Given the recursive formula below, find the first five terms.

Answer:

Sandy's experimental probability was closest to the theoretical probability in the experiment with 3,000 flips.

In probability, as the number of trials increases, the experimental probability is expected to converge to the theoretical probability. This is known as the Law of Large Numbers. Since the experiment with 3,000 flips had the most number of trials, it is most likely that the experimental probability was closest to the theoretical probability in this experiment. The larger the sample size, the more likely it is to reflect the true probability of the coin being a fair coin.

Answer:

the answer to this question is 107

Yes, a 3x3 matrix can have infinite solutions. This is because if the determinant of the matrix is zero, the system of equations has an infinite number of solutions.

A 3x3 matrix is a system of three equations with three unknowns.

For a system of linear equations to have a unique solution, the determinant of the matrix must not be zero. If the determinant of the matrix is zero, then the system of equations has an infinite number of solutions.

Therefore, a 3x3 matrix can have infinite solutions if the determinant of the matrix is zero.

Yes, a 3x3 matrix can have infinite solutions. This is because if the determinant of the matrix is zero, the system of equations has an infinite number of solutions.

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Probability of scalene triangle, isosceles triangle and at least one side of the triangle is 6 cm are  1/4, 1/2 and 1/2 respectively

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

A probability of 0 means that an event is impossible, a probability of 1 means that an event is certain to occur.

A scalene triangle is a triangle with no equal sides.

An isosceles triangle is a triangle with two equal sides.

An equilateral triangle is a triangle with all 3 sides equal.

Check the attached image to see how I labeled the triangles

Triangle 1 is isosceles (two sides with 6 cm each)

Triangle 2 is scalene

Triangle 3 is isosceles (two sides with 10 cm each)

Triangle 4 is equilateral (three sides with 4 cm each)

Probability (Scalene triangle) = 1/4

Probability ( isosceles triangle) = 2/4 = 1/2

Probability ( At least one side is 6 cm) = 2/4 = 1/2

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Nikki's speed during the second part of her trip is the same as her speed during the first part of her trip, 54 miles/hour.

Nikki has to travel a total of 351 miles, and she travels the first 216 miles in 4 hours. The second part of her trip is the remainder of the distance she needs to travel, so we can calculate it by subtracting the distance she traveled in the first part from the total distance:

Second part of the trip = 351 miles - 216 miles = 135 miles

It takes Nikki 2.5 hours to travel the second part of her trip. To calculate her speed, we can divide the distance she traveled by the time it took her:

Speed = Distance / Time

Speed for the second part of the trip = 135 miles / 2.5 hours = 54 miles/hour

To compare her speed during the first and second parts of the trip, we can calculate the speed of Nikki during the first part of the trip:

Speed for the first part of the trip = 216 miles / 4 hours = 54 miles/hour

Nikki's speed during the second part of her trip is the same as her speed during the first part of her trip, 54 miles/hour.

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The circumference of the circle is 23.864

In order to calculate the circumference of a circle, you need to multiply the Diameter of the circle with value of π (pi) which is 3.14.

In the given question,

given, d = 7.6cm

formula : C = d x π

therefore, C = 7.6 x 3.14 = 23.864cm

Write the answer correctly to 3 significant figures.

Alternatively, Circumference can also be calculated by using the value of the radius of the circle. We know, Radius = Diameter/2

Therefore, C = ( 2 x r ) x  π

Symbols:

π = pi ( value = 3.14)

d = diameter

r = radius

C = circumference

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The length of f in the triangle is 11.6 cm

In trigonometry, the Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Cosine rule is therefore given as:

f² = g²+e²-2bccos F

f² = 4.3²+9.1²-2×4.3×9.1cos116

f² = 18.49+82.81-78.26(-0.44)

f² = 101.3+34.43

f² = 135.73

square root both sides

f = √135.73

f = 11.6 ( nearest tenth of centimeter)

therefore the length of f is 11.6cm

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Answer:

Step-by-step explanation:

To calculate how many boxes of cookies Marcel needs to make to earn a profit of $245.00, we need to use the following formula:

Profit = (Revenue - Expenses) / Number of boxes

We know that the revenue is $15.00 per box and the expenses are $50.00. We also know that the profit should be at least $245.00.

