Write down the next two numbers in each of the following sequences. 40 POINTS

a) 0.04,0.1,0.16, __ , __
b)3,9,27 , __,__
c)0.3,1/3,11/30,__,__

The true statement is Grade 7 students from School A are typically shorter than grade 7 students from School B because of the difference in the medians of grade 7 student heights at the schools. (option D)

A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. the two lines are known as whiskers.

The end of the first line represents the minimum number and the end of the second line represents the maximum number.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

Median for School A = 57

Median for School B = 61

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[tex]direct \: variation \: lines \: pass \: through \: the \: origin[/tex]

the total volume of the chimney is:

V =456 in^3

Remember that the volume of a rectangular prism of dimensions L, W, and H is:

V = L*W*H

If you look at the image of the chimney (bottom right image) you can see that the figure can be viewed as 2 rectangular prisms, one smaller of dimensions:

4in x 12in x 9 in

Then the volume of the larger part is:

V = (4in)*(12in)*(9in) = 432 in^3

The smaller prism has dimensions:

of (6in - 4in) = 2in x 3in x 4in

Then the volume is:

V = (2in)*(3in)*(4in) = 24 in^3

Then the total volume of the chimney is:

V = 432 in^3 +  24 in^3 = 456 in^3

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1. The 100 prisoner experiment: 100 prisoners are about to be executed (you can use paper stick figures to model 100 prisoners, or you can do about 10), but the warden has agreed to allow all prisoners to be commuted to a 6-month sentence if they can pass one game. The game states that 100 pieces of paper with each of the prisoner's numbers are to be randomly shuffled into boxes that have random prisoner's numbers (where the number on the paper does not match the number on the boxes.) Each prisoner is allowed to open 50 boxes to find their number such that they have a [tex]\frac{1}{2}[/tex] chance of finding their number. If you find your number, you are cleared to another room to wait. If you don't, then you've messed up huge. If even one prisoner does not find their number, all the prisoners die. If all of the prisoners find their numbers, they all get 6-month sentences instead. The chance of all the prisoners randomly finding their numbers is [tex](\frac{1}{2})^{100}[/tex], which is about a 0.0000000000000000000000000000008% chance. 30 zeros after the decimal placement. For reference, two people have a better chance of picking up the same grain of sand from any of the beaches in the world than finding their numbers randomly.

The Vickrey Auction can be modeled into an experiment by testing people's psychological thinking. You can do this with any of your friends. In a Vickrey auction, you put your bids into a closed letter. For an item, the highest bidder wins the auction, but does not pay what he or she put their bid under in the auction, but rather pays what the second bidder had bidded. It teaches people to be more honest, because if you bid the highest and win, you pay the second-highest bidder's payment, which could also be almost equally as high and could cost you a fortune for an undervalued item.

Another great experiment you can do is to measure the different unsynchronizations of analog clocks that are not close together. Scientists have measured atomic clocks that are just a millimeter apart that start ticking in different measures.

2. I select the 100-prisoner experiment.

3. A curved graph like -x^2 would fit perfectly.

4. A quadratic function would fit my experiment the best. The best graph to use would be [tex]y = -x^2[/tex]. An equation with a large curve would be the best for this type of experiment to graph success and failure. More than three quarters of my graph wouls be full of failure and maybe a little more than 10% would be full of success if repeated over 100,000 times. I am not too sure though.

Descriptive statistics summarize numbers and inferential statistics determine whether the results are significant.

What is statistics?

The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

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Answer:

When the data are nominal or ordinal.

Step-by-step explanation:

Spearman's correlation

Spearman's correlation measures the strength and direction of monotonic association between two variables.

Monotonicity is "less restrictive" than that of a linear relationship.

For example, the middle image above shows a relationship that is monotonic, but not linear.

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The data exists nominal or ordinal. Spearman's correlation estimates the strength and direction of the monotonic relationship between two variables.

a) Pearson correlation

b) Kendall rank correlation

c) Spearman correlation

d) Point-Biserial correlation.

The data exists nominal or ordinal. Spearman's correlation estimates the strength and direction of the monotonic relationship between two variables.

Monotonicity exists as "less restrictive" than that of a linear relationship.

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The probability that exactly 12 of them are strikes is 0.09.

In this question,

Number of pitches, n = 22

Probability of throwing a strike for each pitch, p = 0.431

Then, q = 1 - p

⇒ q = 1 - 0.431

⇒ q = 0.569

Number of strikes, x = 12

The probability that exactly 12 of them are strikes can be calculated using Binomial expansion,

[tex]P(X=x)=nC_xP^{x}q^{(n-x)}[/tex]

⇒ [tex]P(X=12)=22C_{12}(0.431)^{12}(0.569)^{(22-12)}[/tex]

⇒ [tex]P(X=12)=22C_{12}(0.431)^{12}(0.569)^{10}[/tex]

⇒ [tex]P(X=12)=(\frac{22!}{12!10!} )(0.431)^{12}(0.569)^{10}[/tex]

⇒ P(X=12) = (646646)(0.000041)(0.00355)

⇒ P(X=12) = 0.09431 ≈ 0.09

Hence we can conclude that the probability that exactly 12 of them are strikes is 0.09.

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Answer:

The pair of shoes equal 18.

The boat equals 3

The chair equals 4

Step-by-step explanation:

Let x = shoes

You found the palm trees!

So the top picture would be

18 + x = 2x  Subtract x from both sides

18 = x  We found the value of the shoes.

Let's go so the last picture.  We now know the shoes.

Let x = the boat now

18 = 6x  Divide both sides by 6

x = 3  We found the value of the boat.

Finally, let's look at the second picture.

Let x = the chair now

3 + x = 7  Subtract 3 from both sides

x = 4  We found the value of the chair.

The solutions to the system of equations involving quadratic function f(x) and linear function g(x) are (-1,5) and (4/3,29/3), respectively.

To find the solution to the given system of equations:

Given quadratic equation: f(x) = 3x^2 + x + 3

The two point formula is: y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁)

We take the points g(2) = 11, g(1) = 9

g(x) - g(1) = ((g(2)-g(1))/(2-1))*(x-1)

or, g(x) - 9 = ((11-9)/(2-1))*(x-1)

or, g(x) - 9 = 2(x-1)

or, g(x) = 2x - 2 + 9 = 2x + 7

g(x) = 2x +7, is the linear function g(x)

We are asked to solve the system of equations f(x) and g(x).

To get the solution, we must first determine what is the common solution to both f(x) and g(x).

For that, we equate f(x) and g(x).

3x² + x + 3 = 2x + 7

or, 3x² - x - 4 = 0

or, 3x² + 3x - 4x - 4 = 0

or, 3x(x+1) -4(x+1) = 0

or, (3x-4)(x+1) = 0

∴ Either 3x-4=0 ⇒ x = 4/3

or, x+1=0 ⇒ x = -1.

g(-1) = 5 (from the table)

f(-1) = 3(-1)² + (-1) + 3 = 3 - 1 + 3 = 5

g(4/3) = 2(4/3) + 7 = 8/3 + 21/3 = 29/3

f(4/3) = 3*(4/3)² + (4/3) + 3 = 16/3 + 4/3 + 9/3 = 29/3

∴ f(-1) = g(-1) and f(4/3) = g(4/3).

Therefore, the solution to the system of equations that includes quadratic function f(x) and linear function g(x) is (-1,5) and (4/3,29/3).

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The correct question is given below:

What is a solution to the system of equations that includes quadratic function f(x) and linear function g(x)?

f(x) = 3x^2 + x + 3

A correlation is a causative association between two or more variables, whereas an autocorrelation is a correlation of variables in successive ranges.

A correlation is defined as a causative association between two or more variables (different variables), which can be used to make predictions about a given outcome.

The correlation coefficient enables the estimation of this association between different variables.

Moreover, an autocorrelation is a  special type of correlation between variables that can be found in successive ranges (e.g. range time intervals).

In conclusion, a correlation is a causative association between two or more variables, whereas an autocorrelation is a correlation of variables in successive ranges.

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The graph of f(x) = x + 3 and g(x) = x is sketched using the geogebra tool. The way of determining the graph of f(x) + g(x) is by adding the y-coordinate of g(x) to the y-coordinate of f(x).

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

The graph of f(x) = x + 3 and g(x) = x is sketched using the geogebra tool. The way of determining the graph of f(x) + g(x) is by adding the y-coordinate of g(x) to the y-coordinate of f(x).

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we conclude that the distance to the other side is 467 feet.

We know that the width of the river is 602ft. This means that the distance from shore to shore is 602 feet.

If the boy is at a distance of 135 from the shore, then the distance to the other side is given by the difference:

d = 602ft - 135ft = 467ft

Then, we conclude that the distance to the other side is 467 feet.

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Using Chebyshev's Theorem, we are guaranteed to find at least 75% of the people earning hourly wages between $4.15 and $23.23.

When the distribution is not normal, Chebyshev's Theorem is used. It states that:

In this problem, we want the values within 2 standard deviations of the mean, hence the values are:

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Answer:

182,156.8

Step-by-step explanation:

214 x 912 x 14 = 2,732,352

1/15 of that Volume is 182,156.8

P.S. I'm assuming you meant 1/15, when you said the volume was 15 of

Follow my gram it's Greyhasnoshame

Answer:

x + y = 7

Explanation:

slope formula:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Find slope: given points: E(4, 3), F(6, 1)

[tex]\sf slope \ (m) : \dfrac{1-3}{6-4} = -1[/tex]

Find Equation: [tex]y - y_1 = m(x -x_1)[/tex]

[tex]\sf y - 3 = -1(x - 4)[/tex]

[tex]\sf y = -x + 4 + 3[/tex]

[tex]\sf y = -x + 7[/tex]

[tex]\sf x + y = 7 \quad (in \ standard \ form \ \rightarrow Ax + By = C)[/tex]

Slope of the line

Equation in point slope form

Answer:

The answer is cot(x)

Step-by-step explanation:

[tex] \tan(x) \csc {}^{2} (x) - \tan(x) [/tex]

Rewrite using trig identity

[tex] - \tan(x) + \csc {}^{2} (x) \tan(x) [/tex]

use the Pythagorean idea

[tex] \csc {}^{2} (x) = 1 + \cot {}^{2} (x) [/tex]

[tex] - \tan(x) + (1 + \cot {}^{2} (x)) \tan(x) [/tex]

simplify

[tex] \cot {}^{2} (x) \tan(x) [/tex]

use basic trigonometric identity

[tex] \tan(x ) = \frac{1}{ \cot(x) } [/tex]

simplify

[tex] \cot {}^{2} (x) \frac{1}{ \cot(x) } [/tex]

gives you

[tex] \cot(x) [/tex]

Hope it helps!

The function  R(x) + S(x) exists given by [tex]3x^3+6x^2+x+1[/tex].

An expression, rule, or law that describes a relationship between one variable (independent variable) and another variable (dependent variable) exists named a function.

Let the functions be [tex]R(x)=3x^3+2x^2+x[/tex] and [tex]S(x)=4x^2+1.[/tex]

Adding both of the equations, we get

[tex]$R(x)+S(x)=(3x^3+2x^2+x) +(4x^2+1)[/tex]

simplifying both of the equations we get

[tex]$R(x)+S(x)=3x^3+2x^2+x+4x^2+1[/tex]

[tex]=3x^3+6x^2+x+1[/tex]

Therefore, the function  R(x) + S(x) exists given by [tex]3x^3+6x^2+x+1[/tex].

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Answer:

-2

Step-by-step explanation:

See attachment

Answer: Friday

Step-by-step explanation:

The answer is True.

On differentiating using product rule,

[tex]\mathsf {\frac{d}{dx}[xe^{x}] = x(e^{x})+e^{x}(1)}[/tex]

[tex]\mathsf {\frac{d}{dx}[xe^{x}] = e^{x}(x + 1)}[/tex]

The general form of product rule :

[tex]\boxed {\frac{d}{dx}(ab) = a(b')+b(a')}[/tex]

[tex]

\sin^{-1} \left(-\frac{1}{2} \right)=-\sin^{-1} \left(\frac{1}{2} \right)=\boxed{-\frac{\pi}{6}}[/tex]

[tex]\begin{array}{cccccccccccc} &&&&&&&&&\downarrow &&\downarrow \\ value&\stackrel{1^3+1}{2}&&\stackrel{2^3+1}{9}&&\stackrel{3^3+1}{28}&&\stackrel{4^3 + 1}{65}&&\stackrel{5^3 + 1}{126}&&\stackrel{6^3 + 1}{217} \\\cline{1-12} term&1&&2&&3&&4&&5&&6 \end{array}[/tex]

Answer:

Given is radius of circle that is 5.2, you just need to find the area of the circle.

To find the are of circle is A=πr2

π value is 3.14 and radius value is 5.2 you just need to square the 5.2, answer will come 27.04

now multiply the πr and 27.04.

the answer will come 84.9 and question says to round to the nearest tenth, that will be 85.

Rounding to the nearest tenth, the surface area of the circle with a 5.2 cm radius is approximately 84.8 cm².

The surface area of a circle can be calculated using the formula:

Surface Area = π * radius²

where π (pi) is a mathematical constant approximately equal to 3.14159, and the radius is the distance from the center of the circle to any point on its edge.

Given the radius is 5.2 cm, we can now calculate the surface area:

Surface Area = 3.14159 * (5.2 cm)²

Surface Area = 3.14159 * 27.04 cm²

Surface Area ≈ 84.823 cm²

The surface area represents the total area of the circle's two-dimensional space. In this case, it gives us the total area of the circular region with a 5.2 cm radius.

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The correct option regarding the data-sets represented by the box and whisker plots is:

B. The distribution for town A is positively skewed, but the distribution for town B is symmetric.

A box and whisker plot shows three things:

For data-set A, we have that:

Since 30 - 20 > 20 - 15, the distribution is positively skewed.

For data-set B, we have that:

Since 40 - 30 = 30 - 20, the distribution is symmetric.

Hence the correct option is:

B. The distribution for town A is positively skewed, but the distribution for town B is symmetric.

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Answer:

probability of the personal information on the direction of the personal information to my house

Answer:

x<-3 or -3<x<-1 or x>-1

Step-by-step explanation:

Domain - The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

\mathrm{Domain\:of\:}\:\frac{1}{x^2+4x+3}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-3\quad \mathrm{or}\quad \:-3<x<-1\quad \mathrm{or}\quad \:x>-1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-3\right)\cup \left(-3,\:-1\right)\cup \left(-1,\:\infty \:\right)\end{bmatrix}

The equation to represent the given scenario is a=b-5 and the age of Ana is 18 years when her sister Beatriz is 23 year old.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Ana is 5 years younger than her sister, Beatriz

1) Let the age of Ana be a and the age of Beatriz be b

Now, a=b-5

2) Beatriz is 23 years old

Substitute b=23 in the equation a=b-5, we get

a=18 years

Therefore, the age of Ana is 18 years when her sister Beatriz is 23 year old.

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"Your question is incomplete, probably the complete question/missing part is:"

Ana is 5 years younger than her sister, Beatriz.

1. Write an equation that represents how old Ana is (a) when Beatriz is b years old.

2. How old is Ana when Beatriz is 23 years old?

[tex]5th \: row = 1 \: \: \: 5 \: \: \: 10 \: \: \: 10 \: \: \: 5 \: \: \: 1[/tex]

[tex](x - 4) {}^{5} = x {}^{5} + 5x {}^{4} ( - 4) {}^{1} + 10x {}^{3} ( - 4) {}^{2} + 10x {}^{2} ( - 4) {}^{3} + 5x( - 4) {}^{4} + ( - 4) {}^{5} [/tex]

[tex](x - 4) {}^{5} = x {}^{5} - 20x {}^{4} + 160x {}^{3} - 640x {}^{2} + 1280x - 1024[/tex]