Which is the best sale?
Select the best answer from the choices provided.
a.) 10% off $100.00
b.) $89.00
c.) 15% off $99.00
d.) 8% off $95.00

The mean of binomial distribution is 5.

Binomial distribution is a probability distribution used in statistics that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions. Binomial distribution is a common discrete distribution used in statistics, as opposed to a continuous distribution, such as normal distribution. This is because binomial distribution only counts two states, typically represented as 1 (for a success) or 0 (for a failure) given a number of trials in the data. Binomial distribution thus represents the probability for x successes in n trials, given a success probability p for each trial.

Binomial distribution summarizes the number of trials, or observations when each trial has the same probability of attaining one particular value. Binomial distribution determines the probability of observing a specified number of successful outcomes in a specified number of trials.

For a binomial distribution, the probability of success is 20% and sample size is 25. We have to find the mean for a binomial distribution.

n = 25

p = 20% = 0.2

Mean of binomial distribution, μ, is

μ = n × p = 25 × 0.2 = 5

Thus, the mean of binomial distribution is 5.

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Answer:

the four consecutive numbers are   89, 90, 91, 93.

Step-by-step explanation:

let the four consecutive numbers be x, x+2, x+4, x+6

according to the condition in the question

x+x+2+x+4+x+6=368

4x+12=368

4x=356

x= 89

So,  the numbers are   89, 90, 91, 93.

hope this will help :)

Answer: 182.9

Step-by-step explanation: if the next digit after the tenths place is 5 or higher, you round it up to the next number.

Answer:

3/4 * 2/5

Step-by-step explanation:

Areas is L * W

(1/5 + 1/5) * (1/4 + 1/4 + 1/4) = 2/5 * 3/4

Answer:

3/10

Step-by-step explanation:

The area will be the length of the striped rectangle multiplied by the width of the striped rectangle.

The length will be 1/4 + 1/4 + 1/4 = 3/4 and the width will be 1/5 + 1/5 = 2/5.

Now just multiply 3/4 by 2/5 and you'll get 6/20 which in its simplest form is 3/10.

Arranging the given functions in ascending order of growth rate, we have:

f4(n) = log2(n)

f5(n) = 2log2(n)

f2(n) = n^(1/3)

f1(n) = 10n

f3(n) = n^n

The function f4(n) = log2(n) has the slowest growth rate among the given functions. It grows logarithmically, which is slower than any polynomial or exponential growth.

Next, we have f5(n) = 2log2(n). Although it is a logarithmic function, the coefficient 2 speeds up its growth slightly compared to f4(n).

Then, we have f2(n) = n^(1/3), which is a power function with a fractional exponent. It grows slower than linear functions but faster than logarithmic functions.

Next, we have f1(n) = 10n, which is a linear function. It grows at a constant rate, with the growth rate directly proportional to n.

Finally, we have f3(n) = n^n, which has the fastest growth rate among the given functions. It grows exponentially, with the growth rate increasing rapidly as n increases.

Therefore, the arranged list in ascending order of growth rate is: f4(n), f5(n), f2(n), f1(n), f3(n).

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\(\dfrac r3 = 7 \\\\\implies r = 3 \times 7 = 21\)

Answer:

r = 21

Step-by-step explanation:

(r / 3) = 7

(r / 3)(3) = 7(3)

r = 21

A fraction multiplied by the denominator will equal the numerator.

Answer:

7x - 4

Step-by-step explanation:

-2x + (9x - 4)

-2x + 9x -4

9x - 2x = 7x

7x - 4

Brainliest

Answer: 17/18

Step-by-step explanation:

4 1/4 is equall to 17/4.

4 1/2 is 9/2.

We can flip 9/2 to get 2/9*17/4.

That simplifies to 17/18.

\(k \begin{bmatrix} 2&3\\5&6 \end{bmatrix}~~ = ~~ \begin{bmatrix} 6&9\\15&18 \end{bmatrix}\implies \begin{bmatrix} 2k&3k\\5k&6k \end{bmatrix}~~ = ~~ \begin{bmatrix} 6&9\\15&18 \end{bmatrix} \\\\\\ 2k=6\implies k=\cfrac{6}{2}\implies k=3\)

Answer:

The answer is C hopefully this helps

Step-by-step explanation:

The quarters and dimes that Brandon have will be 13 quarters and 9 dimes.

Based on the information given, the appropriate equation will be:

0.25q + 0.10d = 5.95 .... i

q = 2d - 5 .....

q = quarter

d = dime

From equation i, multiply through by 100

25q + 10 = 595

Put equation ii into i

25q + 10d = 595

25(2d - 5) + 10d = 595

50d - 125 + 10d = 595

Collect like terms

60d = 595 + 125

60d = 720

Divide

d = 720/60

d = 9

q = 2d - 5

q = 2(9) - 5

q = 18 - 5 = 13

Therefore, the quarters and dimes that Brandon have will be 13 quarters and 9 dimes.

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Answer:

6(x +8)

Step-by-step explanation:

Factorising:

6x + 48

Take 6 as common, Therefore:

6(x +8)

Because:

6 * x = 6x

6 * 8 = 48

therefore:

6x + 48 = 6(x + 8)

Hope it helped!!!

Assumptions: For the purpose of this exercise, let's assume that we are analyzing defects in a manufacturing process. We will invent data for five different categories of defects and their corresponding frequencies. the cumulative percentage for each category, we find that the top 20% category of defects is Category A.

a. Based on the invented data, the histogram analysis reveals the following distribution of defects and their frequencies:

Category A: 50 defects

Category B: 30 defects

Category C: 20 defects

Category D: 15 defects

Category E: 10 defects

To identify the top 20% of the category of defects contributing to 80% of the total volume, we calculate the cumulative frequency. Starting with the category with the highest frequency, we add up the frequencies until we reach 80% of the total. In this case, Category A contributes the highest frequency, and its cumulative frequency is 50. The total number of defects is 125 (50 + 30 + 20 + 15 + 10). By calculating the cumulative percentage for each category, we find that the top 20% category of defects is Category A.

b. Performing a Root Cause Analysis for the Top Contributing Factor (Category A) using the 5-Why method or Fishbone diagram helps determine the underlying causes. We identify potential factors such as equipment malfunction, operator error, insufficient training, or process variability. By asking "why" repeatedly, we dig deeper into each cause to uncover the root cause.

c. Based on the analysis, we develop a corrective action plan and preventive action plan. For example:

Corrective Action Plan: Assign qualified technicians to regularly inspect and maintain the equipment, conduct additional training for operators to enhance their skills, and implement process control measures to reduce variability.

Preventive Action Plan: Establish a preventive maintenance schedule for equipment, implement a comprehensive training program for all operators, and conduct regular process audits to identify and address potential issues proactively.

The corrective and preventive action plans should clearly define the tasks, responsibilities, and timelines. The maintenance department may be responsible for equipment maintenance, the training department for operator training, and the quality department for process audits. Regular monitoring and evaluation of the action plans should be conducted to ensure effectiveness and make any necessary adjustments.

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\(\huge \bf༆ Answer ༄\)

For the given triangles to be congruent by SSS criterion, the sides HJ and LN should be equal ~

therefore correct choice is ~ C

\( \large \boxed{ \sf \: HJ \cong LN}\)

The additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN

Recall:

Thus, in the two triangles given, the two triangles has:

Therefore, an additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN

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The solution to the equation 91 = 29^x is approximately x ≈ 1.08.

To solve for x in equation 91 = 29^x, we need to isolate the variable x. Here's the step-by-step process:

Add 150 to both sides of the equation to get rid of the constant term:

91 + 150 = 29^x + 150

Simplify the equation:

241 = 29^x + 150

Subtract 150 from both sides:

241 - 150 = 29^x

Simplify further:

91 = 29^x

Now, we can solve for x by taking the logarithm of both sides of the equation with base 29. Using the logarithm property log_b(a^c) = c * log_b(a), we have:

log_29(91) = x

Using a calculator or logarithm table, we can find that log_29(91) ≈ 1.08.

Therefore, the solution to the equation 91 = 29^x is approximately x ≈ 1.08.

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The number of squares in a 10*10 chessboard would be

= 1² + 2² + 3² + 4²+ ............... + 10² = 204 + 9² + 10² = 385.

What is a square?

As a square has four equal sides and four equal angles, it is a regular quadrilateral. It can alternatively be explained as a rectangle with two neighbouring sides that are of equal length.

Given,

The number of squares in an 8*8 chessboard = 204

The squares are of varying sizes.

