A professor divided the students in her business class into three groups: those who have never taken a statistics class, those who have taken only one semester of a statistics class, and those who have taken two or more semesters of statistics. The professor randomly assigns students to groups of three to work on a project for the course. 65% of the students have never taken a statistics class, 15% have taken only one semester of a statistics class, and the rest have taken two or more semesters of statistics. Round your answers to three decimal places.
a. What is the probability that the first groupmate you meet has studied at least two semesters of statistics?
b. What is the probability that the first groupmate you meet has studied some statistics?
c. What is the probability that neither of your two groupmates has studied any statistics?
d. What is the probability that your two groupmates have studied at least one semester of statistics?
e. What is the probability that at least one of your two groupmates has studied more than one semester of statistics?

According to Dr. Aguilera's findings, excessive levels of anxiety are associated with poor academic performance. Sleep duration, on the other hand, is unrelated to excellent or poor academic performance.

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Answer:

The answer is 60 dollars, that's what I got

Answer:

The points where E' and F' are located after dilation and how the lines g and g' are related are;

The locations E' and F' are E'(-8, 0) and F'(0, 4), and lines g and g' are parallel

Please see attached plot of lines g and g' created with MS Excel

Step-by-step explanation:

When an object is dilated by a scale factor, the length of the sides of the image formed is given as follows;

The length of the image = The length of the figure × The scale factor

The given parameters are;

The center of dilation = (0, 0) Dilated from the origin

The coordinates of the endpoint of the line 'g' = E(-4, 0), F(0, 2)

Therefore, we have;

The 'x', and 'y' coordinates of the point E' on the image from the center of dilation  (0, 0) = (-4 × 2, 0 × 2) = (-8, 0)

The 'x', and 'y' coordinates of the point F' on the image from the center of dilation  (0, 0) = (0 × 2, 2 × 2) = (0, 4)

Therefore, the coordinates of the point E' and F' on line g' = E'(-8, 0) and F'(0, 4)

Given that the proportion of the distances of E and E' to center of dilation (to the origin) and F and F' center of dilation are equal by the triangle proportionality theorem, EF is parallel to E'F' and the lines g and g' are said to be parallel

Therefore;

The coordinate of point E' = (-8, 0) and The coordinate of point F' = (0, 4)

Ling g is parallel to line g'

Answer:

The locations of E' and F' are E' (−8, 0) and F' (0, 4), and lines g and g' are parallel.

Step-by-step explanation:

Now give the other guy the brainliest. xoxo

The graph will consist of two diagonal lines: one representing Mary's initial walk, turnaround, and return to the classroom, and the other representing her run to lunch with a gradual decrease in speed as she approaches the cafeteria.

To sketch a distance vs. time graph based on the given description, we'll represent the time on the x-axis and the distance on the y-axis.

A. Mary left her classroom and walked at a steady pace to head to lunch:

In this portion, Mary is walking at a steady pace, indicating a constant speed. We can represent this as a straight, diagonal line on the graph, starting from the initial distance (0) and increasing gradually over time until she reaches halfway to the lunch area.

B. Halfway there, Mary stopped to look through her bag for her phone but couldn't find it:

At the halfway point, Mary stops to search her bag. Since she is stationary during this time, the graph will show a horizontal line at the same distance she reached before stopping. This horizontal line represents the time Mary spends searching her bag.

C. Mary turned around to quickly return to her classroom to get her phone that she left at her desk:

After realizing her phone is in the classroom, Mary turns around to go back. This is represented by a straight, diagonal line on the graph, but in the opposite direction. The distance decreases as she retraces her steps until she reaches the classroom.

D. Mary then ran all the way to lunch, gradually decreasing her speed as she neared the cafeteria:

Once Mary retrieves her phone, she runs all the way to lunch. Initially, the graph will show a steeper diagonal line, indicating an increase in distance covered over time. However, as she approaches the cafeteria, her speed gradually decreases. This is represented by a shallower diagonal line on the graph, showing a slower increase in distance over time.

