Is 2π a rational or an irrational number

if you assume 2 person in the centre

there are 4! possibilities that other people can ve sorted.

but the 2 person can sit in 2 ways.

so the answer is 4!.4

= 96

Number of hours Marissa worked at pizza place is 26 hours.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.

Now, it is given that,

Marissa's earning per hour = $9

Money received from selling of shoes = $80

Total money left this week = $314

Hence, Total earning = Total money left this week - Money received from selling of shoes

Total earning =  $314 - $80

⇒Total earning = $234

Therefore,

Hours of work = Total earning/earning per hour

⇒Hours of work = $234/$9 hours

⇒Hours of work = 26 hours

Hence,Number of hours Marissa worked at pizza place is 26 hours.

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Answer:

Slope: 2

Step-by-step explanation:

The slope of a line is when x increases by an amount, y increases by an amount. We can find the slope of a linear graph by taking 2 points. I will use (0,3) and (-1,1)

We see that the y-values are 4 from each other, and that the x-values are 2 from each other.

Now, we can use a method called rise over run, which is y-value/x-value.

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

Therefore, the slope is 2.

Solving problems involving normal proportions requires careful attention to detail, as well as a good understanding of statistical concepts such as standardization and probability.

When solving a problem where you want to find normal proportions, you can follow the following steps:

Define the problem: Clearly define the problem you are trying to solve, including any relevant details such as the population, sample size, and the variable of interest.

Check assumptions: Check if the conditions for using normal distributions are met. The data should be continuous, the sample size should be large enough, and the distribution should be approximately normal.

Calculate the sample mean and standard deviation: If you are working with a sample, calculate the sample mean and standard deviation.

Standardize the data: Convert the data into standard normal distribution, by subtracting the mean from each observation and dividing by the standard deviation.

Determine the probability: Once the data has been standardized, you can use a standard normal distribution table or a calculator to determine the probability of the variable falling within a certain range or above/below a certain value.

Interpret the results: After determining the probability, interpret the results in the context of the problem. For example, you might conclude that there is a 95% chance that a randomly selected observation falls within a certain range, or that the variable of interest is higher than a certain value in 5% of cases.

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Answer:

c=18.50h+20

Step-by-step explanation:

Answer:

y = -8x + 5

using the following formula:

y = mx + b

where m is slope and b is y-intercept.

Here the equation:

equation: y = -8x + 5

Answer:

x = 24.99 or 25

Step-by-step explanation:

Using sin to figure out the angle of ABD, we can figure out the angle of CBD by subtracting it from 90°.

sin y = (1/5)

y = 11.54°

90 - 11.54 = 78.46°

Now using Pythagorean Theorem (a²+b²=c²) we can solve for line BD.

1² + b² = 5²

1 + b² = 25

b² = 24

b = √24

Now we can use tan to figure out the length of segment DC.

tan(78.46) = z/√24

z = 23.99

We can now combine the known length of segment AD and the length of DC to get x.

1 + 23.99 = 24.99 or about 25.

Answer:

hope this hlo u

Step-by-step explanation:

range =highest observation-lowest observation

range=10-6

=4

To compute the probability that a randomly selected member of the team is Canadian, we need to determine the total number of members in the team and the number of Canadian members.

Step 1: Calculate the total number of members in the team:

The total number of members is the sum of the American, Canadian, and Mexican nationals. Therefore, the total number of members is 4 (Americans) + 8 (Canadians) + 8 (Mexicans) = 20.

Step 2: Calculate the number of Canadian members:

The number of Canadian members is given as 8.

Step 3: Calculate the probability:

The probability of selecting a Canadian member is the ratio of the number of Canadian members to the total number of members.

So, the probability is 8 (number of Canadian members) divided by 20 (total number of members).

Calculating the probability, we get:

Probability = 8/20 = 0.4

Therefore, the probability that a randomly selected member of the team is Canadian is 0.4, or 40%.

For the second scenario, where 9 fair coins are flipped randomly, we need to calculate the probability of getting one head and the rest showing tails.

Step 1: Calculate the total number of possible outcomes:

For each coin, there are two possible outcomes (heads or tails). Since there are 9 coins, the total number of possible outcomes is 2^9 = 512.

Step 2: Calculate the number of favorable outcomes:

To get one head and the rest showing tails, there are 9 ways to choose which coin shows the head. For the remaining 8 coins, they must all show tails, which is 1 way. Therefore, the number of favorable outcomes is 9.

Step 3: Calculate the probability:

The probability is the ratio of the number of favorable outcomes to the total number of possible outcomes.

So, the probability is 9 (number of favorable outcomes) divided by 512 (total number of possible outcomes).

Calculating the probability, we get:

Probability = 9/512 ≈ 0.0176

Therefore, the probability that one coin shows heads and the rest show tails is approximately 0.0176, or 1.76%.

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The ouput at x = 2 is 3 and the input at y = -1 is 0

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

The graph

On the graph, we have

f(2) = 3

This means that the output is 3

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

The graph

On the graph, we have

f(0) = -1

This means that the input is 0

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The integral is evaluated by finding the bounds of integration and then evaluating the integral in 3 dimensions. The result is 32(\(e^16\) - 4).

The bounds of the triple integral are z = 0 ≤ z ≤ 16 −\(y^2\), x = -4 ≤ x ≤ 4, and y = -2 ≤ y ≤ 2.

The integral is given by:

∭Ex8eydV = ∫−2to2∫−4to4∫0to16−y2Ex8eydzdxdy

= 8∫−2to2∫−4to4∫0to16−y2exdzdxdy

= 8∫−2to2∫−4to4∫0to16−y2(\(e^16−y2−1\))dzdxdy

= 8∫−2to2∫−4to4\((e^16−y2−x4)\)dxdy

=\(8(e^16−y2−x4)\)|−4to4 = 8\((e^16−4−4−(e^16−4−4)\))

= 32(\(e^16\) - 4).

The given triple integral is ∭Ex8eydV where E is bounded by the parabolic cylinder z = 16 − y2 and the planes z = 0, x = 4 and x = −4. To evaluate this integral, we need to find the bounds of integration first. The bounds of the triple integral are z = 0 ≤ z ≤ 16 −\(y^2\), x = -4 ≤ x ≤ 4, and y = -2 ≤ y ≤ 2. Then, we substitute these values into the integral to obtain 8∫−2to2∫−4to4∫0to16−y2exdzdxdy. Next, we apply integration by parts so that the integral becomes 8∫−2to2∫−4to4(\(e^16\)−y2−x4)dxdy. Finally, we evaluate the integral to get the result which is 32(\(e^16\) - 4).

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Normative analysis seeks to prescribe how things should be valued, what should be, and what is good or just, better or worse.

It involves making judgments and recommendations based on ethical principles, social norms, and desired outcomes. Normative analysis goes beyond describing how things are and delves into the realm of moral and value-based judgments to guide decision-making and policy formulation. It often involves considering various ethical frameworks, societal values, and goals to determine the ideal or optimal course of action. Normative analysis is commonly used in fields such as ethics, philosophy, economics, and public policy to address questions of morality, justice, and desirable outcomes in society.

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= 1000

I know

I think hope this helps

Yes, it is appropriate to compute the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm.

With a mean of 0 and a standard deviation of 1, the standard normal distribution is a normal distribution. The standard deviation, which indicates how much a given measurement deviates from the mean, is given by the standard normal distribution, which has zero as its center.

As the sample size is sufficient (440000) and the standard deviation is known, it is appropriate to use a normal distribution to estimate the distribution of ladybug lengths. A 1.5 cm long ladybug's z-score can be calculated as follows:

z = (1.5 - 1) / 0.2 = 2.5

We can calculate the likelihood of a z-score being greater than 2.5 using a conventional normal distribution table to be roughly 0.0062. Hence, the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm is around 0.0062 or 0.62%.

Therefore, the correct answer is option d. Yes. Clear my choice.

The complete question is;

American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one:

a. No, because the population distribution is skewed.

b. No, because the sample size is less than 30.

c. No, because the empirical rule is violated.

d. Yes. Clear my choice

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Answer:

1

Step-by-step explanation:

Anything (besides 0) to the 0 power is 1.

The end behavior of the rational polynomial function \(f(x) = \frac{6x^3 - x^2 + 7}{2x + 5}\) is,

{x → ∞, y → ∞ and x → - ∞, y → ∞}.

A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.

The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

Given, A rational polynomial function \(f(x) = \frac{6x^3 - x^2 + 7}{2x + 5}\).

Now A cubic function divided by a linear function would result in a quadratic function, And as the coefficients of the highest degree terms of both the highest terms are positive the coefficient of the highest term of the quadratic function will also be positive and it's graph will be a parabola that opens upwards and symmetric about the y-axis.

