Jack ran a distance represented by the expression 3x + 7. Jill ran a distance represented by the expression 9x + 21. Which describes how the distance that Jill ran compares to the distance that Jack ran? ​

A statistical package is likely to be used with quantitative research but not with qualitative research - True.

The collection and analysis of numerical data, such as survey responses or experimental measurements, is common in quantitative research, and statistical analysis is frequently used to summarise and interpret this data. In quantitative research, statistical software such as SPSS, R, or Stata are widely used to do data analysis and statistical tests.

In contrast, qualitative research often entails gathering and interpreting non-numerical data, such as interview transcripts or observational notes. Although statistical analysis may not be suited for this type of data, several software packages, such as NVivo, MAXQDA, or ATLAS.ti, can be used to manage and analyse qualitative data.

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Answer:

C

Step-by-step explanation:

Firstly, the triangle we are considering is triangle NOM

Now, the angle we are considering on this triangle is the angle O

mathematically, the sine of an angle is the ratio of the length of the opposite to the length of the hypotenuse of the angle

In this case, the hypotenuse of the angle is the sum of the squares of the two other sides according to Pythagoras’ theorem

Thus, the hypotenuse of the NOM triangle will be;

square root of 3^2 + 4^2 = square root of 25 = 5

The opposite of the angle we are considering is angle M which is 3

So, the sine of the angle we are considering is 3/5

The expected value of the sum of the numbers on the two balls is 6.7

To find the expected value of the sum of the numbers on the two balls, we need to calculate the sum of all possible pairs and divide by the total number of pairs.

There are a total of 10 pairs that can be selected from the urn. We can list all these pairs and their corresponding sums as follows

Pair 1: 1 + 2 = 3

Pair 2: 1 + 2 = 3

Pair 3: 1 + 7 = 8

Pair 4: 1 + 7 = 8

Pair 5: 2 + 2 = 4

Pair 6: 2 + 7 = 9

Pair 7: 2 + 7 = 9

Pair 8: 7 + 7 = 14

Pair 9: 2 + 1 = 3

Pair 10: 7 + 1 = 8

The sum of all possible pairs is 3 + 3 + 8 + 8 + 4 + 9 + 9 + 14 + 3 + 8 = 67.

The total number of pairs is 10.

Therefore, the expected value of the sum of the numbers on the two balls is

Expected value = Sum of all possible pairs / Total number of pairs

Expected value = 67 / 10

Expected value = 6.7

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The given question is incomplete, the complete question is:

An urn contains five balls numbered 1, 2, 2, 7, and 7. If a person selects a set of two balls at random, what is the expected value of the sum of the numbers on the balls?

Answer:

the answer is 88

Step-by-step explanation:

so what you have to do is multiply the sum of the length and width by 2

20+24=44          44 times 2 = 88

Factor by grouping: 16x³ +28x² - 28x - 49 = 0 is  (4x² - 7) (4x - 7) = 0

Large polynomials can be divided into groups based on a common factor. As a result, we may factor each distinct group and then merge like words. We refer to this as factoring by grouping.

We have the equation,

16x³ +28x² - 28x - 49 = 0

In order to solve the equation by using factor by grouping:

We find common terms in between,

So, we arrange the terms,

16x³ +28x² - 28x - 49 = 0

4x² (4x - 7) -7 (4x - 7) = 0

Here, we have common term (4x-7).

Factor out the common binomial.

(4x² - 7) (4x - 7) = 0

Therefore, (4x² - 7) (4x - 7) = 0 is the factor.

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Answer:

Below

Step-by-step explanation:

9/5  X   4/1  X  1/6   =  ( 9 x 4 x 1)  / (5 x 1 x 6) = 36/30  = 1 6/30 = 1  1/5

Answer:

1 1/5

Step-by-step explanation:

Simple exponential smoothing models are useful for data that do not have any significant upward or downward time trend. (Option 3)

The model works well for data that have a consistent level of variation over time and do not exhibit any pronounced seasonality. However, if the data exhibit a significant trend or seasonality, other modeling techniques may be more appropriate. Simple exponential smoothing models are often used for short-term forecasting or for smoothing out noise in the data to identify underlying patterns.

