A social psychologist wants to assess whether there are geographical differences in how much people complain. The investigator gets a sample of 20 people who live in the Northeast and 20 people who live on the West Coast and asks them to estimate how many times they have complained in the past month. The mean estimated number of complaints from people living on the West Coast was 9.5, with a standard deviation of 2.8. The mean estimated number of complaints that people in the Northeast reported making was 15.5, with a standard deviation of 3.8. What can the researcher conclude? Use alpha of .05.

Answer:

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Given system:

Equate the right sides to get a quadratic equation:

The discriminant of ax² + bx + c = 0 is D = b² - 4ac.

Substitute a = 1, b = 3, c = 8 and find the value of D:

Since D < 0, there is no real solution, hence the correct choice is A.

Answer:

3 because that is where it meets the y axis

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

The y-intercept of a graph is basically, where the equation intercepts the y axis.

All three options involve conducting a survey using random sampling, which is the most appropriate method for creating an estimate of the percentage of district residents who support the building of a new middle school. The correct answer would be A, B, or C, depending on the availability of resources.

The most appropriate method for creating an estimate of the percentage of district residents who support the building of a new middle school would likely be a survey using random sampling.

Random sampling is a statistical method in which a representative sample of a larger population is selected, in order to make inferences about the population as a whole. When conducting a survey, random sampling helps to ensure that the sample is representative of the population, reducing the potential for bias.

There are several different types of surveys that could be used to estimate the level of support for a new middle school, including telephone surveys, online surveys, and in-person surveys.

Complete question:

The superintendent of a large school district wants to estimate the percentage of district residents who support the building of a new middle school. To gather data, the superintendent will select a random sample of district residents. What is the most appropriate method for the superintendent to estimate the percentage of district residents who support the building of a new middle school?

A. Telephone survey using random sampling

B. Online survey using random sampling

C. In-person survey using random sampling

D. Observing the behavior of district residents

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The given statement "A successful proof can indeed turn a conditional statement into a theorem.'' is true because a successful proof can transform a conditional statement into a theorem by providing a logical and rigorous demonstration of its truth based on the given hypothesis.

In mathematics, a conditional statement is a proposition that asserts a relationship between two or more mathematical objects or concepts. It consists of a hypothesis and a conclusion.

A conditional statement is typically expressed in the form "If A, then B," where A represents the hypothesis and B represents the conclusion.

To establish a conditional statement as a theorem, one needs to provide a valid proof that demonstrates the truth of the statement. A proof is a logical argument that follows a series of logical deductions from axioms, definitions, and previously established theorems.

When a proof is successfully constructed for a conditional statement, it provides rigorous justification for the truth of the conclusion based on the given hypothesis.

By demonstrating the logical validity and coherence of the argument, the proof confirms the truth of the conditional statement and establishes it as a theorem.

The process of proving a conditional statement involves carefully reasoning through logical steps, utilizing mathematical principles and logical inference rules.

It requires precise and accurate reasoning, ensuring that each step in the proof is valid and consistent with the underlying mathematical framework.

Once a conditional statement has been proven, it is elevated to the status of a theorem. Theorems are fundamental results in mathematics that have been rigorously proven and hold true within a given mathematical system.

They serve as building blocks for further mathematical investigations and form the foundation of mathematical knowledge.

In summary, a successful proof can transform a conditional statement into a theorem by providing a logical and rigorous demonstration of its truth based on the given hypothesis.

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answer: -28x^5

exlaningtion:I used my brain dhdhdishdhdhdhdhdh

The point estimate for this population proportion is 30/200, which equals 0.15 or 15%.

The point estimate for the population proportion of non-business related e-mails among GFS, Inc. employees is 0.15 (or 15%, calculated as 30/200). This is based on the random sample of 200 e-mails studied by Elwin Osbourne, the CIO at GFS, Inc., who is investigating employee use of company e-mail for non-business communications.
Elwin Osborne, CIO at GFS, Inc., conducted a study on employee use of GFS e-mail for non-business communications. He took a random sample of 200 e-mail messages, and found that 30 of them were not business-related. The point estimate for this population proportion is calculated by dividing the number of non-business emails (30) by the total number of emails in the sample (200). Your answer: The point estimate for this population proportion is 30/200, which equals 0.15 or 15%.

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Answer:

5.83

Step-by-step explanation:

Find the mean:

10(.1) + 15(.2) + 20(.2) + 25(.4) + 3-).1)

u = 21

Find the standard deviation:

\(\sqrt{(10 -21)x^{2} (.1) + (15 -21)x^{2} (.2)+(20-21)x^{2} (.2)+(25-21)x^{2} (.4)+(30-21)x^{2} (.1)}\)= 5.83

The standard deviation is of 5.83.

The expected value is given by each value multiplied by it's relative frequency, thus:

\(E(X) = 0.1(10) + 0.2(15) + 0.2(20) + 0.4(25) + 0.1(30) = 21\)

The standard deviation is given by the square root of the sum of the difference squared of each value and the mean, multiplied by it's relative frequency.

Then:

\(\sqrt{V(X)} = \sqrt{0.1(10 - 21)^2 + 0.2(15 - 21)^2 + 0.2(20 - 21)^2 + 0.4(25 - 21)^2 + 0.1(30 - 21)^2} = 5.83\)

The standard deviation is of 5.83.

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Answer:

$30 per hour

Step-by-step explanation:

120/4=30

Answer:

Step-by-step explanation:

A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.

≧◉◡◉≦

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the formula for the rate of change

STEP 2: Write the given intervals

STEP 3: Find the average rate of change of f(x)

We substitute the coordinates into the rate of change formula:

STEP 4: Find the rate of change of g(x)

STEP 5: Find the rate of change of h(x)

STEP 6: Write the average rates of change for the functions

The average rates of change in ascending order will be -8,-3,-1

Hence, the arrangement of the functions according to their ascending order of average rates of changes are:

Answer:  So to cover the patio it would take 255 whole tiles.  254.469 if you want to be exact.

Step-by-step explanation:

When finding flooring needed we are finding for area.  We know the formula for finding the area of a circle is A=\(\pi r^{2}\) so we plug in our known variables...

we know r because radius is half of diameter and diameter was given in problem.  So half of 18 is 9.

r=9

A=\(\pi 9^{2}\)

A=\(\pi\)81

A=254.469

Answer:

15

Step-by-step explanation:

Use the Pytago theorem.

AB^2=AC^2+BC^2

AB^2= 9^2 + 12^2

= 225

AB = \(\sqrt225}\)

= 15

The lowest point should be used for measurement. To acquire a correct reading, students must read the meniscus at eye level. In order to read the meniscus at eye level, students need first set the graduated cylinder on the table and then stoop.

A measuring cylinder, often referred to as a graded cylinder, a cylinder measuring cylinder, or a mixing cylinder, is a piece of lab apparatus used to gauge the quantity of fluids, chemicals, or solutions used during a typical lab session. Compared to common laboratory flasks and beakers, graduated cylinders offer higher precision and accuracy. The graduated cylinder is a scientific tool that employs the metric system rather than the American standard system, so measurements are made in millilitres rather than ounces. The volume of an object or quantity of liquid is measured using a graduated cylinder, a common piece of laboratory glassware. It is a glass cylinder with side markings resembling those on a measuring cup, as its name suggests.

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Answer:

$45

Step-by-step explanation:

If it looses it value of 14 % every year, by the end of 5 years, the value would go down by 70%.  So, 150x0.7= 105, 150-105=45, so it would be. worth. 45% in 5 years.

