With media clutter and fragmentation: Select one: a. there are very few media choices available to advertisers. b. the probability of any one advertisement making a real difference has increased manifold. c. promotion options are no longer attractive to advertisers. d. integrated brand is all the more important.

The answer is \(P(1.4 \leq X \leq 3.4) \geq 1-\frac{1}{k^2}=1-\frac{1}{4}=0.75\), by using the Chebyshev's inequality with k=2.

Chebyshev's inequality applied to data sets of any type; that is, there is no need that the distribution of data is to be symmetric. And as per this inequality, the proportion of \((1-\frac{1}{k^{2} } )\) data values will fall within the k number of standard deviation from the value of mean.

Using Chebyshev's inequality with k=2, we can determine that at least 75% of the marathon runners completed the race within 3.4 hours (2.4 + 2*0.5). It means at least 75% of the marathon runners completed the race in less than 3.4 hours. Mathematically, this can be represented as:

                     \(P(1.4 \leq X \leq 3.4) \geq 1-\frac{1}{k^2}=1-\frac{1}{4}=0.75\)

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Answer: 163.36 in

Step-by-step explanation: Using the formula C=2πr you can plug in the radius and get your answer.

C=2 x pi x 26

C = 163.362817987

round as needed

Answer: 163.36

Im pretty sure all you have to do is use the formula

C=2πr

Step-by-step explanation:

C=2π(26)

163.36

the volume of the prism is 3000 cubic meters

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

Given a prism, to calculate the volume of the given prism we need to slice it into three pieces

From the general formula of the Volume of the cuboid:

volume = height * base * width

For the first piece:(base one)

Volume = 5 * 15 *20

Volume = 1500 cubic meters

For the second piece: (Left one)

Volume = 10 * 5 *20

Volume = 1000 cubic meters

For the third piece:(right one)

Volume   = 5* 5*20

Volume = 500

thus,

the final value = 500 +1500 + 1000

Volume = 3000 cubic meters

Therefore, the volume of the prism is 3000 cubic meters

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The equation that visualizes the full linear model of the data in a randomized block design with each treatment replicated once per block is: RESPONSE = CONSTANT + BLOCK + TREATMENT

In a randomized block design, the goal is to control the variability associated with the blocks while examining the effect of different treatments.

The equation RESPONSE = CONSTANT + BLOCK + TREATMENT represents the full linear model, where RESPONSE is the dependent variable, CONSTANT is the intercept term, BLOCK is the categorical variable representing the blocks, and TREATMENT is the categorical variable representing the treatments.

Including the BLOCK term in the model allows us to account for the variation associated with different blocks, while the TREATMENT term represents the effect of the treatments.

The model assumes that the effect of the treatments is the same across all blocks.

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Answer:

262.25 inches

Step-by-step explanation:

65% of 165 is 107.25

107.25+165=272.25

so the truck is 262.25 inches long

it would be 1.56

hope this helps :)

Answer:

1,600 / 1.56

Step-by-step explanation:

Just round the 564 to a 600 :)

or the 4 just *poof*

Therefore, the covariance of 1.07x and 2y is approximately 11.984.

To find the covariance of 1.07x and 2y, we can use the property that the covariance is linear with respect to scalars. In other words, cov(aX, bY) = ab * cov(X, Y) for any constants a and b.

Given:

cov(x, y) = 5.6

Let's calculate the covariance of 1.07x and 2y:

cov(1.07x, 2y) = (1.07 * 2) * cov(x, y)

= 2.14 * 5.6

≈ 11.984

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The percentage error is 11.1%

Percentage error is simply the difference between the exact and the estimated values as a percentage

The given parameters are:

The percentage error is then calculated as:

\(\% E = \frac{50 - 45}{45} \times 100\%\)

Evaluate the difference

\(\% E = \frac{5}{45} \times 100\%\)

So, we have:

\(\% E = \frac{500}{45} \%\)

\(\% E = 11.1\%\)

Hence, the percentage error is 11.1%

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Answer:

$16

Step-by-step explanation:

If 3 rides cost $28 and 6 rides cost 40, each ride costs $4. 28 - (3 x 4) = $16 admission fee

The circumcenter of a triangle is the point in the plane equidistant from the three vertices of the triangle.

In geometry, the circumscribed circle or circumcircle of a polygon is a circle that passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius.

Not every polygon has a circumscribed circle. A polygon that does have one is called a cyclic polygon, or sometimes a concyclic polygon because its vertices are concyclic. All triangles, all regular simple polygons, all rectangles, all isosceles trapezoids, and all right kites are cyclic.

A related notion is the one of a minimum bounding circle, which is the smallest circle that completely contains the polygon within it, if the circle's center is within the polygon. Every polygon has a unique minimum bounding circle, which may be constructed by a linear time algorithm.

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Answer:

Yes they are congruent

Option B is correct

Step-by-step explanation:

Opisite sides of parallelogram are congurent so,

BA is congruent to CD (side)

And

BE I congruent to ED (Side)

AE is congruent to EC (Side)

So according to side-side-side congurence theorem triangle ABE is congruent to triangle CDE

Hope you understand :)

Answer:

The correct option are;

i) The line segment must connect an _1_ (open) circle at point B to an _1_ (open) circle at point D.

ii) The line segment must connect an _1_ (open) circle at point B to a _2_ (closed) circle at point C

Step-by-step explanation:

The parameters given are;

Domain: \(\{x|-4<x\leq 4, x \in R \}\)

Range: \(\{y|-4\leq y< 4, y \in R \}\)

Given that to indicate less than (<) on a graph of an inequality, we draw an circle over the point in reference while to indicate less than or equal to (≤) we draw an circle over the point in reference and shade the point, therefore we have;

Given that x > -4, and ≤ 4, the points B and C satisfies the conditions

Given that the y-coordinates are y ≥ -4, and y < 4, the points D and C satisfies the conditions

Where:

Point B = (4, 4) satisfies x only

Point C = (4, -4) satisfies x and y

Point D = (-4, -4) satisfies y only

Therefore, in order to draw a line segment between two points;

i) The line segment must connect an _1_ (open) circle at point B to an _1_ (open) circle at point D.

ii) The line segment must connect an _1_ (open) circle at point B to a _2_ (closed) circle at point C.

Answer:

The value of the exponent of the base 10 for this product is -2.

Step-by-step explanation:

\(5.86\,\,10^{-7}\,\,*\,\,3.1\,\,10^4=18.166\,\,10^{-7+4}=18.166\,\,10^{-3}\)

Now, in order to represent this number in scientific notation, we need to reduce the coefficient 18.166 to a coefficient larger or equal to 1 and smaller strictly than 10, by using division or multiplications by powers of 10. In order to reduce it to 1.8166, we need to divide the original 18.166 by ten so we do the following in order not to change the given number (multiply and divide by ten at the same time):

\(\frac{18.166\,\,10}{10} \,10^{-3}=1.8166\,*\,10\,*\,10^{-3}=1.8166\,\,10^{-2}\)

Answer:

-2

Step-by-step explanation:

1. Write the expression:       (5.86 × 10–7)(3.1 × 104)

2. Rearrange the expression:     (5.86 × 3.1)(10–7 ∙ 104)

3. Multiply the coefficients:      (18.166)(10–7 ∙ 104)

4. Apply the product of powers:    18.166 × 10-3

5. Write in scientific notation:     1.8166 × 10n

do all this get negitive two

Answer:

-1

Step-by-step explanation:

Slope: \(m\)

\(m=\frac{y_2-y_1}{x_2-x_1}\) when the given points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in two of the given points

\(m=\frac{0-4}{0-(-4)} \\m=\frac{0-4}{0+4} \\m=\frac{-4}{4} \\m=-1\)

Therefore, the slope of the line is -1.

I hope this helps!

If the variables "r" and "s" are inversely proportional and r=7 when s=6 , then when r = 10 , value of "s" will be 4.2 .

When the two variables are inversely proportional, their product is constant. That means, for two variables "r" and "s" , the it is represented in equation as :

⇒ r × s = k, where k is a constant ;

the value of variable "r" = 7 when s = 6,

First , we have to find the value of k:

⇒ k = r × s = 7 × 6 = 42 ;

So, for any value of r and s, the product "rs" will always be equal to 42.

When r = 10, we can use the equation to find s:

⇒ s = k/r = 42/10 = 4.2

Therefore , when r = 10 , the variable "s" is 4.2.

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The number of ways of dealing a five-card hand from a regular 52-card deck, such that the hand contains at least one card in each suit is 2,593,812

What is the combination?

In simple words, combination involves the selection of objects or things out of a larger group where order doesn't matter. The formula for combination helps to find the number of possible combinations that can be obtained by taking a subset of items from a larger set.

In order to find the number of ways of dealing with a five-card hand from a regular 52-card deck, such that the hand contains at least one card in each suit, we can use the combination formula.

The combination formula is used to find the number of ways to select a certain number of items from a larger group without regard to order.

First, we need to find the total number of ways to select 5 cards from a 52-card deck.

This is given by the combination formula: nCr = n! / (r!(n-r)!)

Where n is the total number of items (52) and r is the number of items to be selected (5).

So, nCr = 52! / (5!47!) = 2, 598, 960

Now we need to subtract the number of ways to select a hand that doesn't contain at least one card of each suit.

We can select 4 cards from one suit and only one card from another suit in 4C1 * 48C4 ways = 448454239/24 = 5148.

Now we can subtract this number from the total number of ways to select 5 cards from a 52-card deck to find the number of ways to select a five-card hand that contains at least one card in each suit:

2598960 - 5148 = 2,593,812

Hence, the number of ways of dealing a five-card hand from a regular 52-card deck, such that the hand contains at least one card in each suit is 2,593,812

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The range of f using set notation is {5, 2, -1, -4}.

The graph of the function f is shown below.

In Mathematics, a range can be defined as the set of all real numbers that connects with the elements of a domain.

Based on the information provided about the function rule, we can calculate the range as follows:

Function, f(x) = 2 - 3x

When the domain x = -1, the range (y) of this function is given by;

f(x) = 2 - 3x

Range, y = 2 - 3(-1)

Range, y = 5

When the domain x = 0, the range (y) of this function is given by;

f(x) = 2 - 3x

Range, y = 2 - 3(0)

Range, y = 2

When the domain x = 1, the range (y) of this function is given by;

f(x) = 2 - 3x

Range, y = 2 - 3(1)

Range, y = -1.

When the domain x = 2, the range (y) of this function is given by;

f(x) = 2 - 3x

Range, y = 2 - 3(2)

Range, y = -4

Therefore, the range in set notation is {5, 2, -1, -4}.

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The p-value of the test statistic is p-value = 0.006. The null hypothesis will be rejected at 5% level of significance.

A two-tailed test in statistics determines if a sample is more than or less than a specific range of values by using a two-sided critical area of a distribution. It is employed in testing the null hypothesis and determining statistical significance. The alternative hypothesis is accepted in place of the null hypothesis if either of the critical areas apply to the sample under test.

A two-tailed test in statistics determines if a sample is greater or less than a range of values by using a two-sided critical area of a distribution.

It is employed in testing the null hypothesis and determining statistical significance.

The alternative hypothesis is accepted in place of the null hypothesis if either of the crucial areas apply to the sample under test.

Conventionally, two-tailed tests with a 2.5% cutoff on each side of the distribution are employed to evaluate significance at the 5% level.

How to calculate the p-value?

Determine the level of relevance, sometimes referred to as the level, in step one. Assume 0.05 if it isn't specified. Step 2: Evaluate the level of significance in relation to the p-value. Make the conclusion that supports the possible change and reject the null hypothesis if the p-value is lower.

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Answer:

A square is the most symmetric shape with a given area, it is the best approximation to a circle and thus requires the least amount of fencing among all rectangles with the same area.

Step-by-step explanation:

Let's assume that the length of the rectangular pasture is x meters and the width is y meters, so the area of the pasture is A = xy square meters. We want to find the dimensions that require the least amount of fencing.

Since no fencing is needed along the river, the length of the pasture can be any value greater than or equal to the square root of A (i.e., x ≥ √A). We can use this information to express the width of the pasture in terms of the length:

y =  \(\frac{A}{x}\)

The amount of fencing required for the perimeter of the rectangular pasture is given by:

P = 2x + y

Substituting y =  \(\frac{A}{x}\), we get:

P = 2x +  \(\frac{A}{x}\)

To find the dimensions that require the least amount of fencing, we can take the derivative of P with respect to x and set it equal to zero:

\(\frac{dP}{dx}\) = 2 -  \(\frac{A}{x^{2}}\) = 0

Solving for x, we get:

x = √\(\frac{A}{2}\)

Substituting this value of x back into the expression for y, we get:

y = √\(\frac{A}{2}\)

Therefore, the dimensions that require the least amount of fencing are a square pasture with side length equal to the square root of half the area:

x = y = √\(\frac{A}{2}\)

This result is known as the isoperimetric inequality, which states that among all shapes with a given area, a circle requires the least amount of perimeter (i.e., fencing).

Since a square is the most symmetric shape with a given area, it is the best approximation to a circle and thus requires the least amount of fencing among all rectangles with the same area.

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The value we can use in the series is \($\sum_{k=0}^\infty 1/k^8\).

To check the convergence we consider two series as

Series 1: \($\sum_{k=0}^\infty \frac{k^8}{5(3-6k+3k^6)^2}$\)

Series 2: \($\sum_{k=0}^\infty \frac{k^8 + k^3 + 4k}{5(3-6k+3k^6)^2}$\)

We employ the p-test, which indicates that the series converges if the ratio of succeeding entries in a series approaches a number less than 1. The ratio of successive terms for Series 1 approaches 1, indicating that Series 1 diverges.

We can infer that Series 2 also diverges because Series 1, which is smaller than Series 2, likewise diverges.

Thus, the given series also diverges.

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If bx = by in the cross product or vector product, the unit-vector notation of the resulting vector would be (0, 0, 1) or simply k-hat.

In the cross product or vector product of two vectors, the resulting vector is perpendicular to both of the original vectors. The direction of the resulting vector is determined by the right-hand rule, where the thumb represents the direction of the cross product.

If bx = by, it means that the x-component of the first vector is equal to the y-component of the second vector. In this case, the resulting vector will have an x-component and y-component of zero.

Since the resulting vector must be perpendicular to both vectors, its z-component must be non-zero. Therefore, the unit-vector notation of the resulting vector would be (0, 0, 1), where the z-component (k-component) is 1.

If bx = by in the cross product, the resulting vector in unit-vector notation would be (0, 0, 1) or simply k-hat. This indicates that the resulting vector has zero components in the x and y directions and a non-zero component in the z direction.

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Answer:

17+3 = 20

Step-by-step explanation:

Answer:

17+3 = 20

Step-by-step explanation:

:)

Answer:

The age of brothers are 4 years and 2 years respectively.

Step-by-step explanation:

We are given that the ages of two brothers have a ratio of 2 to 1. When 4 years have passed, the ratio of their ages will be 8 to 6.

Let the age of the first brother be 'x years' and the age of the second brother be 'y years'.

So, according to the question;

                                      \(\frac{x}{y} =\frac{2}{1}\)  

                                      \(x=2y\)  -------------- [equation 1]

                                       \(\frac{x+4}{y+4}=\frac{8}{6}\)

                               \(6({x+4})=8}(y+4)\)

                               \(6x+24=8y+32\)

                               \(6(2y)+24=8y+32\)

                               \(12y-8y=32-24\)

                                    \(4y=8\)

                                     \(y=\frac{8}{4}\) = 2 years

Putting the value of y in equation 1 we get;

                                     x = 2y

                                      x = \(2 \times 2\) = 4 years

Hence, the age of brothers are 4 years and 2 years respectively.

