Which of the following numbers is irrational

Answer:

Step-by-step explanation:

Given function:

The graph is attached

The value of the function when x = 1/2 is:

This is reflected on the graph as well

f(x)=8+4x

f(1/2)

Graph attached

Answer:

The value of b is 6.

We know for a quadratic equation ax^2+bx+c=0

the sum of roots = -b/a

and product of roots = c/a

the two roots are -4 and -2.

and a =1

so -b/a = (-4)+(-2)

=> -b = -6

=> b = 6.

therefore  b=6.

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At least 75% of the flights (or 15 out of the 20 flights) will last between 3 days and 11 days, according to Chebyshev's Theorem.

Chebyshev's Theorem states that for any given number k greater than 1, at least (\(1-\frac{1}{k^2}\)) of the data values in any data set will fall within k standard deviations of the mean.

In this case, we can use Chebyshev's Theorem to determine the minimum number of flights that lasted between 3 and 11 days.

Given:

Mean (μ) = 7 days

Standard Deviation (σ) = 2 days

To find the number of flights within the range of 3 to 11 days, we need to calculate how many standard deviations away from the mean these values are.

Lower Bound:

Value = 3 days

Number of standard deviations away from the

\(mean = \frac{(Value - Mean)}{ Standard Deviation}\)

\(mean =\frac{(3 - 7) }{2}\)

\(mean =\frac{-4}{2}\)

\(mean = -2\)

Upper Bound:

Value = 11 days

Number of standard deviations away from the

\(mean = \frac{(Value - Mean)}{Standard Deviation}\)

\(mean = \frac{(11 - 7)}{2}\)

\(mean = \frac{4}{2}\)

\(mean = 2\)

According to Chebyshev's Theorem, the minimum proportion of data values within k standard deviations of the mean is given by \((1- \frac{1}{k^2} )\).

So, we need to determine the proportion of data within 2 standard deviations, which is k = 2.

Proportion within 2 standard deviations = \(1-\frac{1}{2^2}\)

\(=1-\frac{1}{4}\)

\(= 1 - 0.25\)

\(= 0.75\)

Now, we can find the percentage of \(0.75\):

\(= 0.75\times 100\)

\(= 75\%\)

Therefore, at least 75% of the flights (or 15 out of the 20 flights) will last between 3 days and 11 days, according to Chebyshev's Theorem.

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Based on the given question the we can say that Always statement will be - The sum of all angles of a quadrilaterals is always equals to 360°.

The general statement for the n sided polygon is (n-2)*180.

For the above statement, we can say that the value of n should at least be greater than 2 (n>2).

A two-dimensional shape with four sides, four vertices, and four angles is referred to as a quadrilateral. Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.

A quadrilateral, often known as a square, rectangle, or rhombus, is a polygon with four sides. You are currently staring at a computer screen that is most likely shaped like a quadrilateral. You'll study the quadrilateral in geometry classes.

The answer is clearly always.

Similarly we can create more problems and we should also know that sum of angles of general n sided polygon = (n-2)*180

if we put n = 4 in above equation we get 360 degree as answer.

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Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

answred by G a u t h m a t h

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The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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a. The probability that a driver waits less than 1.5 minutes is 0.375 or 37.5%.

b. The probability that the sample mean of the waiting times is less than 1.5 minutes is approximately 0.0052 or 0.52%.

a) Since the waiting time is uniformly distributed between 0 and 4 minutes, the probability density function (PDF) is constant within this interval. The PDF is given by:

f(x) = 1 / (b - a), where a = 0 and b = 4

P(X < 1.5) = (1.5 - 0) / (4 - 0) = 1.5 / 4

= 0.375

Therefore, the probability that a driver waits less than 1.5 minutes is 0.375 or 37.5%.

b) Standard deviation of the sample mean = population standard deviation / √(sample size)

= 1.155 / √35

≈ 0.1955 minutes

z = (sample mean - population mean) / standard deviation of the sample mean

= (1.5 - 2) / 0.1955

≈ -2.557

Using a standard normal distribution table or calculator, we can find the probability associated with a z-score of -2.557. The probability is approximately 0.0052.

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We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.

In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.

Thus, we need to use the t-distribution to construct the confidence interval.

The formula for the confidence interval is as follows:

Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368

Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).

