Could the number of courses a college student is enrolled in be related to their employment status? At a local college, a simple random
sample of 150 students was selected. Data was collected on each student on how many courses they were currently enrolled in and
whether they held a job. The data was then presented in the frequency table:
Number of Courses Employment Status Total
Four
Three
Total
No Job
Job
Job
0%
37
No Job
Part A: Calculate the proportion of students in the sample who have a job and are enrolled in at least three courses. Also, calculate the
proportion of students in the sample who do not have a job and are enrolled in at least three courses. (5 points)
Part B: The responses of the 150 students are summarized in the segmented bar graph.
9
20%
150
+
40%
60%
+
80%
100%
Two Courses
Three Courses
Four Courses
Write a few sentences summarizing what the graph reveals about the association between employment status and number of courses in
which students are enrolled among the 150 students in the sample. (5 points) (10 points)
Answers
Part A:
From the given frequency table, we can determine the number of students who have a job and are enrolled in at least three courses:
Job and at least three courses: 37
Similarly, we can calculate the number of students who do not have a job and are enrolled in at least three courses:
No job and at least three courses: 9
To find the proportions, we need to divide these counts by the total sample size, which is 150:
Proportion of students with a job and at least three courses: 37/150 = 0.2467 or 24.67%
Proportion of students without a job and at least three courses: 9/150 = 0.06 or 6%
Part B:
The segmented bar graph provides a visual representation of the association between employment status and the number of courses in which students are enrolled among the 150 students in the sample.
The graph shows three categories of courses: Two Courses, Three Courses, and Four Courses. The y-axis represents the percentage of students in each category, ranging from 0% to 100%.
For the students with a job, the graph indicates that the majority of them (80%) are enrolled in either two or three courses, with a smaller proportion (20%) enrolled in four courses.
For the students without a job, the graph reveals that a significant portion (40%) are enrolled in three courses, while the remaining students are evenly distributed between two courses (20%) and four courses (40%).
Overall, the graph suggests a relationship between employment status and the number of courses. Students with a job tend to have a higher proportion enrolled in two or three courses, while those without a job are more evenly distributed across the different course categories, with a slightly higher percentage in three courses.
Part A:
The proportion of students in the sample who have a job and are enrolled in at least three courses is 37/150, which equals 24.7%.
The proportion of students in the sample who do not have a job and are enrolled in at least three courses is 113/150, which equals 75.3%.
Part B:
The bar graph reveals that there is a strong association between employment status and number of courses in which students are enrolled. The majority of students who have a job are enrolled in three or four courses, while the majority of students who do not have a job are enrolled in two courses. This suggests that working students may have a greater ability to manage a heavy course load, which could be due to the fact that they are more organized and have more time-management skills that help them manage their work and studies simultaneously.
Related Questions
Three of these turtles weight 1,050 pounds. How much does one Pinta Island Tortoise weight?
Answers
Answer:
350 pounds
Step-by-step explanation:
Assuming three of the turtles are Pinta Island Tortoise, then:
3 turtles -- 1050
1 turtle -- 1050/3 = 350
Thenks and mark me brainliest :))
Answer:
the answer is 350
Step-by-step explanation:
1050 divided by 3 equals 350!!! hope this helps
what are the coordinates of B if the midpoint of line segment AB is (2, -5) and the coordinates of point A is (4, 4)?
Answers
Each year Kareem receives a $150 gift card to download music and apps onto his phone. The card expires in one year.
a) Suppose Kareem gives himself a monthly allowance to use from his card. If he spend within $3 of his monthly allowance for each of the first 11 months, find the range Kareem has left to spend on music and apps in the last month of the year
Answers
The ranges Kareem has left to spend on music and apps in the last month of the year is $13-$16.
Kareem's remaining budget range for the final month of the year can be calculated by subtracting the total of his monthly allowance from the initial $150 gift card.
Given that, Kareem spends within $3 of his monthly allowance for the first 11 months, it can be assumed that he has spent a total of $137 ($12 x 11 months).
Thus, the remaining budget range for the final month of the year is $13-$16. This budget range gives Kareem the freedom to purchase music and apps that are within his budget.
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6
b
D
h
14
C
a
B
Use the geometric mean (leg) theorem. What is
value of a?
