Which of the following would be considered a ratio variable? Eye Color O Letter Grades (A, A-, B+) Price of a Grocery Store Order High School Graduation Year

Answer:

x = 83°

Step-by-step explanation:

the 3 angles above the straight line sum to 180° , that is

41° + blank  + 56° = 180°

97° + blank = 180° ( subtract 97° from both sides )

blank = 83°

x and blank are vertically opposite angles and are congruent , then

x = 83°

Answer: 83 degrees

Step-by-step explanation:

Vertical angles have the same value and all of the angles add up to 360 degrees. Therefore we can create the equation:

2x+56+56+41+41 = 360

2x = 360-194

2x = 166

  x = 83

Angle x is 83 degrees

Note that Im just a student if I did this wrong pls correct me

The statement which is not true is a. Passive political risk management discourages managers from fully or partially hedging their bets against exposure to political hazards

Passive political risk management does not deter managers from fully or partially hedging their bets against political risk exposure. This management describes a strategy for controlling political risk that involves altering how a firm carries out a business to reduce political risk. This is generally performed without necessarily using financial instruments to safeguard against any degree of political risk.

It may entail taking necessary steps to spread the firm's operations across other geographies and regions, choosing joint venture partners with strong political influence, determining local contacts, and preserving strong ties with local individuals associated with politics. Even if a firm doesn't use active hedging tactics, these activities can efficiently assist it to lessen its exposure to political risk.

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The population variance is closest to 67.43, hence option C: 67.00, by referring the formula for population variance where N plays the number of data points.

The following gives the formula for population variance:

σ2 = (1 /N) ∑ (xi – μ) 2

Where:

σ2 refers to the population variance.

N refers to the total number of data points

∑ (xi – μ) 2 is the sum of the squared differences between each data point and the mean of the population.

For example, consider a population with data values of 12, 8, 28, 22, 12, 30, 14. The mean of this population is:

12+8+28+22+12+30+14)/7 = 18.

The population variance is calculated as follows:

σ2 = (1/7) [(12-18)2 + (8-18)2 + (28-18)2 + (22-18)2 + (12-18)2 + (30-18)2 + (14-18)2]

= 67.43

Therefore, the population variance is closest to 67.43.

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Complete question is:

Consider a population with data values of 12 8 28 22 12 30 14. The population variance is the closest to:

A. 8.00

B. 8.64

C. 67.00

D. 74.67

The numeric value of the function g(x) at x = -12 is given as follows:

g(-12) = -10.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the defined function or in the defined expression by the value at which we want to find the numeric value.

On the graph of a function, to find the numeric value for a value of x, we have to trace a vertical line at the value of x and verify where the vertical line crosses the function.

On the given graph, a vertical line at x = -12 would cross the function at y = -10, hence the numeric value is given as follows:

g(-12) = -10.

The graph of the function is presented at the end of the answer.

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Answer:

7/24

Step-by-step explanation:

two minuses make a +,

meaning this equation is basically

-1/12+3/8

find a common denominator by LCM.

8,16,24,32

12,24,36,48

they share 24

denominator is 24

12*2 is 24, -1*2 = -2. 8*3 = 24 so we do 3*3 = 9

-2+9/24

7/24

If Maria and Cindy both arrived early for work, Cindy arriving 23(1/2) minutes earlier than maria, and the total number of minutes that they were early by, was 38 minutes, then Maria arrived ahead of stipulated time by 14.5 minutes, while Cindy arrived earlier by 38 minutes, determined by solving a linear equation.

As per the question statement, Maria and Cindy both arrived early for work, Cindy arriving 23(1/2) minutes earlier than maria, and the total number of minutes that they were early by, was 38 minutes.

We are required to calculate the individual minutes by which, each of Maria and Cindy arrived earlier by.

To solve this question, let us assume that Maria arrived early by "x" minutes, and already given that Cindy arrived 23(1/2) minutes earlier than maria.