Answer:

Step-by-step explanation:

(f ° g)(18) is another way of writing f(g(18)) which is telling you to evaluate function g at an x value of 18, then take that answer and plug it in for x in the function. Like this:

g(18) = 18 - 9 so

g(18) = 9. Now take that 9 and plug it into the f function in place of x:

f(9) = -8(9) + 8 and

f(9) = -72 + 8 so

f(9) = -64

Any quadratic function whose leading coefficient is greater than 1 is narrower than \(h(x) = x^2\).

The function \(h(x) = x^2\) belongs to the family \(y = a\cdot x^{2}\), where \(a\) is a real coefficient. The greater the \(a\), the narrower the graph. Hence, any function whose leading coefficient is greater than \(a\) presents a narrower form, that is, \(y\) shows greater values for a given value of \(x\).

Any quadratic function whose leading coefficient is greater than 1 is narrower than \(h(x) = x^2\). \(\blacksquare\)

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Diana has made $375 this week by tutoring for a total of 15 hours.

Diana, the Spanish tutor, charges her students $25 per hour for her tutoring services. If she spent 15 hours tutoring this week, we can calculate the amount of money she has made by multiplying her hourly rate by the number of hours she worked.

To calculate the total earnings, we multiply the hourly rate of $25 by the number of hours worked, which is 15.

$25/hour * 15 hours = $375

Therefore, Diana has made $375 this week by tutoring for a total of 15 hours. This calculation assumes that Diana charges a fixed rate of $25 per hour for all her students and does not account for any additional fees or discounts that she may offer.

It's worth noting that this calculation represents Diana's gross earnings, which is the total amount of money she has made before any deductions such as taxes or business expenses.

The net earnings or take-home pay would be different after accounting for such deductions.

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Answer:

Gain= $93.01

ROI= 212.59%

Step-by-step explanation:

Given data

Cost of apple share in 2018 = $43.75

Sale price of apple share= $136.76

1. Her gain is

Gain= Sales price- Cost price

Gain = 136.76-43.75

Gain= $93.01

2. ROI is

ROI= Gain/cost*100

ROI= 93.01/43.75*100

ROI=2.1259*100

ROI= 212.59%

There is a 50% chance that both students are upperclassmen.

Given: Two students meet at a library, where at least one of them is an upperclassman who is currently taking EECS 126, assume each student is an upperclassman and underclassmen with equal probability and each student takes 126 with probability 1/10, independent of each other and independent of their class standing. To find: Probability that both students are upperclassmen.

Solution: Let P(A) be the probability that a student is an upperclassman, and P(B) be the probability that a student is taking EECS 126.P(A) = 1/2 (Given, Assume each student is an upperclassman and underclassmen with equal probability) P(B) = 1/10 (Given, each student takes 126 with probability 1/10, independent of each other and independent of their class standing) Let C be the event that both students are upperclassmen. Then, P(C) = Probability that both students are upperclassmen P(C') = Probability that one student is an underclassman or both are underclassmen P(C') = P(Ac) ...(i) P(C') = 1 - P(C) ...(ii) P(Ac) = P(underclassman) = 1/2 (Given, Assume each student is an upperclassman and underclassmen with equal probability)

Now, P(C') = P(Ac) = 1/2 ...from (i) P(C) = 1 - P(C') = 1 - 1/2 = 1/2 Also, P(B) and P(A) are independent events as given in the question, So, P(AB) = P(A)P(B) = (1/2) x (1/10) = 1/20 Hence, the probability that both students are upperclassmen is P(AB) = 1/20.In other words, there is a 50% chance that both students are upperclassmen.

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Answer:

1

intercepts on the y line

A drip rate is the amount of fluid that is being infused into the body of a patient per minute.

The drip rate per minute is 31 drops per minute.

This is usually indicated in drops per minute. In this problem, we have been given the following details:

Volume = 1 liter (1000 cc)

Time = 8 hours (480 minutes)

Drop factor = 15 gtt/cc

We need to determine the drip rate per minute.

