Identify the scale factor.

Photograph: height 3 inches

Painting: height 24 inches

Answer:

range = 6

Step-by-step explanation:

the range is the difference between the maximum and minimum values in the data set.

maximum = 8 and minimum = 2 , then

range = 8 - 2 = 6

Answer:2(8x-5)

Hope this helps!

The equation which represents the measure of the unknown angles is x + x + 10 =130. Hence, option C is correct.

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the data given in the question,

As per the rules, the sum of the three sides of a triangle is 180°.

The angles are x, x+10, and 50.

Now,

x + x + 10 + 50 = 180

x + x + 10 = 180 - 50

x + x + 10 = 130°.

Therefore, the equation option above is the correct answer.

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The lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches.

To find the total length of the two boards, you need to add their individual lengths together.

Step 1: Identify the length of each board. The first board is 234 inches long, and the second board is 246 inches long.

Step 2: Add the lengths of the boards together.

234 (length of first board) + 246 (length of second board) = 480

So, the total length of the two boards on the shelf is 480 inches. This means that if you were to place the two boards end-to-end, they would cover a distance of 480 inches.

In summary, by identifying the lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches. This calculation helps us understand the total amount of space the boards would occupy if placed side by side.

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The maximum value of the data is given as follows:

75.

A box and whisker plot shows these five metrics from a data-set, listed and explained as follows:

The maximum value on the box plot is the end of the plot, hence it is of 75.

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The volume of a rectangular prism is calculated by multiplying the length, width, and height. In this case, we are given the length and width, but not the height. So, we cannot calculate the exact volume without knowing the height.

To find the volume of a rectangular prism, we need to multiply its length, width, and height.

Given:

Length = 2 units

Width = 7 1/3 units

To calculate the volume, we first need to convert the mixed fraction to an improper fraction.

7 1/3 = (7 * 3 + 1) / 3 = 22/3 units.

Now, we can calculate the volume:

Volume = Length * Width * Height

= 2 units * (22/3 units) * Height.

Since the height is not provided, we cannot calculate the exact volume without that information. However, if you provide the height of the rectangular prism, I can help you find the volume by substituting the value into the formula.

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Answer:

y = 0

Step-by-step explanation:

-√ x - 10 + 11

-√ 1 - 10 + 11

-1 - 10 + 11

-11 + 11

If x = 1 then y(output) = 0

sorry if it's wrong.

ANSWER :

The height of the prism is h = 7 ft

The are of the base is B = 12 ft^2

The perimeter of the base is P = 18 ft

Fill in the formula. S = 2x12 + 18x7

The surface area of the triangular prism is 150 ft^2

EXPLANATION :

The given formula for the surface area is :

where B = Base area

P = perimeter of the bases

h = height of the prism

The height of the prism is h = 7 ft

The base is a triangle with dimensions of b = 8 ft and a height h = 3 ft

The area of a triangle is :

The are of the base is B = 12 ft^2

The perimeter of the base is 5 + 5 + 8 = 18 ft, so P = 18 ft

Substitute the results in the formula :

Answer: 7^3/7^6= 1/343

Step-by-step explanation: We move 7^-6 to a denominator because we cannot have a negative exponent in the numerator.

So it would be 7^3/7^6

Which then would be 7*7*7/7*7*7*7*7*7

Which would equal 343/117649

Simplify and you get 1/343

The next expression value of x is 3.

The given values in the exercise are as follows:

x = 1y = 2y' = 4

The step size is δx = 2

We use the following Euler's integration formula to determine the next values of x and y:

y_(n+1)=y_n+ δx*f(x_n,y_n)

Wherey_n denotes the current value of yx_n denotes the current value of xx_(n+1) denotes the next value of x.

The given DEQ is:

y'= f(x,y)

We can determine the next value of y using Euler's integration formula as follows:

y_(n+1)

=y_n+ δx*f(x_n,y_n)

Given the values of x, y, and y', we can determine the next value of y as follows:

y_1

= y + δx*f(x,y)y_1

= 2 + 2(4)y_1= 10

Thus, the next value of y is 10. We can determine the next value of x as follows:

x_1 = x + δx_1

=1 + 2x_1= 3

Thus, the next value of x is 3.

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The differential equation given is y'=f(x,y). The next values of x and y are x = 3 and y = 10.

Euler's method can be used to find the next values of x and y given the current values.

