I have to find PLS HELP

Amelia paid a total fine of £1.44 for returning the DVD 16 days overdue.

To calculate the total fine paid by Amelia, we need to determine the number of days the DVD was overdue and then multiply that by the fine rate.

The rental period for the DVD is from 26 November to 12 December. To find the number of days overdue, we subtract the due date from the actual return date:

12 December - 26 November = 16 days

Since the fine rate is 9p per day, we multiply the number of days overdue by the fine rate:

16 days × £0.09/day = £1.44

Therefore, Amelia paid a total fine of £1.44 for returning the DVD 16 days overdue.

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a) There are 36 possible sample points. b) The sample points are: (1,1), (1,2), (1,3), ..., (6,5), (6,6). c) The probability of obtaining a sum of 7 is 6/36 = 1/6. d) The probability of obtaining a sum of 9 or greater is 10/36 = 5/18.  e) The given statement " each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (3, 5, 7, 9, and 11), the dice should show even values more often than odd values." is true. Because there are more ways to obtain even sums than odd sums. f) The method used to assign probabilities is the classical method.

There are 36 possible sample points in this experiment. (6 possible outcomes for the first die multiplied by 6 possible outcomes for the second die)

Sample points:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

The probability of obtaining a value of 7 is 6/36 or 1/6. This can be determined by counting the number of sample points that result in a sum of 7 (there are 6 of them) and dividing by the total number of sample points.

The probability of obtaining a value of 9 or greater is 10/36 or 5/18. This can be determined by counting the number of sample points that result in a sum of 9 or greater (there are 10 of them) and dividing by the total number of sample points.

Yes, we agree with this statement. There are more possible outcomes that result in an even sum than an odd sum. Specifically, there are 18 even sums and only 18 odd sums.

This is because an even sum can be obtained by either adding two even numbers, or adding an odd number and an even number (which gives an even result). An odd sum can only be obtained by adding an odd number and an even number.

We used the classical method to assign probabilities, which assumes that all outcomes are equally likely. This method works well for simple random experiments like rolling dice, but may not be appropriate for more complex experiments.

Other methods for assigning probabilities include the empirical method (based on observed frequencies in past data) and the subjective method (based on personal judgment or expert opinion).

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The value of the standard error of the mean in each of the following cases:

a. The population size is infinite = 1.4142

b. The population size is N = 50,000 = 1.4135

c. The population size is N = 5000 = 1.4073

d. The population size is N = 500 = 1.343

The standard error is a statistical technique used to measure variability. SE is the abbreviation. A statistic's or parameter estimate's standard error is the standard deviation of its sample distribution. It can be defined as an approximation of that standard deviation.

Standard error calculation:

σ = 10

n = 50

A) when size is infinite, the standard deviation of the sample mean is given by the formula;

σ_x' = σ/√n

Thus,

σ_x' = 10/√50

σ_x' = 1.4142

B) size is given, thus, the standard deviation of the sample mean is given by the formula;

σ_x' = (σ/√n)√((N - n)/(N - 1))

Thus, with size of N = 50,000, we have;

σ_x' = 1.4142 x √((50000 - 50)/(50000 - 1))

σ_x' = 1.4142 x 0.9995

σ_x' = 1.4135

C) at N = 5000;

σ_x' = 1.4142 x √((5000 - 50)/(5000 - 1))

σ_x' = 1.4073

D) at N = 500;

σ_x' = 1.4142 x √((500 - 50)/(500 - 1))

σ_x' = 1.343

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Answer:

I don't know that one sorry

The addition of the polynomial \(x^{3}+3xy-2xy^{2} +y^{3}\) with \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is  \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

What is a polynomial?

⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.

Calculation;

We have been given two polynomial which we have to add   \(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\)

The sign after addition or subtraction will always be of the variable having more value.

\((x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})\)

On adding like terms with each other

⇒ \((x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})\)

⇒ \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\)

Hence the addition of the polynomial\(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

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Answer:

P = a + b + c

Step-by-step explanation:

Well, the formula is most likely P = a + b + c unless any more information is provided. Adding all three sides together will give you the perimeter.

Hope this helps!

Answer:

yes. The answer is a+b+c

Answer:

Step-by-step explanation:

Rap music is generally more popular with young blacks than young whites, during the 80s-90s when rap was becoming more popular with artists such as 2pac, BIG, Dr. Dre, etc they were more popular among young blacks than whites

Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

Answer:

B

Step-by-step explanation:

We know that AB has endpoints at A(4, -3) and B(3, 7).

To find Line D, which is the perpendicular bisector of AB, we first need to find the slope of AB and its midpoint.

So, let's find the slope of AB using the slope formula:

Let (4, -3) be (x₁, y₁) and let (3, 7) be (x₂, y₂). Substitute them into the slope formula:

So, the slope of AB is -10.

Remember that the slopes of perpendicular lines are negative reciprocals of each other.

