Please answer the question shown in the attachment.

Answer:

15cm

Step-by-step explanation:

© the envelope is 15cm rall.

Answer:

15cm

Step-by-step explanation:

√289-64

√225

15cm

Answer:

An equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y=mx+b

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

Given the line

6x+y=2

Simplifying the equation to write into the  slope-intercept form

y = -6x+2

So, the slope = -6

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be: -1/-6 = 1/6

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be

\(y-y_1=m\left(x-x_1\right)\)

substituting the values m = 1/6 and the point (6, -2)

\(y-\left(-2\right)=\frac{1}{6}\left(x-6\right)\)

\(y+2=\frac{1}{6}\left(x-6\right)\)

subtract 2 from both sides

\(y+2-2=\frac{1}{6}\left(x-6\right)-2\)

\(y=\frac{1}{6}x-3\)

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

Answer:

Simplest form of expression:

-3+2x

Answer:

2x - 3 (or) -3 + 2x

Step-by-step explanation:

Given equation,

→ (-+ 3) - 2 (-x)

The simplest form will be,

→ (-+ 3) - 2 (-x)

→ -3 + (-2 × -x)

→ -3 + 2x

→ 2x - 3

Thus, the answer is 2x - 3.

Answer:

i think -6 but idek

Step-by-step explanation:

Mean (X + Y) = Mean (X) + Mean (Y).

The above statement is false.

Discrete Random Variable:

A discrete random variable can be defined as a type of variable whose value depends on the numerical outcome of some random phenomenon. Also called a random variable. Discrete random variables are always easily countable integers. A probability mass function is used to describe the probability distribution of a discrete random variable.

Probability Distributions of Discrete Random Variables:

Probability distributions of discrete random variables list the probabilities associated with each possible outcome. Also called probability function or probability mass function.

The probability of a discrete random variable is between 0 and 1. Also, the sum of the probabilities of a discrete random variable is equal to 1. The probability distribution of discrete random variables resembles the normal distribution.

Example:

Suppose two dice are rolled and a random variable X is used to represent the sum of the numbers. The minimum value of X goes from result 1 + 1 = 2 to 2 and the maximum value goes from result 6 + 6 = 12 to 12. Therefore, X can have any value between 2 and 12 (inclusive). If probabilities are assigned to each outcome, we can determine the probability distribution of X.

Discrete random variables should not be confused with algebraic variables. Algebraic variables represent the values ​​of unknown quantities in computable algebraic equations. However, a discrete random variable can have a range of possible values ​​that result from experimentation.

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Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

The dimensions of the pool are 27 feet by 10 feet, and the area is indeed 270 square feet.

Let's assume that the width of the rectangular pool is x feet. According to the problem, the length of the pool is 7 feet more than twice the width, so we can write:

Length = 2x + 7

The area of a rectangle is given by the formula:

Area = Length x Width

Substituting the expression for length in terms of width in the above equation, we get:

Area = (2x + 7) x x

Simplifying the above equation, we get:

Area = 2x^2 + 7x

We are given that the area of the pool is 270 square feet. So, we can set up an equation:

2x^2 + 7x = 270

Rearranging the terms, we get a quadratic equation:

2x^2 + 7x - 270 = 0

We can solve this quadratic equation using the quadratic formula:

x = [-b ± sqrt(b^2 - 4ac)] / 2a

where a = 2, b = 7, and c = -270.

Solving this equation, we get two values of x: x = 10 and x = -13.5.

Since the width of the pool cannot be negative, we reject the value x = -13.5. Therefore, the width of the pool is 10 feet.

Using the expression for the length of the pool in terms of the width, we get:

Length = 2x + 7 = 2(10) + 7 = 27 feet

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The sampling distribution of statistics is the allocation of all matters of the statistic when all viable examples of the exact size n are taken from the exact people.

What is sampling distribution mean?

The group of averages drawn from all feasible random samples of a certain size (n) drawn from a particular population is referred to as the distribution of sample means.

A statistical probability distribution that results from selecting random samples from a specific population is referred to as a sampling distribution.

It depicts the distribution of frequencies on how dispersed various outcomes will be for a particular population and is also referred to as a finite-sample distribution.

To determine the sample distribution, you must know the population's standard deviation.

Divide the total number of observations in the sample by the sum of all the observations.

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The digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number,

A rational number is a number that can be expressed as a ratio or fraction of two integers (a numerator and a non-zero denominator).

We can see that the next three digits in the decimal points are 6, 6 and 6, respectively. Therefore, the decimal equivalent of 22/6 is:

22/6 = 3.666666...

We notice that the digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number, which means that its decimal representation either terminates (ends) or repeats in a pattern. In this case, it repeats in a pattern of 6's.

Each of the digits after the decimal point will be 6 because this number is a rational number and repeating decimal with a repeating digit of 6.

The difference between 40 and the product of these digits and 6 is always 4.

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\(\begin{array}{ccll} inches&hours\\ \cline{1-2} 5&10\\[1em] 3\frac{1}{4}&x \end{array}\implies \cfrac{5}{ ~~ 3\frac{1}{4} ~~ }=\cfrac{10}{x}\implies \cfrac{5}{~~ \frac{ 13 }{ 4 } ~~}=\cfrac{10}{x}\implies \cfrac{20}{13}=\cfrac{10}{x} \\\\\\ 20x=130\implies x=\cfrac{130}{20}\implies x=\cfrac{13}{2}\implies x=6\frac{1}{2}\)

Answer: 5

Step-by-step explanation:

Answer:

x = ±5i

General Formulas and Concepts:

Pre-Alg

Alg II

Step-by-step explanation:

Step 1: Define function

k(x) = -5x² - 125

Step 2: Find roots

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Answer:

The answer is 17

hope this helped and good luck on your test! :D

Step-by-step explanation:

Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.

Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.

Therefore, we can write the volume of the box as

:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.

Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:

527 = constant × dh/dt

We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:

V = l × w × hV = 17 × 10 × hV = 170h

We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:

527 = constant × 6 cm

constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get

-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min

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The graph of the function y = 1/3x - 2 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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Actual dimensions of the rectangular stamp is Length = 3.5cm and Width = 4.9cm

perimeter of a rectangle is the sum of the dimensions. This is the sum of the 2 lengths and the 2 widths

Given data

width of a rectangular stamp ( W ) = 1.40cm + L

L = length

perimeter of stamp after increment = 20.8cm

Perimeter p = 2 ( L + W )

20.8 =  2 ( L + 1 + W + 1 )

20.8 =  2 ( L + 1 + 1.4+ L + 1 )

20.8 =  2 ( 2L + 3.4 )

10.4 = ( 2L + 3.4 )

2L = 10.4 - 3.4

L = 7 / 2

L = 3.5cm

Therefore length of the stamp is 3.5 cm

Width of the stamp = 1.4 + L

W = 1.4 + 3.5

W = 4.9 cm

Actual dimensions of the rectangular stamp is Length = 3.5cm and Width = 4.9cm

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Answer: 5/8

Step-by-step explanation:

This fraction is talking about a whole, so 3/8 + x = 1.

Knowing this, we just do 1 - 3/8, which is 5/8.

Answer:

10. x ≈ 15,9

11. x ≈ 17,5

Step-by-step explanation:

10. Use the Pythagorean theorem:

\( {x}^{2} = {17}^{2} - {6}^{2} = 289 - 36 = 253\)

\(x > 0\)

\(x = \sqrt{253} ≈15.9\)

11.

\( {x}^{2} = {9}^{2} + {15}^{2} = 81 + 225 = 306\)

\(x > 0\)

\(x = \sqrt{306} ≈17.5\)

This prompt is about Parallel and Skewed Lines. With regard to the attached image:

A pair of skew lines are two lines that do not cross and do not share the same plane. Skew lines are lines that run in entirely opposite directions, similar to "random" lines.

Skew lines are lines that are in distinct planes and never parallel or meet. Parallel lines, on the other hand, are lines that are in the same plane but never meet. Parallel lines, in other words, must exist in two planes; they are parallel inside the same plane.

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The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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Answer:

\( \huge \boxed{x = \frac{y}{2} }\)

Answer:

2x=y

Step-by-step explanation:

Since x is half of y, 2x=y

Hope this helps :D

Answer:

\(A = 127.17\) square inch

Step-by-step explanation:

Square inches of space covered by rolling pin after one complete roll is equal to the outer surface area of cylinder.

As we know,

Surface area of Cylinder \(A=2\pi rh+2\pi r^2\\\)

Substituting the given values in above equation, we get -

\(A = (2*3.14*1.5*12) + (2 * 3.14*1.5^2)\\A = 113.04 + 14.13\\A = 127.17\)

\(A = 127.17\) square inch

Answer:that’s wrong

Step-by-step explanation:

Answer: meter

Step-by-step explanation:

Answer:

a) 0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

b) 0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

Step-by-step explanation:

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

To use the Poisson approximation for the binomial, we have that:

\(\mu = np\)

1 in every 2500 automobiles produced has a particular manufacturing defect.

This means that \(p = \frac{1}{2500} = 0.0004\)

a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars.

This is \(P(X = 4)\) when \(n = 7000\). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 4) = C_{7000,4}.(0.0004)^{4}.(0.9996)^{6996} = 0.1558\)

0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p.

Using the approximation:

\(\mu = np = 7000*0.0004 = 2.8\). So

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 4) = \frac{e^{-2.8}*(2.8)^{4}}{(4)!} = 0.1557\)

0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

Answer:

Step-by-step explanation:

Solve for π

Answer:

Step-by-step explanation:

V = 4 π r³

      3

solve for π

3*V = 4π r³

3V = π

4r³

therefore.

π = 3V

      4r³

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.