FREE BRAINLY! What is the equation of the line perpendicular to the line y = -3 and passing through the point (2, -1)?

When scores are measured on a nominal scale, the appropriate frequency distribution graph is a bar graph. Therefore, the correct answer is option D: Only a bar graph.

A nominal scale is the lowest level of measurement, where data is categorized into distinct categories or groups without any inherent order or magnitude. In this type of measurement, the data points are labeled or named rather than assigned numerical values. Examples of variables measured on a nominal scale include gender (male/female), marital status (single/married/divorced), or eye color (blue/brown/green).

A bar graph is a visual representation of categorical data that uses rectangular bars of equal width to depict the frequency or count of each category. The height of the bars represents the frequency or count of observations in each category. The bars in a bar graph are usually separated by equal spaces, and there is no continuity between the bars. The categories are displayed on the x-axis, while the frequency or count is displayed on the y-axis.

A bar graph is particularly useful for displaying and comparing the frequencies or counts of different categories. It allows for easy visualization of the distribution of categorical data and helps to identify the most common or least common categories. The distinct separation of the bars in a bar graph is suitable for representing data measured on a nominal scale, where the categories are discrete and do not have a natural order or magnitude.

Histograms, polygons, and other types of frequency distribution graphs are more appropriate for variables measured on ordinal, interval, or ratio scales, where the data points have numerical values and a specific order or magnitude.

In summary, when scores are measured on a nominal scale, the most appropriate frequency distribution graph is a bar graph. It effectively represents the frequencies or counts of different categories and allows for easy visualization and comparison of categorical data.

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The correct value of variance of the return for this investment is closest to 0.25057.

To find the variance of the return for the investment, we need to calculate the expected return and then use the formula for variance.

The expected return is calculated by taking the average of the possible returns weighted by their probabilities:

Expected return = (35% * 0.35) + (-20% * 0.65)

= 0.1225 - 0.13

= -0.0075

Next, we calculate the variance using the formula:

Variance = \((Return1 - Expected return)^2 * Probability1 + (Return2 - Expected return)^2 * Probability2\)

Variance = (0.35 - (-0.0075))^2 * 0.35 + (-0.20 - (-0.0075))^2 * 0.65

= 0.3571225 * 0.35 + 0.1936225 * 0.65

= 0.12504 + 0.12553

= 0.25057

Therefore, the variance of the return for this investment is closest to 0.25057.

Among the given answer choices, the closest value is 0.151 (option A). However, none of the provided answer choices matches the calculated variance exactly.

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a)  False - The consequent (2 + 2 = 5) does not hold true when the condition (1 + 1 = 2) is satisfied.

b)  False - Neither the condition (1 + 1 = 3) nor the consequent (2 + 2 = 4) is true.

c)  False - The consequent (2 + 2 = 5) does not follow when the condition (1 + 1 = 3) is met.

d)  True - Since the condition (monkeys can fly) is false, the statement (1 + 1 = 3) holds true due to the structure of the conditional statement.

In the given conditional statements, we need to determine whether each statement is true or false based on the provided conditions.

a) If 1 + 1 = 2, then 2 + 2 = 5. This statement is false because the initial condition (1 + 1 = 2) is true, but the consequent (2 + 2 = 5) is false. In mathematics, if the condition is true, the consequent should also be true, but in this case, it is not.

b) If 1 + 1 = 3, then 2 + 2 = 4. This statement is false because both the condition (1 + 1 = 3) and the consequent (2 + 2 = 4) are false. The initial condition is not satisfied, so the statement cannot be true.

c) If 1 + 1 = 3, then 2 + 2 = 5. This statement is false for the same reason as statement a) - the initial condition is true, but the consequent is false.

d) If monkeys can fly, then 1 + 1 = 3. This statement is true because it follows the structure of a conditional statement where the condition (monkeys can fly) is false, and therefore the statement is always true.

In summary, statement a), b), and c) are false, while statement d) is true.

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(tan(x) + cot(x)) / (tan(x) - cot(x)) = (tan²(x) + 1) / (tan²(x) - 1)

… = (sin²(x) + cos²(x)) / (sin²(x) - cos²(x))

… = -1/cos(2x)

Then as x approaches π/2, the limit is -1/cos(2•π/2) = -sec(π) = 1.

Given:

Annual earnings = $17,500

Asked: What is the gross amount of her semimonthly paycheck?

Solution:

To find the answer, we need to divide first the annual earnings by 12 to get the monthly paycheck. After that, we will divide it by 2 because we are looking for the semimonthly paycheck.

ANSWER: C. $729.17

Answer: 4248/.090=x

4720=x

ANSWER: There are 4720 students.

Answer: 4,720.

Step-by-step explanation: We're given 90% and 4,248  We know that 90% of the students enrolled use the bus for transportation.  We know the 10% of the students who don't ride buses can't be more than 500, because 10% is so small. 90% of 4,720 students are 4,248, which means in total, 4,720 students are enrolled in the big city school.