So we can substitute these values into the formula and solve for the number of boxes:

$245.00 = ($15.00 - $50.00) / x

Where x is the number of boxes.

To solve for x, we'll need to multiply both sides of the equation by x:

$245.00*x = ($15.00 - $50.00)

$245.00*x = -$35.00

x = -$35.00/$245.00 = -0.142857143

The number of boxes is a negative value which is not possible, so Marcel will not earn a profit of $245.00. She will need to increase her revenue or decrease her expenses to reach a profit of $245.00.

a) The price of fuel A is decreasing by a percentage of 12% per month.

b) The greater percentage decay is of type A fuel.

The standard definition of an exponential function is given as follows:

y = ab^x.

In which the parameters are given as follows:

For a decaying exponential function, we have that:

b = 1 - r, |b| < 1.

In which r is the decay rate.

For fuel type A, the decay rate is given as follows:

1 - r = 0.88

r = 0.12.

For fuel type B, the parameter b is given as follows:

b = 3.30/3.44

b = 0.96.

Hence the decay rate is of:

1 - r = 0.96

r = 0.04.

(which is a lower decay rate than the 0.12 of fuel type A).

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0.0764 is the probability that the scores differ by 5 or more points in either direction

The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

According to the information, the mean and standard deviation of "X" are:

μ(X) = 24

σ (X) = 2

We have to find the probability the scores differ by 5 or more points on either direction.

Consider X₁ and X₂ as the random variable, which showing the scores of Leon and Fred.

D = X₁ - X₂

According to the information the two scores are independent

The mean of μ(D) = 0

The standard deviation σ(D) = 2.828

Let's standardize D = -5

z = [x - μ(D)] /  σ(D)

z = - 1.77

Let's standardize D = 5

z = [x - μ(D)] /  σ(D)

z = 1.77

Using a table of typical normal probabilities as a guide:

= P (D ≤ -5) or P (D ≥ 5)

= P (z ≤ -1.77) + P (z ≥ 1.77)

= P (z ≥ 1.77) + P (z ≥ 1.77)

= 2P (z ≥ 1.77)
= 2(1 - P (z ≤ 1.77))

= 2 (1 - 0.9618)

= 0.0764

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The domain and the range of the relation are given by the following option:

d. domain: {1, 2, 3}, range: {–1, 0, 1}.

The domain of a function is the set that contains all the input values, which are the values from which the arrow departs.

The range of a function is the set that contains all the output values, which are the values from which the arrow arrives.

Considering these definitions and the description of the set, the correct option is given by option d.

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Answer:

Is your question complete? there's no y term

Answer:

Refer to the image attached.

Step-by-step explanation:

The amount of paint required for the grain silo is calculated to be

106.61 m²

The figure is made up of 2 objects a cylinder and the conical cover. Therefore, we solve for total surface area TSA of the cylinder and the cone and add

TSA for cylinder

= 2πr (h + r)

where

h = 6.2 m

r = 1.7 m

= 2π * 1.7 (6.2 + 1.7)

= 26.86π

TSA for cone

= πr (l + r)

where

l = slant height = 1.9 m

r = 1.7

= π * 1.7 (1.9 + 1.7)

= 6.12π

how much paint required = TSA for cone + TSA for cylinder

how much paint required = 6.12π + 26.86π

how much paint required = 32.98π

how much paint required = 103.61 m²

the thickness of the painting will say the volume of paint

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An inequality in standard form that describes this situation is 25x + 59y ≤ 495.

In order to write an inequality that represents or describes this situation, we would assign variables to the number of nails required by the small birdhouse and large birdhouse respectively, and then translate the word problem into algebraic equation as follows:

Since Tanner has a total of 495 nails on hand and a small birdhouse requires 25 nails while a large birdhouse requires 59 nails, an inequality that represents or describes this situation can be written as follows;

25x + 59y ≤ 495.

In conclusion, we can reasonably infer and logically deduce that the total number of nails required by both the small birdhouse and large birdhouse is less than or equal to 495 nails.

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The least possible value of n−m, expressed as a common fraction is 17/6.

By Triangle Inequality Theorem,

(x + 4) + 3x > x + 9

So 4x + 4 > x + 9

3x > 5

x > 5/3

If angle A is the largest angle, the side opposite to angle A will be the largest length, so

x + 9 > x + 4 (which is possible for all values of x)

and x + 9 > 3x

2x < 9

x < 9/2

Therefore 5/3 < x < 9/2. So m = 5/3 and n = 9/2

So calculating value of n - m

n - m = 9/2 - 5/3

= 27/6 - 10/6

= 17/6

--The question is incomplete, the complete question is as follows--

"In the triangle shown, for ∠A to be the largest angle of the triangle, it must be that m<x<n. What is the least possible value of n−m, expressed as a common fraction?"

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Measure wall height from floor to ceiling. Exclude baseboards and moldings. Measure length of each wall including doors and windows.

Walls. Use the basic formula of Length x Width = Area to determine the area of a wall. Then, using the same approach, calculate the individual area of windows and doors. After you’ve taken all of these measurements, deduct the area of the windows and doors from the overall wall area. Methods of longwall and shortwall Long walls are those that run the length of the room, whereas short walls are those that run perpendicular to the length of the room.

Next, consider which unit of measurement is most appropriate for measuring a wall. Very tiny units such as inches, centimeters, and millimeters can be ruled out. We can also eliminate.

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In mathematics, having an infinitely large amount or cardinality is referred to as having an infinity many.

Endless sets actually have an infinite number of components. If a set has continuity on both sides or is unbounded from start to finish, we can refer to it as infinite. For instance, the set of whole numbers W = 0, 1, 2, 3, etc. is an infinite set since it has an unlimited number of items. The set of real numbers is one of the uncountably infinite sets. Dots are used to symbolize the elements of an infinite set to denote the set's infinity.

There are some properties of infinite many solutions.

The superset of an infinite set is also infinite.

The subset of an infinite set may or may not be infinite.

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The area of the trapezoid is 210  squared '

The area of a trapezoid be be calculated using the formula:

A = 1/2(a+b)h

where:

a is the length of one of the parallel sides of the trapezoid

b is the length of the other parallel side of the trapezoid

h is height is the distance between the two parallel sides (perpendicular to the bases)

a = 12', b = 18 + 5 = 23' and h = √(13²-5²) = 12'

A = 1/2(a+b)h

A = 1/2(12+23)12

A = (35)6

A = 210  squared '

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Answer:

a. 12 sides

b. Not possible

Step-by-step explanation:

a.

[tex]d=\frac{1}{2} n(n-3)[/tex]

[tex]\frac{1}{2}n^{2}-\frac{3}{2} n=54[/tex]

multiply by 2

[tex]n^{2} -3n=108[/tex]

equation

[tex]n^{2} -3n-108=0[/tex]

factor

[tex](n-12)(n+9)[/tex]

[tex]n-12=0\\n=12[/tex]

b.

[tex]n^{2} -3n=33[/tex]

[tex]n^{2} -3n-33=0[/tex]

The roots of the equation are decimal numbers

The number of sides must be integer

So there is no polygon with 33 diagonals.

Hope this helps

The method that solves initial values problem by using sloped at two points is Heuns method.

Therefore the answer is B. Heuns method.

The Heun's method, also known as the improved Euler method, is a numerical method used to solve initial value problems for ordinary differential equations. It is a second-order method, which means that it uses the slope at two points (the starting point and one other point) to estimate the solution at a future point.

Heun's method is an explicit method which is an extension of the Euler method, by using the slope at the midpoint between the current and the next steps to improve the accuracy of the solution.

