and weight.

The correlation between the two variables can be measured using the correlation coefficient, r, which ranges between -1 and 1, where -1 denotes a perfect negative correlation, 1 denotes a perfect positive correlation, and 0 denotes no correlation.

The line of best fit can be determined using the method of least squares.

This method minimizes the sum of the squared errors between the observed values and the predicted values.

The equation of the line of best fit is

y = mx + b,

where m is the slope of the line and b is the y-intercept.

To predict the weight of a catfish with a length of 33 inches, we need to use the equation of the line of best fit.

Let's assume that the equation of the line of best fit is

y = 0.5x + 10,

where y is the weight of the catfish in pounds and x is the length of the catfish in inches.

Then, we can substitute x = 33 into the equation to obtain:

y = 0.5(33) + 10

   = 16.5 + 10

   = 26.5

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What additional information is needed to prove the triangles are congruent by the SAS Postulate?

Answers

An additional information that is needed to prove the triangles are congruent by the SAS Postulate is: D. ∠BAC ≅ ∠DAC.

What are the properties of similar triangles?

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.

Based on the side, angle, side (SAS) similarity theorem, we can logically deduce that ∆BAC is congruent to ∆DAC when the angles A (∠A) are congruent by the reflexive property.

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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

Answer:

Step-by-step explanation:

32 60 68

What is the volume of a square pyramid with base edges of 18 cm and a slant height of 15 cm?

Answers

Answer:

the volume of the square pyramid is 2430 cubic cm

Answer:

1296 cm³

Step-by-step explanation:

V = a² x [√s²- (a/2)²] / 3

a = 18 cm

s = 15 cm

V = 18² x [√15²-(18/2)²] / 3 = 18² x [√225-81] / 3

V = 324 x (√144/3) = 1296 cm³

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

The total area of the quadrilateral DEFG is determined as 154 cm² .

option A.

What is the total area of the quadrilateral?

The total area of the quadrilateral DEFG is calculated by applying the following method.

Consider triangle GDE in the quadrilateral;

base of the triangle = 16 cm

height of the triangle = 8 cm

Area of the triangle GDE = ¹/₂ x base x height

Area of the triangle GDE = ¹/₂ x 16 cm x 8 cm

Area of the triangle GDE = 64 cm²

Consider triangle GEF in the quadrilateral;

base of the triangle = 18 cm

height of the triangle = 10 cm

Area of the triangle GEF = ¹/₂ x base x height

Area of the triangle GEF = ¹/₂ x 18 cm x 10 cm

Area of the triangle GEF = 90 cm²

The total area of the quadrilateral DEFG is calculated as;

Area =  64 cm² +  90 cm²

Area = 154 cm²

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a pyramid and a cone are both 10 centimeters tall and have the same volume what statement

Answers

Answer: "The pyramid and the cone have the same volume despite their different shapes."

Step-by-step explanation: If a pyramid and a cone are both 10 centimeters tall and have the same volume, then the statement that can be made is:

"The pyramid and the cone have the same volume despite their different shapes."

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Appling the tangent of circle properties, the length of RS is solved to be

C. 13 in

How to find the length of the tangent

To find the length of the tangent named RS, we applied the tangent of a circle property which says that the length of tangents to a particular point are equal

This leads to the mathematical equation represented below

SR = 7 in + 6 in

SR = 13 in

thus we can say that length of the tangent SR = 13 in

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The additional growth of plants in one week are recorded for 11 plants with a
sample standard deviation of 3 inches and sample mean of 10 inches.
t at the 0.05 significance level = Ex: 1.234
Margin of error = Ex: 1.234
Confidence interval = [ Ex: 12.345 Ex: 12.345 ]
[smaller value, larger value]

Answers

1. The t-value of the data is 1.833

2. The margin of error is 1.66

3. The confidence interval is between 11.66 to 8.34

What is the margin of error?

