The mode is the value of the observation that appears most frequently. true or false

Answer:$11

Step-by-step explanation: 50c - 300= 250

Add 300 to both sides

Divide both sides by 50

Answer:

linear

Simplifying

3x + y = 84

Solving

3x + y = 84

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1y' to each side of the equation.

3x + y + -1y = 84 + -1y

Combine like terms: y + -1y = 0

3x + 0 = 84 + -1y

3x = 84 + -1y

Divide each side by '3'.

x = 28 + -0.3333333333y

Simplifying

x = 28 + -0.3333333333y

Answer:

b. 1.00

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

A  The data is proportional and the unit rate per package is $8   This is because y= 8x

Step-by-step explanation:

/y relationship is no of packages = 1                                                                          x/ = total cost to ship = 8    = 8/1  = 16/2 = 24/3 = 32/4 means they are all proportional to 8/1 = 8    y = 8x  see graph attached  

A
-------------------------------------------------------

bc it is an integer but not whole numbers

To verify the inequality without evaluating the integrals, we can use the properties of integrals.

First, we know that the integral of a positive function gives the area under the curve. Therefore, the integral of √(1-x^2) from -1 to 1 gives the area of a semicircle with radius 1. This area is equal to π/2, which is approximately 1.57.
Next, we can use the fact that the integral of a function over an interval is less than or equal to the product of the length of the interval and the maximum value of the function on that interval. Since the function √(1-x^2) is decreasing on the interval [-1,1], its maximum value is at x=-1, which is √2/2.
Using this property, we have:
∫1 -1 √(1-x^2) dx ≤ (1-(-1)) * √2/2 = √2
Finally, we can use a similar argument to show that the integral is greater than or equal to 2. Therefore, we have:
2 ≤ ∫1 -1 √(1-x^2) dx ≤ √2
To verify the inequality 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2 using properties of integrals, let's first establish that the integrand is non-negative on the interval [-1, 1]. Since 0 ≤ x^2 ≤ 1, we have 0 ≤ 1 - x^2 ≤ 1, so √(1 - x^2) is non-negative.
Now, consider the areas of two squares: one with side length 2 and the other with side length √2. The area of the first square is 2² = 4, and the area of the second square is (√2)² = 2. Since the integrand lies between 0 and 1, the area under the curve is less than the area of the first square but more than half of it (as it resembles half of the first square).
Therefore, 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2, as the area under the curve is between half of the first square's area and the second square's area.

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V = π [(3(\(\sqrt{18/2}\))³/1) - (2(\(\sqrt{18/2}\))⁵/15)] - π [0]

Simplifying this expression will give us the final volume of the solid.

, we need to evaluate the triple integral:

V = ∫₀²π ∫₀ᵣ ∫(18 - 2r²) r dz dr dθ

Integrating with respect to z first, we have:

V = ∫₀²π ∫₀ᵣ (18 - 2r²) r dr dθ

Integrating the volume with respect to r, we get:

V = ∫₀²π [(9r² - 2/3r⁴)]ᵣ₀ dθ

Simplifying the expression inside the brackets and evaluating the integral, we have:

V = ∫₀²π (9r² - 2/3r⁴) dθ

V = π [(9/3)r³ - (2/15)r⁵]ᵣ₀

V = π [(3r³/1) - (2r⁵/15)]ᵣ₀

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Answer:

Link: https://www.numerade.com/ask/question/graph-a-line-that-contains-the-point-61-and-has-a-slope-of-5-05016/

Step-by-step explanation:

Answer: find -6 on x or y axes then 1 on x or y axes then diagonal by five and count each spot.

Step-by-step explanation:find the -6 on what the question asked -6 x or y axes then 1 should be on the opposite axes then go diagonal by five and count each spot.

A line in slope-intercept form ( y=mx+b) that has a positive x-term has a graph of the form:

Therefore, the line slants up.

The concept is the Vertical Lines. The Vertical Lines are a pair of opposing, congruent angles created by intersecting lines. It is option A.

An upward line is a line on the direction plane where every one of the focuses on the line have a similar x-coordinate. Because they are perpendicular to the ground and extend toward the sky, vertical lines frequently convey a sense of height.