The Blu-ray movie will cost approximately $36.42 in 5 years with an inflation rate of 12% and continuous compounding.

To calculate the future cost of the Blu-ray movie in 5 years with an inflation rate of 12% and continuous compounding, we can use the formula for continuous compound interest:

A = P * e^(rt)

Where:

A = Future value

P = Present value

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time period in years

In this case, the present value (P) is $19.99, the inflation rate (r) is 12% or 0.12, and the time period (t) is 5 years. Substituting these values into the formula, we get:

A = 19.99 * e^(0.12 * 5)

Calculating the exponent first:

0.12 * 5 = 0.6

Then:

e^0.6 ≈ 1.82212

Finally:

A = 19.99 * 1.82212 ≈ 36.42

Using the formula for continuous compound interest, we calculated that a Blu-ray movie that costs $19.99 today will cost approximately $36.42 in 5 years, assuming an inflation rate of 12% and continuous compounding.

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a. the concentration at 1 day is approximately 0.93 kg/m.

b. the concentration reaches a level of 2 kg/m at approximately 15.87 hours.

c. the concentration approaches a maximum value of 9 kg/m as t approaches infinity.

a. To find the concentration at 1 day, we need to convert 1 day to minutes.

There are 24 hours in a day, and 60 minutes in an hour. Therefore, 1 day = 24 × 60 = 1440 minutes.

Now we can substitute t = 1440 in the given equation and find the concentration at 1 day.

\(\[ c(1440)=\frac{27\times1440}{10000+3\times1440}=0.932 \\)

b. We need to find the time at which the concentration reaches 2 kg/m. We can set the given equation equal to 2 and solve for t.

\(2=\frac{27 t}{10000+3 t}\)

20000+6t=27t

21t=20000

t = 952.38 minutes

c. As time increases, the denominator of the given equation (10000+3t) also increases. we can conclude that the concentration decreases. However, the concentration approaches a maximum value of 9 kg/m as t approaches infinity.

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Answer:

The height of Mrs. Marigold's roof is 10 feet.

Step-by-step explanation:

Given that,

Base of the given triangle = 48 ft

Hypotenuse = 26 ft

Half of the base = 24 ft

Using Pythagoras theorem,

\(h=\sqrt{26^2-24^2}\\\\h=10\ ft\)

So, the height of Mrs. Marigold's roof is 10 feet.

Probability that exactly 8 online bankers have not profited from insider information is C(15, 8) * 0.3^8 * (1 - 0.3)^(15 - 8).

Using the binomial distribution formula and rounding to four decimal places, we can calculate these probabilities and expected values.

To solve these probability problems, we can use the binomial distribution formula:

P(x) = C(n, x) * p^x * (1 - p)^(n - x)

where:

P(x) is the probability of x successes,

C(n, x) is the number of combinations of n items taken x at a time,

p is the probability of success in one trial, and

n is the number of trials.

In this case, let's calculate the probabilities step by step:

Probability that exactly 8 online bankers have not profited from insider information:

n = 15 (number of trials), x = 8 (number of successes), p = 0.3 (probability of success)

P(8) = C(15, 8) * 0.3^8 * (1 - 0.3)^(15 - 8)

Probability that at most 5 online bankers have profited from insider information:

P(x ≤ 5) = P(0) + P(1) + P(2) + P(3) + P(4) + P(5)

= P(0) + P(1) + P(2) + P(3) + P(4) + P(5)

Probability that not all selected online bankers have profited from insider information:

P(not all) = 1 - P(all)

Probability that more than 12 online bankers have profited from insider information:

P(x > 12) = P(13) + P(14) + P(15)

Expected number of online bankers who have profited from insider information:

E(x) = n * p

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a. Pair 2 is selected.

b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.

c. The two systems work together by sharing the region of the mouth and upper throat.

First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.

The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.

The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.

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