From the question given;

sample size = 11

sample mean = 10 inches

standard deviation = 3 inches

1.The t-value of the data with a degree of freedom equal to 10 at 0.05 significance level = 1.833

2. Using the formula below, the margin of error is;

[tex]ME = t * \frac{SD}{\sqrt{n} }[/tex]

ME = margin of errort = t-valueSD = standard deviationn = sample size

Substituting the values into the formula above;

ME = 1.833 * 3/√11

ME = 1.66

3. The confidence interval of the data is;

CI = mean ± ME

where CI is the confidence interval, mean is the sample mean, and ME is the margin of error. In this case, the confidence interval is calculated as follows:

CI = 10 +/- 0.96 = 9.04 to 10.96 inches

CI = 10 ± 1.66 = 11.66 to 8.34

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The side lengths of ABC are AB = 12, BC= 19, and AC = 11. List the
angles of the triangle in order from smallest to largest.

Answers

The angles of the triangle are ordered as follows:

<B, <C and <A.

What is the law of sines?

We consider a triangle with side lengths and angles related as follows:

Side length of a is opposite to angle A.Side length of b is opposite to angle B.Side length of c is opposite to angle C.

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

By the law of sines, we have that the greater angle measures are opposite to the greater side lengths.

Hence the angle measures for this problem are ordered as follows:

<B -> opposite to AC = 11.<C -> opposite to AB = 12.<A -> opposite to BC = 19.

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The angles of triangle ABC is arranged below

angle b - smallest

angle c

angle a - largest

How to arrange the measure of the angles

To determine the angles of triangle ABC in order from smallest to largest, we can use use the knowledge that the side with higest length will face the largest angle.

Let the angles be

angle c is opposite AB = 12

angle b is opposite AC = 11

angle a is opposite BC = 19

Using the knowledge as introduced we have that

angle a > angle c > angle b

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Question no 59
Need solution

Answers

The area of the shaded region is  104 cm²

How to determine the area

First, we need to know that the area of a circle is calculated using the formula;

A = πr²

Such that the parameters of the formula are;

A is the area of the circler is the radius

First, let us find the area of the small circle

Area = 3.14 × 4²

Find the square value and multiply, we have;

Area = 50.24cm²

Area of the large circle = 3.14 × 7²

Find the square value and multiply

Area = 153. 86cm²

Area of the shaded region = Area of large circle - area of small circle

= 153.86 - 50.24

= 104 cm²

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WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!

The first figure is dilated to form the second figure.

Which statement is true?

(A) The scale factor is 0.8.
(B) The scale factor is 1.25.
(C) The scale factor is 2.0.
(D) The scale factor is 18.0.

Answers

To figure the scale factor, divide the given number of the larger shape by the original shape’s number.

Applying this, we will get 10/8, which is 0.8.

The volume of a cone with height h and radius r can be found using the formula V= 1/3 π r^2h
Find the volume of a cone with radius 9 feet and height 4 feet. Round your answer to two decimal places.

Answers

Answer:
To find the volume of a cone with radius 9 feet and height 4 feet, we can use the formula:

V = (1/3) * π * r^2 * h

Plugging in the values:

V = (1/3) * π * (9^2) * 4

Calculating:

V = (1/3) * π * 81 * 4

V ≈ 108.19 cubic feet

Therefore, the volume of the cone is approximately 108.19 cubic feet (rounded to two decimal places)

Determine the voltage dropped on R3, given:
ET = 1325 V, R1 = 76 Ω, R2 = 61 Ω, R3 = 30 Ω, and R4 = 30 Ω

Answers

The voltage drop across resistor R₃ is determined as 237.9 V.

What is the total current flowing in the circuit?

The total current flowing in the circuit is calculated by applying Ohm's law as shown below.