At the point when two straight lines cross each other vertical points are shaped. Every vertical angle is equal and congruent.

By super-imposing the two pairs of non-adjacent angles created by intersecting two lines, vertical angles are congruent.

Every vertical angle has the same length. We call angles congruent when their measurements are the same.

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Question:

Which of coming up next is best depicted as a couple of inverse points shaped by crossing lines?

A. Vertical angles

B. Supplementary angles

C. Complementary angles

D. Linear pair

Answer:

5 hours

Step-by-step explanation:

100t + 80t = 900

First, you can add 100t to 80t because they are both like terms.

100t + 80t = 900

180t = 900

Now you multiply,

when t = 2,

180*2 = 360

when t = 4,

180*4 = 720

When t = 5,

180*5 = 900

So, it will take them 5 hours to make 900 papers

Answer:

Third option:

Ax + By < 0

Step-by-step explanation:

The general form of an inequality is:

(something)  (symbol)  (another thing).

Where the symbols can be:

> = "larger than"

< = "smaller than"

≤ = "smaller than or equal to"

≥ = "larger than or equal to"

So, a given inequality can be:

K > M

This means that K is larger than M.

From the given options, the only one that has this general form is the third option:

Ax + By < 0

This can be read as:

"A times x, plus B times y, is smaller than zero"

The approximate distance from Town A to Town C is 12.5 miles.

What is the midpoint?

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

To find the midpoint of Town A and Town B, you need to find the average of the x-coordinates and the average of the y-coordinates.

The x-coordinate of Town A is -8 and the x-coordinate of Town B is 10, so the average is (10 - (-8))/2 = 9/2 = 4.5.

The y-coordinate of Town A is 2 and the y-coordinate of Town B is 8, so the average is (8 - 2)/2 = 6/2 = 3.

Therefore, Town C is located at (4.5, 3).

To find the distance from Town A to Town C, you can use the distance formula, which is the square root of the difference in x-coordinates squared plus the difference in y-coordinates squared.

The distance from Town A to Town C = √((4.5 - (-8))^2 + (3 - 2)^2) = √(12.5^2 + 1^2) = √(156.25 + 1) = √(157.25) = 12.5 miles

Hence, the approximate distance from Town A to Town C is 12.5 miles.

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Answer:

10

Step-by-step explanation:

Answer:

The fractions are 15/20 and 4/20

Step-by-step explanation:

3/4 + 1/5 = 19/20

For example, if you have the fraction 3/4 you would multiply the demominator  by 5 to get 20. What you do to the denominator, you have to do to the top (the numerator). Since you multiplied the denominator, 4, by 5 you have 20. Now you have to multiple the numerator by 5, which gives you 15 because 3 x 5= 15. Your final fraction should be 15/20

Do this process to the 1/5 fraction:

1/5

Multiply 5 x 4 to give you 20 since 20 is the common denominator. Now, you have to multiply the numerator, 1, by 4. Whatever you do to the bottom, you do to the top. 1 x 4= 4. Your final fraction should be 4/20

Now sum the fractions up:

15/20 + 4/20 = 19/20

Answer:

\(|RS| = \sqrt[3]{19}\)

Step-by-step explanation:

The computation of the magnitude is shown below:

Data provided in the question

Given points

R(3,7,-1), S(10,-4,0)

Now the distance lies between R and S

RS = (10 ,-4, 0) - ( 3 ,7, -1 )

     = (10 - 3, -4 - 7, 0 - (- 1))

     = (7, - 11, 1 )

After that, the magnitude is determined by using the following calculation part

\(|RS| = \sqrt{(7)^2 + (-11)^2 + (1)^2} \\\\ = \sqrt{49 + 121 + 1} \\\\ = \sqrt{121}\\\\ = \sqrt[3]{19}\)

The maximum price per egg that the supermarket may charge is $0.245 per egg, which is the difference between the pricing per egg for the 2 distinct cartons.

The answer to the query is

The following details are available to us:

We'll first calculate the cost per egg for each of the two different-sized cartons in order to determine the cost per egg that lies between the two costs.