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Complete Question:

simple exponential smoothing models are useful for data, which have __. group of answer choices:

Answer:

Step-by-step explanation:

The missing factor has the form (x - a).  The given factor is (x - 7).  The product (a)(-7) must be -42, and therefore the missing factor is (x + 6)

If neither consumption nor investment are affected by changes in interest rates, the slope of the IS curve will be vertical.

The IS (Investment-Saving) curve represents the relationship between real output (Y) and the interest rate (r) in the goods and services market. In a standard macroeconomic model, the IS curve has a negative slope because a decrease in the interest rate leads to an increase in investment and consumption, which in turn leads to an increase in real output. However, if neither consumption nor investment are affected by changes in the interest rate, then the slope of the IS curve will be vertical.

The economic intuition behind this is that if consumption and investment are not affected by changes in the interest rate, then the interest rate has no impact on the demand for goods and services. Therefore, changes in the interest rate will not affect the level of real output. In other words, the vertical IS curve implies that the level of real output is fixed and independent of the interest rate.

This situation is often referred to as a "liquidity trap," where monetary policy becomes ineffective in stimulating economic growth because interest rates cannot be lowered enough to boost consumption and investment. This can happen when interest rates are already at or close to zero and cannot be lowered further. In a liquidity trap, fiscal policy (government spending and taxation) may be used to stimulate the economy instead of monetary policy

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Alan's average speed on his drive home is 27 mph

Since Alan drives to school at an average speed of 40 miles per hour and school is 16 miles from home, we need to find the time it takes Alan to get to school.

Since distance = speed × time

time = distance/speed = 16 miles/40 mph = 0.4 hours.

Since the total trip takes 1 hours, the time it takes alan to drive back home is total time - time to reach school = 1 - 0.4 = 0.6 hours.

Since the distance from school to home is 16 miles and it takes 0.6 hours to return home,

Alan's average speed on his drive home v = distance/time = 16 miles/0.6 hours = 26.67 mph ≅ 27 mph

So, Alan's average speed on his drive home is 27 mph

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Answer:

5 i think can i see the choices

Step-by-step explanation:

Answer:

(x,y) = (-1,3)

Step-by-step explanation:

hope this helps!

As per the reference document attached thereby along with the question statement, if (∠SOX = 160°), [∠1 = (x + 14)], and [∠2 = (3x – 10)], then the measure of ∠2 in degrees will be 113°

As per the reference document attached thereby along with the question statement, (∠SOX = 160°), and it's constituent angles

[∠1 = ∠SOW = (x + 14)], and [∠2 = ∠WOX = (3x – 10)],

And we are required to determine the measure of ∠2.

Since, [(∠SOW + ∠WOX) = ∠SOX],

Therefore, [{(x + 14) + (3x – 10)} = 160°]

Or, [{(x + 3x) + (14 - 10)} = 160°]

Or, [(4x - 4) = 160°]

Or, [4x = (160 + 4)°]

Or, (4x = 164°)

Or, [x = (164/4)°]

Or, (x = 41°)

Or, [(3x – 10) = {(3 * 41) - 10}°]

Or, [∠2 = (123 - 10)°]

Or, (∠2 = 113°)

That is, if (∠SOX = 160°), and it's constituent angles (∠1) and (∠2) measure as [∠1 = ∠SOW = (x + 14)], and [∠2 = ∠WOX = (3x – 10)], then the measure of ∠2 in degrees will be 113°

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Answer:

27°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 63° = 180°

x + 153° = 180° ( subtract 153° from both sides )

x = 27°

Answer:

27 degrees

Step-by-step explanation:

A right angled triangle has 1 angle as 90 degree. And as you know the other angle is 63 degree, and the angle sum property of a triangle is 180 degrees. So-

Let's take 'x' as the other angle.

90 + 63 + x = 180

153 + x = 180

x = 180 - 153 = 27

x = 27 degrees

So, the other angle is 27 degrees.

All the angles of the right-angled triangle are- 90, 63, 27.

Answer:

1/4 for blue then 1/4 for red

Step-by-step explanation:

All colors have a 1/4 chance of landing on them since there are only 4 colors.

The number of late insurance claim payouts per 100 should be measured with a p-chart. Therefore, the correct option is (e) p-chart.