V = IR

I = V / R

where;

V is the total voltage in the circuitR is the total resistance of the circuit

Since the circuit is in series connection, the total resistance is calculated as follows;

R = R₁ + R₂ + R₃

R = 76 ohms + 61 ohms + 30 ohms

R = 167 ohms

The current flowing in each circuit component is calculated as;

I = V/R

I = 1325 V / 167Ω

I = 7.93 A

The voltage drop across R₃ is calculated as follows;

V₃ = IR₃

V₃ = 7.93 x 30

V₃ = 237.9 V

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The complete question is below:

This cirucit is in series. Determine the voltage dropped on R3, given:

ET = 1325 V, R1 = 76 Ω, R2 = 61 Ω, R3 = 30 Ω, and R4 = 30 Ω

Eleanor used a ruler to report the length of a
piece of wood as 9.7 inches.

Part A:
What is the range of values in inches for the
actual measurement of the piece of wood?

Part B :
How many significant digits does the measurement have?

Answers

Answer:

Part A: The actual measurement of the piece of wood could be between 9.65 and 9.75 inches.

Part B: The measurement has three significant digits.

Step-by-step explanation:

Significant digits are the digits in a number that carry meaning in terms of the precision or accuracy of the measurement. In this case, the number 9.7 has three significant digits, which means that the measurement is accurate to the tenths place.

According to the synthetic division below, which of the following statements are true? -4/3 7 20

Answers

According to the synthetic division below, the true statements are as follows:

B. The number 4 is a root of F(x) = 3x2-13x+4.

D. (3x2 - 13x+4) - (x - 4) = (3x - 1)

F. (x-4) is a factor of 3x2.13x+ 4.​

How to determine the true statements

Synthetic divisions are the manual ways of bypassing long divisions while performing the Euclidean dividion of polynomials. For the given expressions, we can determine the true statements in this way:

1. F(x) = 3x² - 13x +4.

(x-4) (3x-1)

So, x = 4 or 1/3

4 is an actual root of the function.

2. (3x² - 13x + 4) ÷ (x - 4) = (3x - 1)

3. 3x² - 13x + 4 = (x-4) (3x-1)

So, since all these expressions are true, they meet the requirements for the synthetic division.

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Complete Question:

According to the synthetic division below, which of the following statements are true? Check all that apply. 4 4)3 -13 12 3 0 O A. The number -4 is a root of F(x) = 3x2.13x + 4. B. The number 4 is a root of F(x) = 3x2-13x+4. O C. (3x2 - 13x + 4) - (x + 4) = (3x - 1) D. (3x2 - 13x+4) - (x - 4) = (3x - 1) O E. (x + 4) is a factor of 3x2 - 13x + 4. IF (x-4) is a factor of 3x2.13x+ 4.​

A rectangular room is tiled with tiles 1
2
inches long and 1
2
inches wide. If the room is L tiles long and W tiles
wide, find the room’s area, in square inches.

Answers

The room’s area, in square inches is,

⇒ A = 144LW square inches.

We have to given that,

A rectangular room is tiled with tiles 12 inches long and 12 inches wide.

And, The room is L tiles long and W tiles wide.

Hence, Lenght of L tiles,

= 12L

And, Length of W tiles,

= 12W

Since, We know that,

Area of rectangle is,

⇒ A = Length x width

Substitute given values, we get;

⇒ A = 12L x 12W

⇒ A = 144LW square inches.

Therefore, The room’s area, in square inches is,

⇒ A = 144LW square inches.

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Write the equation of the line, in slope-intercept form, with the
following information:

rate of change: undefined

point: (-3,2)

Answers

y = -3x + 2 is the equation of the line, in slope-intercept form, with the following information.

Thus, The most "popular" type of a straight line is one with a slope-intercept. Due of its simplicity, this is helpful to a lot of kids.

The slope and y-intercept of the straight line can be easily determined or read off from this form, making it possible to describe its properties without having access to the graph.

You may learn how to determine the equation of a line from any two points that this line passes through using the slope intercept form calculator.