Overall, the graph will consist of two diagonal lines: one representing Mary's initial walk, turnaround, and return to the classroom, and the other representing her run to lunch with a gradual decrease in speed as she approaches the cafeteria. The horizontal line in the middle represents the time Mary spends searching her bag.

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Answer: I would say 68 i believe this because if i do remember correctly you have to make it equal 192 and 68 did that.

Step-by-step explanation: Sorry if im wrong.

Self-confidence is an attitude about your skills and abilities. It means you accept and trust yourself and have a sense of control in your life. You know your strengths and weakness well, and have a positive view of yourself. You set realistic expectations and goals, communicate assertive

Answer:

79.7°

Step-by-step explanation:

You hava to do this =

\(180-100.3=79.7\)

Answer:

79.7°

Step-by-step explanation:

Supplementary angles add up to 180°

100.3 + x = 180

Subtract 100.3 from both sides

x = 79.7°

Answer:

a.

Step-by-step explanation:

Answer:

b. c. d

Step-by-step explanation:

Answer:

Some teens are at greater risk than others.

For example, youth who are victims of teen dating violence are more likely to experience symptoms of depression and anxiety. Engage in unhealthy behaviors, like using tobacco, drugs, and alcohol. Exhibit antisocial behaviors, like lying, theft, bullying, or hitting.

Step-by-step explanation:

Yes  all 3 you choose are correct

Answer:

17 because 2 is taken from 18 and 18-2=16 but 17 and 17 is close to 16

Thus, the general solution of the given differential equation `2y′ y = 5t²` is `y = Ke^(5t³/6)` where `K` is a constant of integration.

The general solution of the given differential equation `2y′ y = 5t²` and using it to determine how solutions behave as t is discussed below:Solving the differential equation:

Separating the variables of the differential equation `2y′ y = 5t²` we get:dy/y = (5/2)t² dtIntegrating both sides, we have:ln|y| = (5/6) t³ + C1

Taking the exponential of both sides, we get:y = Ke^(5t³/6) , where K = ± e^(C1) is a constant of integration.

The general solution of the given differential equation is given by `y = Ke^(5t³/6)` where `K` is a constant of integration.

How solutions behave as `t`:When `t → ∞` (i.e., as t grows large), `e^(5t³/6) → ∞`. So solutions of the given differential equation `y′ y = 5t²` grow exponentially as `t → ∞`.

When `t → -∞` (i.e., as t gets very negative), `e^(5t³/6) → 0`. So solutions of the given differential equation `y′ y = 5t²` approach `y = 0` as `t → -∞`.

Thus, the general solution of the given differential equation `2y′ y = 5t²` is `y = Ke^(5t³/6)` where `K` is a constant of integration.

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In general, observational studies are more problematic than randomized controlled trials because they can produce spurious relationships.

Observational studies rely on the natural variation in exposures and outcomes that occur in the population, without any intervention or manipulation by the researcher.

This can lead to confounding variables, which are factors that are associated with both the exposure and the outcome and can produce a false association between them.

Randomized controlled trials, on the other hand, assign participants to different exposure groups at random, which reduces the risk of confounding and allows for a more accurate assessment of causality.

Therefore, researchers must be cautious when interpreting observational studies and consider the potential for spurious relationships.

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No, the F-test statistic cannot be less than 1 when it represents the larger of two sample variances.

The F-distribution is always a positive distribution with a range of values greater than zero. The F-test value is always greater than or equal to 0, but it is not always less than or equal to 1.

The numerator, representing the bigger sample variance, is always greater than or equal to the denominator, representing the smaller sample variance. Consequently, the F-ratio, which is the ratio of the larger to the smaller variance, is always greater than or equal to 1. Thus, an F-test statistic that is less than 1 is mathematically incorrect.

Therefore, an F-test statistic is always a positive number that is greater than or equal to zero and greater than or equal to 1. This is because the numerator of an F-distribution is always greater than or equal to the denominator.

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The probability of randomly drawing a consonant is 5/9.