Therefore, The end behavior will be when x tends to positive infinity y goes to positive infinity and when x tends to negative infinity y goes to positive infinity.

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Answer:

Table 2.

Step-by-step explanation:

Recall that by definition, a linear function increases linearly. That is, the rate of change between any two points is constant.

We can go through each table and verify its rate of change.

Table 1)

For Table 1, note that y = -19 when x = 0.

When x = 1, y = -11. In other words, we added 8 for every increase of one for x.

When x = 2, y = -3. We still increased by 8 for every increase of one for x.

When x = 3, y = 5. Since -3 + 8 = 5, all points in Table 1 shows a constant rate of change.

In conclusion, Table 1 represents a linear function.

Table 2)

For Table 2, note that y = -1.5 when x = 0.

When x = 1, y = -1.5. In other words, we increased by 3 for every increase of one for x.

However, when x = 2, y = 3. This time, we only increased by 1.5 for every increase of one for x. Since the two rates are not equivalent, Table 2 is nonlinear.

Table 3)

Again, note that for Table 3, y = 15 when x = 0.

When x = 1, y = 12. So, we decreased by 3 for every increase of one for x.

When x = 2, y = 9. And when x = 3, y = 6. For both cases, we still decreased by 3 for every increase of one for x.

In conclusion, Table 3 represents a linear function.

Therefore, the table that represents a nonlinear function is Table 2.

When ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

We are given that ab = 0, where a and b are variables or numbers.

According to the zero-product property, if the product of two factors is equal to zero, then at least one of the factors must be zero.

In our case, we have ab = 0. This means that the product of a and b is equal to zero.

To satisfy the condition ab = 0, at least one of the factors (a or b) must be zero. If either a or b is zero, then when multiplied with the other factor, the product will be zero.

It is also possible for both a and b to be zero, as anything multiplied by zero gives zero.

Therefore, based on the zero-product property, we can infer that either a = 0 or b = 0 when ab = 0.

In summary, when ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

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We reject the Nullhypothesis, we can interpret the decision as evidence that there has been a change in the top motivation for using a credit card among college students. However, if we fail to reject the null hypothesis, we cannot conclude that there has been a change.

To determine if there has been a change in the claimed or expected distribution of the top motivation for using a credit card among college students, a hypothesis test can be conducted. The null hypothesis would be that there is no change in the distribution, while the alternative hypothesis would be that there is a change.
Using the given information, we can calculate the expected distribution based on the survey conducted two years ago. Then, we can compare it to the distribution obtained from the current sample of 425 college students using a chi-square test. Assuming a significance level of 7%, the critical value for the chi-square test with 4 degrees of freedom (5 categories - 1) is 9.488. The rejection region would be any chi-square value greater than or equal to 9.488.
Once the test is conducted and the chi-square value is calculated, we compare it to the critical value and the rejection region. If the chi-square value falls in the rejection region, we can reject the null hypothesis and conclude that there has been a change in the claimed or expected distribution. On the other hand, if the chi-square value falls below the critical value, we fail to reject the null hypothesis and cannot conclude that there has been a change.
In this context, if we reject the null hypothesis, we can interpret the decision as evidence that there has been a change in the top motivation for using a credit card among college students. However, if we fail to reject the null hypothesis, we cannot conclude that there has been a change.

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The null hypothesis is that the distribution of top motivations for using a credit card among college students has not changed since the old survey. The alternative hypothesis is that the distribution has changed. The alternative hypothesis is claimed.

(b) The critical value and rejection region depend on the significance level chosen for the test. Assuming α = 0.05, the critical value for a chi-square goodness-of-fit test with 4 degrees of freedom is 9.488. The rejection region is the set of chi-square values greater than 9.488.