This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

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My mission is to graduate, become a skilled software engineer, and contribute to technology advancements while advocating for diversity.



My purpose for pursuing higher education is to acquire a deep understanding of computer science and mathematics and graduate by May 2024, equipped with the knowledge and skills to contribute to technological advancements and innovation. I aspire to become a proficient software engineer who creates innovative solutions and pushes the boundaries of technology in a collaborative and inclusive work environment. With my degree, I aim to enhance my community and profession by actively participating in open-source projects, mentoring aspiring developers, and advocating for diversity and inclusion in the tech industry.



Complete a research paper on the applications of machine learning in cybersecurity.

  How it helps achieve my mission: Expanding my knowledge in cutting-edge technology and its practical implications.

  Measurement of success: Submission and acceptance of the paper to a reputable academic conference.

  Completion date: December 2023.

Engage in a relevant internship or part-time job in the software development industry.

  How it helps achieve my mission: Gaining real-world experience, expanding professional network, and applying theoretical knowledge.

  Measurement of success: Securing and actively participating in an internship or part-time job.

  Completion date: Within the next six months (by December 2023).

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The graph's scales could be represented by the x-axis, which could be labelled from 0 to 12 with a scale of 1, and the y-axis, which could be labelled from 0 to 100 with a scale of 10.

The horizontal scale used in a graph is called the X axis. Measurements on the coordinate plane are made using it as a reference line. The position of an object on that plane is described by its distance from the x and y axes.

All potential data that can be graphed is represented by the numbers on the X and Y axes. Each number here is different by ten. Scale is the name for this. On a coordinate grid, scale is the distance between each square.

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answer:  5.4264  

Hope i helped!

The mean of a observed values approaches the population mean more and more as the number of data points gathered rises.

The average calculated from the group members, distribution, or population is known as the population mean.

Thus, choose a population with a finite mean and a random sample of observations. The mean of a observed values approaches the population mean to a greater extent as the number of data gathered rises.

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None of the ordered pairs correspond to input-output pairs of the function y = 4x + 3

From the question, we have the following parameters that can be used in our computation:

The function y = 4x + 3

Also, we have the list of options

Next, we test the options using the equation

So, we have

A. (-2, 11)

y = 4(-2) + 3 = -5 -- false

B. (1,7)

y = 4(-1) + 3 = -1 -- false

C. (0,3)

y = 4(0) + 3 = 3 -- false

D. (1,-1)

y = 4(1) + 3 = 7 -- false

Hence, none of the ordered pairs correspond to input-output pairs

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Answer:

424 cm²

Step-by-step explanation:

8 x 11 = 88 = 1 side

88 x 2 = 196 = 2 sides

11 x 6 =66 = 3 sides

66 x 2 = 132 = 4 sides

8 x 6 = 48 = 5 sides

48 x 2 = 96 = 6 sides

196 + 132+ 96 = 424

Answer:

B) one or more of the conditions have different effects.

The alternative hypothesis evaluated by Fobt in the one-way ANOVA states that one or more of the conditions have different effects. The correct answer is B) one or more of the conditions have different effects.

The one-way ANOVA is a statistical test used to determine if there is a significant difference between the means of three or more groups. The null hypothesis in this test assumes that all of the groups have the same mean, while the alternative hypothesis assumes that at least one group has a different mean.

Fobt (also known as the F statistic) is calculated by dividing the variance between groups by the variance within groups. The value of Fobt is then compared to a critical value to determine if the null hypothesis should be rejected in favor of the alternative hypothesis. Therefore, the correct answer is B) one or more of the conditions have different effects.

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Answer:

its Parameter.

Answer:

A=30

Step-by-step explanation:

Answer:

b. yes because you can not find y without the x factor because it is independent.

c. f(x)=10x+0

Step-by-step explanation:

since x is time and y is rate of change the equation would be y=10x+0

Answer:

p= 7/2

-4p+9=-5

-4p=-14

p=14/4

p=7/2

One way to simplify variables with many levels (or decimal places) when creating a frequency distribution is to organize the data into class intervals (option B).

By grouping the data into intervals, the frequency distribution becomes more manageable and easier to interpret. This process involves dividing the range of values into distinct intervals or categories and then counting the number of observations falling within each interval. Class intervals provide a summary of the data by grouping similar values together, reducing the complexity of individual levels or decimal places.