Continue reading to find out what a linear equation's slope intercept form is, how to calculate a line's equation, and the significance of the slope intercept form equation in practical applications.

Thus, y = -3x + 2 is the equation of the line, in slope-intercept form, with the following information.

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"Determine the length of the line segment shown."

Answers

The length of the segment shown in the graph is 10 units

The endpoints on the line segment are : (2, - 1) and (-4,7)

Length of line segment

The Length of a line segment can obtained using the relation :

Length = √(x2 - x1)² + (y2 - y1)²

Here,

x2 = - 4, x1 = 2, y2 = 7, y1 = - 1

Length of segment = √((-4) - 2)² + (7 - (-1))²

Length of segment = √(-6)² + (8)²

Length of segment = √36 + 64

Length of segment = √100 = 10 units

Therefore, the length of the segment on the graph shown is 10 units.

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At 30th April, Wendys bank ledger account shows a debit balance of 10,560.10. The following information is available:Cheques amounting to 1,685.75 have been written to suppliers but have not yet cleared the bankUncleared bankings amount to 3,190.00A direct debit paid in April for 580.00 has not yet been entered into the bank ledger accountWhat is the closing balance on Wendys bank statement at 30th April? You invested 12,000 in an account at 2.3% compounded monthly. How long will it take you to get to 20000 Please tell me the answer ASPA Help due today this is for grade asap thx if you help the middle class including merchants industrialists and professional people Which of the following correctly expresses the present value of $1 to be received T periods from now if the per period opportunity cost of time is given by the discount rater? a)(1 - rt) b) 1/(1+r)^t c)(1 + rt) d)(1 + r Let f(x) = 3x - 2, g(x) = - 2xfind:(gof)(x)(0g) (x)g2 (x) where do earthquakes most likely occur? (1 point) Lety 3.02 Find the change in y, Ay when Find the differential dy when x = 3 and A2 0.4 3 and doc 0.4 The given curve is rotated about the y-axis. Find the area of the resulting surface.y = 14x2 12ln x, 3 x 5 which statements identify differences between proteomics and genomicsa. Genomics starts at the DNA level and makes inferences about the product, whereas proteomics begins with the product.b. Microarrays are used for the analysis of DNA in genomics, but cannot be utilized in proteomics.c. Proteomics determines the functionality of proteins, whereas genomics only identifies genes. Mass spectrometry is a technique that is used in proteomics, but not in genomics.d. Genomics is used to identify the entire human genome, whereas proteomics is only used to identify specific proteins in organisms. legally recognized categories of exceptionality are defined by state licensing requirements include proof of what responsibility Find a basis for the following subspace of R3 : All vectors of the form b , where a-b+2c=0. 10] Round your final answer to four decimal places. Approximate the area under the curve on the given interval using a rectangles and using the on endpoint of each subinterval as the evaluation points. y=x2 +8 on [0, 1], n = 18 Find || V || . v= -91 -2+ 6k IV- (Simplify your answer. Type an exact value, using fractions and radicals as needed.) Find | V || v=3i - 7j + 3k IV-(Type an exact answer, using radicals as needed.) O = Homework: GUIA 4_ACTIVIDAD 1 Question 3, *9.1.15 Part 1 of 4 HW Score: 10%, 1 of 10 points O Points: 0 of 1 Save Use Euler's method to calculate the first three approximations to the given initial In a resting potential, an example of a cation that is more abundant as a solute inside a neuron than it is in the interstitial fluid outside the neuron is ________.a.) HCO3b.) Na+c.) Ca++d.) K+e.) Cl midcentury native americans struggled to secure sovereignty. identify the actions taken by advocates, including the national congress of american indians (ncai), in defense of native american sovereignty. The _________blank is the value of a group of recurring payments at a certain date in the future, assuming a particular rate of return, or discount rate. Multiple Choicepresent value of an annuityannuityordinary annuityfuture value of an annuity