07√2
O 2√70
O
20√5
O 70√5
Answers
Answer:
Step-by-step explanation:
\(\frac{6}{h}=\frac{h}[14}\\84=h^{2}\\h=\sqrt{84}\)
So, by the Pythagorean theorem,
\(a^{2}=14^{2}+(\sqrt{84})^{2}\\a^{2}=280\\a=\boxed{2\sqrt{70}}\)
Evaluate:
(15 +12) - 3 to the second power
Answers
Answer:
Step-by-step explanation: (15+12)-3^2 power ------> 27-3^2 power ----> 27-9 ----> equals 18
ANSWER:
18
SOLUTION:
(15+12) -3^2
(15+12) = 27
=27-3^2
=27- 9
=18
all employees work less than 40 hours
Answers
question: a researcher wishes to estimate, with 99% confidence, the population proportion of families who eat fast food at least once per week. her estimate must be accurate within 4% of the population proportion. (a) no preliminary estimate is available. find the minimum sample size needed. (b) find the minimum sample size needed, using a prior study that found that
Answers
The result from part (b) is smaller than the result from part (a), indicating that having an estimate of the population proportion reduces the minimum sample size needed.
(a) To find the minimum sample size needed when no preliminary estimate is available, we can use the formula:
\(n = (z^2 * p * (1 - p)) / E^2\)
where:
z = the z-score corresponding to the confidence level (99% confidence level has a z-score of 2.576)
p = the estimated population proportion (we don't have an estimate, so we'll use 0.5 for maximum variability)
E = the maximum error of the estimate (4% = 0.04)
Plugging in the values, we get:
\(n = (2.576^2 * 0.5 * (1 - 0.5)) / 0.04^2\\n = 659.36\)
Round up to the nearest whole number, we get a minimum sample size of 660.
(b) Using previous research where 20% of the respondents claimed to eat fast food four to six times per week, we can apply the following calculation to get the minimal sample size required:
\(n = (z^2 * p * (1 - p)) / E^2\)
where:
z = the z-score corresponding to the confidence level (99% confidence level has a z-score of 2.576)
p = the estimated population proportion (we have an estimate of 0.2)
E = the maximum error of the estimate (4% = 0.04)
Plugging in the values, we get:
\(n = (2.576^2 * 0.2 * (1 - 0.2)) / 0.04^2\\n = 320.34\)
Round up to the nearest whole number, we get a minimum sample size of 32.
(c) The result from part (b) is smaller than the result from part (a), indicating that having an estimate of the population proportion reduces the minimum sample size needed.
Population proportion refers to the proportion of individuals in a given population who possess a particular characteristic of interest. It is a statistical concept used to estimate the frequency of a specific attribute or behavior in a larger population. For instance, if we want to know the proportion of people in a city who own a car, we can randomly select a sample of people from the city and determine the percentage of people in the sample who own a car. This percentage can then be used to estimate the population proportion.
Population proportion is an important concept in statistical inference, where researchers use a sample to make inferences about the entire population. To ensure accurate estimation, the sample must be representative of the population being studied. Moreover, statistical techniques such as confidence intervals and hypothesis testing can be used to determine the degree of confidence in the estimated population proportion.
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Complete Question:-
A researcher wishes to estimate, with 99% confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 4% of the population proportion
(a) No preliminary estimate is available. Find the minimum sample size needed.
(b) Find the minimum sample size needed, using a prior study that found that 20% of the respondents said they eat fast food four to six times per week.
(c) Compare the results from parts (a) and (b)
-3 3/5 divided by -1/2
Answers
Answer:
36/5 or 7 1/5 or 7.2
Step-by-step explanation:
-3 3/5 = -18/5
-18/5 * -2 = 36/5
A translation is a congruent transformation along a vector such that each segment joining a point and its _____ has the same length as the vector and is parallel to the vector.
Answers
A translation is a congruent transformation along a vector such that each segment joining a point and its image has the same length as the vector and is parallel to the vector.
A translation is a type of congruent transformation in geometry that involves shifting an object or shape along a specific vector.
In a translation, every point and its corresponding image are connected by a segment, which has the same length as the vector and is parallel to the vector. The term you are looking for to fill the blank is "image."
During a translation, the object or shape maintains its size, shape, and orientation, ensuring that it remains congruent to its original form. This transformation moves the object without changing any of its properties, except for its position in the coordinate plane. Since the segment joining each point and its image is parallel to the vector and has the same length, this ensures that the entire shape is shifted uniformly along the vector's direction.
In summary, a translation is a congruent transformation that shifts an object or shape along a vector, preserving its size, shape, and orientation. The segments connecting each point and its image have the same length as the vector and are parallel to it, ensuring a uniform shift in the object's position.