The probability of an event occurring is a metric in statistics. It is a number between 0 and 1, with 0 designating an impossibility and 1 indicating a certainty. In statistics, probability is used to model and evaluate uncertain occurrences or outcomes as well as to generate predictions and make defensible judgements based on facts. The ratio of positive outcomes to all conceivable outcomes, as well as as a percentage or decimal, are all ways to describe probability.

In the given problem, the number of tiles having constants are 5.

Also. the total number of tiles is 9.

Thus, the probability of randomly drawing a consonant is 5/9.

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Matching the equations to the given situations:

Equation: 5x + 10 = 35 represents Kate buying 10 tickets to a show and paying a $5 parking fee, spending $35 in total.

Equation: 10x + 5 = 35 corresponds to Ram having 35 gel pens, giving an equal number of pens to each of his 5 friends and keeping 10 pens for himself.

Equation: 353 + 5 = 10 does not match any of the given situations.

To match the equations to their respective situations, we need to carefully analyze each equation and determine which scenario it represents.

In the first situation, Kate buys 10 tickets to a show and pays a $5 parking fee. The equation 5x + 10 = 35 aligns with this situation, where x represents the cost of each ticket. By solving the equation, we can find the value of x and confirm that it matches the given context.

The second situation involves Ram having 35 gel pens and distributing an equal number of pens to each of his 5 friends, with 10 pens remaining for himself. The equation 10x + 5 = 35 corresponds to this scenario, where x represents the number of pens given to each friend. Solving this equation allows us to determine the value of x and verify its consistency with the situation.

However, the third equation, 353 + 5 = 10, does not align with any of the given situations. It seems to be an erroneous equation or unrelated to the provided contexts.

Matching equations to situations requires careful analysis of the given information and identifying the variables and their relationships within each equation. By understanding the contexts and solving the equations, we can correctly pair each equation with its corresponding situation.

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Answer:

13/20 of a mile

Step-by-step explanation:

2/5 x 4 = 8/20

1/4 x 5 = 5/20

8/20 + 5/20 = 13/20

Answer:

h = -9

2/3h - 1/3h + 11 = 8. Combine like terms

1/3h + 11 = 8. subtract from both sides

-11. -11

1/3h = -3

(3/1) 1/3h= -3 (3/1) multiply the reciprocal

h= -9

Step-by-step explanation:

2h/3 - h/3 + 11 = 8

h/3 = 8 - 11

h/3 = -3

h = -9

Answer:

annual = yearly

daily = everyday

so it's false

Step-by-step explanation:

daily compounding will pay more than yearly compounding because it happens daily.

it about it this way, some giving you interest daily versus yearly.

I hope these answer at least helps you

Good luck

Solution a needed 70 ounces and solution b needed 50 ounces

What does "1 ounce" mean?

One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.

One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.

So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:

50% * x + 20% * (100-x) = 41% * 100

Dropping the ‘%’ we get

50x + 2000 - 20x = 4100

30x = 2100

x = 2100/30 = 70

Hence 70 ounces will be needed

Solution a = 70 ounces

Solution b = 50 ounces

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Answer:

i believe it b 75% sure i sorry if i can't help

Step-by-step explanation:

The function g in the graph is a linear function, and the zero of the function g is -6

The zero of the function g is the point where the graph of function g crosses the x-axis

From the graph, we have the following point

(x,y) = (-6,0)

Hence, the zero of the function g is -6

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Step-by-step explanation:

So first thing is to determine which trigonometric ratio we use here. Theta is adjacent to 5 and 8 is the hypotenuse, so we should be using Cosine.

So we set up the equation

cos θ = adj/hype

cos θ = 5/8

θ = \(cos^{-1} (5/8)\)

θ=51.3178125...

θ=51°

The price of a gallon of milk relative to a pound of butter is 1.25.

The price of a loaf of bread relative to a gallon of milk can be calculated by finding the ratio of the price of a loaf of bread to the price of a gallon of milk.

This ratio can be calculated as follows:

Price of loaf of bread / Price of gallon of milk

= $1.50 / $3.00

= 0.5

Therefore, the price of a loaf of bread relative to a gallon of milk is 0.5.