A p-chart is a type of control chart used to monitor the proportion of nonconforming items in a sample, where nonconforming items are those that do not meet a certain quality standard or specification. In this case, the proportion of late insurance claim payouts would be the proportion of nonconforming items.

A p-chart is appropriate when the sample size is constant and the number of nonconforming items per sample can be either small or large. It is used to monitor the stability of a process and to detect any changes or shifts in the proportion of nonconforming items over time.

An X-bar chart and R-chart are used to monitor the mean and variability of a continuous variable, respectively, and would not be appropriate for measuring the number of nonconforming items.

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To rank the steps involved in transforming one couple to another couple in a parallel plane, here is the correct order:

Identify the initial couple and the desired final couple.

Determine the translation vector that will move the initial couple to the desired final couple.

Translate the initial couple using the determined translation vector. This will shift the entire couple in the parallel plane.

Verify that the translation has successfully moved the initial couple to the desired final couple.

If necessary, make any additional adjustments or transformations to align the initial and final couples precisely in the parallel plane.

Confirm that the final couple is now in the desired position and orientation relative to the initial couple, maintaining the parallelism of the plane.

By following these steps in order, you can effectively transform one couple to another in a parallel plane.

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Social-desirability biases is the sort of response bias that is the tendency of the survey respondent to answer the question in a manner that is favorable to others.

As Maria found that most respondents 98% of the voters were open to support women candidates. The social desirably bias poses a serious problem during the self-reporting as the bias interferes with the interpretations of the average tendencies.

As however during the anonymous survey of the voters or respondents showed only 80% of them would support the women candidate.

Hence the social desirability bias is the main culprit for such a response.

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The percent of the field goals did Samuel make will be 77.5%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:

= 31 / 40 × 100

= 77.5%

The percentage is 77.5%.

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Using the critical value, we should reject the null.

So,

Therefore, using the critical value, we should reject the null.

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Answer:

false

true

true

false

.......

The probability that you are correct by making a random guess is 1/5.

According to the given question.

On a multiple choice test, each question has 5 possible answers.

As we know that probability, is a measure of the likelihood of an event to occur. It is calculated by taking the ratios of favorable outcomes to the total number of outcomes.

Here, it is given that there are 5 possible answers of one question.

⇒ Total number of outcomes = 5

Also, only one answer will correct out of 5 possible answers.

Which means, total number of favorable outcomes = 1

Therefore, the probability that you are correct by making a random guess

= favorable outcomes/total number of outcomes

= 1/5

Hence, the probability that you are correct by making a random guess is 1/5.

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Option d) Z+ ⊆ R . That is not true. There are real numbers that are not integers. There are real numbers between any two consecutive integers.

For the given alternatives, the option that is false is option d. Z+ ⊆ R. a. Z≥ ⊆ ZZ≥ is the set of all non-negative integers. That is {0, 1, 2, 3,....}. It includes the set of integers Z. Hence, the statement Z≥ ⊆ Z is true.b. Z+ ⊆ Z≥Z+ is the set of all positive integers. That is {1, 2, 3,....}. It includes the set of non-negative integers Z≥. Hence, the statement Z+ ⊆ Z≥ is true.c. R ⊆ QR is the set of real numbers. Q is the set of rational numbers.

Z is the set of all integers. That is {..., -3, -2, -1, 0, 1, 2, 3, ...}.Z≥ is the set of all non-negative integers. That is {0, 1, 2, 3,....}.Z+ is the set of all positive integers. That is {1, 2, 3,....}.Q is the set of all rational numbers. These are numbers that can be written in the form p/q where p and q are integers and q ≠ 0.R is the set of all real numbers. These are numbers that include all rational numbers and also all irrational numbers. These are numbers that cannot be written as the ratio of two integers. Example of irrational numbers are π, √2, √3, etc.The statement Z≥ ⊆ Z means that every non-negative integer is also an integer. That is true.The statement Z+ ⊆ Z≥ means that every positive integer is also a non-negative integer. That is also true.

The statement R ⊆ Q means that every real number is also a rational number. This is not true. There are real numbers that are not rational numbers. Example of irrational numbers are π, √2, √3, etc.The statement Z+ ⊆ R means that every positive integer is also a real number.

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Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeee nose perdon xd

The derivative of a function represents the rate of change of the function with respect to its variable. This rate of change is described as the slope of the tangent line to the curve of the function at a specific point. The derivative of the cosine function can be found by applying the limit definition of the derivative to the cosine function.

\(f(x) = cos(x) then f'(x) = -sin(x)\).

Let's proceed with the proof.  Definition of the Derivative: The derivative of a function f(x) at x is defined as the limit as h approaches zero of the difference quotient \(f(x + h) - f(x) / h\) if this limit exists. Using this definition, we can find the derivative of the cosine function as follows:

\(f(x) = cos(x) f(x + h) = cos(x + h)\)

Now, we can substitute these expressions into the difference quotient: \(f'(x) = lim h→0 [cos(x + h) - cos(x)] / h\)

We can then simplify the expression by using the trigonometric identity for the difference of two angles:

\(cos(a - b) = cos(a)cos(b) + sin(a)sin(b)\)

Applying this identity to the numerator of the difference quotient, we obtain:

\(f'(x) = lim h→0 [cos(x)cos(h) - sin(x)sin(h) - cos(x)] / h\)

We can then factor out a cos(x) term from the numerator:

\(f'(x) = lim h→0 [cos(x)(cos(h) - 1) - sin(x)sin(h)] / h\)

We can then apply the limit laws to separate the limit into two limits:

\(f'(x) = lim h→0 cos(x) [lim h→0 (cos(h) - 1) / h] - lim h→0 sin(x) [lim h→0 sin(h) / h]\)

The first limit can be evaluated using L'Hopital's rule:

\(lim h→0 (cos(h) - 1) / h = lim h→0 -sin(h) / 1 = 0\)

Therefore, the first limit becomes zero:

\(f'(x) = lim h→0 - sin(x) [lim h→0 sin(h) / h]\)

Applying L'Hopital's rule to the second limit, we obtain:

\(lim h→0 sin(h) / h = lim h→0 cos(h) / 1 = 1\)

Therefore, the second limit becomes 1:

\(f'(x) = -sin(x)\)

Thus, we have proved that if \(f(x) = cos(x), then f'(x) = -sin(x)\).

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Answer:

D.27

Step-by-step explanation:

I took a picture of my work doing a explanation.

(sorry for the messy hand writing)

Angle AOC = 3x - 18 and Angle ABC = x + 10, the measure of angle AOC is: 72°

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. A pair of rays (half-lines) having a shared terminal are combined to form an angle. The latter is referred to as the angle's vertex, and the rays are sometimes referred to as the angle's legs and other times as its arms.

We have :

∠AOC + ∠COD + ∠BOD = 180°

Since AOB is a straight line:

⇒3x-10+50+x+20=180

⇒4x = 120°

⇒x = 30°

Thus, ∠AOC = 3x - 18

∠AOC = 3 × 30° - 18

∠AOC = 72°

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The correct answers for the test scores below 1230 is  68%.

Given:

\(x =1230\)

Average \(\mu = 1350\)

Standard deviation \(\sigma = 120\)

the Empirical Rule (68-95-99.7 rule) for normal distributions.

For normal distribution the Empirical Rule states that :

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

within three standard deviations of the mean approximately 99.7% of the data falls.

Given that the average score is 1350 and the standard deviation is 120, calculate the z-score for a score of 1230 as follows:

\(Z= \dfrac{x-\mu}{\sigma}\)

\(= \dfrac{1230-1350}{120}\\\\=\dfrac{-120}{120}\)

\(= -1\)

approximately 68% of test takers score below 1230.

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well, the shirt was on sale for 20% off, so that means that off the regular price of $40, that's

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 40}}{\left( \cfrac{20}{100} \right)40}\implies 8\hspace{5em}\stackrel{ 40~~ - ~~8 }{\text{\LARGE 32}}\)

now, let's apply the 5% taxation to that

\(\stackrel{\textit{5\% of 32}}{\left( \cfrac{5}{100} \right)32}\implies 1.6\hspace{5em}\underset{ \textit{final price for Lydia} }{\stackrel{ 32~~ + ~~1.6 }{\text{\LARGE 33.60}}}\)

Answer:

Step-by-step explanation:

(D) $33.60

understanding the steps for problem.
Price . . . $40.00    
off 20% (-)8.00 = $32.00    
. . . . . . . . . . . . 5% (+)  1.60 = $33.60

answer D. $33.60