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Select all the sentences that can be represented by the equation 25+p=38 A.25 is more than 38 is p B.25 times as much as p is 38 C.38 is p more than 25
Answers
Answer:
Option C: 38 is p more than 25
Step-by-step explanation:
the equation 25 + p = 38
can be read as 38 is 25 plus p units, or similarly ;
38 is p units more than 25.
Therefore from the three sentences you are showing, only the last one (option C) is the correct one.
Multiply: (2x -6)(x2 + 4x - 2)
Answers
Answer:
2\(x^{3}\)+2\(x^{2}\)-28x+12
Step-by-step explanation:
What are the two consecutive integers that √300 is between
A. 17 and 18
B. 289 and 324
C. 16 and 20
Answers
Answer:
hi there
17 and 18
17 times 17 equals 289
18 times 18 equals 324
Step-by-step explanation:
pls rate me the brainiest
Trivia Final Q4 50pts
Find the estimated value between two numbers (thousandths minimum)
2+2
Answers
Answer:
4
Step-by-step explanation:
PLEASE ANSWER ASAP!! I'll mark brainliest!!
Jaclyn estimates the square root of 32 in the following way:
√32 = 2√16 = 2 ∗ 4 = 8
(a) Explain why her reasoning is incorrect.
(b) Rewrite the problem and solve it correctly. Clearly show your work.
Answers
a) she put the numbers in the wrong place, V2 ≠2
b) V32= 4V2
What are all the solutions of the equation p2=\(\frac{9}{36}\)
Answers
Answer:
p = ± 1/2---------------------
Solve the equation for p by taking the square root:
\(p^2=\cfrac{9}{36}\)\(p=\sqrt{\cfrac{9}{36} } =\sqrt{\cfrac{1}{4} } =\pm\cfrac{1}{2}\)Answer:
\(p=\±\dfrac{1}{2}\)
Step-by-step explanation:
\(\sf p^2=\dfrac{9}{36}\)
First, divide both sides by 9 to write the fractions in their simplest form.
\(\sf p^2=\dfrac{1}{4}\)
To find the value of p, put the square root on both sides.
\(\sf p=\±\sqrt{\dfrac{1}{4}}\\\\p=\±\dfrac{1}{2}\)
If a polynomial function f(x) has roots –9 and 7 – i, what must be a factor of f(x)?
Answers
Answer:
The correct answer is x - (7 + i).
Help please thanks show work
Answers
Answer:
x = 18
Step-by-step explanation:
7x - 24 is a verticasl angle with an angle that is an...
Alternate interior angle with the combines values of 49 and 3x so they are equal
49 + 3x = (7x -23)
72 = 4x
x = 18
A travel company is conducting a survey to find out if taking a cruise vacation vs having a traditional vacation at a hotel is more fun. The company decides to ask every 3rd person exiting a cruise ship who is then asked if cruise vacations are more fun than hotel vacations.
Is this a bias or unbiased survey? Explain.
Answers
Due to the restricted sample of individuals exiting a cruise ship and the lack of representation from individuals who have not taken a cruise vacation, the survey is considered biased.
This survey can be considered biased due to the sampling method used. The survey only targets individuals exiting a cruise ship, specifically every 3rd person. This sampling method introduces selection bias, which means that the sample may not represent the larger population accurately.
Bias arises because the survey focuses solely on individuals who have chosen to take a cruise vacation. It excludes individuals who have not taken a cruise vacation or have chosen a traditional hotel vacation.
By only surveying people who have already experienced a cruise vacation, the survey inherently assumes that these individuals have a preference or bias towards cruises.
To obtain an unbiased survey, it is crucial to include a representative sample from the entire population of interest. In this case, that would mean surveying individuals who have taken both cruise vacations and hotel vacations, as well as those who have only taken hotel vacations.
By including individuals who have experienced both types of vacations, the survey would provide a more balanced and comprehensive perspective on the comparison between cruise and hotel vacations.
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A zoologist recorded the speed of two cheetahs. Cheetah A ran 18 miles in 16 minutes. Cheetah B ran 54 miles in 50 minutes. Which statement is correct?
Answers
Answer:
Cheetah A ran at a faster speed than Cheetah B, as it ran 18 miles in 16 minutes while Cheetah B ran 54 miles in 50 minutes.