To apply the Euler's method, the given differential equation needs to be rewritten in the form

\(y(n+1) = y(n) + \delta_x*f(x(n), y(n))\).

Given: \(\delta_x = 2\),

x(0) = 1,

y(0) = 2, and

y'(0) = 4.

Now, f(x,y) = y' = 4.

Using the Euler's method formula:

x(1) = x(0) + \(\delta_x\)

= 1 + 2

= 3y(1)

= y(0) + \(\delta_x*f(x(0))\),

y(0))y(1) = 2 + 2*f(1,2)

= 2 + 2(4) = 10

Therefore, the next values of x and y are x = 3 and y = 10.

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Answer:

This is a ratio problem.

To start, we can express "4 pencils cost $5" as a ratio:

=> 4 pencils : $5

Since we want to find out how many dollars 12 pencils cost, we see that we are multiplying the "pencils" section by 3, so we have to do the same to the dollar side.

=> 4 pencils * 3 : $5 * 3

=> 12 pencils : $15

Our answer is $15.

Step-by-step explanation:

In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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The probability that at least one of the machines will work properly during the given 8-hour period is 65/66.

To determine the probability that at least one of the machines will work properly during the given 8-hour period, we can use the principle of complementary probability. We will find the probability that both machines fail and subtract it from 1.

Let's denote C as the event that both machine 1 and machine 2 fail to work properly. The probability of both machines failing is given by:

Pr(C) = Pr(A' ∩ B')

Since machine 1 and machine 2 operate independently, we can use the multiplication rule:

Pr(A' ∩ B') = Pr(A') * Pr(B')

Now, the complement of event A (machine 1 works properly) is the event that machine 1 fails to work properly. Therefore, Pr(A') is the complement of Pr(A):

Pr(A') = 1 - Pr(A)

Similarly, Pr(B') is the complement of Pr(B):

Pr(B') = 1 - Pr(B)

Substituting these values back into the equation, we have:

Pr(C) = (1 - Pr(A)) * (1 - Pr(B))

Now, let's calculate the probability that at least one machine works properly:

Pr(at least one machine works) = 1 - Pr(C)

Substituting the value of Pr(C) we obtained earlier, we have:

Pr(at least one machine works) = 1 - (1 - Pr(A)) * (1 - Pr(B))

Plugging in the given probabilities Pr(A) = 5/6 and Pr(B) = 10/11, we can calculate:

Pr(at least one machine works) = 1 - (1 - 5/6) * (1 - 10/11)
                               = 1 - (1/6) * (1/11)
                               = 1 - 1/66
                               = 65/66

Therefore, the probability that at least one of the machines will work properly during the given 8-hour period is 65/66.

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Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

Answer:

\(yes \\ 1 : 3 = 3 : 9\)

Step-by-step explanation:

yes.

\(1 : 3 = 3 : 9\)

Let see how is it possible,

\(3 \times 1 : 3 \times 3 = 3 :9 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3 : 9 = 3 : 9\)

Also,

\(1 : 3= 3 \div 3 : 9 \div 3 \\ 1 : 3 = 1 : 3\)

hope this helps

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good luck! have a nice day!

the sample size should be used if we would like to estimate the mean age of the college students at a particular campus with 99% confidence is 0.7168

The formula to find the sample size is given by:-

n= ( z- σ / E)^2

, where σ is the population standard deviation, z is the z-value for the

( 1-\(\alpha\))  confidence interval and E is the margin of error .

As per given , we have

Population standard deviation : σ=4.5

z-value for 95% confidence interval : z= 1.960

Margin of error : E= 3

Then, the required minimum sample :-

n= (1.96- 4.5/3)^2

this implies n = 0.7168

Hence, the required minimum sample size = 0.7168

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Bernice is 5 baseball-bat-lengths away from her original starting position.

To find the distance from Bernice's original starting position, we can calculate the magnitude of the total displacement vector by summing up the individual displacements.

The given displacements are:

< 0, -4 > bbl

< 6, 5 > bbl

< -3, 3 > bbl

To find the total displacement, we add these vectors together:

Total displacement = < 0, -4 > bbl + < 6, 5 > bbl + < -3, 3 > bbl

Adding the corresponding components:

< 0 + 6 - 3, -4 + 5 + 3 > bbl

< 3, 4 > bbl

The total displacement vector is < 3, 4 > bbl.

To find the magnitude of the displacement vector, we use the Pythagorean theorem:

Magnitude = √(3^2 + 4^2)

Magnitude = √(9 + 16)

Magnitude = √25

Magnitude = 5

Therefore, Bernice is 5 baseball-bat-lengths away from her original starting position.

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Answer: 25 ?

Step-by-step explanation:

Comparing experiment data to public opinion polls helps evaluate media accuracy, detect biases, and understand the influence on public opinion, while describing data trends and comparing theoretical and empirical probabilities aids in making informed decisions.

In conclusion, comparing the data collected from experiments to public opinion polls allows for the assessment of media accuracy and biases, while analyzing data trends and comparing theoretical and empirical probabilities provides valuable insights for decision-making.

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This is an example of Systematic sampling.

Here we are drawing out every fifth invoice from the file available. Hence here we create an order where every fifth item is selected.

Hence this is called systematic sampling.

This is a type of probability sampling. In this method, samples are selected by the researcher at regular intervals.

This type of sampling is most suitable when we want to conduct a sampling method similar to simple random sampling but the list of population is unknown to us. However, this can also be used when the list of the same is available to us.

Another important condition is the order os the population, i.e ow it is spread must be random and not in some particular order or sample. Else the reult obtained will lose its credibility.

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Answer:

Step-by-step explanation:

Answer:

5:3

Step-by-step explanation:

30/18 simplified is 5/3

So the simplified ratio is 5 girls for every 3 boys.

Answer:

5 girls to 3 boys

Step-by-step explanation:

Ratios can be written as:

a/b

a:b

a to b

We want to write the ratio of girls to boys in the Chess club. Therefore, "a" is girls and "b" is boys.

girls/boys

girls:boys

girls to boys

There are 30 girls and 18 boys.

30/18

30:18

30 to 18

The ratio can be simplified. Both 30 and 18 can be divided by 6.

(30/6) / (18/6)=5/3

(30/6) : (18/6)= 5:3

30/6 to 18/6= 5 to 3

Answer:

(17,-1)

Step-by-step explanation:

The solution in the image

Answer:

m = n+4

m = Matthew

N = Nicole

Step-by-step explanation:

The value of the cubic polynomial evaluated at x = 0.5 is equal to 8.

In this problem we find the case of a cubic polynomial in standard form:

y = a · x³ + b · x² + c · x + d

Where a, b, c, d are real coefficients.

The values of the coefficients must be determined on the knowledge of the leading coefficient (a = 2), the constant term (d = 5) and two values (y(- 1) = 2, f(1) = 14). First, substitute the leading coefficient and the constant term in the definition:

y = 2 · x³ + b · x² + c · x + 5

y - 2 · x³ - 5 = b · x² + c · x

Second, form the system of linear equations by using the given values:

b - c = - 1

b + c = 7

Third, solve the resulting system by numerical methods:

(b, c) = (3, 4)

Fourth, write the resulting polynomial:

y = 2 · x³ + 3 · x² + 4 · x + 5

Fifth, evaluate the polynomial at x = 0.5:

y = 2 · 0.5³ + 3 · 0.5² + 4 · 0.5 + 5

y = 8

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Among the given options, the "Success/Failure Condition" is not a requirement for testing means. The other three options—Randomization, Nearly Normal Condition, and 10% Condition—are necessary conditions to be considered when conducting hypothesis tests on means.

Randomization: Randomization is essential to ensure that the samples being compared are representative of the population and to minimize bias. Random assignment of individuals to treatment groups helps control for confounding variables and increases the validity of the statistical analysis.

Nearly Normal Condition: The Nearly Normal Condition assumes that the data follows a roughly normal distribution within each group being compared. This condition is important because many statistical tests, such as t-tests, rely on the assumption of normality to provide accurate results.

10% Condition: The 10% Condition is relevant when sampling from a finite population. It states that the sample size should be no more than 10% of the population size to ensure that the sampling process does not significantly affect the population distribution.

Success/Failure Condition: The Success/Failure Condition is not directly related to testing means. It is typically associated with tests involving proportions, where the condition specifies that both the number of successes and the number of failures should be at least 10 in each sample or category being compared.

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Hey there!

The answer is 3

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

First we do 1 ÷ 1, which is 1. Now we are left with 3 + 1 - 1. Now, we do addition. 3 + 1 = 4. Then, subtraction. 4 - 1 = 3.

Hope it helps and have a great day!

Answer:

D- the aggressiveness of the driver's driving style

Step-by-step explanation:

39/4

its mixed from is 9 3/4