We are aware that the cost of one product is determined by dividing the total cost by the quantity of products.

The price of an egg between 0.24 as well as 0.25 must now be determined.

Note that there is a 0.01 difference between the two fees.

To precisely determine the middle charge, we will split it by two:

0.01/2 = 0.005

This can be added to $0.24 or subtracted from $0.25.

$0.24 + $0.005 = $0.245

So, $0.245 is the maximum price the supermarket can charge per egg.

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The complete question is-

A carton of 12 eggs costs $3.00. A carton of 18 eggs costs $4.32. Suppose a supermarket wants to sell the eggs individually. Is there a price the supermarket can charge per egg that is between the prices per egg for the two different-sized cartons? Explain

Answer:

<DFA

Step-by-step explanation:

When combined (<DFA and <DFE), they'll form 90 degrees which will make them complementary

Answer:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. If two angles are complementary then they will add up to be 90, or inversely, if two angles add up to be 90, then they are complementary. If you know one acute angle, you can calculate its complementary angle by subtracting 90 and the angle. When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

The complement of −135° is the angle that when added to −135° forms a right angle (90° ).

Step-by-step explanation:

In summary, we are asked to determine the number of independent parameters in a Naive Bayes classifier. The Naive Bayes classifier is a probabilistic machine learning model that assumes independence between features given the class label.

To calculate the number of independent parameters, we need to consider the number of features and the number of classes in the dataset. For each feature, the classifier estimates the conditional probability of that feature given each class. . Therefore, the total number of independent parameters in the Naive Bayes classifier can be calculated by multiplying the number of features by the number of classes, and then multiplying the result by the number of possible values for each feature. For example, if we have m features, k classes, and n possible values for each feature, the total number of independent parameters would be m k n. Each independent parameter represents a specific conditional probability value in the Naive Bayes model. It's important to note that the Naive Bayes assumption of feature independence simplifies the model and reduces the number of parameters required for training. However, it also introduces a limitation in cases where the features are not truly independent.

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The scale factor of triangle PQR to triangle STU is 3/2

Scale factors are used to increase or decrease image. The situation of increment is usually called magnifying.

Taking a point of reference say PR and SU

PR = 8

SU = 12

let the scale factor be r such that

8 * r = 12

r = 12 / 8

r  = 3/2

checking with other sides

PR to UT

6 * 2/3 = 9 correct

QP to TS

10 * 3/2 = 15 correct

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Part 1: The four positions in the executive committee can be filled in 3024 ways. Part 2: If it does not matter who gets which position, there are several ways to choose four people for the executive committee.

Part 1:

To determine the number of ways to fill the four positions in the executive committee, we need to consider that each position can be filled by a different member from the nine-member Student Council. We can use the concept of permutations to calculate this.

The first position can be filled by any of the nine members. Once the first position is filled, there are eight remaining members to choose from for the second position. Similarly, there are seven members left for the third position and six members for the fourth position.

Therefore, the total number of ways to fill the four positions is calculated as:

9 * 8 * 7 * 6 = 3024 ways.

Part 2:

If it does not matter who gets which position, we are essentially choosing a group of four members from the nine-member Student Council. In this case, we can use the concept of combinations.

The number of ways to choose four people from a group of nine can be calculated using the combination formula:

C(9, 4) = 9! / (4! * (9-4)!) = 9! / (4! * 5!) = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1) = 126 ways.

Therefore, if it does not matter who gets which position, there are 126 ways to choose four people for the executive committee.

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The solution to the inequality is option B: b ≤ 1 (7/10).

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

The inequality equation is 7/2 ≥ b + 9/5.

Write the inequality in standard form -

7/2 = b + 9/5

Simplify the equation -

b = 7/2 - 9/5

b = (35-18) / 10

b = 17 / 10

b = 1 (7/10)

Apply the inequality symbol -

b ≤  1 (7/10)

Therefore, the solution is 1 (7/10).

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Choose the solution to this inequality.

7/2≥b+9/5

A. b≥2/5

B. b≤1(7/10)

C. b≤−2/3

D. b<2(2/7)

The Probability = (number of candidates - 1) * (number of committee members) / (number of candidates ^ number of committee members)

The probability that a candidate will be selected with only one dissenting vote depends on the total number of committee members and the number of candidates.

First, we need to calculate the total number of ways that the committee members can vote. This is equal to the number of candidates raised to the power of the number of committee members. For example, if there are 3 candidates and 5 committee members, the total number of ways that the committee members can vote is 3^5 = 243.

Next, we need to calculate the number of ways that a candidate can be selected with only one dissenting vote. This is equal to the number of candidates minus 1 (for the dissenting vote) multiplied by the number of committee members (for the number of ways that the dissenting vote can be placed).

For example, if there are 3 candidates and 5 committee members, the number of ways that a candidate can be selected with only one dissenting vote is (3-1) * 5 = 10.

Finally, we can calculate the probability by dividing the number of ways that a candidate can be selected with only one dissenting vote by the total number of ways that the committee members can vote. For example, if there are 3 candidates and 5 committee members, the probability is 10/243 = 0.041. In general, the probability that a candidate will be selected with only one dissenting vote is: Probability = (number of candidates - 1) * (number of committee members) / (number of candidates ^ number of committee members)

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The discontinuity of the function f(x) = 1 / (2 tan x - 2) occurs when the denominator of the fraction becomes zero, as division by zero is undefined. Thus, we need to find the values of x that make 2 tan x - 2 equal to zero.

2 tan x - 2 = 0

tan x = 1

x = π/4 + nπ, where n is an integer, Therefore, the discontinuity of the function occurs at x = π/4 + nπ.
To find the discontinuity of the function f(x) = 1 / (2 tan x - 2), we need to determine the values of x for which the denominator becomes zero, as the function will be undefined at these points.

The denominator is given by:

2 tan x - 2

Let's find the values of x for which this expression becomes zero:

2 tan x - 2 = 0

Now, isolate tan x:

2 tan x = 2

tan x = 1

The tangent function has a period of π, so the general solution for x is:

x = arctan(1) + nπ

where n is an integer.

The arctan(1) value is π/4, so the general solution becomes:

x = π/4 + nπ

So, the function f(x) = 1 / (2 tan x - 2) has discontinuities at x = π/4 + nπ, where n is an integer.

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The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

Answer:

k = 12

Step-by-step explanation:

isolate the variable; divide both sides that dont contain the variable

Answer:

K=12

Step-by-step explanation:

-144π = -12πk

divide by -12π on both sides to find k

-144π / -12π = k

12 = k

The correct answer is the fourth option: "On a coordinate plane, parallelogram R prime S prime T prime U prime has points (3.2, 4.8), (5.5, 2.5), (5.5, negative 0.5), (3.2, 1.8)."

we can follow the steps outlined in the previous response. First, we plot the vertices of parallelogram RSTU: (2, 3), (5, 3), (7, 1), (4, 1). Then, we apply the rotation transformation to each vertex using the formulas provided, and obtain the coordinates of R', S', T', and U': (3.2, 4.8), (5.5, 2.5), (5.5, -0.5), (3.2, 1.8). Finally, we plot these transformed vertices to obtain parallelogram R'S'T'U'. This parallelogram corresponds to the fourth option in the answer choices.

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Complete question is :

Parallelogram RSTU is rotated 45° clockwise using the origin as the center of rotation. On a coordinate plane, parallelogram R S T U has points (2, 3), (5, 3), (7, 1), (4, 1). Which graph shows the image of RSTU? On a coordinate plane, parallelogram R prime S prime T prime U prime has points (negative 1, 4), (1, 6), (4, 6), (2, 4). On a coordinate plane, parallelogram R prime S prime T prime U prime has points (3.5, 1), (5.5, negative 1), (5.5, negative 4), (3.5, negative 2). On a coordinate plane, parallelogram R prime S prime T prime U prime has points (2, negative 3), (5, negative 3), (7, negative 1), (4, negative 1). On a coordinate plane, parallelogram R prime S prime T prime U prime has points (3.2, 4.8), (5.5, 2.5), (5.5, negative 0.5), (3.2, 1.8).