Here's how we can calculate it:

Step 1: Find the total number of drops needed for 1 liter of D5LR. We know that 1 cc of the solution has 15 drops. Therefore, 1 liter (1000 cc) will have: 15 drops/cc x 1000 cc = 15,000 drops

Step 2: Determine the drip rate per minute. To infuse 15,000 drops in 8 hours (480 minutes),

we need: 15,000 drops / 480 minutes = 31.25 drops/minute (rounded off to the nearest whole number)

Therefore, the drip rate per minute is 31 drops per minute.

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We define the variables:

• x = time spent texting (in hours),

• y_O = observed time spent exercising (in hours),

• y_P = predicted time spent exercising (in hours).

• r = residual (in hours) = y_O - y_P.

From the statement, we have the following equation for the line of best fit:

1) For x = 4.0 we have:

• y_O = 4.50 (from the table),

• y_P = 5.36 (by using the formula),

• r = 4.50 - 5.36 = 0.86.

2) For x = 5.0 we have:

• y_O = 6.50 (from the table),

• y_P = 4.96 (by using the formula),

• r = 6.50 - 4.96 = 1.54.

1) For x = 4.0 we have: y_O = 4.50, y_P = 5.36, r = -0.86

2) For x = 5.0 we have: y_O = 6.50, y_P = 4.96, r = 1.54

The volume of the half-sphere is V = 5744.1 cubic units.

The volume of a sphere of radius R is:

V = (4/3)*pi*R³

Where pi = 3.14

Here we have half a sphere, so the volume will be 1/2 of the above expression, and the radius is, so R = 14 units, then the volume of the half-sphere will be:

V = (1/2)*(4/3)*3.14*(14)³ = 5744.1 cubic units.

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Answer:Thanks!

Step-by-step explanation:

Answer: thx

Step-by-step explanation:

An Experiment is repeated 10 times compared to just 3 times, the results from the 10 repetitions would generally be considered more reliable.

True.

In general, conducting an experiment multiple times increases the reliability of the results. The more times an experiment is repeated, the greater the opportunity to collect data and observe patterns or trends. This allows for a more robust analysis and reduces the impact of random variations or errors that may occur in a single trial.

When an experiment is repeated multiple times, it helps to reduce the effects of outliers or anomalies that may occur in a single trial. By averaging the results over multiple repetitions, the overall outcome tends to be more representative and reliable.

In the context of statistical analysis, increasing the sample size (number of repetitions) can lead to more precise estimates of parameters and reduce the margin of error. It provides a better understanding of the underlying phenomenon being studied and allows for more confident conclusions.

Therefore, if an experiment is repeated 10 times compared to just 3 times, the results from the 10 repetitions would generally be considered more reliable. The larger sample size provides a stronger basis for drawing conclusions and making inferences about the population or phenomenon under study.

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To calculate the 90% confidence interval for the average EPS of all industrials listed on the DJIA, we will use the formula:

Confidence interval = sample mean ± (critical value * standard deviation / √sample size)

Step 1: Find the critical value.
Since we want a 90% confidence interval, the corresponding critical value can be obtained from the z-table. The critical value for a 90% confidence level is 1.645.

Step 2: Calculate the margin of error.
The margin of error is given by (critical value * standard deviation / √sample size).
Substituting the values, we get: 1.645 * 0.395 / √9 = 0.29175.

Step 3: Calculate the confidence interval.
The confidence interval is given by the sample mean ± margin of error.
Substituting the values, we get: 1.85 ± 0.29175.

The 90% confidence interval for the average EPS of all industrials listed on the DJIA is (1.55825, 2.14175).

We can be 90% confident that the true average EPS of all industrials listed on the DJIA falls within the range of 1.55825 to 2.14175.

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Answer:

Here is the solution solution-

(-15x+6y)-(-10x+7y)

= -15x+6y+10x-7y

= (-15x+10x)+(6y-7y)

= -5x-y

Answer:

1 1/4 miles

Step-by-step explanation:

Multiply 1/4 by 5 as you have to make the 1/5 of an hour into a whole hour. That would be 1 1/4 miles in an hour