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An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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Answer:

Step-by-step explanation:

Asymptotes 3

g(x) = \(\frac{3x}{x^2-3x-10}\)

Factors of denominator will be,

x² - 3x - 10 = x² - 5x + 2x - 10

                 = x(x - 5) + 2(x - 5)

                 = (x + 2)(x - 5)

Therefore, factored form of g(x) will be,

g(x) = \(\frac{3x}{(x + 2)(x - 5)}\)

Asymptotes 4

h(x) = \(\frac{(x-5)}{x^{2} + 14x + 40}\)

      = \(\frac{x-5}{x^{2}+10x+4x+40}\)

      = \(\frac{x-5}{x(x+10)+4(x+10)}\)

      = \(\frac{x-5}{(x+10)(x+4)}\)

The two way frequency table is discussed below. The table to show the relative frequencies for each grade category is discussed below. According to the relative frequency table, 8th grade had the greatest number of students who preferred one of the toppings.

The completed two-way frequency table is shown below

               Cheese         Pepperoni           Veggie           Total

7                20                      12                      8                    40

8                18                       16                      14                   48

Total          38                      28                     22                  88

To find the relative frequency for each grade category, we need to divide each frequency by the total number of students

                Cheese         Pepperoni           Veggie            Total

7                0.227             0.136                  0.090              0.453

8                0.204             0.181                   0.159               0.544

Total           0.431              0.317                  0.249               0.997

According to the relative frequency table, 8th grade had the greatest number of students who preferred one of the toppings, with a relative frequency of 0.544.

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Answer:

\( \boxed{\sf Time \ taken = 15 \ minutes} \)

Given:

Initial speed (u) = 65 km/h

Final speed (v) = 85 km/h

Acceleration (a) = 80 km/h²

To Find:

Time taken for car to achieve a speed of 85 km/h in minutes

Step-by-step explanation:

\(\sf From \ equation \ of \ motion:\)

\( \boxed{ \bold{v = u + at}}\)

By substituting value of v, u & a we get:

\( \sf \implies 85 = 65 + 80t\)

Substract 65 from both sides:

\( \sf \implies 85 - 65 = 65 - 65 + 80t\)

\( \sf \implies 20 = 80t\)

\( \sf \implies 80t = 20\)

Dividing both sides by 80:

\( \sf \implies \frac{ \cancel{80}t}{ \cancel{80}} = \frac{20}{80} \)

\( \sf \implies t = \frac{2 \cancel{0}}{8 \cancel{0}} \)

\( \sf \implies t = \frac{ \cancel{2}}{ \cancel{2} \times 4} \)

\( \sf \implies t = \frac{1}{4} \: h\)

\( \sf \implies t = \frac{1}{4} \times 60 \: minutes\)

\( \sf \implies t = 15 \: minutes\)

So,

Time taken for car to achieve a speed of 85 km/h in minutes = 15 minutes

Answer:

Infinite Solutions.

Step-by-step explanation:

If you simplify everything you would get 2a +4 = 2a +4 in which a can be anything.

switch the variables

x = -y + 6

x - 6 = -y

-x + 6 = y

Answer: g= -1/12

Step-by-step explanation:

I just solved it hope I helped

Answer:

D

Step-by-step explanation:

Your are right i think?

Answer:

2

Step-by-step explanation:

Factors for 14: 1, 2, 7, and 14. Factors for 16: 1, 2, 4, 8, and 16.

The greatest common factor being 2, as they both have it.

Answer:

(6x + 2)

Step-by-step explanation:

\(4(x+ 1 ) + 2(x - 1 ) \\\\4x + 4 + 2x - 2 \\\\4x + 2x + 4 - 2 \\\\6x + 2\)

According to the graph, the range, which is the set of values that y can take, comes from negative infinite and stops at approximately 2. It means that y will always be greater than negative infinite but less than 2, this represented as inequation is:

Answer:

Step-by-step explanation:

The mean of the distribution with a median of 8 could also be: Option B: 8

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The median is defined as the middle value when a data set is ordered from least to greatest.

The mode is defined as the number that occurs most often in a data set.

Now, one good relationship between the 3 measures is given as:

3(median) = mode +2(mean)

Thus, if our median is 8, then it is very possible that our means could also be 8

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Answer:

2 bags

Step-by-step explanation:

Let the number of bags be b.

Let the number of candies in each bag be c.

The number of bags was 9 less than the number of candies in each bag. That is:

b = c - 9

She bought 22 candies.

This means that The number of candy in each bag multiplied by the numbe of each bag is 22:

b * c = 22

bc = 22

=> (c - 9) * c = 22

\(c^2 - 9c = 22\\\\c^2 - 9c - 22 = 0\\\\c^2 - 11c + 2c - 22 = 0\\\\c(c - 11) + 2(c - 11) = 0\\\\(c + 2) (c - 11) = 0\\\\=> c = -2, c = 11\)

Since the number of candies can only be a positive number, c = 11.

Therefore:

b = 11 - 9

b = 2

Katy bought 2 bags of candy containing 11 candies each.

Answer: 2 pies

Step-by-step explanation:

Here is the correct question:

There will be 6 people at Ellie's pie party. She wants to bake enough pie so that each person can eat at least ​1/5 of a pie.What is the minimum number of pies Ellie should bake?

Since each person can eat at least 1/5 of the pie and there are 6 people, the 6 people would them eat at least (6 × 1/5) = 6/5 pie. Since we are talking about whole numbers with regards to the pie, it simply means that at least 2 pies should be baked.

The 2nd dot plot in the attachment represents the dot plot that has the same sample mean as the population mean

The dot plot that completes the question is added as an attachment.

Start by calculating the mean of the data plot using:

\(\bar x = \frac{\sum fx}{\sum f}\)

Substitute the values on the dot plot

\(\bar x = \frac{2*1+3*3+4*2+5+6*3+7*5+8*2+9*4+11*2+12*2}{25}\)

\(\bar x = 7\)

This means that the population mean of the dot plot is 7

Next, we create another dot plot that has the same mean as 7.

There are no direct rules to this, so we make use of the trial by error method.

After several attempts, we have the following frequency table:

Data point      Frequency

2                                  1

3                                  2

4                                  0

5                                  4

6                                  5

7                                  2

8                                  5

9                                  0

10                                 2

12                                 3

The mean of the frequency table is:

\(\bar x = \frac{2 * 1 + 3 * 2 + 4 * 0 + 5 * 4 + 6 * 5 + 7 * 2 + 8 * 5 + 9 * 0 + 10 * 2 + 12 * 3}{1+2+0+4+5+2+5+0+2+3}\)

Evaluate

\(\bar x = \frac{168}{24}\)

Evaluate the quotient

\(\bar x = 7\)

This means that the sample mean is 7 (same as the population mean)

Lastly, we represent the frequency table using a dot plot (the 2nd dot plot in the attachment)

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Answer:

Step-by-step explanation:

sinC = 12/13

cosA = 12/13

The radian measure of angle A is (16/9)π.

To convert degrees to radians, we use the conversion factor:

\(1\ degree = \pi /180\ radians\)

Given that angle A is 320 degrees, we can calculate its radian measure as follows:

Angle A in radians = (320 degrees) * (π/180 radians/degree)

                    = (320π)/180 radians

                    = (16/9)π radians

Therefore, the radian measure of angle A is (16/9)π.

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Answer:

Step-by-step explanation:

1.step. i^25^i

2.step. Rewrite (i^4)6^i=i^4

3.step. Rewrite (i^2)^2

4.step. ((i^2)^2)^6i

5.step. i^2 as -1

6.step. ((-1)^2)^6i

7.step. Raise −1 to the power of 2

i^6i

8.step.One to any power is one.

i1

9.step.Multiply i by 1.

ix1=i

The quotient of the division operation (12x³ - 11x² + 9x + 18) / (4x + 3) is 3x² - 5x + 6

From the question we are to determine the quotient in the given division operation

The given division operation is:

(12x³ - 11x² + 9x + 18) / (4x + 3)

The quotient of the given division operation can be determine as follows

                     3x² - 5x + 6

4x + 3 | 12x³ - 11x² + 9x + 18

           12x³ + 9x²  

                    -20x² + 9x

                    -20x² - 15x  

                                 24x + 18

                                 24x + 18

                                            0

Hence, the quotient of the division operation is 3x² - 5x + 6

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Step-by-step explanation:

They are corresponding angle

The value of k is 1, which is the value of g(x) (and f(x)) when x = -3 or x = 3.

We can determine the type of transformation and the value of k for each of the aforementioned functions using the tables provided for f(x) and g(x).

g(x) = 3f(x) (x)

Here, there occurs a vertical stretch/compression transformation. The function g(x) is a three-fold vertical expansion or contraction of f(x). G(x) has a value of 4, which is identical to the value of k, whether x = -6 or = 6.

g(x) = f(3x) (3x)

Here, there occurs a horizontal stretch/compression transformation. A horizontal stretch or compression of f(x) by a factor of 1/3 results in the function g(x). When x = -3 or x = 3, the value of k is 1, which is also the value of g(x) and f(x).

g(x) = (1/3)f(x) (x)

Here, there occurs a vertical stretch/compression transformation. A vertical stretch or compression of f(x) by a factor of 1/3 results in the function g(x). G(x) has a value of 4, which is identical to the value of k, whether x = -6 or = 6.

g(x) = f(x/3)

Here, there occurs a horizontal stretch/compression transformation. The function g(x) is a three-fold horizontal stretching or compression of f(x). When x = -3 or x = 3, the value of k is 1, which is also the value of g(x) and f(x).

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Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

Answer:

0.38 kilolitres

Step-by-step explanation:

1 gallon = 3.79 litres

100 gallons = 3.79 x 100 = 379 litres

Then convert litres to kilolitres:

379 litres = 0.38 kilolitres

Answer:

P(7,4)= 840

Step-by-step explanation:

To calculate the reliability of the bank loan processing system with backup components, we can use the concept of series-parallel system reliability.

In the original system, the three components are connected in series. To calculate the overall reliability of the system, we multiply the reliabilities of the individual components:

R_system = R_1 * R_2 * R_3 = 0.82 * 0.991 * 0.98 ≈ 0.801

So, the reliability of the bank loan processing system without backup components is approximately 0.801.

Now, if each of the three components has a backup with a reliability of 0.80, we have a parallel configuration between the original components and their backups. In a parallel system, the overall reliability is calculated as 1 minus the product of the complement of individual reliabilities.

Let's calculate the reliability of each component with the backup:

R_1_with_backup = 1 - (1 - R_1) * (1 - 0.80) = 1 - (1 - 0.82) * (1 - 0.80) ≈ 0.984

R_2_with_backup = 1 - (1 - R_2) * (1 - 0.80) = 1 - (1 - 0.991) * (1 - 0.80) ≈ 0.9988

R_3_with_backup = 1 - (1 - R_3) * (1 - 0.80) = 1 - (1 - 0.98) * (1 - 0.80) ≈ 0.9992

Now, we calculate the overall reliability of the system with the backups:

R_system_with_backup = R_1_with_backup * R_2_with_backup * R_3_with_backup ≈ 0.984 * 0.9988 * 0.9992 ≈ 0.981

Therefore, the reliability of the bank loan processing system with backup components is approximately 0.981.

Comparing the two scenarios, we can see that introducing backup components with a reliability of 0.80 has improved the overall reliability of the system. The total reliability increased from 0.801 (without backups) to 0.981 (with backups). Having backup components in a parallel configuration provides redundancy and increases the system's ability to withstand failures, resulting in higher reliability.

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Answer:

B. p varies inversely as r

Step-by-step explanation:

Since, p varies directly as q

\( \therefore p\:\:\alpha \:\:q\\

\therefore p= kq.. (k = constant)... (1)\\

\)

Since, q varies inversely as r

\( \therefore q\:\:\alpha \:\:\frac{1}{r} \\

\therefore q= \frac{k}{r} .. (k = constant)... (2)\\

\)

From equations (1) & (2)

\( p = k\times \frac{k}{r}\\

p = \frac{k^2}{r}\\

p\:\:\alpha \:\: \frac{1}{r}\\

\)

Hence, p varies inversely as r.

The z-score corresponding to an observation is -1.02

From the given data μ=335

σ=50

X=284

It is a way to compare the results from a test to a “normal” population.

If X is a random variable from a normal distribution with mean (μ) and standard deviation (σ), its Z-score may be calculated by subtracting mean from X and dividing the whole by standard deviation.

Where, x = test value

μ is mean and

σ is SD (Standard Deviation)

For the average of a sample from a population ‘n’, the mean is μ and the standard deviation is σ.

X=284 now we have to find Z score

so from the formula the Z score corresponding to observation X=284 is we have

Z=X- μ/σ

=\(\frac{284-335}{50}\)=-1.02

Therefore, the z-score is -1.02.

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Explanation

Two Angles are Complementary when they add up to 90 degrees

Step 1

Let

Step 2

2. and 3.

Step 3

4.

finally, replace the value of BOC to find angle AOC

I hope this helps you

Step-by-step explanation:

I hope this answer is helpful ):