Therefore, the slope of our Line D is the negative reciprocal of -10. Which is -10 flipped and multiplied by a negative.

So, Line D has a slope of 1/10.

Now, since Line D is also the perpendicular bisector of AB, we need to find the midpoint of AB since Line D must pass through this point.

To find the midpoint, we can use the midpoint formula:

We can again let (4, -3) be (x₁, y₁) and let (3, 7) be (x₂, y₂). Substitute them into the midpoint formula to obtain:

Evaluate. So, the midpoint is:

Now, we can find the equation of our Line D. We know that its slope is 1/10, and that it must pass through (3.5, 2). So, we can use the point-slope form:

Where m is the slope. Let's let (3.5, 2) be (x₁, y₁) and substitute 1/10 for m. This yields:

This is the same as choice C. So, choice C is indeed an equation of Line D.

We can distribute the right to obtain:

Add 2 to both sides to acquire:

This is the same as choice D. So, choice D is indeed an equation of Line D.

Moreover, we can put this into standard form by multiply everything by 10, which gives:

Subtracting x from both sides yields:

This is the same as A. So, choice A is also an equation of Line D.

There is no way to acquire choice B. So, B is not an equation of Line D.

Therefore, our answer is B.

And we're done!

The slope of the given containing ordered paid A(2,-5) and B(-2,6) is -11/4.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The slope of the given containing ordered paid A(2,-5) and B(-2,6) is:

Slope = 6+5/-2-2 = 11/-4

Hence, the slope of the given containing ordered paid A(2,-5) and B(-2,6) is -11/4.

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Step-by-step explanation:

let point that BD intersects extended A be Z

angle BDA = 180 - 56 - 78 = 46 deg (supplementary angle in //ogram)

angle AZD = 180 - 98 = 82 deg (angles on a straight line/supplementary angles on straight line)

therefore,

angle x = 180 - 82 - 46 = 52 deg (sum angles of triangle)

After 11 years, only 2.25 g of the radioactive substance will remain, assuming that the half-life remains constant over time.

Based on the information given, we can use the concept of half-life to estimate how much of the radioactive substance will be present after 11 years. Half-life is the time it takes for half of the radioactive material to decay.
If 6 g of the substance remains after 4 years, it means that half of the initial amount (12 g) has decayed. Therefore, the half-life of this substance is 4 years.
To calculate how much of the substance will be present after 11 years, we need to determine how many half-lives have passed. Since the half-life of this substance is 4 years, we can divide 11 years by 4 years to find out how many half-lives have passed:
11 years / 4 years per half-life = 2.75 half-lives
This means that after 11 years, the substance will have decayed by 2.75 half-lives. To calculate how much of the substance will remain, we can use the following formula:
Amount remaining = Initial amount x \((1/2)^{(number of half-lives)}\)
Plugging in the values, we get:
Amount remaining = 12 g x \((1/2)^{(2.75)}\)
Solving this equation gives us an answer of approximately 2.25 g of the substance remaining after 11 years.
Therefore, after 11 years, only 2.25 g of the radioactive substance will remain, assuming that the half-life remains constant over time.

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The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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In 2.63  hours the prices of the two stocks be the​ same

Two or more expressions with an Equal sign is called as Equation.

Given,

The price of Stock A at 9 A.M. was $12.71.

Price has been increasing at the rate of $0.08 each hour

Price of Stock B was $13.21

The price has been decrease at the rate of $0.11 each hour.

We can write in the form of equation , to find how many hours will the prices of the two stocks be the​ same

12.71+0.08h=13.21-0.11h

0.11h+0.08h=13.21-12.71

0.19h=0.5

Divide both sides by 0.19

h=0.5/0.19

h=2.63

Hence, in 2.63  hours the prices of the two stocks be the​ same

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Answer:

Step-by-step explanation:

1) \(r \parallel s\) (given)

2) \(\angle 2\) and \(\angle 4\) are supplementary (angles that form a linear pair are supplementary)

3) \(\angle 4 \cong \angle 8\) (corresponding angles theorem)

4) \(\angle 2\) and \(\angle 8\) are supplementary (substitution)

you used approximately 569 sheets of paper each day.

To determine the number of sheets of paper used each day, we'll first calculate the total number of sheets used in 888 days and then divide it by the number of days.

Total sheets used = Initial number of sheets - Remaining sheets
Total sheets used = 505050 - 222 = 504828 sheets

Now, divide the total sheets used by the number of days:
Sheets used each day = Total sheets used / Days
Sheets used each day = 504828 / 888 ≈ 568.5 sheets

Since you cannot use half a sheet, it is likely a rounding error. So, you used approximately 569 sheets of paper each day.

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The radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm is approximately 1.42857 radians.

To find the radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm, we can use the formula:

θ = s / r,

where θ is the radian measure of the central angle, s is the length of the arc, and r is the radius of the circle.