(c) We need to calculate the test statistic, which is the chi-square statistic for testing the goodness-of-fit of the observed frequencies to the expected frequencies under the null hypothesis. We can calculate the expected frequencies by multiplying the proportions from the old survey by the total sample size of 425:

Expected frequency for Rewards: 0.29 * 425 = 123.25

Expected frequency for Low Rates: 0.23 * 425 = 97.75

Expected frequency for Cash Back: 0.22 * 425 = 93.50

Expected frequency for Discounts: 0.07 * 425 = 29.75

Expected frequency for Other: 0.19 * 425 = 80.25

We can now calculate the chi-square statistic:

chi-square = Σ [(f_obs - f_exp)^2 / f_exp]

= [(112 - 123.25)^2 / 123.25] + [(97 - 97.75)^2 / 97.75] + [(108 - 93.50)^2 / 93.50] + [(47 - 29.75)^2 / 29.75] + [(61 - 80.25)^2 / 80.25]

= 6.606

(d) To decide whether to reject or fail to reject the null hypothesis, we compare the test statistic to the critical value. The test statistic is 6.606, which is less than the critical value of 9.488. Therefore, we fail to reject the null hypothesis. We do not have sufficient evidence to conclude that there has been a change in the claimed or expected distribution of top motivations for using a credit card among college students.

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The probability is that the married couple watches the show is 0.35.

According to the statement

We have to find the probability is that the probability that married couple watches the show is 0.35.

For this purpose, we know that the

Probability is the ratio of the number of outcomes to the total number of possible outcomes.

With the given information

a married man watches a certain television show is 0.4

the probability that a married woman watches the show is 0.5.

the probability that a man watches the show, given that his wife does, is 0.7

Then

Let M be the event that a married man watches a certain T.V.

And N be the event that a married woman watches the show.

The probability become

\(P(M)=0.4\)   \(P(F)=0.5\)

and the

\(P(\frac{M}{F} )=0.7\)

Then

The probability become is the

P(M∩F)=0.7*0.5

And

\(P=0.7*0.5\)

\(P=3.5\)

So, The probability is that the married couple watches the show is 0.35.

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This question was incomplete. Please find the full content below.

Question:

The probability that a married man watches a certain TV show is 0.4 and the probability that a married woman watches the show is 0.5. The probability that a man watches the show, given that his wife does, is 0.7. Then

the probability that married couple watches the show.

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Since all three principles of experimental design are likely to have been used in the study described, Therefore option D is correct.

All of the above are principles of experimental design. Randomization helps to ensure that groups are similar in all aspects except for the treatment received, reducing the effects of confounding variables. Replication allows for assessing the variability and consistency of results. Blinding reduces the risk of bias by preventing participants or researchers from knowing which treatment was received. The study described in the question uses all of these principles of experimental design.

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Answer:

$1.20

Step-by-step explanation:

The size of the angle θ (in radians) that will maximize the area of the triangle is 90 degrees.

To find the size of the angle θ (in radians) that will maximize the area of the triangle with sides of lengths 4 and 12, we can use the formula for the area of a triangle:

Area = (1/2) * a * b * sin(θ),

where a and b are the lengths of the two sides of the triangle, and θ is the angle between them.

In this case, we have a = 4 and b = 12. We want to find the value of θ that maximizes the area of the triangle.

To maximize the area, we need to maximize the value of sin(θ). The sine function reaches its maximum value of 1 when the angle is π/2 radians or 90 degrees.

Therefore, to maximize the area of the triangle, we set θ = π/2 radians.

In summary, the size of the angle θ (in radians) that will maximize the area of the triangle with sides of lengths 4 and 12 is π/2 radians or 90 degrees.

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Answer:

g + 1199 / 8

Step-by-step explanation:

3/4+65/8-23+78+92-6+g

1199/8+g

Did you find the answers it’s been 4 days ?

Answer:

Step-by-step explanation:

Its7

Answer:

I don't know what your question was but the radius would eqaul .089 so the area is 2.5

Answer:

0.89

Step-by-step explanation:

the area of the. ..............

Therefore, the maximum size for the building on the one-acre site would be 0.15 acres.

If the setback requirements and necessary parking spaces limit the building footprint (or foundation) to 15% of the land area, and the site is one acre in size, we can calculate the maximum size for the building by multiplying the land area by the allowed building footprint percentage.

Maximum size for the building = 1 acre * 15%

= 0.15 acres

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Answer:

20%

Step-by-step explanation:

you already know 10/50 is 20%, so what would change? nothing. that's your answer :)

percent means out of 100

50*2=100, so we can multiply all the other values by 2 to make it equal

there are 10 blue cups,

10*2 is 20. 20% of the cups are blue.

Hope this helps :)

The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.

An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.

Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).

The given interval is [1, 2]

The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'

The given statement is 'false'.

This is beacuse, an interval consists set of all the real values in between the two values given.

So, according to the definition, there are not only the end values but also many real values in between them.

Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.

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