Since the total number of minutes that they were early by, was 38 minutes, we can form a linear equation, based on our assumption and the condition provided in the question statement, which goes as,

[{x + 23(1/2)} = 38]

Or, [(x + 23.5) = 38]

Or, [(x +23.5) = 38]

Or, [x = (38 - 23.5)]

Or, [x = 14.5]

That is, Maria arrived ahead of stipulated time by 14.5 minutes.

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Answer:

8°

Step-by-step explanation:

For exterior angle QRS, angles RPQ and PQR are its remote interior angles.

m<QRS = m<RPQ + m<PQR

4x - 15 = x + 1 + x - 2

2x = 14

x = 7

m<RPQ = x + 1 = 7 + 1 = 8

The simple interest rate charged on the purchase per monthly payment is approximately 0.5735%.

To determine the simple interest rate charged per monthly payment on the flat screen television, please follow these steps:

1. Calculate the total amount paid in monthly payments: 24 payments * $80 = $1920.
2. Subtract the down payment: $1920 - $100 = $1820.
3. Subtract the original cost from the total amount paid: $1820 - $1600 = $220. This is the total interest paid.
4. Divide the total interest by the number of monthly payments: $220 / 24 = $9.1667 interest per month.
5. Calculate the interest rate per monthly payment: ($9.1667 / $1600) * 100 = 0.5735% per month.

The simple interest rate charged on the purchase per monthly payment is approximately 0.5735%.

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The Standard form of the given statement is 8.5x10⁵ .

What is Standard form ?

Standard form is a way of writing a small number or a large number easily.

Given statement is :

8.5x10 to the power of 5

We write this in standard form we have :

8.5x10⁵

Therefore, the Standard form of the given statement is 8.5x10⁵

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Answer:

The angles measure \(65\)° and \(115\)°.

Step-by-step explanation:

Supplementary angles are a pair of angles whose measures add up to \(180\)°. In this case, we know that one angle is \(50\)° bigger than the other one, so if we let the measure of one angle be \(x\), then the measure of the other angle will be \(x+50\). Therefore, we can write the following equation to solve for

\(x+x+50=180\)

Solving for \(x\), we get:

\(x+x+50=180\)

\(2x+50=180\) (Simplify LHS)

\(2x+50-50=180-50\) (Subtract \(50\) from both sides of the equation to isolate \(x\))

\(2x=130\) (Simplify)

\(\frac{2x}{2}=\frac{130}{2}\) (Divide both sides of the equation by \(2\) to get rid of \(x\)'s coefficient)

\(x=65\)

Therefore, \(x+50=65+50=115\), so our final answer is that the angles measure \(65\)° and \(115\)°. Hope this helps!

The area of the base of the triangular prism in square centimeters is 14.6 square centimeters.

In Mathematics, a triangular prism can be defined as a geometric shape (figure) with five (5) faces in total. Generally speaking, a triangular prism comprises two (2) triangular bases and three (3) rectangular lateral faces.

Mathematically, the volume of a triangular prism is calculated by using this formula:

Volume = base area × height of the prism.

365 = base area × 25

Base area = 365/25

Base area = 14.6 square centimeters.

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Calculators bought to help individuals complete their personal federal income tax forms is not a business product.

A business product refers to goods or services that are purchased by businesses or organizations to be used in their operations or to produce other goods and services. It excludes products intended for personal use or consumption.

In the given options, calculators bought to help individuals complete their personal federal income tax forms stands out as not being a business product. Calculators purchased for personal use, even if they are used for a specific task related to taxes, are not considered business products because they are intended for personal use rather than for business operations or production.

On the other hand, paper, pens, and tape to be used in an office, chips to be integrated into components for personal computers, marketing consulting services to aid a company in marketing a new product, and oil to be refined into fuel are all examples of business products.

Therefore, calculators bought for personal use is the option that does not represent a business product in the given choices.

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Answer:

136-5x

Step-by-step explanation:

The observations of shoplifters in Pueblo, Colorado, characterized as "72 percent men and 28 percent women, with an average age of 15.4 years" constitutes the type of Analysis called as Descriptive Analysis.

The Descriptive analysis is a type of statistical analysis which involves the  summarizing and describing main features of a set of data. This type of analysis is used to provide a general picture of the data and to highlight patterns and relationships in the data.

the data "72 percent men and 28 percent women, with an average age of 15.4 years" describes the gender and age distribution of shoplifters in Pueblo, Colorado. The data provides information on the percentage of men and women who are shoplifters, and the average age of shoplifters in the area. This information can be used to describe the characteristics of shoplifters in Pueblo, Colorado.

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The Interquartile Range (IQR) rule is a commonly used quantitative rule to determine univariate outliers and deleting a case may be justified if it is a result of a measurement error, data entry error, or if it significantly skews the results.

The Interquartile Range (IQR) rule is a commonly used method for identifying outliers in a univariate data set. It is calculated as the difference between the 75th percentile (Q3) and the 25th percentile (Q1). Outliers are considered to be any values that fall outside of the range Q1 - 1.5 * IQR to Q3 + 1.5 * IQR. This range encompasses approximately 75% of the data, with outliers being any values that fall outside of this range.

In some cases, deleting a case or participant may be justified if it is a result of a measurement error, data entry error, or if it significantly skews the results.

This decision should be made carefully and only after careful consideration of the implications, as removing data can affect the validity of the results and the conclusions that can be drawn from the analysis. In some cases, it may be better to keep the outlier and consider it a potential error or to conduct further analysis to determine if there is a valid reason for the outlier.

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Answer:

Y= 4x-3

Step-by-step explanation:

The y-intercept is -3,

the slope is 4:

rise over run= 4/1 or 4

so 4x-3

I hope this helps!

Answer:

Option B

Step-by-step explanation:

Given quadratic equation is,

12a² + 9a + 7 = 0

By comparing this equation with standard quadratic equation,

hx² + kx + c = 0

h = 12, k = 9 and c = 7

By using quadratic formula,

a = \(\frac{-k\pm\sqrt{k^2-4hc}}{2h}\)

  = \(\frac{-9\pm\sqrt{9^2-4(12)(7)}}{2(12)}\)

  = \(\frac{-9\pm\sqrt{81-336}}{2(12)}\)

  = \(\frac{-9\pm\sqrt{-255}}{24}\)

  = \(\frac{-9\pm i\sqrt{255}}{24}\)

a = \(\frac{-9+ i\sqrt{255}}{24},\frac{-9- i\sqrt{255}}{24}\)

Therefore, Option B will be the correct option.

Answer:

$6.05

Step-by-step explanation:

$35.56 * .17 = 6.05

Answer:3 x − 4 = 8 3x-4=8 3x−4=8. Add 4 to both sides. Simplify 8 + 4 8+4 8+4 to 1 2 12 12. Divide both sides by 3.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = \(\frac{4}{3} \) πr³ ( r is the radius )

Given V = \(\frac{32}{3} \) π , then

\(\frac{4}{3} \) πr³ = \(\frac{32}{3} \) π ( multiply both sides by 3 to clear the fractions )

4πr³ = 32π ( divide both sides by 4π )

r³ = 8 ( take cube root of both sides )

r = \(\sqrt[3]{8} \) = 2

Answer:

b.2 in

Step-by-step explanation:

Formula Volume of sphere = 4/3πr^3

then r= cubic root (3V/4π)

= cubic root (3 x 32/3π/4π) (simplify 3andπ)

= cubic root of (32/4)

= cubic root of 8 = 2

Answer:

24.35

Step-by-step explanation:

To use Green's Theorem to evaluate the integral of f · dr, we first need to calculate the curl of the vector field f(x, y).

The curl of f(x, y) is given by:
∇ × f = (∂(x sin(y)) / ∂y) - (∂(y - cos(y)) / ∂x)
= x cos(y) + sin(y)
Next, we need to calculate the line integral of f · dr along the circle c, which is oriented clockwise.
To do this, we can use Green's Theorem, which states that the line integral of f · dr along a closed curve c is equal to the double integral of the curl of f over the region enclosed by c.
Thus, we have:
∫f · dr = ∬(∇ × f) dA
= ∬(x cos(y) + sin(y)) dA
Since c is a circle with center (7, 5) and radius 2, we can write the integral in polar coordinates as:
∫f · dr = ∫∫(r cosθ cos(r sinθ) + r sinθ) r dr dθ
= ∫0^2π ∫0^2 (r^2 cosθ cos(r sinθ) + r^2 sinθ) dr dθ
Solving this double integral gives the final answer for the line integral of f · dr along c.

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If the p-value of a hypothesis test is 0.016, it means that the probability of observing the data or more extreme data assuming the null hypothesis (i.e., the conveyor works properly) is 0.016. So, we reject the null hypothesis.

This p-value is relatively small and falls below the conventional significance level of 0.05. Therefore, we can reject the null hypothesis that the conveyor works properly and conclude that the conveyor is not sorting packages correctly.

However, we cannot determine the cause of the problem with the conveyor from this hypothesis test alone. Further investigation is necessary to identify the root cause of the issue and determine the appropriate corrective actions.

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The causes of variation that can be identified and eliminated are called; Assignable Causes.

There are two primary causes of variation in the quality of a product or process. These two primary causes are called;

Now, Common causes of variation are defined as random causes that we cannot identify. However, Assignable causes of variation are those that can be identified and eliminated.

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a. when x = 10, dy/dx = -1 and dy/dt = -20.

b. when x = 25, dy/dx = -4/25 and dy/dt = -125/4.

c. when x = 50, dy/dx = -1/25 and dy/dt = -500.

What is implicit differentiation?

The process of finding the derivative of dependent variable in an implicit function by differentiating each term separately by expressing the derivative of the dependent variable as a symbol and by solving the resulting expression for the symbol.

To find dy/dx, we can use implicit differentiation:

Now we can substitute the given values of x and y to find the corresponding values of dy/dt and dy/dx.

(a) If x = 10 and xy = 100, then y = 10:

dy/dx = -y/x = -10/10 = -1

Using the chain rule:

dy/dt = dy/dx * dx/dt

20 = -1 * dx/dt

dx/dt = -20

Therefore, when x = 10, dy/dx = -1 and dy/dt = -20.

(b) If x = 25 and xy = 100, then y = 4:

dy/dx = -y/x = -4/25

Using the chain rule:

dy/dt = dy/dx * dx/dt

20 = (-4/25) * dx/dt

dx/dt = -125

Therefore, when x = 25, dy/dx = -4/25 and dy/dt = -125/4.

(c) If x = 50 and xy = 100, then y = 2:

dy/dx = -y/x = -2/50 = -1/25

Using the chain rule:

dy/dt = dy/dx * dx/dt

20 = (-1/25) * dx/dt

dx/dt = -500

Therefore, when x = 50, dy/dx = -1/25 and dy/dt = -500.

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Answer:

\(\huge{\bold{\boxed{\sf{x = 8 }}}}\)

Step-by-step explanation:

\(6.5x - 10 = 4.5x + 6\)

Move 4.5x to left hand side and change its sign.

Similarly, move 10 to right hand side and change its sign.

⇒\(6.5x - 4.5x = 6 + 10\)

Subtract 4.5x from 6.5x

⇒\(2x = 6 + 10\)

Add the numbers: 6 and 10

⇒\(2x = 16\)

Divide both sides by 2

⇒\(\frac{2x}{2} = \frac{16}{2}\)

Calculate

⇒\(\boxed{\sf{ x = 8 }}\)

Hope I helped!

Best regards!

~\(\sf{TheAnimeGirl}\)

Answer:

2/3

Step-by-step explanation:

When a line is parallel to another, it means that there are never going to be any solutions(they won't ever intersect each other.) To do so, the slope of the lines have to be the same. It doesn't matter what the y-intercept is.

So the slope of the second line is going to be the same as the first line: 2/3

Answer:

\(\frac{33}{38}\)

Step-by-step explanation:

14 basketball

19 baseball

5 neither

14 + 19 + 5 = 38

14 + 19 = 33

\(\frac{33}{38}\)