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Answer:

The quadratic formuls that this graph represents is: f (x) = -x 2 -2x +3

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The normal approximation to the binomial distribution also implies that the sampling distribution of p is roughly bell-shaped, as the normal distribution is. Therefore, the answer is A) The shape.

The sampling distribution of the proportion is the distribution of all possible values of the sample proportion that can be calculated from all possible samples of a certain size taken from a particular population in statistical theory. The state of the examining dispersion of p is generally chime molded, as it is an illustration of a binomial conveyance with enormous n and moderate p.

The example size (n=900) is sufficiently enormous to legitimize utilizing an ordinary guess to the binomial dissemination, as indicated by as far as possible hypothesis. In order for the binomial distribution to be roughly normal, a sample size of at least 30 must be present, which is achieved.

Subsequently, the examining dispersion of p can be thought to be around ordinary with a mean of 0.532 and a standard deviation of roughly 0.0185 (involving the equation for the standard deviation of a binomial distribution).The typical estimate to the binomial dissemination likewise infers that the inspecting conveyance of p is generally chime molded, as the ordinary circulation is. As a result, A) The shape is the response.

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Answer:

Point Form: (- 1/4, 5/4)

Equation Form: x = - 1/4, y  = 5/4

Step-by-step explanation:

Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression

The antiderivative is also known as an indefinite integral, while the definite integral gives the area under the curve of a function.

The antiderivative of f(t) = e^(7t) is given as F(t).

The most general form of the antiderivative of f(t) = e^(7 t) is as follows:

F(t) = (1/7)e^(7t) + Cwhere C is the constant of integration.

The constant of integration arises because there is an infinite number of functions whose derivative is e^(7t), and so we must add a constant to our antiderivative to include all of them.  

In this case, the constant of integration is represented by C.

The antiderivative of a function is the opposite of its derivative. The antiderivative is also known as an indefinite integral, while the definite integral gives the area under the curve of a function.

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The computer output provided.

It seems that the experimenter used one factor in the experiment.

It is unclear how many levels of the factor were used, as this information is missing from the output.

The total number of observations in the experiment, which is not given. Estimate the number of replicates based on the degrees of freedom for error, which is 16.

Assuming that each replicate had equal sample size, we can calculate the total number of observations as follows:
\(Total observations = (df for error + df for factor) + 1\)
\(Total observations = (16 + df for factor) + 1\)
\(Total observations = 17 + df for factor\)
Since we do not know the value of df for factor, we cannot determine the exact number of replicates.

We can say that the experimenter used at least 17 observations in total.
To fill in the missing information in the ANOVA table, we need to know the number of levels of the factor and the number of replicates. Assuming that there were k levels of the factor and n replicates, we can calculate the following:
\(SS factor = MS factor \times (n - 1) \times k\)

\(MS factor = SS factor / (k - 1)\)
\(F = MS factor / MS error\)

P-value = probability of obtaining an F-statistic as extreme as the observed value, assuming the null hypothesis is true
Without knowing the values for k and n, we cannot fill in the missing information in the ANOVA table.
Finally, based on the information given, we cannot draw any conclusions about differences in the factor-level means. We need more information about the experiment, such as the hypothesis being tested, the nature of the factor, and the specific levels being compared, in order to make any meaningful conclusions.

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Answer:

Mean- 3.41 feet or 3 feet 5 inches

Median- 3.25 feel or 3 feet 3 inches

Standard deviation- 0.8 foot

IQR- 0.45 foot

Step-by-step explanation: THESE ARE THE ANSWERS IF YOU CHANGE FROM INCHES TO FEET. The answer doesn't change same measurement.

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There would be no-static change if the length of the jumps is measured in feet instead of inches.

Given that,
The mean is 41 inches, the median is 39 inches, the standard deviation is about 9.6 inches, the IQR is 5.5 inches, how does each statistic change if the length of the jumps is measured in feet instead of inches is to be determined.

The statistic is the study of mathematics that deals with relations between comprehensive data.

For the conversion of the length from inches to feet would not affect the static data but the values of observation will change with respect to the standard of conversion which is for 1 foot = 12 inches or  1 inch = 1 / 12 feet.

Thus, there would be no-static change if the length of the jumps is measured in feet instead of inches.

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Comparing the z-scores, a score of 94 on a test with a mean of 72 and a standard deviation of 11 is relatively better than a score of 687 on a test with a mean of 447 and a standard deviation of 150, as the z-score of the first test (2) is higher than the z-score of the second test (1.6).

To determine which score is relatively better, we will calculate the z-scores for both test results using the given mean and standard deviation values. A z-score represents how many standard deviations a data point is away from the mean. The higher the z-score, the better the performance relative to the mean.

For the first test:
1. Subtract the mean (72) from the score (94): 94 - 72 = 22
2. Divide the difference (22) by the standard deviation (11): 22 / 11 = 2

The z-score for the first test is 2.

For the second test:
1. Subtract the mean (447) from the score (687): 687 - 447 = 240
2. Divide the difference (240) by the standard deviation (150): 240 / 150 = 1.6

The z-score for the second test is 1.6.

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Answer:

In this case since you have fraction you must make sure the limit x value does not make the denominator 0. In this case it does, so you have to factor the expressions to try to cancel out like terms when dividing. Use the method of factoring polynomials to find the solution. It is too late for me but I told you how you can answer it. Once you can plug in 2 into the denominator and not get 0, you can evaluate the limit. Keep practicing!

Step-by-step explanation:

The experimental (empirical) probability that the next child is a boy given that a family has five children: 3 boys and 2 girls is 0.6.

Given that the family has five children, 3 of whom are boys and 2 are girls. If we want to know the experimental probability that the next child is a boy, we need to find the ratio of the number of boys to the total number of children. Since the family has three boys and two girls, the total number of children is:
Total number of children = 3 + 2 = 5
Therefore, the probability of the next child being a boy is given by the ratio of the number of boys to the total number of children.
P(B) = Number of boys/Total number of children
P(B) = 3/5P(B) = 0.6
Therefore, the experimental (empirical) probability that the next child is a boy is 0.6.

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Performance relative to the whole class refers to an individual's academic achievement in comparison to the rest of their peers in a particular subject or course.

We describe performance relative to the whole class.

To do this, we'll be using the terms "average", "percentile rank", and "standard deviation".
Average:

Calculate the average performance of the whole class by adding all students' scores and then dividing by the number of students.

This will give you a baseline to compare individual performances against the class average.
Percentile Rank:

Determine the percentile rank of a student by calculating the percentage of students in the class who scored lower than them.

For example, if a student is in the 75th percentile, it means they performed better than 75% of the class.
Standard Deviation:

Calculate the standard deviation, which measures the spread of scores within the class.

A low standard deviation indicates that most students have similar performances, while a high standard deviation shows more variability in scores.
By considering these three factors, you can effectively describe a student's performance relative to the whole class. For example, you might say: "John scored above the class average, placing him in the 80th percentile with a moderate standard deviation, indicating that his performance is better than the majority of his classmates."

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After establishing trust with a potential customer, you should present opportunities. The primary enablers of change are awareness and motivation.

Once trust has been established with a potential customer, the next step is to present them with opportunities that are tailored to their needs and interests. This involves understanding their goals, challenges, and preferences, and then presenting them with solutions that address those factors.

By presenting opportunities, you can demonstrate the value of your products or services, and how they can benefit the customer. This can include providing examples of how your product or service has helped other customers with similar challenges, offering customized solutions, or providing incentives such as discounts or special promotions. The key is to be responsive to the customer's needs and to show that you are committed to their success.

The primary enablers of change are awareness and motivation. When individuals become aware of a need for change or improvement in their lives, they are motivated to take action. This motivation can come from a variety of sources, such as a desire to achieve a goal, a need to address a problem, or a desire to improve their quality of life.

Once individuals are motivated to change, they are more likely to take the necessary steps to achieve their goals. This can involve seeking out information and resources, setting goals and developing a plan of action, and taking steps to overcome obstacles and challenges along the way. By staying focused on their goals and remaining motivated, individuals can successfully achieve positive change in their lives.

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Answer:

x = 2y+4

y = 3x2 squared 2

x = y

Step-by-step explanation:

Answer:

Option A ( 86 Degrees)

Step-by-step explanation:

To convert Celsius to Fahrenheit formula is:

\(F = \frac{9}{5} C + 32\)

\(F = \frac{9}{5} 30 + 32\)

\(F = 54 + 32\)

\(F = 86 Degree\)

Answer:

59,09

.........................................................

Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.

In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.

In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.

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Answer:

60.4 steps per minute

755 divided by 25/2 (12 1/2) equals 60.4

The integration is (1/4)x sin 4x + (1/16)cos 4x + C.

To evaluate the integral ∫ x cos 4x dx using integration by parts, we need to use the formula ∫u dv = uv - ∫v du. We are given that u = x and dv = cos 4x dx. Now, we need to find v and du.

To find v, we need to integrate dv. So, v = ∫cos 4x dx = (1/4)sin 4x + C.

To find du, we need to differentiate u. So, du = dx.

Now, we can plug in the values of u, v, du, and dv into the formula and simplify:

∫ x cos 4x dx = x(1/4)sin 4x - ∫(1/4)sin 4x dx

= (1/4)x sin 4x - (1/4)∫sin 4x dx

= (1/4)x sin 4x - (1/4)(-1/4)cos 4x + C

= (1/4)x sin 4x + (1/16)cos 4x + C

So, the final answer is (1/4)x sin 4x + (1/16)cos 4x + C.

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Use the property of determinant det(AB) = det(A)det(B) and the fact that A and A' have the same transpose to show that det(AAT) = (det(A))^2, and then use the fact that AAT is similar to A'A to conclude that they have the same characteristic polynomial. Option C is the correct answer.

Start with det(AAT). Use the formula det(AB) = (det A)(det B) to write det(AAT) = (det A)(det A). Then use the formula AAT = EI.

We can show that A and A' have the same characteristic polynomial by showing that they have the same eigenvalues.

Let λ be an eigenvalue of A with corresponding eigenvector x. Then we have:

Ax = λx

Multiplying both sides by A' on the left, we get:

A'Ax = A'λx

Using the fact that A'A = AA' = I, we can simplify this expression to:

x = λA'x

This shows that λ is also an eigenvalue of A' with corresponding eigenvector A'x. Therefore, A and A' have the same set of eigenvalues, which means that they have the same characteristic polynomial.

To prove this using determinants, we start with det(AAT). Using the property det(AB) = (det A)(det B), we can write:

det(AAT) = det(A)det(AT)

Since det(AT) = det(A) (which can be shown using the fact that det(AT) = det(A) and the property det(AB) = det(A)det(B)), we can simplify this expression to:

det(AAT) = (det A)^2

Using the fact that AAT = EI, we can write:

det(AAT) = det(EI)

Since det(EI) = 1, we have:

(det A)^2 = 1

Taking the square root of both sides, we get:

det A = ±1

This means that A and A' have the same set of eigenvalues, which implies that they have the same characteristic polynomial.

So, the correct option is C.

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Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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The rate of change of the marginal cost with respect to the production level when q = 4 units is 299 dollars per unit per unit.

Hence, the correct option is D.

To find the rate of change of the marginal cost with respect to the production level when q = 4 units, we need to compute the derivative of the total cost function C(q) with respect to q and evaluate it at q = 4.

Given that C(q) = 6q³ + 11q + 124, we can find the derivative as follows

dC(q)/dq = d(6q³)/dq + d(11q)/dq + d(124)/dq

= 18q² + 11 + 0

= 18q² + 11

Now, we can evaluate the derivative at q = 4

dC(q)/dq = 18(4)² + 11

= 18(16) + 11

= 288 + 11

= 299

Therefore, the rate of change of the marginal cost with respect to the production level when q = 4 units is 299 dollars per unit per unit.

Hence, the correct option is D.

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When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

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Answer:

a = 64

Step-by-step explanation:

a - 4/5 = 12

a - 4 = 12 (5)

a = 60 + 4

a = 64

The most general antiderivative of the function f(x) = 3x + 7cos(x) is F(x) = 3/2x² + 7sin(x) + C, where C is the constant of the antiderivative.

To find the antiderivative of f(x), we use the rules of integration. The antiderivative of 3x with respect to x is (3/2)x^2, using the power rule of integration, which states that the antiderivative of xⁿ is (1/(n+1))xⁿ⁻¹, where n is a constant.

Next, the antiderivative of 7cos(x) with respect to x is 7sin(x), using the rule of integration for cosine, which states that the antiderivative of cos(x) is sin(x).

Finally, since the constant of integration can take any value, we denote it as C.

Putting it all together, the most general antiderivative of f(x) is F(x) = 3/2x² + 7sin(x) + C.

Therefore, the most general antiderivative of the given function is F(x) = 3/2x² + 7sin(x) + C, where C is the constant of the antiderivative.

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Answer:

14 is the simplified answer, but the whole answer is 17 + -18/6

Step-by-step explanation:

Divide

−

18 by 6. h (−18) = 17 − 3 Subtract  3 from 17. h (−18)= 14

The final answer is 14.

Answer:

-13w-7

Step-by-step explanation:

-6w+(-8)+1+(-7w)

-6w-8+1-7w

-6w-7w-8+1

-13w-8+1

-13w-7

Answer:

B. -13w-7

Step-by-step explanation:

First, let's simplify the problem by grouping the like terms together: (-6w),  (-7w), and (-8), (1).

Second, now that you know the like terms solve them each individually:

(-6w) + (-7w) = -13w

(-8) + 1 = -7

So your answer is -13w minus -7

The required function will be

y= 500-10x

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

let amount of money = x and

number of remaining candy =y

total 500 remaining candies= total 10x amount of money

y= 500-10x

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Answer:

d :4h

Step-by-step explanation:

hope this helps (;