Reduce 45/99 to the standard form

A communications audit is intended to assist a company in identifying its communications requirements, procedures, and capabilities.

The communications audit can be defined as "the process wherein internal or external consultants analyze communications within a company with a view to enhancing organizational efficiency."

An evaluation of your communications strategy's effectiveness, including its strengths and limitations, is done through a communications audit, which also offers suggestions for enhancements that will make your communications strategy even more effective.

Your organization's attempts to communicate internally and externally can be improved by developing new strategies and techniques. Maintaining the relevance of your communication efforts and achieving your goals and objectives will be made possible by conducting an audit every two to three years.

Therefore, the correct answer is option a) communications needs, policies, practices, and capabilities

The complete question is:

A communications audit is designed to help an organization determine ________.

a) communications needs, policies, practices, and capabilities

b) the statistical significance of the margins of sampling error

c) the reliability of findings from TV interviews

d) the validity of findings from a telephone interview

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As per inequality, it means that the value of x can be less than or equal to y.

Inequality in Mathematics

The two expressions that make up an equation or an inequality are connected in a mathematical statement. The equal sign (=) in an equation denotes the equality of the two expressions. The symbols >, <, ≤, or ≥ are used to denote an inequality, when the two expressions aren't always equal.

Type of Inequality

The given expression, x <= y denotes the type of inequality where the possible values of x are either less than y or equal to less. The value of x cannot be greater than y in any case.

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Answer:

Step-by-step explanation:

Hi

Complementary means add up to 90 so make it an equation...

90= angle given - angle you want to find

Hope it helps! Comment if you have any questions!

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:V=27

Step-by-step explanation:

To find the cost per ton for each item (topsoil, mulch, and pea gravel), we'll set up a system of equations based on the given information. By solving the system, we can determine the cost per ton for each item.

Let's assume the cost per ton for topsoil is x dollars. Since pea gravel costs $29 less per ton, the cost per ton for pea gravel would be (x - $29) dollars.

Based on the purchases made by Evergreen Landscaping, we can set up the following system of equations:

7x + 4y + 3(x - $29) = $3655

2x + 3y + 8(x - $29) = $3312

In the first equation, we consider the purchase of 7 tons of topsoil, 4 tons of mulch, and 3 tons of pea gravel, with their respective costs per ton. The equation represents the total cost for these items, which should equal $3655.

Similarly, in the second equation, we consider the purchase of 2 tons of topsoil, 3 tons of mulch, and 8 tons of pea gravel, with their respective costs per ton. The equation represents the total cost for these items, which should equal $3312.

By solving this system of equations, we can find the values of x and y, representing the cost per ton for topsoil and mulch, respectively. Once we have those values, we can calculate the cost per ton for pea gravel by subtracting $29 from the cost per ton of topsoil.

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The parametrization for C inducing a counterclockwise orientation and starting at (8, 0) is c(t) (8cos, 8sin) 0 ≤ t ≤ 2π, the parametrization for C inducing a clockwise orientation and starting at (0, 8) is c(t) (8cos, 8sin) 0 ≤ t ≤ 2π and parametrization for C if it is now centered at the point (2, 4) is C(t) = (4+ 8 cos, 2+ 8 Sin), 0 ≤ t ≤ 2π

The circle C of radius 8, centered at the origin, parametrization for C inducing a counterclockwise orientation and starting at (8, 0). c(t) :0 ≤ t ≤ 2π,

a) equation of the circle is x² + y² = 64.

starting point it (80) and orientation Counterclockwise.

c(t) (8cos, 8sin) 0 ≤ t ≤ 2π

b) Starting point is (0,8) and orientation is clockwise

c(t) (8cos, 8sin) 0 ≤ t ≤ 2π

c) equation of circle is (x-4)²+ (4-2)² - 64

For counterclockwise orientation

C(t) = (4+ 8 cos, 2+ 8 Sin), 0 ≤ t ≤ 2π

Therefore, the parametrization for C inducing a counterclockwise orientation and starting at (8, 0) is c(t) (8cos, 8sin) 0 ≤ t ≤ 2π, the parametrization for C inducing a clockwise orientation and starting at (0, 8) is c(t) (8cos, 8sin) 0 ≤ t ≤ 2π and parametrization for C if it is now centered at the point (2, 4) is C(t) = (4+ 8 cos, 2+ 8 Sin), 0 ≤ t ≤ 2π

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The approximate gauge of a wire with a diameter of 100 mils is AWG 12.

To determine the approximate gauge of a wire with a diameter of 100 mils, we can use the American Wire Gauge (AWG) standard, which is commonly used in North America for measuring wire sizes.

The AWG gauge number is inversely proportional to the diameter of the wire, which means that as the gauge number increases, the wire diameter decreases.

Using the AWG standard, we can estimate that a wire with a diameter of 100 mils (0.1 inches) is approximately AWG 12. This can be calculated using the formula:

diameter (mils) = 1000 x (0.005 x 92)^(36 - AWG)/39.

Solving for AWG, we get:

AWG = 36 - 39 x log10(diameter (mils)/1000)/(0.005 x 92)

Plugging in the diameter of 100 mils, we get:

AWG = 36 - 39 x log10(0.1/1000)/(0.005 x 92) ≈ 12

Therefore, the approximate gauge of a wire with a diameter of 100 mils is AWG 12.

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Answer:

354 m

Step-by-step explanation:

to find the height substitute t = 3.5 into the height polynomial

height = - 16(3.5)² + 550 = - 16(12.25) + 550 = - 196 + 550 = 354

Answer:

9/10

Step-by-step explanation:

if the figure 0.9 is coverted ;

0.9=9/10

To get the simplified form:

The highest common factor(HCF) of 9 &10 is 1

The number will be divided by the 'HCF'

which is

9/10 = 9/10(answer)

To simulate the weight of a random pet from the store, we can use the composition method.We can use a random number generator to generate a PRN between 0 and 1. If the PRN is less than or equal to 0.6, then we know the pet is a cat, and if it is greater than 0.6, then the pet is a dog.

Once we know the type of the pet, we can use the corresponding normal distribution to simulate its weight. If the pet is a cat, we can use the normal distribution Nor(12,4) to generate a PRN that represents the weight of the cat. If the pet is a dog, we can use the normal distribution Nor(30,25) to generate a PRN that represents the weight of the dog.

To generate a PRN from a normal distribution with mean μ and standard deviation σ, we can use the inverse transform method. First, we generate a PRN u from the standard normal distribution using the standard normal c.d.f. denoted by Φ. Then, we can compute the desired PRN x by using the formula x = μ + σΦ⁻¹(u).

Therefore, to simulate the weight of a random pet from the store using composition, we can follow these steps:

1. Generate a PRN u between 0 and 1 using a random number generator.
2. If u ≤ 0.6, then the pet is a cat. Generate a PRN x from the normal distribution Nor(12,4) using the inverse transform method.
3. If u > 0.6, then the pet is a dog. Generate a PRN x from the normal distribution Nor(30,25) using the inverse transform method.
4. The value of x represents the weight of the random pet from the store.

To simulate the weight of a random pet from "It's Raining Cats and Dogs" pet store using composition, follow these steps:

1. Generate a random number (PRN) between 0 and 1. Let's call this PRN1.

2. If PRN1 <= 0.6 (which represents the 60% probability of selecting a cat), we'll simulate the weight of a cat. If PRN1 > 0.6 (which represents the 40% probability of selecting a dog), we'll simulate the weight of a dog.

3. To simulate the weight of a cat or a dog, we'll generate another random number (PRN) between 0 and 1. Let's call this PRN2.

4. For a cat (if PRN1 <= 0.6), apply the inverse standard normal c.d.f. to PRN2 to obtain a standard normal random variable, Z. Then, calculate the cat's weight using the formula: Cat's weight = 12 + 4 * Z, where 12 is the mean weight of cats (μ) and 4 is the standard deviation (σ).

5. For a dog (if PRN1 > 0.6), apply the inverse standard normal c.d.f. to PRN2 to obtain a standard normal random variable, Z. Then, calculate the dog's weight using the formula: Dog's weight = 30 + 25 * Z, where 30 is the mean weight of dogs (μ) and 25 is the standard deviation (σ).

By following these steps, you can simulate the weight of a random pet from "It's Raining Cats and Dogs" pet store using composition.

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Answer:

Discount percentage = 10.5% (Approx)

Therefore the discount is seller offering you is 10.5 % .

Step-by-step explanation:

Discount = Marked price - Selling price

As given

You are offered an item for $17.85. If the seller states he normally sells the same item for $19.95 .

Here

Marked price = $19.95

Selling price = $17.85

Discount = 19.95 - 17.85

           = $2.1

\(\frac{2.1 x 100}{19.95}\)

\(\frac{210}{19.95}\)

Discount percentage = 10.5% (Approx)

Therefore the discount is seller offering you is 10.5 % .

Answer:

B, D

Step-by-step explanation:

Answer:

ugh should i drop out

Step-by-step explanation:

The answer to this question is 13x + 5y = 48. <3

Answer:

8f² + 11f

Step-by-step explanation:

there are no expressions listed

This is the expression simplified

8f² + 11f

Answer:

Step-by-step explanation:

605/11 = x/5

11x = 3025

x = 275 miles

Answer:

275 miles

Step-by-step explanation:

Bill drove 605 miles in 11 hours , so by the formula , Speed = Distance/ time

We can find that ,

Speed = 55 miles/hours

So , In 5 hours he will drive

Distance = Speed × Time

Distance = 55 × 11

Distance = 275 miles

Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.

supporting answer:

what is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

body of the answer:

let us understand long multiplication by taking an example

     6.Add the two partial products

final answer: by following above steps we can perform long multiplication

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Long multiplication is a method of multiplying two difficult-to-multiply numbers.

What is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

Let us understand long multiplication by taking an example

1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.

2. Multiply the top number's one digit by the bottom number's one digit.

3. Put a 0 below the one's digit,

4. Multiply the top number's ones digit by the bottom number's tens digit.

5. Multiply the top number's tens digit by the bottom number's tens digit.

6. Add the two partial products

By following the above steps we can perform long multiplication

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Answer:

a =  120

b =  80

c =  40

d =  0.5

e =  50%

Step-by-step explanation:

Answer:

he is right

Step-by-step explanation:

A survey indicates that there are approximately 120 dairy farms in a given area. If there are exactly 400 farms, and exactly 20% of them are dairy farms, what is the percent error? Fill in the table below.

a =

✔ 120

b =

✔ 80

c =

✔ 40

d =

✔ 0.5

e =

✔ 50%

Answer:f

Step-by-step explanation:

its not that hard

The function is concave up for  x < 1 and concave down for x > 1 because the second derivative is positive for x < 1 and negative for x > 1. As a result, the critical point at x  < 1 is a relative maximum.

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is common to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.

Here,

The derivative of the function f(x) can be found by taking the derivative of the expression e^(-x) (x^2 + 2x) using the product rule:

f'(x) = -e^(-x) (x^2 + 2x) + e^(-x) (2x + 2) = 2e^(-x) - 2xe^(-x) (x + 1)

Setting f'(x) equal to zero and solving for x gives us the critical points:

0 = 2e^(-x) - 2xe^(-x).(x + 1)

2xe^(-x).(x + 1) = 2e^(-x)

x(x + 1) = e^x

x^2 + x - e^x = 0

Next, we determine the concavity of the function at the critical points by analyzing the second derivative of the function:

f''(x) = 2e^(-x) + 2xe^(-x) + 2xe^(-x).(x + 1) - 2e^(-x).(x + 1)

= 2e^(-x).(1 - x)

Since the second derivative is positive for x < 1 and negative for x > 1, the function is concave up for x < 1 and concave down for x > 1. Thus, the critical point at x < 1 corresponds to a relative maximum.

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Answer:

VII

Step-by-step explanation:

The value of the expression (a[1] + a[3]) is "BD". In this array declaration and initialization, the variable "a" is an array of type String that contains four elements: "A", "B", "C", and "D". The square brackets notation is used to access specific elements of the array.

In this case, a[1] refers to the second element of the array (remember that array indices start at 0), which is "B". Similarly, a[3] refers to the fourth element of the array, which is "D".

Therefore, the expression (a[1] + a[3]) concatenates the strings "B" and "D" to form the string "BD". This is the final value of the expression.

It's worth noting that the other options listed in the question ("AC", "ABC", and "CD") are not correct. "AC" is the result of concatenating the first and third elements of the array (a[0] + a[2]). "ABC" is the result of concatenating all four elements of the array (a[0] + a[1] + a[2] + a[3]). And "CD" is the result of concatenating the last two elements of the array (a[2] + a[3]).

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The value of the ordinary annuity with deposits of $15,169 quarterly for 9 years at 8.8% compounded quarterly is approximately $848,820.14. This means that after 9 years of making quarterly deposits, the annuity will grow to a total value of approximately $848,820.14

To find the value of an ordinary annuity with deposits of $15,169 quarterly for 9 years at 8.8% compounded quarterly, we can use the formula for the future value of an ordinary annuity.

The formula is:

A = P * ((1 + r)^n - 1) / r

where A is the future value of the annuity, P is the deposit amount per period, r is the interest rate per period, and n is the number of periods.

In this case, the deposit amount per period is $15,169, the interest rate per period is 8.8% or 0.088, and the number of periods is 9 years multiplied by 4 quarters per year, which gives us 36 quarters.

Plugging these values into the formula, we have:

A = 15169 * ((1 + 0.088)^36 - 1) / 0.088

Calculating this expression, we find that the future value of the annuity is approximately $848,820.14.

Therefore, the value of the ordinary annuity with deposits of $15,169 quarterly for 9 years at 8.8% compounded quarterly is approximately $848,820.14. This means that after 9 years of making quarterly deposits, the annuity will grow to a total value of approximately $848,820.14.

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The given equation is a trigonometric equation involving cotangent and cosine functions. To find all solutions in radians, we need to solve the equation 5 cot(x) \((cos(x))^2\) - 3 cot(x) cos(x) - 2 cot(x) = 0.

To solve the equation, let's factor out cot(x) from each term:

cot(x)(5 \((cos(x))^2\) - 3 cos(x) - 2) = 0.

Now, we have two factors: cot(x) = 0 and 5 \((cos(x))^2\)- 3 cos(x) - 2 = 0.

For the first factor, cot(x) = 0, we know that cot(x) equals zero when x is an integer multiple of π. Therefore, the solutions for this factor are x = nπ, where n is an integer.

For the second factor, 5 \((cos(x))^2\)- 3 cos(x) - 2 = 0, we can solve it as a quadratic equation. Let's substitute cos(x) = u:

5 \(u^2\)- 3 u - 2 = 0.

By factoring or using the quadratic formula, we find that the solutions for this factor are u = -1/5 and u = 2.

Since cos(x) = u, we have two cases to consider:

When cos(x) = -1/5, we can use the inverse cosine function to find the corresponding values of x.

When cos(x) = 2, there are no solutions because the cosine function's range is -1 to 1.

Combining all the solutions, we have x = nπ for n being an integer and

x = arccos(-1/5) for the case where cos(x) = -1/5.

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Answer:

x=3

Step-by-step explanation:

Figure ABCD is a rectangle. In rectangles, opposite sides are equal. In the figure, BC and AD are opposite of each other, therefore their side lengths are equal. The side lengths are given: BC=9x-6, and AD=3x+12. Write this as an equation:

please let me know if this is wrong, hope it helps :)

Answer:

29/40

Step-by-step explanation:

Answer:

29/40

Step-by-step explanation:

Hope it helps

The answer is the second image from left to right (B). Examples of direct and inverse variations are showed in the image below. :)