he classical dichotomy is the separation of real and nominal variables. the following questions test your understanding of this distinction. taia divides all of her income between spending on digital movie rentals and americanos. in 2016, she earned an hourly wage of $28.00, the price of a digital movie rental was $7.00, and the price of a americano was $4.00. which of the following give the real value of a variable? check all that apply.

Answers

Answer 1

In the given scenario, the nominal variables are Taia's income, the price of a digital movie rental, and the price of an americano. The real variables would be Taia's income adjusted for inflation, the real price of a digital movie rental, and the real price of an americano.

To calculate the real value of a variable, we need to adjust it for inflation using a suitable price index. As the question does not provide any information about inflation, we cannot calculate the real value of any variable.

Therefore, none of the options given in the question would give the real value of a variable.
Hi! I'd be happy to help you with this question. In the context of the classical dichotomy, real variables are quantities or values that are adjusted for inflation, while nominal variables are unadjusted values.

In the given scenario, Taia spends her income on digital movie rentals and americanos. We have the following information for 2016:

1. Hourly wage: $28.00 (nominal variable)
2. Price of a digital movie rental: $7.00 (nominal variable)
3. Price of an americano: $4.00 (nominal variable)

To determine the real value of a variable, we need to adjust these nominal values for inflation. However, the question does not provide any information about the inflation rate or a base year for comparison. Thus, we cannot calculate the real values for these variables in this scenario.

In summary, we do not have enough information to determine the real value of any variable in this case. Please provide the inflation rate or base year if you'd like me to help you calculate the real values.

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Related Questions

Provide an overview of the Fentanyl epidemic and layout the
strategy you would utilize to end it.

Answers

By employing this comprehensive approach, it is possible to address the Fentanyl epidemic and work towards reducing its devastating impact on individuals and communities


The Fentanyl epidemic refers to the widespread misuse and abuse of Fentanyl, a powerful synthetic opioid painkiller. This opioid is 50 to 100 times more potent than morphine, which makes it highly addictive and prone to overdoses. The epidemic has been exacerbated by the increased availability of illicitly manufactured Fentanyl, leading to a significant increase in overdose deaths and addiction rates.

To end the Fentanyl epidemic, I would suggest the following multi-pronged strategy:

1. Education and awareness: Increase public awareness of the dangers of Fentanyl and its addictive potential through targeted educational campaigns and outreach programs.

2. Monitoring and regulation: Strengthen regulations around prescription and distribution of Fentanyl to reduce over-prescribing and diversion to the illicit market.

3. Access to treatment: Expand access to evidence-based addiction treatment options, including medication-assisted treatment and counseling, to help those struggling with Fentanyl addiction.

4. Law enforcement and interdiction: Improve coordination between law enforcement agencies to better detect and disrupt the supply of illicit Fentanyl and related substances.

5. Harm reduction: Implement harm reduction strategies, such as supervised injection facilities and distribution of naloxone, a medication that can reverse the effects of an opioid overdose, to save lives and reduce the risk of transmission of infectious diseases.

By employing this comprehensive approach, it is possible to address the Fentanyl epidemic and work towards reducing its devastating impact on individuals and communities.

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the cost per minute is $.20, and the cost per mile is $1.40. let x be the number of minutes and y the number of miles. at the end of a ride, the driver said that you owed $14 and remarked that the number of minutes was three times the number of miles. find the number of minutes and the number of miles for this trip.

Answers

The number of miles is 7 while the number of minutes for this trip is 21.

Let x represent the number of minutes and y represent the number of miles. According to the given information, we have two equations:

1) 0.20x + 1.40y = $14
2) x = 3y

First, we will solve equation (2) for x:

x = 3y

Next, substitute this value of x into equation (1):

0.20(3y) + 1.40y = $14

Now, simplify and solve for y:

0.60y + 1.40y = $14
2.00y = $14
y = 7

Now that we have the value for y (number of miles), we can find the value for x (number of minutes) using equation (2):

x = 3y
x = 3(7)
x = 21

So, the number of minutes for this trip is 21, and the number of miles is 7.

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4. What are the median and mode of the
plant height data?

⬇️

Numbers:

13,14,15,17,17,17,19,20,21

Answers

Answer: 5

Step-by-step explanation:

Answer:17

Step-by-step explanation:

The median of this data set is 17, since if you cross one # off of both sides, you will eventually get to the middle fo the data set, pointing to 17.

Is the number one question surface area right?

Answers

Yes it should be surface area

If A and B are independent events with P(A) = 0.4 and P(B) = 0.25, then P(A È B) =
a. 0.65
b. 0.10
c. Not enough information is given to answer this question.
d. 0.55

Answers

If A and B are independent events with P(A) = 0.4 and P(B) = 0.25, then P(A È B) =The answer is d. 0.55.


Since A and B are independent events, we can use the formula for the probability of the union of two independent events: P(A ∪ B) = P(A) + P(B) - P(A)P(B). Given P(A) = 0.4 and P(B) = 0.25, we can calculate P(A ∪ B) as follows:

P(A ∪ B) = 0.4 + 0.25 - (0.4)(0.25) = 0.4 + 0.25 - 0.10 = 0.55

Or we can calculate as follows:

To find P(A È B), we use the formula: P(A È B) = P(A) + P(B) - P(A and B)

Since A and B are independent, P(A and B) = P(A) x P(B) = 0.4 x 0.25 = 0.1

Therefore, P(A È B) = 0.4 + 0.25 - 0.1 = 0.55.

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Lena says that 4xy³ and -5x³yare like terms. Is she correct? Why or not ?

Answers

No, 4xy³ and -5x³y are not like terms because they cannot be added or subtracted

What are algebraic expressions?

Algebraic expressions are defined as expressions that are composed of terms, their coefficients, their variables, constants and factors.

These algebraic expressions are also identified with the presence of arithmetic operations, such as;

BracketParenthesesAdditionSubtractionMultiplicationDivision

It is important to note that like terms are terms an algebraic expression have like variables but not always coefficients. These terms also can be added or subtracted.

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The function f(x)=xln(1+x)�(�)=�ln⁡(1+�) is represented as a power series. Find the first few coefficients in the power series. Find the radius of convergence of the series.

Answers

To find the first few coefficients in the power series for the function f(x) = x * ln(1+x), we will use the Taylor series expansion. The Taylor series for ln(1+x) is:

ln(1+x) = x - (x^2)/2 + (x^3)/3 - (x^4)/4 + ...

Now, multiply each term by x:

x * ln(1+x) = x^2 - (x^3)/2 + (x^4)/3 - (x^5)/4 + ...

The first few coefficients in the power series are: 0 (constant term), 0 (x term), 1 (x^2 term), -1/2 (x^3 term), 1/3 (x^4 term), and -1/4 (x^5 term).

For the radius of convergence, we'll use the Ratio Test. Observe the absolute value of the ratio of consecutive terms:

lim (n -> infinity) | (a_(n+1)/a_n) | = lim (n -> infinity) | (x^(n+2) * (n+1))/((n+2) * x^(n+1)) |

This simplifies to:

lim (n -> infinity) | x * (n+1)/(n+2) |

To converge, the limit must be less than 1:

|x * (n+1)/(n+2)| < 1

As n approaches infinity, the expression becomes |x|, so:

|x| < 1

Thus, the radius of convergence for the series is 1.

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95% confidence interval for mean sodium content based on a random sample of chicken wraps was (929,1243). a. What is the sample mean? Hint: The sample statistic, in this case a sample mean, is always at the center of the interval. b. What is the margin of error? Hint: What was added to and subtracted from the sample mean to produce the confidence interval? c. If you took 1400 samples and constructed 1400 95% confidence intervals approximately how many of the 1400 confidence intervals would you expect to contain the true mean? Hint: What percent of 95% confidence intervals do you expect to be "good", "good" meaning that the sample statistic will be within the margin of error and therefore the confidence interval will contain the true value.

Answers

a. The sample mean of the confidence interval is 1086. b. The margin of error is of the confidence interval is 157. c. Out of 1400 confidence intervals, we can expect approximately 1330 to contain the true mean.

a. To find the sample mean, you need to calculate the center of the confidence interval (929, 1243). To do this, add the lower limit and the upper limit, and then divide by 2:
(929 + 1243) / 2 = 2172 / 2 = 1086.
So, the sample mean for the sodium content is 1086 mg.

b. To find the margin of error, subtract the lower limit from the sample mean:
1086 - 929 = 157.
The margin of error is 157 mg.

c. Since you are working with a 95% confidence interval, you would expect 95% of the 1400 confidence intervals to contain the true mean. To calculate the approximate number of good intervals, multiply the total number of samples (1400) by 0.95:
1400 * 0.95 = 1330.
Therefore, you would expect approximately 1330 of the 1400 confidence intervals to contain the true mean.

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customers of a phone company can choose between two service plans for long distance calls. the first plan has a $21 monthly fee and charges an additional $0.09 for each minute of calls. the second plan has no monthly fee but charges $0.14 for each minute of calls. for how many minutes of calls will the costs of the two plans be equal?

Answers

For 420 minutes of calls will the costs of the two plans be equal.

We have,

The first plan has a $21 monthly fee and charges an additional $0.09 for each minute of calls.

The second plan has no monthly fee but charges $0.14 for each minutes.

So, the equation can be set as

0.14x = 0.09x +21

where x be the number of minutes.

0.14x - 0.09x = 21

0.05x = 21

x = 420 minutes

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The scores and their percent of the final grade for a statistics student are given. What is the student's weighted mean score? Score Percent of final grade Homework 85 10 Quiz 87 10 Quiz 97 10 Project 95 40 Final Exam 86 30 The student's weighted mean score is squarebox. (Simplify your answer Round to two decimal places as needed.)

Answers

The weighted mean score is:

90.7 / 100% = 0.907 or 90.7%

Rounding to two decimal places, the student's weighted mean score is 90.70%.

To calculate the weighted mean score, we need to multiply each score by its corresponding percent of the final grade, then sum these products, and finally divide by the total percent of the final grade.

In this case, we have:

Homework score: 85, percent of final grade: 10%

First quiz score: 87, percent of final grade: 10%

Second quiz score: 97, percent of final grade: 10%

Project score: 95, percent of final grade: 40%

Final exam score: 86, percent of final grade: 30%

To calculate the weighted mean score, we first need to calculate the products of the score and the percent of the final grade for each component:

Homework contribution to the final grade: 85 x 0.1 = 8.5

First quiz contribution to the final grade: 87 x 0.1 = 8.7

Second quiz contribution to the final grade: 97 x 0.1 = 9.7

Project contribution to the final grade: 95 x 0.4 = 38

Final exam contribution to the final grade: 86 x 0.3 = 25.8

Next, we sum these products:

8.5 + 8.7 + 9.7 + 38 + 25.8 = 90.7

Finally, we divide by the total percent of the final grade:

10% + 10% + 10% + 40% + 30% = 100%

So, the weighted mean score is:

90.7 / 100% = 0.907 or 90.7%

Rounding to two decimal places, the student's weighted mean score is 90.70%.

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42 inches divided by wht give me 3 ft and 6 inch

Answers

42 inches divided by 1 gives the measurement 3 feet and 6 inches.

We have to find what number divides the number 42 inches to 3 feet and 6 inches.

We know that the conversion of measurement units,

1 foot = 12 inches

3 feet = 3 × 12 inches = 36 inches

3 feet 6 inch = 36 + 6 = 42 inches

So the required number divides 42 inches in to 42 inches itself.

Any number divided by 1 gives the same number.

So the required number is 1.

Hence the unknown number which divide 42 inches to 3 feet and 6 inches is 1.

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Question 18 (1 point) ✓ Saved We want to know if Brenda's IQ is significantly different from the rest of her psychology class. Which test would be use? a) one sample t-test b) one sample z-test c) independent samples t-test d) dependent samples t-test ✓ Saved

Answers

The appropriate test to determine if Brenda's IQ is significantly different from the rest of her psychology class would be the one sample t-test.

To determine if Brenda's IQ is significantly different from the rest of her psychology class, you would use a one-sample t-test.

This test is appropriate because it compares the mean of a single sample (Brenda's IQ) to a known population mean (the rest of the class) when the population standard deviation is unknown. The one-sample t-test helps determine if there is a significant difference between the individual and the group.

The other options, such as the one sample z-test and the independent and dependent samples t-tests, are used for different types of comparisons and would not be appropriate in this scenario.

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3. Patricia needs to have $30,000 for her daughter's college tuition that is due in exactly 2 years. How much
should Patricia invest in an account paying 6% interest, compounded semi-annually, so that she will have the
necessary funds?

$23,098.42
$25, 437.92
$26, 654.70
$24,398.10

Answers

If Patricia needs to have $30,000 for her daughter's college tuition that is due in exactly 2 years, she should invest C. $26, 654.70 (present value) in an account paying 6% interest compounded semi-annually.

How the present value is computed:

The present value describes the current investment needed to earn a future value.

The present value can be determined using the PV formula or an online finance calculator.

N (# of periods) = 4 semi-annual periods (2 years x 2)

I/Y (Interest per year) = 6%

PMT (Periodic Payment) = $0

FV (Future Value) = $30,000

Results:

Present Value (PV) = $26,654.70

Total Interest = $3,345.30

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DUE YESTERDAY! BRAINLIST
WORTH 10 MARKS!

Answers

Answer:

Step-by-step explanation:

40 points ! please help! Draw a right triangle with a tangent ratio of 3/2 for one of the acute angles.
Then find the measure of the other acute angle to the nearest tenth of a degree.

Answers

Answer:

To draw a right triangle with a tangent ratio of 3/2 for one of the acute angles, we can choose any angle whose tangent is 3/2. Let's choose the angle θ.

We know that:

tangent ratio = opposite side / adjacent side

So, we can assign any value we want to the adjacent side, and then calculate the opposite side. Let's say the adjacent side is 2 units. Then, the opposite side would be:

opposite side = tangent ratio * adjacent side = (3/2) * 2 = 3

So, the sides of the triangle are:

adjacent side = 2

opposite side = 3

hypotenuse = √(2^2 + 3^2) = √13

We can now use trigonometry to find the measure of the other acute angle. The tangent of an angle is equal to the opposite side over the adjacent side, so we have:

tan(θ) = opposite side / adjacent side

tan(θ) = 3/2

Taking the inverse tangent of both sides, we get:

θ = tan^(-1)(3/2)

θ ≈ 56.3°

So, the other acute angle of the right triangle is approximately 56.3 degrees.

kathy and tami are at point A

Answers

The value of MAS to the nearest degree, given the radius of the circle, is 103 degrees.

How to find the MAS?

Angle MAS can be found by the formula for calculating arc length which is:

L = ( n π r ) / 180

Further solving will give us:

n π r = 197 x 180 = 3, 546

n = 3, 546 / π r

n = 3, 546 / ( 3.14 x 110 )

n = 103 degrees

In conclusion, angle mAS can be found to be 103 degrees.

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You have
$
15.00
$15.00​​ and you need to make copies of a flyer at a store that charges
$
0.40
$0.40​​ per copy. Find the inequality that represents the number of copies you can make. Use

x​ as the variable.


What is the maximum number of copies you can afford to make?

Answers

Answer:

.40x < 15

x < 37.5 copies

The maximum number of copies is 37.

37 × $.40 = $14.80

PLS HELP ASAP 100 POINTS
Find the measure of ∠YOZ by answering the questions.
1. Find the measure of ∠WOV. Which angle relationship did you use? (3 points)
2. Now find the measure of ∠YOZ. Which angle relationship did you use?
3. Check your answer by using another strategy to find the measure of ∠YOZ. Describe your strategy, and show that it gives the same measure for ∠YOZ. (4 points)

Answers

The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)

How to explain the angle

The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles

Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°

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Area of Parking lot

Answers

Answer:

as the dimensions or shape of the parking lot.

15 and 16

Step-by-step explanation:

True or false? -- A single, extremely large value can affect the median more than the mean. - Your answer: False True An extremely high or extremely low data value is called a(n)

Answers

The statement "A single, extremely large value can affect the median more than the mean" is True.

The median is the middle value when the data is arranged in ascending or descending order, and it is less affected by extreme values because it only considers the position of the value, not its actual magnitude.

On the other hand, the mean (average) takes into account the values themselves and can be heavily influenced by outliers. An extremely high or extremely low data value is called an outlier.

Outliers can skew the mean, pulling it towards their extreme value, while the median remains relatively unaffected. So the statement is True.

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need help on this question asap!!

Answers

The measure of angle B in the given triangle is 56°

Calculating the measure of an angle in a triangle

From the question, we are to determine the measure of the unknown angle

From the given information,

We have a right triangle and the measure of one of the angles is 34°

The right triangle is ΔABC, and we are to determine the measure of angle B

m ∠A + m ∠B + m ∠C = 180° (Sum of angles in a straight line)

90° + m ∠B + 34° = 180°

m ∠B + 124° = 180°

m ∠B = 180° - 124°

m ∠B = 56°

Hence, the measure of angle B is 56°

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Mr. Tukey's class is taking a field trip on a bus. While traveling, students count the number of cars with out-of-state license plates. The students' data are given. Use the data to make a cumulative frequency table.
10, 30, 25, 31, 17, 25, 36, 20, 34, 14, 35, 24, 22, 19, 37

Answers

Answer:

The graph shown is the answer

Step-by-step explanation:

It says why and how its the answer

H(n)=−10+12nh, left parenthesis, n, right parenthesis, equals, minus, 10, plus, 12, n

Complete the recursive formula of

h

(

n

)

h(n)h, left parenthesis, n, right parenthesis.

h

(

1

)

=

h(1)=h, left parenthesis, 1, right parenthesis, equals


h

(

n

)

=

h

(

n



1

)

+

h(n)=h(n−1)+h, left parenthesis, n, right parenthesis, equals, h, left parenthesis, n, minus, 1, right parenthesis, plus

Answers

So, the recursive formula for H(n) is:

H(1) = 2

H(n) = H(n-1) + 12

A recursive formula is one that defines each term in a series by reference to the phrase(s) that came before it. The first term, or firsts, in the series must always be stated in recursive formulae. A recursive algorithm is one that uses "smaller (or simpler)" input values to call itself and gets the result for the current input by performing straightforward operations on the value that was returned for the smaller (or simpler) input.  

And the Fibonacci sequence is the most well-known recursive formula. The following is the Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21,… Keep in mind that each number in the series is the product of the two numbers before it. For instance, the total of the two terms before it, 5 and 8, is 13.

Recursive formula for H(n), we need to find the first term and the common difference.

H(1) = -10 + 12(1) = 2

H(2) = -10 + 12(2) = 14

The common difference between H(1) and H(2) is 14 - 2 = 12.

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Correct Question:

H(n) = -10 + 12n

Complete the recursive formula of h(n).

h(1) =

h(n) = h(n-1)+

Suppose the scores on a Algebra 2 quiz are normally distributed with a mean of 79 and a standard deviation of 3. Which group describes 16% of the population of Algebra 2 quiz scores?

Answers

The group described by 16% of the population is 73.

What is the group describes 16% of the population?

For a normal distribution curve, the population are often divided into 2% below the mean, 14 % below the mean, 34% below the mean, the mean, 34% above the mean, 16% above the mean and 2 % above the mean.

for 34% below the mean, the population = M - 1std

for 16% below the mean, the population = M - 2std

So the population represented by 16% is calculated as follows;

= M - 2std

where;

M is the meanstd is standard deviation

= 79 - 2 (3)

= 79 - 6

= 73

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Madelyn has a points card for a movie theater.
She receives 70 rewards points just for signing up.
She earns 4.5 points for each visit to the movie theater.
She needs 115 points for a free movie ticket.

How many visits must Madelyn make to earn a free movie ticket?

Answers

The number of visits that Madelyn needs to make to the movie theater to earn a free movie ticket would be= 10.

How to calculate the number of visits needed by Madelyn?

The number of points that Madelyn received for just signing up with the movie theater = 70 points.

The number of points she earns for each visit = 4.5 points

The total number of points the she needs = 115 points.

Let the total visit she requires = n

That is;

70+4.5n = 115

4.5n = 115-70

4.5n = 40

n = 10

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HELP ME ASAP PLS I NEED IT FOR A TEST

Answers

Answer: 250 square centimeters

Step-by-step explanation:

Height (h) = 10 cm

Length (l) = 5 cm

Width (w) = 5 cm

Plugging in these values into the formula, we get:

SA = 2(5)(5) + 2(5)(10) + 2(5)(10)

SA = 50 + 100 + 100

SA = 250

So, the surface area of the rectangular prism is 250 square centimeters (cm^2).

assume the following: a total tax cut was $93 billion, government spending was $99 billion, and as a result there was $16 billion less investment due to crowding out. the mpc is 0.8. identify the maximum change in gdp as a result of the new policies. enter you answer rounded or truncated to two decimals.

Answers

The  maximum change in GDP resulting from the given policies is a decrease of $545 billion.

To determine the maximum change in GDP resulting from the given policies, we can use the following formula:

ΔGDP = (ΔSpending + ΔInvestment) / (1 - MPC)

where ΔSpending is the change in government spending and ΔInvestment is the change in investment.

In this case, we have:

ΔSpending = -$93 billion (since it is a tax cut)
ΔInvestment = -$16 billion
MPC = 0.8

Substituting these values into the formula, we get:

ΔGDP = (-$93 billion + (-$16 billion)) / (1 - 0.8) = -$109 billion / 0.2 = -$545 billion

Therefore, the maximum change in GDP resulting from the given policies is a decrease of $545 billion.

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A.2 A paper reported on a study to test if tires on city buses in a particular city were filled to the appropriate pressure which was determined to be 70psi. Based on a sample of n = 20 bus tires, the paper reported a sample mean of x = 62psi and a two-tailed test p-value of 0.043. Let μ be the true mean tire pressure for the population of tires on city buses in this city. Which of the following is a valid conclusion from the test using a significance level of 5%? A: There is evidence that μ < 70. B: There is evidence that μ = 70. C: There is evidence that μ ≠ 70. D: The probability that μ = 70 is 0.043. E: There is not enough evidence to conclude that u ≠ 70.

Answers

Option E is incorrect because we have enough evidence to reject the null hypothesis.

The correct answer is (C) There is evidence that μ ≠ 70.

The null hypothesis is that the true mean tire pressure for the population of tires on city buses in this city is equal to 70psi, i.e., H0: μ = 70. The alternative hypothesis is that it is not equal to 70psi, i.e., Ha: μ ≠ 70.

The p-value of 0.043 is less than the significance level of 0.05. Therefore, we reject the null hypothesis and conclude that there is evidence that the true mean tire pressure is not equal to 70psi.

Option A is incorrect because we cannot conclude that the true mean tire pressure is less than 70psi. Option B is incorrect because we cannot conclude that the true mean tire pressure is equal to 70psi. Option D is incorrect because the p-value is not the probability that μ = 70. Option E is incorrect because we have enough evidence to reject the null hypothesis.

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Drag the tiles to fill in the values ​

Answers

The data values that complete the the table of values are 15, 16 and 17

Filling the values that complete the the table of values

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

The histogram

From the histogram, we can see that

Range of the dataset is 10 to 20

This means that we can complete the table of values with any data value within this range

Examples of the data values to use are 15, 16 and 17 (we can use other values too, and the values do not need to be sequential)

Hence, the data values that complete the the table of values are 15, 16 and 17

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Verify that the set {-696,–36, -19,3,7, 12, 99} is a complete system of residues modulo 7.

Answers

To verify if the set {-696, -36, -19, 3, 7, 12, 99} is a complete system of residues modulo 7, we need to check if all residue classes modulo 7 are represented by elements in the set.


The residue classes modulo 7 are {0, 1, 2, 3, 4, 5, 6}. To check if the given set is a complete system of residues modulo 7, we need to check if each residue class is represented by at least one element in the set.
- 0: None of the elements in the set is divisible by 7, so none of them leave a residue of 0 when divided by 7.
- 1: 12 and -696 leave a residue of 1 when divided by 7.
- 2: -36 leaves a residue of 2 when divided by 7.
- 3: 99 and -19 leave a residue of 3 when divided by 7.
- 4: None of the elements in the set leave a residue of 4 when divided by 7.
- 5: 7 leaves a residue of 5 when divided by 7.
- 6: 3 leaves a residue of 6 when divided by 7.
Since every residue class modulo 7 is represented by at least one element in the set, we can conclude that the set {-696, -36, -19, 3, 7, 12, 99} is a complete system of residues modulo 7.

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