Over the last six months, the following numbers of absences have been reported: 10, 16, 12, 18, 2, and 14. What is the median number of monthly absences?

Answer:

8 + 6t

Step-by-step explanation:

just distribute the negative signs in front of the parenthesis which is technically just -1

or if its easier, just multiply the numbers inside the parenthesis by -1 and get rid of the parenthesis

Answer:

man you are right it is difficult

Answer:

360

Step-by-step explanation: Hope this helps you

btw can i have brainliest?

Answer:

Your answer is 360.

Step-by-step explanation:

I used my scientific calculator. You can search one online and type in the equation. It gives the exact answer for you.

(I hope this helps you! Please mark brainiest if you can! :D)

The correct answer is: b) All of the options are correct.

While options a), c), d), and e) are all valid similarities between seasonal and cycle factors, option b) is not accurate. Seasonal and cycle factors do not necessarily sum to the number of data points in the averaging process.

Seasonal factors capture patterns that repeat within a year, such as seasonal variations in sales during different months. They do not necessarily involve summing to the number of data points.

Cycle factors, on the other hand, capture longer-term patterns that repeat over a longer period, such as economic cycles or business cycles. Again, they do not necessarily sum to the number of data points.

So, option b) is not a valid similarity between seasonal and cycle factors.

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The rectangular pice has a wide of 24 inches and 40 inches long so we can calculate the area of the rectangle:

Now they say that Lenna folds the piece of fabric along its diagonal so the triangle will have halve of the area of the triangle, so que so we can divide the area of the trangle by 2

So the triangle has an area o

Currently, the age of Elsie is six years.

We have to look at the equation that can be made from the sentence that has been given in the question that we have in this problem. We have been told about the age of Elsie in five years and then we have what the age would be in eight years.

Let Elsie's age be x;

Five years ago = x - 5

Eight years time x + 8

We have in the question that;

x - 5 = 1/2( x + 8)

2x - 10 =  x + 8

2x + x = 8 + 10

3x = 18

x = 6 years

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Answer:

4\(\sqrt{3}\)

Step-by-step explanation:

\(\sqrt{48}\) is not in simplest form, however, 48 contains a perfect square as a factor, that is 16 × 3

using the rule of radicals

\(\sqrt{ab}\) ⇔ \(\sqrt{a}\) × \(\sqrt{b}\) , then

\(\sqrt{48}\)

= \(\sqrt{16(3)}\)

= \(\sqrt{16}\) × \(\sqrt{3}\)

= 4\(\sqrt{3}\) ← in simplest form

Answer:

total no. of rows in garden= 345 each row contains= 48 flowers

total no. of flowers in the garden= 345*48=16560

Answer:

16,560

Step-by-step explanation:

No of rows = 345

No. of flowers in each row = 48

Estimated no of flowers in the garden

= No of rows * No of flowers in each row

= 345*48

= 16,560

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Answer:

\(\dfrac{\sqrt{11}}{6}\)

Step-by-step explanation:

Form a triangle in Quadrant 2 with a leg of length -5 and hypotenuse of length 6. Use the Pythagorean theorem to solve for the other leg, which turns out to be \(\sqrt{11}\). Finally use the definition of sine to solve the problem.

\(\sin(\theta) = \sin(\cos^{-1}(-\dfrac{5}{6})) = \dfrac{\sqrt{11}}{6}\)

a) The parameter of interest is the proportion of people 65 years or older in the United States.

b) The assumptions include the sample is random, the sample size is large and observations are independent.

c) The 90% confidence interval lie in (0.198, 0.51).

d) We are 90% confident that the true proportion of people 65 years or older lies between 0.198 and 0.51.

a) The parameter of interest is the proportion of people 65 years or older in the United States who have an active Netflix subscription.

b) The assumptions needed for constructing the appropriate confidence interval for the proportion include: 1) the sample is random, 2) the sample size is sufficiently large (at least 10 times the number of successes and failures), and 3) the observations are independent.

To check these assumptions, we need to verify that the sample is indeed random, and that the sample size is large enough. Since the sample size is 65 and the number of successes (i.e., those with an active Netflix subscription) is 23, we can assume that the sample size is sufficiently large.

Additionally, we assume that each person in the sample has an independent probability of having an active Netflix subscription.

c) To find a 90% confidence interval for the proportion of people 65 years or older in the United States with an active Netflix subscription, we can use the normal approximation to the binomial distribution. The formula for the confidence interval is:

p' ± z*(√(p'(1-p'))/n)

where p' is the sample proportion (23/65), z* is the critical value from the standard normal distribution corresponding to a 90% confidence level (1.645), and n is the sample size (65).

Plugging in the values, we get:

0.354 ± 1.645*(√(0.354*(1-0.354))/65)

This simplifies to:

(0.198, 0.51)

d) We are 90% confident that the true proportion of people 65 years or older in the United States with an active Netflix subscription lies between 0.198 and 0.51. This means that if we were to repeat this study many times and construct a 90% confidence interval for each study, we would expect that 90% of these intervals would contain the true proportion.

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Graphs with a nonzero axis most misleading as they distort differences between values.

What is a graph ?

Graph can be defined as the visual representation of data in the form of given ordered pairs.

A professional who specializes in interest rates might find the information in the left-hand graph quite useful.

They distort differences between values.

We have given that, a graph

They distort differences between values,

So distort differences between values can be,

Non-zero axes distort differences between values, but they are not always misleading.

It depends on who is looking at them.

Consider the bar graphs , showing the change in interest rates over time.

A reader might conclude that interest rates had risen sharply (the zero-axis shows that they have remained steady).

However, a professional who specializes in interest rates might find the information in the left-hand graph quite useful.

Hence, Graphs with a nonzero axis most misleading as they distort differences between values.

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Answer:

\(\frac{1}{6}\)

Step-by-step explanation:

let the denominator of the fraction be x , then the fraction is

\(\frac{x-5}{x}\)

increasing the numerator and denominator by 4

\(\frac{x-5+4}{x+4}\) = \(\frac{x-1}{x+4}\)

this fraction is then equal to 3 times ( triple ) the value of the fraction, so

\(\frac{x-1}{x+4}\) = \(\frac{3(x-5)}{x}\) ( cross- multiplying )

3(x - 5)(x + 4) = x(x - 1) ← expand factors on left using FOIL

3(x² - x - 20) = x(x - 1) ← distribute parenthesis on both sides

3x² - 3x - 60 = x² - x ( subtract x² - x from both sides )

2x² - 2x - 60 = 0 ( divide through by 2 )

x² - x - 30 = 0 ← in standard form

(x - 6)(x + 5) = 0

equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 5 = 0 ⇒ x = - 5

however, x > 0 , then x = 6

original fraction

= \(\frac{x-5}{x}\) = \(\frac{6-5}{6}\) = \(\frac{1}{6}\)

The surface area of the cuboid is 3.286 cm²

A cuboid is a solid shape or a three-dimensional shape.

Surface area is the amount of space covering the outside of a three-dimensional shape.

The surface area of a cuboid is expressed as;

SA = 2( lb + lh + bh)

length = 1 2/5 = 7/5

breadth = 5/8

height = 3/8

lb = 7/5 × 5/8 = 7/8

bh = 5/8 × 3/8 = 15/64

lh = 7/5 × 3/8 = 21/40

surface area =2( 7/8 + 15/64+21/40)

= 2( 0.875 + 0.234 + 0.525)

= 2( 1.634)

= 3.268 cm²

The surface area of the cuboid is 3.268 cm²

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According to the question the function over the interval \(\([-1, 2]\)\) to find the area of the region.

1. Find the points of intersection by setting \(\(f(y) = g(y)\)\) and solving for \(\(y\)\).

 \(\(y^2 = y + 2\)\)

  Rearranging, we get \(\(y^2 - y - 2 = 0\)\)

  Factoring, we have \(\((y - 2)(y + 1) = 0\)\)

  So the points of intersection are \(\(y = 2\) and \(y = -1\).\)

2. Sketch the graphs of the functions \(\(f(y) = y^2\) and \(g(y) = y + 2\)\) on a coordinate plane.

3. Shade the region bounded by the two graphs between the points of intersection.

4. Calculate the area of the shaded region using definite integration:

\(\(\text{Area} = \int_{-1}^{2} (f(y) - g(y)) \, dy\)\)

To evaluate the integral and find the area of the region between the graphs of \(\(f(y) = y^2\) and \(g(y) = y + 2\)\), we need to integrate the difference between the two functions over the given interval.

The interval of integration is \(\([-1, 2]\)\), which corresponds to the points of intersection.

Using definite integration, we have:

\(\(\text{Area} = \int_{-1}^{2} (f(y) - g(y)) \, dy = \int_{-1}^{2} (y^2 - (y + 2)) \, dy\)\)

Simplifying the integrand, we get:

\(\(\text{Area} = \int_{-1}^{2} (y^2 - y - 2) \, dy\)\)

Now, integrate the function over the interval \(\([-1, 2]\)\) to find the area of the region.

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P = 90 is the solution for the given equation.

Given: Qd=95−4

PQs=5+P

To find Qd if P=5:

Put P = 5 in the equation

Qd=95−4P

Qd = 95 - 4 x 5

Qd = 75

So, Qd = 75.

To find P if Qs = 20:

Put Qs = 20 in the equation

Qs = 5 + PP

= Qs - 5P

= 20 - 5P

= 15

So, P = 15.

To solve Qd=Qs, substitute Qd and Qs with their respective values.

Qd = Qs

95 - 4P = 5 + P

Subtract P from both sides.

95 - 4P - P = 5

Add 4P to both sides.

95 - P = 5

Subtract 95 from both sides.

- P = - 90

Divide both sides by - 1.

P = 90

Thus, P = 90 is the solution for the given equation.

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Answer:

22 inches

Step-by-step explanation:

so to find the diameter you divide the circumference by pi(3.14)

69.1÷3.14=22.006

now rounding that you get 22

Answer: 77 guests (I think)

Step-by-step explanation:

We are given the equation of a solid, E that is enclosed by surfaces z = 0,

\(z = x² + y²\), and inside the cylinder,

\(x² + y² = 4\). We need to evaluate the triple integral,\(∭E xy dV\). In cylindrical coordinates, the given surfaces will be represented as:

z = 0 ⇒ z

= r cos θz

= x² + y² ⇒ z

= r²x² + y²

= 4 ⇒ r²

= 4 ⇒ r

= 2.

We need to find the limits of integration for the cylindrical coordinates. We know that the cylindrical coordinates are given by, x = r cos θ,

y = r sin θ, and

z = z. Let's consider the limits of integration for z first. z will vary between the surfaces

z = 0 and

z = r².

For any z between 0 and r², we have 0 ≤ z ≤ r².The circle defined by the cylinder x² + y² = 4 in the\(xy\)plane will have a radius of 2.

Therefore, the limits of integration for r will be from 0 to 2. Lastly, θ will vary between 0 and 2π. Therefore, the limits of integration for θ will be from 0 to 2π.

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The complete solution to the given ordinary differential equation (ODE)is:

\(y(x) = y_h(x) + y_p(x) = 5e^{6x} - 2e^{-2x} + 10e^{-2x} = 5e^{6x} + 8e^{-2x}\)

To solve the second-order ordinary differential equation (ODE) using the method of undetermined coefficients, we assume a particular solution of the form:

\(y_p(x) = A e^{-2x}\)

where A is a constant to be determined.

Next, we find the first and second derivatives of \(y_p(x)\):

\(y_p'(x) = -2A e^{-2x}\\y_p''(x) = 4A e^{-2x}\)

Substituting these derivatives into the original ODE, we get:

\(4A e^{-2x} - 4(-2A e^{-2x}) - 12(A e^{-2x}) = 10e^{-2x}\)

Simplifying the equation:

\(4A e^{-2x} + 8A e^{-2x} - 12A e^{-2x} = 10e^{-2x}\)

Combining like terms:

\((A e^{-2x}) = 10e^{-2x}\)

Comparing the coefficients on both sides, we have:

A = 10

Therefore, the particular solution is:

\(y_p(x) = 10e^{-2x}\)

To find the complete solution, we need to find the homogeneous solution. The characteristic equation for the homogeneous equation y'' - 4y' - 12y = 0 is:

r² - 4r - 12 = 0

Factoring the equation:

(r - 6)(r + 2) = 0

Solving for the roots:

r = 6, r = -2

The homogeneous solution is given by:

\(y_h(x) = C1 e^{6x} + C2 e^{-2x}\)

where C1 and C2 are constants to be determined.

Using the initial conditions y(0) = 3 and y'(0) = -14, we can solve for C1 and C2:

y(0) = C1 + C2 = 3

y'(0) = 6C1 - 2C2 = -14

Solving these equations simultaneously, we find C1 = 5 and C2 = -2.

Therefore, the complete solution to the given ODE is:

\(y(x) = y_h(x) + y_p(x) = 5e^{6x} - 2e^{-2x} + 10e^{-2x} = 5e^{6x} + 8e^{-2x}\)

The question is:

Use the method of undetermined coefficients to solve the second order ODE y'' - 4 y' - 12y = 10\(e ^{- 2x}\), y(0) = 3, y' (0) = - 14

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Answer:

A

Step-by-step explanation:

The definition of a parrelelogram is "a four-sided plane rectilinear figure with opposite sides parallel". Since you already know that EH and Fg are equal because of the black ticks on them. Now you only need to find out wheter or not  EF≅HG to meet the criteria of a parrelologram.

Answer:

Step-by-step explanation:

A

The true statements are

The original statement is given as:

If a number is negative, the additive inverse is positive

This can be represented as

If p, then q

i.e. if p → q

So, (a) is correct

For the inverse, we simply negate the hypothesis and the conclusion

i.e. if ¬p → ¬q ----(b) is correct

For the converse, we simply switch the hypothesis and the conclusion

i.e. if q → p ----(e) is correct

Hence, the true statements are (a), (b) and (e)

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The scale factor used in the dilation of the triangle ABC is 3.

Dilation is a method for generating analogous figures decreasing or increasing their dimensions by some scaling factors.

By dividing distances by the scale factor, each point is stretched outward from the central point D if the scaling factor is more than 1 or inwards if the scale factor is less than 1.

Considering the triangle ABC:

The length of the side AB is 2 units

Compared with triangle DEF, the length of the similar side DE is 6 units

The scaling factor = length of side DE /length of the side AB

The scaling factor = 6 / 2

The scaling factor = 3

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The corresponding values for the triangle in the larger circle are;

1. Perimeter of Δ BSH = 71.4 cm

2. The measure of ∠SBH = 102°.

3.  The area of Δ BSH = 41.54 cm²

4. The length of the circumference of circle B = 52.275 cm

1. The ratio of the perimeters of similar triangles is equal to the ratio of their corresponding sides. Since OB/OA = 4.25, we have:

Perimeter(Δ BSH) = Perimeter(Δ ARG) × 4.25

Perimeter(Δ BSH) = 16.8 cm × 4.25 = 71.4 cm

2. Since the triangles are similar, their corresponding angles are congruent. Therefore, ∠SBH = ∠RAG = 102°.

3. The ratio of the areas of similar triangles is equal to the square of the ratio of their corresponding sides. Since OB/OA = 4.25, we have:

Area(Δ BSH) = Area(Δ ARG) × (4.25)²

Area(Δ BSH) = 2.3 cm² × (4.25)² = 2.3 cm² × 18.0625 = 41.54 cm²

4. The ratio of the circumferences of similar circles is equal to the ratio of their radii or diameters. Since OB/OA = 4.25, we have:

Circumference(circle B) = Circumference(circle A) × 4.25

Circumference(circle B) = 12.3 cm × 4.25 = 52.275 cm

The above answers are in response to the following questions below;

Dante created the following measurements and calculations:

He then made the following measurements and calculations:

He calculated the ratio OB = 4.25.

                                      OA

He measured the perimeter of Δ ARG, and found it to be 16.8 cm.

He measured ∠RAG = 102°.

He calculated the area of Δ ARG, and found it to be 2.3 cm2.

He calculated the circumference of circle A, and found it to be approximately 12.3 cm.

He would now like to calculate corresponding values for the triangle in the larger circle, and he needs your help.

Calculate the following, using your knowledge that all circles are similar, along with the data already collected by Noah..

5. Find the perimeter of Δ BSH.

6. Find the measure of ∠SBH.

7. Find the area of Δ BSH.

8. Find the length of the circumference of circle B.

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Answer:

180 i think if you are not sure with my ans then just don't use it k bey

Step-by-step explanation:

The difference between groups and the sample size makes the results of a study statistically significant.

Statistical significance is a measure of the likelihood that the results of a study are not due to chance. In order for a result to be statistically significant, it must meet two criteria:

The difference between groups must be large enough to be unlikely to occur by chance. This is typically assessed using a statistical test such as a t-test or an ANOVA.

The result of the test is expressed as a p-value, which represents the probability of obtaining the observed results if there were no true difference between groups. A p-value of less than 0.05 (or 5%) is generally considered to be statistically significant.

The sample size must be large enough to reduce the possibility of sampling error. A larger sample size generally increases the power of a study, making it more likely to detect a true effect.

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Answer:

B

Step-by-step explanation:

im bad at explaining this :(

Answer:

New number of fruits sold = 7 fruits

Step-by-step explanation:

Given:

Total number of fruits = 24

Amount raised = $18

More amount need to earn = $5.25

Find:

New number of fruits sold

Computation:

New number of fruits sold = [24 / 18]5.25

New number of fruits sold = 6.9999

New number of fruits sold = 7 fruits

To determine the percentage of total demand satisfied by recycled ore, we need to compare the marginal costs of mining and recycling and find the quantity at which these costs are equal.

This quantity represents the point at which the industry switches from mining to recycling. By substituting this quantity into the demand curve equation, we can calculate the total quantity demanded. Finally, we can calculate the percentage of total demand satisfied by recycled ore.

The inverse demand curve for ore is given by P = 93 - 0.04Q, where P represents the price and Q represents the quantity demanded. We have two sources of ore: mining and recycling. The marginal cost of mining (MC1) is 7q1, where q1 is the quantity mined. The marginal cost of obtaining ore through recycling (MC2) is 18 + q2, where q2 is the quantity obtained through recycling.

To find the quantity at which the industry switches from mining to recycling, we set the marginal costs equal to each other: 7q1 = 18 + q2. Solving for q1, we get q1 = (18 + q2)/7.

Substituting this quantity into the demand curve equation, we have 93 - 0.04((18 + q2)/7) = P. Solving for P, we find P = 92.5714 - 0.0057q2.

To calculate the total quantity demanded, we set the price equal to zero: 92.5714 - 0.0057q2 = 0. Solving for q2, we get q2 = 16,189.474.

Now, we can calculate the percentage of total demand satisfied by recycled ore. The percentage is given by (q2 / (q1 + q2)) * 100. Substituting the values, we have (16,189.474 / (16,189.474 + q1)) * 100.

In conclusion, to find the exact percentage, we need to know the quantity q1 mined, which is not provided in the given information. Therefore, we cannot calculate the precise percentage of total demand satisfied by recycled ore without additional data.

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