This simplification technique is particularly useful when dealing with large datasets or continuous variables that have numerous levels or decimal values, allowing for a clearer representation and analysis of the data.

Option B holds true.

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Answer:

5 x (4+y)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

p/2-5

You can use PEMDAS to help:

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

So, first we have to substitute 14 for p to get:

14/2-5

Next, comes division before subtraction, so we can rewrite the equation as this:

(14/2)-5

7-5

=2

Answer:

True

Step-by-step explanation:

Step-by-step explanation:  

        For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:  

       The question gives us two points, (10, 7) and (0, 5), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)    

                                         =  (7 - 5) ÷ (10 - 0)  

                                         =   ¹/₅  

Finding the Equation

The slope-intercept form is y = mx + c, where c is the y-intercept.

Now, the y-intercept occurs when x = 0.

Since we have that point (0,5), then it implies that the y-intercept = 5.

∴  the equation of the line is   y  =  ¹/₅ x  +  5

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Step-by-step explanation:

Use Pyhtagorean theorem (for right triangles)

c^2 = a^2 + b^2

c^2 = (2.2)^2 + (0.6)^2

c^2 = 5.2

c= sqrt 5.2 =2.28 mm

Reason:

The bases for the 1st and 2nd expression are 2 and 4 respectively. The bases do not match, which is why the expressions aren't equivalent for choice C.

The general template is \(\text{y} = b^{\text{x}} \ \text{ is equivalent to } \ \log_{b}(\text{y}) = \text{x}\) where both bases are "b". This transformation is useful to help isolate the exponent.

Choice A is a valid example of where we go from log form to exponential form, or vice versa. Take note the bases are the same here (both 2).

Choice B is also valid since the bases are 3 each.

Choice D is valid as well. Writing "log" without a stated base has us assume the default of base 10. The fraction 1/10 is equivalent to the decimal form 0.1

a. The probability of exactly two flaws in a 50-yard piece of material is approximately 0.2707.

b. The probability of no more than two flaws in a 50-yard piece of material is approximately 0.6767.

c. The probability of no flaws in a 25-yard piece of material is approximately 0.3679.

To find the probability of exactly two flaws in a 50-yard piece of material, we can use the Poisson distribution. Let λ be the average number of flaws per 50 yards of material, which is 2. Then, the probability of exactly k flaws occurring in a 50-yard piece of material is given by

P(k flaws) = (e^(-λ) × λ^k) / k!

So, for k=2, we have

P(2 flaws) = (e^(-2) × 2^2) / 2! ≈ 0.2707

Therefore, the probability of exactly two flaws in a 50-yard piece of material is approximately 0.2707.

b. To find the probability of no more than two flaws in a 50-yard piece of material, we need to sum the probabilities of having 0, 1, or 2 flaws. So, we have

P(no more than 2 flaws) = P(0 flaws) + P(1 flaw) + P(2 flaws)

We already know P(2 flaws) from part (a). To find P(1 flaw), we can use the same formula as before with λ=2 and k=1

P(1 flaw) = (e^(-2) × 2^1) / 1! ≈ 0.2707

To find P(0 flaws), we use the same formula with λ=2 and k=0

P(0 flaws) = (e^(-2) × 2^0) / 0! ≈ 0.1353

Therefore, we have:

P(no more than 2 flaws) = 0.2707 + 0.2707 + 0.1353 ≈ 0.6767

So, the probability of no more than two flaws in a 50-yard piece of material is approximately 0.6767.

c. To find the probability of no flaws in a 25-yard piece of material, we can again use the Poisson distribution, but with a different value of λ. Since the average number of flaws per 50 yards is 2, the average number of flaws per 25 yards is 1. So, we have:

P(0 flaws) = (e^(-1) × 1^0) / 0! ≈ 0.3679

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The probability of calling a person, not from his neighborhood, is 1/5 or 0.2 if the total number of contacts is 25

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of contacts = 25

Total number of contacts of neighbors = 20

Total number of contacts which is not of the neighbors = 25 - 20 = 5

The probability of call a person not from his neighborhood:

P = 5/25 = 1/5

P = 0.2

Thus, the probability of calling a person, not from his neighborhood is 1/5 or 0.2 if the total number of contacts is 25

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Answer: 1/5 or 0.2

Step-by-step explanation: