which of the following is true regarding data errors? a data error is always identified by a unique numerical value such as 9,999,999. data errors occur only when data are collected manually. any data that are determined to be outliers should be considered data errors and should be removed. identifying outliers in a data set can be helpful in uncovering data errors.

The probability that the marble drawn is not red is 8/10 or 4/5

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Probability = sample space / total possible outcome. If the probability that an event happen is 'x'. Then the probability that it does not happen is 1-x

Similarly the probability that a red marble is drawn is 2/10 , therefore the probability that a red marble is not drawn will be ;

1 - 2/10

= (10-2)/10

= 8/10 = 4/5

therefore the probability that a red marble is not drawn is 4/5

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Considering that angles A and C are equal, and the sum of the internal angles of a triangle is 180º, we have that:

The measure of angle A is of: 48º.

The measure of angle B is of: 84º.

The measure of angle C is of: 48º.

-----------------------------

\(6(x - 3) = 4(x + 1)\)

\(6x - 18 = 4x + 4\)

\(2x = 22\)

\(x = \frac{22}{2}\)

\(x = 11\)

\(6(11 - 3) = 6(8) = 48\)

The measure of angle A is of: 48º.

The measure of angle C is of: 48º.

The sum of the internal angles of a triangle is of 180º, and this is used to find the measure of angle B.

\(mA + mB + mC = 180\)

\(2(48) + mB = 180\)

\(mB = 84\)

The measure of angle B is of: 84º.

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Answer:490

Step-by-step explanation:15 times 22 +120=490

Answer:

Step-by-step explanation:

Since,

It's a rectangle so it will be formed on the coordinate which is 3units above dot(3,5) in picture where above the dot there is no point .

The solution to Laplace's equation with the given boundary conditions is: u(x,y) = (f(y)/2)x + (1/π)∑[n=1 to ∞] [(f(y)-f(0))(1-cos(nπx/2))/\(n^2\)cos(nπ/2)]

The Laplace's equation uxx + uyy = 0 is a partial differential equation that describes a steady-state temperature distribution or electrostatic potential in a 2D region. The given boundary conditions specify that u(0,y) = 0 and u(2,y) = f(y), where f(y) is a given function. These conditions indicate that the solution is a function of x and y, and that the value of u is fixed on the boundaries.

To find the solution, we use separation of variables and assume that u(x,y) = X(x)Y(y). This leads to the equation X''/X = -Y''/Y = λ, where λ is a constant. The boundary conditions imply that X(0) = 0 and X(2) = 1, and the general solution is X(x) = (1/π)∑[n=1 to ∞] \(sin(nx\pi /2)cos(n\pi /2)ex^{-n^{2}\pi ^{2}y/4 }\)).To determine Y(y), we use the boundary condition u(2,y) = f(y), which gives Y(y) = f(y)/(2X(2)). Substituting X(x) and Y(y) into the general solution for u(x,y), we obtain:

u(x,y) = (f(y)/2)x + (1/π)∑[n=1 to ∞] [(f(y)-f(0))(1-cos(nπx/2))/\(n^2\)cos(nπ/2)]

This is the final solution to Laplace's equation with the given boundary conditions. It describes the temperature or potential distribution in the 2D region, and depends on the function f(y) and the Fourier series coefficients of X(x). The solution satisfies the Laplace's equation and the boundary conditions, and is unique up to a constant.

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1 pound of jelly beans cost $1.75

1 pound of almonds cost $2.75

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

From the table,

We can make two equations:

Cost of jelly beans = x

Cost of almonds = y

First purchased:

9x + 7y = 37

Second purchased:

3x + 5y = 17

Now,

9x + 7y = 37 _____(1)

3x + 5y = 17 ______(2)

Using the elimination method.

Multiply 3 into (2).

9x + 7y = 37

9x + 15y = 51

(-)     (-)      (-)

       -8y = -14

           y = 14/8

           y = 7/4 = 1.75

And,

9x + 7y = 37

9x + 7 x 1.75 = 37

9x + 12.25 = 37

9x = 37 - 12.25

9x = 24.75

x = 2.75

Thus,

Cost of 1 pound of jelly beans = $1.75

Cost of 1 pound of almonds  = $2.75

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Wheelchair ramps must have a slope no steeper than 1/12, according to the Americans with Disabilities Act.

"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."

We always count the unit or amount value first and then calculate the more or less amount value.

For this reason  this procedure is called a unified procedure.

Many set values ​​are found by multiplying the set value by the number of sets.

A set value is obtained by dividing many set values ​​by the number of sets.  

Hence, Wheelchair ramps must have a slope no steeper than 1/12, according to the Americans with Disabilities Act.

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Answer:

A. 150

Step-by-step explanation:

Calculate the probability of landing on an odd number: 1/2.

Multiply the probability by the number of trials: (1/2) * 300.

Simplify the expression: 150.

Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.

Answer:

17/24

Step-by-step explanation:

hope this helped:)

Answer: i think it is 17/24

Step-by-step explanation:

The correct answer is c) Stratified random sampling

Stratified random sampling is being used in this scenario. In stratified random sampling, the population is divided into distinct subgroups or strata based on certain characteristics. In this case, the subscribers are divided into three groups based on age: under 35, between 35-64, and 65 or over.

By selecting 200 subscribers from each age group, the magazine ensures representation from each subgroup in the final sample. This method allows for comparisons and analysis within each age group while maintaining a proportional representation of the population.

Stratified random sampling is often preferred when the population has distinct subgroups that may differ in important ways. It helps ensure that each subgroup is adequately represented in the sample, leading to more accurate and reliable conclusions about the entire population.

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x = ㏑₂8 in the logarithmic function.

A logarithmic function is the inverse of an exponential function.

Given  function if f(x) = \(2^{x}\),

When strength is equal to 8 pascals, f(x) = 8

Therefore, 8 = \(2^{x}\)

Taking log on both sides:

                 ln8 = ln\(2^{x}\)

                 ln8 = xln2

       or         x  = ln8/ln2

                    x = ㏑₂8

Hence, the required function is x = ㏑₂8.

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Answer:

n is less than or equal to 26

Step-by-step explanation:

I'm guessing you're asking for the inequality, and since a number (n) cannot be more than 26, it has to be less.

The question never said that n can't be 26, and it only said it can't be MORE than 26, so it's less than or equal to 26, so that's what I'm thinking

one possible 3x3 matrix A such that [1, -1, -1] is an eigenvector with eigenvalue 1 is:

A = [1  -1  -1]

   [-1  -1  -1]

   [-1  -1  -1]

To construct a 3x3 matrix A such that the vector [1, -1, -1] is an eigenvector with eigenvalue 1, we can set up the matrix as follows:

A = [1   *   *]

   [-1  *   *]

   [-1  *   *]

Here, the entries denoted by "*" can be any real numbers. We need to determine the remaining entries such that [1, -1, -1] becomes an eigenvector with eigenvalue 1.

To find the corresponding eigenvalues, we can solve the following equation:

A * [1, -1, -1] = λ * [1, -1, -1]

Expanding the matrix multiplication, we have:

[1*1 + *(-1) + *(-1)] = λ * 1

[-1*1 + *(-1) + *(-1)] = λ * (-1)

[-1*1 + *(-1) + *(-1)] = λ * (-1)

Simplifying, we get:

1 - * - * = λ

-1 - * - * = -λ

-1 - * - * = -λ

From the second and third equations, we can see that the entries "-1 - * - *" must be equal to zero, to satisfy the equation. We can choose any values for "*" as long as "-1 - * - *" equals zero.

For example, let's choose "* = -1". Substituting this value, the matrix A becomes:

A = [1  -1  -1]

   [-1  -1  -1]

   [-1  -1  -1]

Now, let's check if [1, -1, -1] is an eigenvector with eigenvalue 1 by performing the matrix-vector multiplication:

A * [1, -1, -1] = [1*(-1) + (-1)*(-1) + (-1)*(-1), (-1)*(-1) + (-1)*(-1) + (-1)*(-1), (-1)*(-1) + (-1)*(-1) + (-1)*(-1)]

Simplifying, we get:

[-1 + 1 + 1, 1 + 1 + 1, 1 + 1 + 1]

[1, 3, 3]

This result matches the vector [1, -1, -1] scaled by the eigenvalue 1, confirming that [1, -1, -1] is an eigenvector of A with eigenvalue 1.

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The percent of decrease from 100 to 42 is 58%

As evident from the task content; the percentage decrease which connotes a decrease from 100 to 42 is to be determined.

Recall that the percentage decrease can be determined by the formula;

Percent decrease = Original value - New value / original value × 100

Original value = 100

New value = 42

So,

Percent decrease = Original value - New value / original value × 100

= (100 - 42) / 100 × 100

= 58 / 100 × 100

= 0.58 × 100

= 58%

Ultimately, the percentage decrease from 100 to 42 as required to be determined is; 58%.

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Answer:

See Below.

Step-by-step explanation:

Please refer to the attachment below.

In order to complete the proof, we create a new segment DE that extends from D and is equal to AD. The endpoint of DE will be connected to B.

Statements:                                             Reasons:

\(1)\text{ } AD\text{ bisects } CB\)                                     Given

\(2)\text{ } CD=DB\)                                            Definition of Bisector

\(3)\text{ } AE=DE\)                                            Given

\(4)\text{ } \angle ADC \cong \angle EDB\)                                 Vertical Angles are Congruent

\(5)\text{ } \Delta ADC\cong \Delta EDB\)                                SAS Congruence

\(6)\text{ } \angle BED\cong \angle CAD\)                                CPCTC

\(7)\text{ } AD\text{ bisects } \angle A\)                                    Given

\(8)\text{ } \angle CAD\cong \angle BAD\)                                 Definition of Congruence

\(9)\text{ } \angle BED\cong\angle BAD\)                                 Substitute

\(10)\text{ } BE=BA\)                                          Isosceles Triangle Theorem

\(11) \text{ } BE=CA\)                                          CPCTC

\(12)\text{ } CA=BA\)                                          Substitute

\(13)\text{ } \Delta ABC\text{ is isosceles}\)                             Isosceles Triangle Definition

Answer:

this is your answer look it once.thank you.

Given:

\(8x^3+20x^2+36\) divided by \((2x+6)\).

To find:

The quotient by using long division method.

Solution:

We have,

Dividend = \(8x^3+20x^2+36\)

Divisor = \((2x+6)\)

Using long division method we get

\(\underline{2x+6}|\overline{8x^3+20x^2+0x+36}|\underline{4x^2-2x+6}\)

          \(\underline{8x^3+24x^2}\)

                   \(-4x^2+0x\)                                 (After subtraction)

                  \(\underline{-4x^2-12x}\)

                             \(12x+36\)                          (After subtraction)

                             \(\underline{12x+36}\)

                                \(\underline{\quad 0\quad }\)                           (After subtraction)

The quotient is \(4x^2-2x+6\).

Therefore, the correct option is C.

Answer:

f(x)=5x²+2x-5,G(x) =7x+8,H(x)=4x²-10

Answer:

hope this helps

Step-by-step explanation:

a. 1/4 as a power of 2 = root 4 v/2

b.

Radium-226 mass decays to 1/4 of it mass every 6400 years

64gr ( 1/4) = 16gr ----→after 6400 years its mass is 16gr

now its current mass is 16gr

16gr (1/4) = 4gr -----> after another 6400 years its mass is 4gr

again, its current mass after 12800 years is 4gr

4gr (1/4) = 1gr ------> after another 6400 years its mass is 1gr

why 4600 3 times? = 4600+4600+4600 = 19200 years

the remaining mass after 19200 years is 1gr

Answer:

Area of Triangle is 225 cm^2

Step-by-step explanation:

Let height of triangle be h

Let the base of triangle be b

It is given that the sum of base and height is 45

b + h = 45  ---------(1)

It is also given that the height is twice of base

2b = h ---------------(2)

by substituting (2) in (1)

b + 2b = 45

3b = 45

b = 15 cm

15 + h = 45

h = 30 cm

Area of triangle is given as

1/2 x b x h

= 1/2 x 15 x 30

= 225 cm^2

The probability of the following are

a) The employee is a stock clerk or married is 17/89

b) The employee is a stock clerk given that he is married is 8/19

c) The employee is not single given that she/he is a cashier or a deli personnel is 14/47

d)) The value of PI( MD) ( EN) is 8/89

e) The employee is net divorced given that she/he is not a stock clerk is 19/50

a) The first question asks us to find the probability that an employee is a stock clerk or married. To do this, we need to add the number of stock clerks and the number of married employees and subtract the number of employees that are both stock clerks and married, since we do not want to count them twice. Thus, the probability of selecting an employee who is either a stock clerk or married is:

P(stock clerk or married) = (11+8-2)/89 = 17/89

b) The second question asks us to find the probability of selecting a stock clerk given that the employee is married. This is an example of a conditional probability, which is the probability of an event given that another event has occurred. To calculate this probability, we need to divide the number of married stock clerks by the total number of married employees:

P(stock clerk | married) = 8/19

c) The third question asks us to find the probability that an employee is not single given that he or she is a cashier or a deli personnel. This is another example of a conditional probability. To calculate this probability, we need to find the number of employees who are cashiers or deli personnel but not single, and divide this by the total number of cashiers and deli personnel:

P(not single | cashier or deli) = (8+2+4)/47 = 14/47

d) The fourth question asks us to find the joint probability of an employee being either married and divorced, or employed as delivery personnel and security personnel. We can calculate this probability by adding the number of employees in the two categories and dividing by the total number of employees:

P(MD or EN) = (5+3)/89 = 8/89

e) The fifth question asks us to find the probability of an employee not being divorced given that he or she is not a stock clerk. We can find this probability by subtracting the number of non-divorced employees who are stock clerks from the total number of non-stock clerk employees, and dividing by the total number of non-stock clerk employees:

P(not divorced | not stock clerk) = (12+1+2+4)/50 = 19/50

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Answer: 4 pt= 8c

             28 qt= 7 gal

Step-by-step explanation: To convert from pints to cups, multiply by 2. To convert from quarts to gallons, divide by 4.

Answer:

4pt = 8 c

28 qt = 7 gal

Step-by-step explanation:

There is 2 c each pt and 4 qt each gallon so by knowing this we get the answer.

Answer:

Triangle ABC and triangle MNO are congruent. A Rotation is a single rigid transformation that maps the two congruent triangles.

Step-by-step explanation:

ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).

ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).

Therefore:

and ΔABC ≅ ΔMNO by SSS postulate.

In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

The area of the square is 1/4inches² in square inches

The area of a square is calculated by multiplying its two sides, that is area = s × s, where, 's' is one side of the square.

The square has side of length = 6/12

this can be simplified as 1/2

so

area of the square = (1/2 × 1/2) inches ²

area of the square = 1/4inches²

Thus, the area of the square is calculated using area = s × s, as 1/4inches²

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The upper bound is 1842 and lower bound is 1692. By using these boundaries and t-table, the sample mean is 1767 and sample standard deviation = 133.98.

Here, the two boundaries are 1692 and 1842.

Mean = (1692+1842) /2 = 1767

Here the degree of freedom, df = (n-1) = 25-1 =24

Margin of error = (1842-1692)/2 = 75

Confidence level = 99%

From the t table, value of T with confidence level 99% and df= 24 is 2.80

The equation for margin of error is M = Ts/√n

            M= 75 , T= 2.80, n =25

75 = (2.80 × s) / √25

75 = 2.80s/ 5

s = (75×5)/2.80 = 133.928 = 133.93

So the sample mean is 1767 and the standard deviation is 133.93.

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Answer:

Moira =13 years, Morag =10 years, Muriel =18 years

Step-by-step explanation:

Moira =x

Morag =y

Muriel =z

x=y+3=>y=x-3

x=z-5=>z=x+5

=>

x+x-3 +x +5 =41

3x=41 - 5 +3

3x=39

x=39 :3

x=13 (Moira is 13 years)

y=13-3 =10 (Morag is 10 years)

z=13 +5 =18 (Muriel is 18 years)

Answer:

It’s c

Step-by-step explanation:

I just did it in edg

The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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Notice that

(1 - x)⁵ (1 + 1/x)⁵ = ((1 - x) (1 + 1/x))⁵ = (1 - x + 1/x - 1)⁵ = (1/x - x)⁵

Recall the binomial theorem:

\(\displaystyle(a+b)^n = \sum_{k=0}^n\binom nk a^{n-k}b^k\)

Let a = 1/x, b = -x, and n = 5. Then

\(\displaystyle\left(\frac1x-x\right)^5 = \sum_{k=0}^5\binom5k\left(\frac1x\right)^{5-k}(-x)^k = \sum_{k=0}^5 (-1)^k\binom5k x^{2k-5}\)

We get an x ³ term for

2k - 5 = 3   ==>   2k = 8   ==>   k = 4

so that the coefficient would be

\((-1)^4\dbinom54 = \boxed{5}\)