Euler method is a first-order method which estimates the solution at a future point by using the slope at one point only.

RK method is a family of methods that ranges from first-order to fourth-order method, but it uses a combination of the slopes at different points to estimate the solution.

Picard's method is a method of solving differential equations that is based on the idea of repeatedly applying a function to an initial value until a fixed point is reached. It's a method that does not use slopes.

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The power of two by which the height was divided is given as follows:

Tenth power of 2.

The power of two by which the height was divided is obtained applying the proportions in the context of this problem.

The equation that relates the heights and the scale factor is given as follows:

New height = Old height / Scale factor.

The parameters for this problem are given as follows:

Then the scale factor is obtained as follows:

Scale factor = 324/0.3

Scale factor = 1080.

The tenth power of 10 is given as follows:

2^10 = 1024.

Which is close to 1080, and hence the height was divided by the tenth power of 2.

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Answer: The answer is B

Step-by-step explanation:

4( the tip) +5 (# of family) * x( unknown cost of hot dog) = 29 (total)

Therefore , the solution of the given problem of triangle comes out to be area of triangle = 0.25 unit square.

Triangles are polygons because they have four sides or more. Its form is simple and geometric. An angle square with the letters ABC is known as a triangle. When the sides remain not collinear, Euclidean geometry generates a singular plane or square. Having three parts and three corners makes a triangle a polygon. The corners of a triangle are where the three sides meet. Angles in a triangle add up at 180 °.

Here,

Given:

So , the vertices are of unit length :

=> Area of triangle = 1/2 * b*h

=>  Area of triangle = 1/2 *  1 * 0.5

=>  Area of triangle = 0.25 unit square.

Therefore , the solution of the given problem of triangle comes out to be area of triangle = 0.25 unit square.

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Answer:

The two spaceships will meet in 4 hours.

Step-by-step explanation:

We can start solving the problem using the formula for distance, velocity, and time which is

Distance = Velocity x Time

Let x be the number of hours it will take for the two spaceships to meet.

The distance that the first spaceship travels is 110,000 x x km

The distance that the second spaceship travels is 90,000 x (x+1) km, since the second spaceship started 1 hour later.

The total distance that the spaceships travel is equal to the distance between the space stations, so we can set up the equation:

110,000x + 90,000(x+1) = 710,000

Solving for x, we can find that x = 4 hours.

So the two spaceships will meet in 4 hours.

The value weight of the can is 1 ounce

To subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less. The minuend, subtrahend, and difference are parts of a subtraction problem.

The total weight of the can and oil is 31 ounces .

When ½ of the the oil is poured the weight of the can and oil is 16 ounces.

Therefore the weight of ½ of oil is 31-16 = 15 ounces

if ½ of the oil weighs 15 ounces

full oil will weigh 15× 2 = 30 ounces

the weight of the can = 31-30 = 1ounce

Therefore the weight of the can is 1 ounce

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Answer:mm

Step-by-step explanation:

Answer:

Step-by-step explanation: 6 978 781 600

Mean has been affected most by the scores of these two students.

A bunch of scores is averaged to form the mean. The total scores were divided by the total scores. When population samples are tiny, the mean is susceptible to extreme scores.

When you add up all the individual scores and divide that total by the number of students, you obtain the mean, which is the arithmetic average score.

The average performance of a group of students on a test is represented by their mean scale score. A mean scale score is derived specifically by summing together the scores of each individual student and dividing that amount by the number of scores. It is additionally known as an average.

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The median of a trapezoid is parallel to the bases and equal in length to the average of their lengths. This is due to the midpoint theorem and the definition of the average.

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The correct statement is 3000 ml<4l

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Option 3 as 3000 ml<4 liters

we know that 1 liter=1000 ml

Thus 4 liters=4000 ml

Hence, Option C is the correct statement.

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Answer: P(not yellow) = 6/8

Step-by-step explanation:

It is correct 100%

Answer:

0.625 in decimal form