This can be solved when starting with 1 square.

          number of  squares of dimension  1 * 1 = 4 squares

              number of  squares of dimension 2*2 = 1 square

               So total number of squares in 2*2 = 1 +4  = 1² + 2²

        number of squares of dimension 1*1 = 9

         number of squares of 2 *2 = 4

       number of squares of 3 * 3 = 1

So total number of squares =  1 + 4 + 9 = 1² + 2² + 3²

        Number of 1*1 = 16

  number of 2*2 =  9

  number of 3*3 = 4

number of 4*4 = 1

Total number  = 1 + 4 + 9 + 16 = 1² + 2² + 3² + 4²

For 8*8 = 1² + 2² + 3² + 4² + ........... + 8² = 204

Therefore the number of squares in a 10*10 chessboard would be

= 1² + 2² + 3² + 4²+ ............... + 10² = 204 + 9² + 10² = 385.

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Answer:.80

p-by-step explanation:

Answer:

Where are the graphs?

Step-by-step explanation:

Anyway use this method.

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Answer:

28y - 4

Step-by-step explanation:

multiply 28 by everything in the bracket

28y - (28/7)

28y - 4

Answer:

t= 20+40c

Step-by-step explanation:

Given that Ray's total cost is always $30 less than Earl's and they charge the same amount per carpet cleaned, the difference is in the amount charged for a house call and to find that amount you have to subtract 30 from the amount Earl's charges:

50-30=20

This means that Ray charges $20 for a house call and $40 per carpet cleaned. According to this, the equation would indicate that the total cost for Ray is equal to the amount he charges for a house call plus the price per carpet cleaned for the number of carpets cleaned, which would be:

t= 20+40c, where:

t is the total cost

c is the number of carpets cleaned

Answer:

Step-by-step explanation:

when x = 5

x² + 8

= (5)² + 8

= 25 + 8

= 33

Answer:

33

Step-by-step explanation:

Plug the 5 in the x so it would be 5^2 + 8

Answer:

15 and 270

Step-by-step explanation:

using the property of radicals

(\(\sqrt{x}\) )² = x and (\(\sqrt[3]{x}\) )³ = x

then

(\(\sqrt{5}\) )² × (\(\sqrt{3}\) )² = 5 × 3 = 15

(\(\sqrt[3]{9}\) )³ × (\(\sqrt{30}\) )² = 9 × 30 = 270

Answer:

Step-by-step explanation:

Perimeter of rectangle equation:

Convert the length into cm:

Find the perimeter:

Correct choice is D

Answer:

Yes, actually I have five/5

Step-by-step explanation:

1 - If ABCD is a cyclic quadrilateral, then show that cos A + cos B + cos C + cos D = 0.

2 -  Show that, cos^2A + cos^2 (120° - A) + cos^2 (120° + A) = 3/2

3 -  If A, B, and C are angles of a triangle, then prove that tan A/2 = cot (B + C)/2

4 - If tan x - tan y = m and cot y - cot x = n, prove that, 1 /m + 1/n = cot (x - y).

5 - If tan β = sin α cos α/(2 + cos^2 α) prove that 3 tan (α - β) = 2 tan α.

Hope this helped!

The value of the function, f(1) is 3. Note that the answer is already in its simplest form and cannot be expressed as a fraction.

First, let's start by understanding what the function f(x) represents. The function f(x) takes an input value x and returns an output value based on a specific rule. In this case, the rule is defined by the equation f(x) = 4(1/4)^x+2.

To find f(1), we need to substitute 1 in place of x in the equation for f(x). So, we get:

f(1) = 4(1/4)^1 + 2

Now, we need to simplify this expression. Recall that any number raised to the power of 1 is just that number itself. So, (1/4)^1 is just 1/4.

Therefore, we can simplify the expression as follows:

f(1) = 4(1/4) + 2

= 1 + 2

= 3

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Answer:

V is 60 degree because the v is in the line of 60

Answer: precise but not accurate

Step-by-step explanation:

To be precise means for the measurement to be close to the exact value. To be accurate means to get the exact measurement.

In this case, since the students got values that are close to 17cm, it means that they are precise but they are not accurate since they didn't get the exact measurement which is 17cm.

Step-by-step explanation:

The given situation can be represented by the following system of inequalities:

x ≥ 4 (Spending at least 4 hours at the zoo)

y > 2 (Spending more than 2 hours at the fair)

x + y ≤ 8 (Total time spent at the zoo and fair cannot exceed 8 hours)

Therefore, the system that represents this situation is:

x ≥ 4

y > 2

x + y ≤ 8

Answer:

Step-by-step explanation:

4x² + 6 = 40

4x² = 34

x² = 8.5

x = ±√8.5 ≈ 2.92