Have a great day! :)

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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The equation that can be used to find the cost, c, of the pizza is c/5 = $3.25.

An equation is a mathematical statement that shows that two expressions are equal. Equations use an equals sign (=) to show that the values of the expressions on either side of the sign are equal.

Equations can include variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the value of the variable that makes the equation true.

If they divide the cost of a meatball pizza evenly among 5 people and each person pays $3.25, then we can write the equation as

c/5 = $3.25

where c is the cost of the pizza

Plugging in the known value of p = $3.25, we get: c = 5($3.25) = $16.25.

So the cost of the meatball pizza at the Dancing Meatball is $16.25.

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Answer:

Option (A) will be the correct option.

Step-by-step explanation:

Formula to calculate the volume of a cylinder is given by,

V = πr²h

where 'r' = radius of the cylinder

h = length of the cylinder

We have to calculate the volume of a cylindrical log with,

Radius 'r' = 7 cm ≈ \(\frac{7}{100}\) m

                           ≈ 0.07 m

Length 'h' = 2 m

Therefore, volume of the log = π(0.07)²(2)

                                                = 0.03079

                                                ≈ 0.0308 m³

Option (A) will be the correct option.

The cost of ordering and storing 2000 units of the product is $301.50.

Given, The cost C of ordering and storing x units of a product can be modeled by the equation:

\(20,000 C = 3x + 30\)

The given equation can be re-written as:

\(C = 3/20 x + 3/2000\)

To find: The cost of ordering and storing 2000 units of the product

Solution: We are given that x is 2000, C is 3/20 x + 3/2000

Substitute x = 2000

\(C = 3/20 \times 2000 + 3/2000\)

C = 300 + 1.5

C = $301.50 (Rounded to the nearest cent)

Therefore, the cost of ordering and storing 2000 units of the product is $301.50.

Conclusion: The cost C of ordering and storing x units of a product can be modeled by the equation \(20,000 C = 3x + 30\). Using this equation, we found that the cost of ordering and storing 2000 units of the product is $301.50.

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Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

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Answer: C

Step-by-step explanation:

Answer: I think the answer is A.

Step-by-step explanation:

Answer:

Website A is cheaper by 29 cents

Step-by-step explanation:

A

49.95 + 4.39 = 54.34

B

47.68 + 6.95 = 54.63

54.63 - 54.34 = 0.29

Answer:

the difference is 0.29 cents

website A is cheaper

Step-by-step explanation:

(47.68 + 6.95) - (49.95 + 4.39)

54.63 - 54.34 = 0.29

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Answer:

42

Step-by-step explanation:

63 divided by 3 first because you need to break each group down into equal gardens with the same amount of butterflies.

now you have 21 you need to multiply with the number 2 because you need to know how many butterflies are in two gardens

and now you get 42

Interior Angle is 180n = 375 - x in given question.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

To determine the number of sides in a convex polygon given the sum of all but one of its interior angles, we can use the formula:

Sum of interior angles = (n - 2) * 180 degrees,

where n represents the number of sides in the polygon.

In this case, the sum of all but one of the interior angles is missing, so we need to subtract one interior angle from the total sum before applying the formula.

Let's denote the missing interior angle as x. Therefore, the sum of all but one of the interior angles would be the total sum minus x.

Given that the stamina is 15, we can express the equation as:

(15 - x) = (n - 2) * 180

Simplifying the equation, we have:

15 - x = 180n - 360

Rearranging the terms:

180n = 15 - x + 360

180n = 375 - x

Now, we need more information or an equation to solve for the number of sides (n) or the missing interior angle (x).

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Answer:

3: 55 degrees

4: 128 degrees

Step-by-step explanation:

A straight line is 180 degrees and so you do 180-125 to get 55 degrees

180-58 is 128 degrees

Answer:

From greatest to least it would be 3.66666,\(\sqrt{11}\),2(1/4),-2.5,-3.97621

Step-by-step explanation:

Just type in a calc

Answer:

\(\sqrt{11}=3.31\), -2.5, \(2\frac{1}{2}= 2.25\), 3.6, -3.97621...

Step-by-step explanation:

Greatest to least would be:

3.6,  \(\sqrt{11}\), \(2\frac{1}{4}\), -2.5, -3.97621...

Least to greatest would be:

-3.97621, -2.5, \(2\frac{1}{4}\), \(\sqrt{11}\), 3.6

Hopefully, that helps.

The area of the circle is 201 m².

So, the area of the circle:

We know that 4a = 2πr, now calculate r as follows:

Rounding off: 8m

Area of circle:

Rounding off: 201 m²

Therefore, the area of the circle is 201 m².

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Answer:

16

Step-by-step explanation:

Multiply it by 1/3 and it equals 16

Answer:

16

Step-by-step explanation:

48/3=16

Answer:

stop

Step-by-step explanation:

Answer:

4x^2 - 16x + 8

Step-by-step explanation:

4(x-2)^2-8

4(x-2)(x-2)-8

4{x^2-4x+4}-8

4x^2 - 16x +16 - 8

4x^2 - 16x + 8

Rounded to the nearest cent, each member should still raise approximately $39.96 on average to meet the goal.

To determine how much each member should still raise on average to meet the goal, we need to find the remaining amount that needs to be raised and divide it by the number of team members.

The total amount needed to meet the goal is $1460.00, and they have already raised $461.00. Therefore, the remaining amount to be raised is:

Remaining amount = Total amount needed - Amount already raised

Remaining amount = $1460.00 - $461.00

Remaining amount = $999.00

Now, to find out how much each member should raise on average, we divide the remaining amount by the number of team members:

Average amount per member = Remaining amount / Number of team members

Average amount per member = $999.00 / 25

Average amount per member = $39.96

Note: In practice, some members may raise more or less than the average amount, depending on their individual fundraising efforts and capabilities. The average amount per member serves as a guideline for the overall target, but individual contributions may vary.

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Answer:

120

Step-by-step explanation:

i dont know the exact reason but the formula to problems like this is the actual number which is 5 in this sitaution and then multiply the numbers below it. For the equation i did 5x4x3x2x1 and i got 120

The weight of the melted ice cream would be the same as the weight of the original ice cream, which is 5 ounces.

a quantity or thing weighing a fixed and usually specified amount. : a heavy object (such as a metal ball) thrown, put, or lifted as an athletic exercise or contest. 3. : a unit of weight or mass see Metric System Table.

When the ice cream melts, it undergoes a change in state from solid to liquid, but the total mass or weight remains unchanged. Therefore, the weight of the melted ice cream is still 5 ounces.

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The given set is {(x, y) | x ≠ −3}, open and connected. Option a and b are correct.

The set is open because for any point (x, y) in the set, we can find a small neighborhood around it (an open ball) that is entirely contained within the set. Specifically, we can choose a radius smaller than the distance from x to -3 to get an open ball around x that does not intersect -3.

The set is connected because any two points in the set can be connected by a continuous path within the set. This follows from the fact that the set is an open interval in the x-axis, which is a connected space.

The set is not simply connected because it has a "hole" at x = -3. Specifically, any closed curve in the set that encircles x = -3 cannot be continuously shrunk to a point within the set. This means that the set fails to satisfy the more stringent condition of simply connectedness, which requires that every closed curve in the set can be continuously shrunk to a point within the set. Option a and b are correct.

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Answer:

Correct

Step-by-step explanation:

All Goldren Retrievrs are dogs, and a golden retriver cannot alwasys be a dog.

In general, different refrigerants should not be mixed or recovered into the same cylinder.

Different refrigerants have unique chemical compositions and properties that make them incompatible with one another. Mixing different refrigerants can lead to unpredictable reactions, loss of refrigerant performance, and potential safety hazards. Therefore, it is generally recommended to avoid recovering different refrigerants into the same cylinder.

When recovering refrigerants, it is important to use separate recovery cylinders or tanks for each specific refrigerant type. This ensures that the refrigerants can be properly identified, stored, and recycled or disposed of in accordance with regulations and environmental guidelines.

The refrigerant recovery process involves capturing and removing refrigerant from a system, storing it temporarily in dedicated containers, and then transferring it to a proper recovery or recycling facility. Proper identification and segregation of refrigerants during the recovery process help maintain the integrity of each refrigerant type and prevent contamination or cross-contamination.

To maintain the integrity and safety of different refrigerants, it is best practice to recover each refrigerant into separate cylinders. Mixing different refrigerants in the same cylinder can lead to complications and should be avoided. Following proper refrigerant recovery procedures and guidelines helps ensure the efficient and environmentally responsible management of refrigerants.

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The number of different refrigerants that may be recovered into the same cylinder is zero.

When it comes to refrigerants, it is important to understand that different refrigerants should not be mixed together. Each refrigerant has its own unique properties and should be handled and stored separately. mixing refrigerants can lead to chemical reactions and potential safety hazards.

The recovery process involves removing refrigerants from a system and storing them in a cylinder for proper disposal or reuse. During the recovery process, it is crucial to ensure that only one type of refrigerant is being recovered into a cylinder to avoid contamination or mixing.

Therefore, the number of different refrigerants that may be recovered into the same cylinder is zero. It is essential to keep different refrigerants separate to maintain their integrity and prevent any adverse reactions.

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The average rate of change in dollars per year from 10 to 30 years is: 1. 33.5.

In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by this mathematical expression:

Average rate of change = [f(b) - f(a)]/(b - a)

Next, we would determine the average rate of change of the function g(t) over the interval [10, 30]:

a = 10; f(a) = 562.49

b = 30; f(b) = 1232.49

Substituting the given parameters into the average rate of change formula, we have the following;

Average rate of change = (1232.49 - 562.49)/(30 - 10)

Average rate of change = 670/20

Average rate of change = 33.5.

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