Answer:

The length of the diagonal from P to Q is

\( \sqrt{ {9}^{2} + {12}^{2} + {8}^{2} } = \sqrt{289} = 17\)

a. The optimum price the retailer should charge per pair for all four weeks is 0.5. The corresponding revenue: Total Revenue(optimal) = (1,000 - 100 × optimal) × (0.5 × 700) - 100 ×(0.5²× 700²)

To determine the optimum price the retailer should charge per pair for all four weeks, we need to find the price that maximizes the total revenue over the four-week period.

Let's calculate the revenue for each week using the demand functions given:

Week 1:

Revenue1(p1) = p1 × d1(p1)

           = p1 × (1,000 - 100p1)

           = 1,000p1 - 100p1²

Week 2:

Revenue2(p2) = p2 × d2(p2)

           = p2 × (800 - 100p2)

           = 800p2 - 100p2²

Week 3:

Revenue3(p3) = p3 × d3(p3)

           = p3 × (700 - 100p3)

           = 700p3 - 100p3²

Week 4:

Revenue4(p4) = p4 × d4(p4)

           = p4 × (600 - 100p4)

           = 600p4 - 100p4²

To find the optimum price, we need to maximize the total revenue over the four weeks, which can be expressed as:

Total Revenue(p) = Revenue1(p) + Revenue2(p) + Revenue3(p) + Revenue4(p)

Now let's calculate the total revenue:

Total Revenue(p) = (1,000p1 - 100p1²) + (800p2 - 100p2^2) + (700p3 - 100p3²) + (600p4 - 100p4²)

Since the retailer can only set one price for all four weeks, we can simplify the total revenue equation:

Total Revenue(p) = (1,000 - 100p) × (p1 + p2 + p3 + p4) - 100 ×(p1² + p2² + p3² + p4²)

We want to find the value of p that maximizes Total Revenue(p). To do that, we'll differentiate Total Revenue(p) with respect to p and set it equal to 0:

d(Total Revenue(p))/dp = 0

Differentiating and simplifying the equation, we get:

-100 × (p1 + p2 + p3 + p4) + 2 × 100 × (p1² + p2² + p3² + p4²) = 0

Simplifying further:

-100 + 200 × (p1 + p2 + p3 + p4) = 0

p1 + p2 + p3 + p4 = 0.5

Since we know that p1, p2, p3, and p4 represent proportions (between 0 and 1) of the 700 pairs of pants, we can interpret the equation as the sum of the proportions being equal to 0.5.

Therefore, to maximize revenue, the retailer should set the price such that half of the 700 pairs are sold. The corresponding revenue can be calculated by substituting the optimal price into the Total Revenue equation.

Let's calculate the corresponding revenue:

Total Revenue(optimal) = (1,000 - 100 × optimal) × (0.5 × 700) - 100 ×(0.5²× 700²)

Now we can calculate the optimal price and corresponding revenue.

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The value of a is 39/5 - 2, which simplifies to 9.84 by  equate the given integral to the expression a | 39/5 - 2.

To determine the value of a, we need to equate the given integral to the expression a | 39/5 - 2. Let's simplify the integral first:

3(4x + x^2)(10x^2 + x^3 – 2) dx

Expanding and combining like terms, we get:

3(40x^4 + 10x^3 - 8x^2 + 4x^3 + x^4 - 2x^2) dx

Simplifying further:

3(41x^4 + 14x^3 - 10x^2) dx

Now, let's integrate this expression:

∫3(41x^4 + 14x^3 - 10x^2) dx

= 3(8.2x^5/5 + 7x^4/2 - 10x^3/3) + C

= 49.2x^5/5 + 10.5x^4 - 10x^3 + C

Setting this equal to a | 39/5 - 2, we have:

49.2x^5/5 + 10.5x^4 - 10x^3 + C = a | 39/5 - 2

Comparing coefficients, we find:

a = 49.2/5

a = 9.84

Therefore, the value of a is 39/5 - 2, which can be simplified as 9.84.

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