In this case, the length of the arc (s) is given as 10 cm, and the radius (r) is 7 cm. Plugging these values into the formula, we have:

θ = 10 cm / 7 cm.

Simplifying the expression, we get:

θ ≈ 1.42857 radians.

Therefore, the radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm is approximately 1.42857 radians.

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Answer:

  173.82 cm²

Step-by-step explanation:

You want the area of a regular octagon, given its side length is 6 cm.

A regular n-gon can be divided into n congruent isosceles triangles, each with its a.pex at the center of the polygon. The a.pex angle will have a measure of 360°/n.

The central angle of one sector of a regular octagon is 360°/8 = 45°. That means the triangle interior angle at A or B will be ...

  ∠OAM = (180° -45°)/2

  ∠OAM = 67.5°

The apothem of a regular polygon is the distance from its center to the midpoint of one side. Here, it is the length of segment OM.

We know ∠OAM is 67.5°. The side OM of triangle OAM is related to the side AM by the tangent function:

  Tan = Opposite/Adjacent

  tan(67.5°) = OM/AM

Since M is the midpoint of the 6 cm length AB, the measure of AM = 3 cm. That lets us find OM:

  OM = AM·tan(67.5°) = (3 cm)tan(67.5°)

  OM ≈ 7.2426 cm

The area of the octagon will be 8 times the area of a sector triangle. This, ...

  A = 8(1/2sa) . . . . . . . . . . where s is the side length, and a is the apothem

  A = 4(6 cm)(7.2426 cm)

  A ≈ 173.82 cm²

__

Additional comment

Effectively, we have found a formula for the area of any regular n-gon using only the side length.

  a = s/2·tan(90° -180°/n)

  A = ns/2·a = (1/2)ns·(1/2)s·tan(90° -180°/n)

  A = ns²/(4·tan(180°/n))

For this octagon, the formula gives ...

  A = 8·(6 cm)²/(4·tan(22.5°)) ≈ 173.82 cm²

The formula A = (n/2)sa is often written A = 1/2Pa, where P is the perimeter (=ns).

You may notice that many regular polygon area problems give inconsistent values for the side length and apothem. Specifying one is sufficient for finding the area. Specifying numerical values for both is trouble.

Answer:

13.65

Step-by-step explanation:

Answer:

The containers will never have the same amount of water.

Step-by-step explanation:

Container A has 100 L of water, and is being filled at a rate of 16 liters per minute.

Filling means that it is adding water.

This means that after m minutes, the amount of water in the container will be:

La(m) = 100 + 16m

Container B has 50 L of water, and is being drained at 6 liters per minute.

Draining means that it is removing water.

This means that after m minutes, the amount of water in the container will be:

Lb(m) = 50 - 6m

How many minutes, m, will it take for the two containers to have the same amount of water?

This is m for which:

La(m) = Lb(m)

100 + 16m = 50 - 6m

16m + 6m = 50 - 100

22m = -50

m = -2....

Since we cannot have a negative number of minutes, the answer is:

The containers will never have the same amount of water.

Answer: 187.50 for 5 hours

I believe that's how they want it done.

Answer:

5^2+10^2=25+100=125

Step-by-step explanation:

Answer: 125

Step-by-step explanation: 5² + 10² = 25 + 100

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

base 3, height 3

Step-by-step explanation:

5-2=3 4-1=3

Answer:

x=−2 or x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

x2−5x=14

Step 1: Subtract 14 from both sides.

x2−5x−14=14−14

x2−5x−14=0

Step 2: Factor left side of equation.

(x+2)(x−7)=0

Step 3: Set factors equal to 0.

x+2=0 or x−7=0

x=−2 or x=7

The prove of given limit lim θ → 0 ( sin θ / θ ) = 1 is shown in below.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

⇒ lim θ → 0 ( sin θ / θ ) = 1

Here, The form of given limit is 0/0, so we can apply the L - Hospital Rule.

⇒ lim θ → 0 ( sin θ / θ ) = 1

Take LHS;

⇒ lim θ → 0 ( d/dθ (sin θ)/ dθ/dθ )

⇒ lim θ → 0 ( cos θ / 1 )

⇒ ( cos 0 )

⇒ 1

⇒ RHS

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Answer:

y = -x - 7

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is x + y = 1.

First, let's put this into standard form.

x + y = 1

y = -x + 1

Now we have an equation in standard form. Its slope is -1. A line parallel to this one will also have a slope of -1.

Plug this value (-1) into your standard point-slope equation of y = mx + b.

y = -x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-7, 0). Plug in the x and y values into the x and y of the standard equation.

0 = -1(-7) + b

To find b, multiply the slope and the input of x (-7)

0 = 7 + b

Now, subtract 7 from both sides to isolate b.

-7 = b

Plug this into your standard equation.

y = -x - 7

This equation is parallel to your given equation (y = -x + 1) and contains point (-7, 0)

Hope this helps!