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Using inferential statistics, it is found that the option that is best surveyed from the collected in the survey is given by:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

An inferential statistic is one that makes inference or predictions about a population based on a sample.

From the table, we have that cookies and cream is the most popular flavor, hence the correct option is:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

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The comparison between the square root of one hundred sixty and one hundred sixteen ninths is √160>√116/9.

To compare the square roots of 160 and 116/9, follow these steps:

The comparison between the square root of one hundred sixty and one hundred sixteen ninths is √160>√116/9, which is also 12.65>3.59

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Answer:

7(u+2)=42

7u+14=42

-14 -14

7u=28

u=4

The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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A leading question is worded in a way that will influence the response of the question.

A leading question is worded in such a way that it has the tendency to lead the person being asked the question to a specific answer. A leading question can be said to be a question that is worded or constructed in a way that assumes a particular answer and in turn, encourages a particular response from the person being asked the question. A leading question may involve asking a question that presumes the answer, such as, "You believe that it is important to support animal rights, don't you?". Such a question may encourage the respondent to say yes even if they do not believe that supporting animal rights is important. This is because the question has already led them to the desired response. Another example of a leading question may involve asking a question that is framed in a way that encourages a particular response. For instance, asking "How many times do you watch television each day?" may lead to a different response compared to asking "Do you watch television often?".

Therefore, a leading question is worded in a way that will influence the response to the question. By doing so, the person asking the question is likely to obtain the response they are seeking. The answer to this question is option B. A leading question is worded in a way that will influence the response of the question.

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Answer:

x= -8

Step-by-step explanation:

Simple math

Answer: x = -8

7(x + 2) = 6(x + 1)

⇔ 7x + 14 = 6x + 6

⇔ 7x - 6x = 6 - 14

⇔ x = -8

Step-by-step explanation:

The total number of isomers with the formula [Pd(C2O4)2I2]2– is 3150.

There are two parts to this answer: the first part is to determine the coordination number of the central palladium (Pd) atom, and the second part is to determine the number of possible isomers based on the coordination number.

To determine the coordination number, we need to count the number of ligands (the molecules that bind to the central atom) attached to the Pd atom. In this case, we have four oxalate (C2O4) ligands, each of which contributes two atoms (a total of eight atoms), and two iodide (I) ligands, each of which contributes one atom (a total of two atoms). This gives us a total of 10 ligands attached to the Pd atom. Since each ligand can only form one bond with the Pd atom, the coordination number is 10.

Next, we need to determine the number of possible isomers. Isomers are molecules with the same chemical formula but different arrangements of atoms. For this complex ion, there are two types of isomers: geometrical and optical.

Geometrical isomers arise from the fact that the ligands can be arranged around the central atom in different ways. In this case, since there are 10 ligands, there are a total of 10!/[(4!2!2!)x2] possible geometrical isomers, or 3150.

Optical isomers arise when there are non-superimposable mirror images of the molecule. However, since this complex ion has a plane of symmetry, it is achiral and does not have optical isomers.

Therefore, the total number of isomers with the formula [Pd(C2O4)2I2]2– is 3150.

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Answer:

16a^2+16a-5

Step-by-step explanation:

set the equations up as a binomial and use FOIL to distribute then add like terms:

(4a+5)(4a-1)

=16a^2-4a+20a-5

=16a^2+16a-5

Answer: (2, 5)

Step-by-step explanation:

y = 2x + 1 y = 4x − 3

Eliminate the equal sides of each equation and combine.

2x + 1 = 4x − 3

Solve 2x + 1 = 4x − 3 for x.

Move all terms containing x to the left side of the equation.

Subtract 4x from both sides of the equation.

2x + 1 − 4x = −3

Subtract 4x from 2x.

−2x + 1 = −3

Move all terms not containing x to the right side of the equation.

Subtract 1 from both sides of the equation.

−2x = −3 − 1

Subtract 1 from −3.

−2x = −4

Divide each term by −2 and simplify.

x = 2

Evaluate y when x = 2.

Substitute 2 for x. y = 4 (2) − 3

Simplify 4 (2) − 3.

Multiply 4 by 2.

y = 8 − 3

Subtract 3 from 8.

y = 5

The solution to the system is the complete set of ordered pairs that are valid solutions.

(2, 5)

The result can be shown in multiple forms.

Point Form:

(2, 5)

Equation Form:

x = 2, y = 5

This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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The total surface area of the pyramid is 817 ft squared.

The surface area of the pyramid Jane is painting can be calculated as follows:

area of the pyramid = A + 1 / 2 ps

where

Therefore,

A = 19² = 361 ft²

p = 4(19) = 76 ft

s = 12 ft

Total surface area of the pyramid =  361 + 1 / 2 (76)(12)

Total surface area of the pyramid = 361 + 456

Total surface area of the pyramid = 817 ft²

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Answer:

x = -3

Step-by-step explanation:

The integral of the function, \(\int_{0}^{3} \frac{1}{\sqrt{9+x^2}} dx\)= ln|√2 +1|

To find the integral, follow these steps:

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tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).

The tangent of 36° can be expressed in terms of its cofunction, which is the cotangent. The cotangent of an angle is equal to the reciprocal of the tangent of that angle. Therefore, we can rewrite tan 36° as cot (90° - 36°).

Now, cot (90° - 36°) can be simplified further. The angle 90° - 36° is equal to 54°. So, we have cot 54°.

The cotangent of 54° can be determined using the unit circle or trigonometric identities. In this case, the exact answer for cot 54° is (√3 + 1) / (√3 - 1).

Hence, tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).

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The standard form of a quadratic function is:

`f(x) = ax^2 + bx + c`

If the zeros of the function are 3 and 1/2, then the factors of the function are:

`(x - 3)` and `(x - 1/2)`

To find the quadratic function using these factors, you can first multiply them together:

`(x - 3)(x - 1/2) = x^2 - 7/2x + 3/2`

Now we have:

`f(x) = x^2 - 7/2x + 3/2`

This is the quadratic function in standard form that has zeros of 3 and 1/2.

Answer:

No

Step-by-step explanation:

The function y=-3x-2 does not go through the ordered pair (2,3).

Answer: 107.50

Step-by-step explanation:

RCV is more expensive compared to ACV, therefore, Shawn would have to pay more to insure his belongings with RCV coverage.

As Shawn rents an apartment in an all-brick building located in a historic, downtown neighborhood and the value of the belongings in the apartment is about $25,000, he will have to pay around $125 to $375 per year to insure his belongings while renting depending on the type of coverage he chooses.

A renter’s insurance policy can protect the belongings of renters who live in an apartment or house they rent and covers their liability towards others in case they get injured. For this reason, the cost of renter’s insurance will vary depending on the type of coverage needed. If Shawn wants more coverage, then he will pay a higher rate. There are two types of coverage which include actual cash value (ACV) and replacement cost value (RCV).

ACV is a coverage that pays for the value of the belongings, minus the depreciation. Whereas, RCV is a coverage that pays for the cost of replacing the belongings, regardless of their current value.  

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The number of ways voters could rank their first 5 choices out of 10 is 30240.

Given,

Number of students sought the nomination for president of the student body = 10 students

We have to find the number of ways voters could rank their first 5 choices.

Permutation;

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order.

Here we have to use permutation formula;-

ⁿPr = n! /  (n - r)!

Here,

n is the number of students = 10

r is the choices = 5

Then,

ⁿPr = n! /  (n - r)!

¹⁰P₅ = 10! / (10 - 5)!

¹⁰P₅ = 10! / 5!

¹⁰P₅ = 10 x 9 x 8 x 7 x 6

¹⁰P₅ = 30240

That is,

The number of ways voters could rank their first 5 choices out of 10 is 30240.

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The number of degrees of freedom for the pooled t-test is 52.

Calculation:

Degrees of freedom (df) = n1 + n2 - 2

The pooled t-test is used to compare the means of two independent samples drawn from normal distributions with equal variances. The test assumes that the population variances are equal, and it combines information from both samples to estimate the common variance.

This pooled estimate of the variance is then used to calculate the t-statistic for testing the null hypothesis that the population means are equal.

The degrees of freedom for the pooled t-test are calculated by subtracting 2 from the total sample size. This is because two parameters (the means) are being estimated in the test.

In this case, the total sample size is 54 (n1 + n2), so the degrees of freedom are 52 (54 - 2).

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Answer:

g= 6.5

Step-by-step explanation:

O.25(g+1.5) = 2

(g+1.5) = 2/0.25 divide both sides with 0.25

g+1.5 = 8

g = 8-1.5

g = 6.5

Answer:

A. don't know if this helps but with plotting but (x, y) the x always comes first

Answer:

A

Step-by-step explanation:

A. Derek decorates 5 cookies every 10 mins

The sample mean of 5.2 hours represents the average sleep duration observed in the sampled group of 29 students, while the claimed population mean of 6.2 hours represents the average sleep.

In the context of statistical inference, the term "sample mean" refers to the average of a subset of data taken from a larger population, while the "population mean" represents the average of the entire population.

In this scenario, the value 6.2 hours represents the claimed population mean. This is the average sleep duration stated in the college newspaper article,

which claims to represent the average sleep time of all college students. It is an estimate of the population mean based on available information.

On the other hand, the value 5.2 hours represents the sample mean. It is the average sleep duration observed from a randomly sampled group of 29 students.

The student who conducted the survey wanted to test the claim made in the newspaper article by collecting data from a smaller subset of the population.

The sample mean serves as an estimate of the population mean. By calculating the average sleep duration from the sampled students, the student aimed to make an inference about the larger population of college students.

The sample mean provides insight into the sleep habits of the sampled students, but it may or may not accurately reflect the population mean.

In summary, the sample mean of 5.2 hours represents the average sleep duration observed in the sampled group of 29 students,

while the claimed population mean of 6.2 hours represents the average sleep duration stated in the college newspaper article for all college students.

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In this scenario, the shape of the sampling distribution of X-bar is approximately normal.

The sampling distribution of the sample mean, X-bar, can be determined by the Central Limit Theorem. In this case, since the sample size is large (n = 64) and the underlying distribution (X) is approximately normal, the sampling distribution of X-bar will also be approximately normal. The Central Limit Theorem states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of X-bar tends to become more and more normal. Therefore, in this scenario, the shape of the sampling distribution of X-bar is approximately normal.

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Answer:

x = 2

Step-by-step explanation:

Set the equations equal to each other, since JK + KL = JL

8x + 11 = 14x - 1 now solve

12 = 6x

2 = x

Answer:

2812.5

Step-by-step explanation:

When the sample size is small and the population distribution is not normal, the mean is a biased estimate.

Nonetheless, the bias of the mean reduces as the sample size grows, making it a more trustworthy estimator. As a result, the mean is the biased estimator whose bias will decrease as the sample size increases.

Increasing the sample size has no impact on the bias of the median, standard deviation, and range estimators since they are non-biased estimators.

These estimators may, however, be made more precise and accurate by increasing the sample size, which increases their dependability for predicting population parameters.

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Complete question:

Which biased estimator will have a reduced bias based on increased sample size? mean median standard deviation range

The percentile score of 71 on test score is 27 and the score of victor is 71.

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

Given, the teacher recorded unit 4 test scores from class.

The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.

A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.

The percentile rank of a score of 71 on the test is find by formula

\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)

=100×4+1/2(1)/15

=400+0.5/15

=400.5/15

=26.7=27th

Now we need to find the score of victor who has 60th percentile.

60=Score/15

score=71

Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.

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1) Looking at the first table, we can see that this is a proportional relationship given by y=8.5x

So Anna charges:

Number of hours (x) | Amount (y)

1 8.5

2 17

5 42.5

8 68

11 93.5

a) The expression for her earnings in 11 hours:

y=8.5(11) ⇒ y = 68

$68

b) She'll earn $29.75. We can get it by plugging into that formula.

3 1/2 = 3.5

y= 8.5(3.5)

y=29.75

$29.75

c) To know how long, we plug 51 for y. Since x is for hours.

y=8.5x

51=8.5x Divide both sides by 8.5

x=6

She'll take 6 hours to get $51.00 working as a baby sitter.