The price of a gallon of milk relative to a pound of butter can also be calculated by finding the ratio of the price of a gallon of milk to the price of a pound of butter.

This ratio can be calculated as follows:

Price of gallon of milk / Price of pound of butter

= $3.00 / $2.40

= 1.25

Therefore, the price of a gallon of milk relative to a pound of butter is 1.25.

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Answer:

522

Step-by-step explanation:

volume of plastic needed=  4/3 πr^3

= 4/3*3.14*125

=522.025

=522 in^3

Answer:

d

Step-by-step explanation:

a) The sample test statistic follows a t-distribution with degrees of freedom df = n1 + n2 - 2. b)The null and alternative hypotheses are: H0: μ1 = μ2 and Ha: μ1 ≠ μ2. c) The sample distribution value is: t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2)) d) the two-sided p-value for t = -3.044 with df = 111 is approximately 0.003.

(a) The requirements for conducting a two-sample t-test are:

The two samples are independent random samples.

Both populations are normally distributed, or the sample sizes are large enough (n1 ≥ 30 and n2 ≥ 30).

The population variances are assumed to be equal, or the sample sizes and standard deviations are roughly equal.

The sample sizes are n1 = 49 and n2 = 64, which are both larger than 30, so the sample sizes are large enough. We do not know whether the populations are normally distributed, but since the sample sizes are large, the Central Limit Theorem applies and the sample means should follow an approximately normal distribution. We assume that the population variances are equal.

The sample test statistic follows a t-distribution with degrees of freedom df = n1 + n2 - 2.

(b) The null and alternative hypotheses are:

H0: μ1 = μ2 (the population means are equal)

Ha: μ1 ≠ μ2 (the population means are different)

(c) The sample means and standard deviations are:

x1 = 10, s1 = 3

x2 = 12, s2 = 4

The sample distribution value is:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2)) = 3.658

and n1 + n2 - 2 = 49 + 64 - 2 = 111

So, t = (10 - 12) / (3.658 * sqrt(1/49 + 1/64)) = -3.044

(d) The p-value of the sample test statistic is the probability of observing a t-value as extreme or more extreme than the one calculated, assuming the null hypothesis is true. Since the alternative hypothesis is two-sided, we use a two-sided p-value.

Using a t-table or a calculator, the two-sided p-value for t = -3.044 with df = 111 is approximately 0.003.

(e) Since the p-value (0.003) is less than the level of significance (0.01), we reject the null hypothesis. There is sufficient evidence to conclude that the population means are different.

(f) We can interpret the results as follows: at a 99% level of confidence, we can conclude that the drug has a statistically significant effect on cholesterol levels, as the mean cholesterol level after three months of taking the drug is significantly different from the initial mean cholesterol level. The sample data provides evidence that the drug is effective in reducing cholesterol levels.

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Answer:

First mechanic: 12.8 hours & Second mechanic:12.8 hours

First mechanic made 832$ & Second mechanic made 768$

Hope this is right. If not I apologize and please let me know:)

Step-by-step explanation:

First you would do 65+60=125. You do this to find how much they charge together. Then you would take the amount of money they make and divide that from 125: 1600/125=12.8. Now that you have 12.8 you would plug that in for each mechanic: 65 times 12.8=832 and 60 times 12.8=768. Now you have the amount of money each mechanic made and the amount of hours they worked.

No, a square matrix with two identical columns is not invertible.

For a square matrix to be invertible (or non-singular), it must have linearly independent columns (or rows). In other words, each column (or row) of the matrix must be unique and not a linear combination of the other columns (or rows).

If two columns of a square matrix are identical, it means that one column is a scalar multiple of the other. This results in linear dependence between the columns, and the matrix does not have full rank.

Since an invertible matrix must have full rank, a square matrix with two identical columns cannot be invertible.

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Answer:

648 sq. in.

Step-by-step explanation:

The ratio of the flag is 1:18 and the question asks for the area of the flag.

To find the actual flag size, you got to multiply the width by 18.

Then you must multiply the length by 18.

A= LxW

A=36 x 18

A= 648 sq. in.

Therefore, the area of the actual flag is 648 sq. in.