Step-by-step explanation:
Answer: its A
Step-by-step explanation:
What is the solution to the equation 8x−6(x−2)−22=10+2x
Answers
Work:
8x-6(x-2)-22=10+2x Multiply what’s in the parenthesis by -6
8x-6x-12-22=10+2x Combine like terms
2x-24=10+2x Subtract both sides by 2x
-24=10.
No Solution
It is no solution because if you subtract 2x from 2x it equals 0, and if there is no x then there is no variable meaning no solution.
Arik invested $500 in a savings account that earns 6.25% interest compounded monthly. Assuming there are no other deposits or withdrawals, what is the total amount in his account after 4 years?
Answers
The total amount that would be found in the account after 4 years, would be $ 641. 69
How to find the total amount ?The total amount after 4 years in Arik's account can be found by the formula :
= A = Amount invested x ( 1 + r /n )ⁿ
The variables are:
Amount invested = $ 500
r = 6.25% = 0. 0625
n = 12
t = 4 years
The total amount is then :
A = 500 x ( 1 + 0. 0625 / 12 ) ^ ⁽¹² ˣ ⁴ ⁾
A = $ 641. 69
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A traditional children’s riddle concerns a farmer who
is traveling with a sack of rye, a goose, and a mischievous dog.
The farmer comes to a river that he must cross from east to west. A
boat is ava
Answers
The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.
He comes to a river that he must cross from east to west, and there is a boat available to do so. Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."
The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.
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5(1+n)=-5 someone help!!!!!!!!!!!
Answers
Answer: -2
Step-by-step explanation:
-Distribute : 5+5n=-5
-Set both sides : 5n=-10
-Divide : -10/5n = -2
any number raised to the 2nd power is said to be
Answers
Answer: squared
Step-by-step explanation:
Find the value of x.
A. 20
B. 17
C. 22
D. 15
Answers
Answer:
The value if x is 20
Step-by-step explanation:
Hope this helps :)
The value of the variable x is 20. Then the correct option is A.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
If the two chords of the circle intersect at a point, then the product of the segments of the chord will be equal.
We know that the product of (x - 5) & (x - 8) and (x - 5) & (x) will be equal. Then we have
(x - 5) · (x - 8) = (x - 11) · x
Simplify the equation, then the value of the variable x will be
(x - 5) · (x - 8) = (x - 11) · x
x² - 13x + 40 = x² - 11x
2x = 40
x = 20
Thus, the value of the variable x is 20.
Then the correct option is A.
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identify the surface whose equation is given. rho2(sin2(φ) sin2(θ) + cos2(φ)) = 36
Answers
Therefore, the surface represented by the given equation is a sphere centered at the origin with a radius of 6 units.
The given equation rho^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36 represents a surface in spherical coordinates. Let's break down the equation to identify the surface:
ρ^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36
Here, ρ represents the radial distance, φ is the polar angle, and θ is the azimuthal angle.
By analyzing the equation, we can see that it combines both the azimuthal and polar angles. The terms sin^2(φ)sin^2(θ) and cos^2(φ) involve both angles.
The equation ρ^2(sin^2(φ)sin^2(θ) + cos^2(φ)) = 36 describes a sphere centered at the origin with a radius of 6 units. The constant value of 36 indicates that the squared radial distance from the origin to any point on the surface is 36.
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What are the steps, in the correct order, to write and solve an equation? Check all that apply *
Mark only one oval.
1. Identify the variable.
2. Identify the operation.
3. Write an equation.
4. Solve the equation.
5. Check the solution.
2. Solve the equation.
3. Check the solution.
( NO LINKS BESTYS )
Answers
1. identify the variable
2. identify the operation
3. write an equation
4. solve the equation
5. check the solution
Good luck.
The correct order to write and solve an equation is,
1. identify the variable
2. identify the operation
3. write an equation
4. solve the equation
5. check the solution
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
To find the steps to write and solve an equation.
Here, All the steps are,
1. Identify the variable.
2. Identify the operation.
3. Write an equation.
4. Solve the equation.
5. Check the solution.
2. Solve the equation.
3. Check the solution.
Hence, The correct order to write and solve an equation is,
1. identify the variable
2. identify the operation
3. write an equation
4. solve the equation
5. check the solution
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A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin's work and find his error.
Answers
Answer: The answer is provided below
Step-by-step explanation:
A price markdown is a reduction that is deliberate when selling a product. From the question, we are informed that a video game that usually costs $30.65 is marked down 60%.
The find the new price of the video game, we have to subtract the amount reduced from the original price. The amount reduced is:
= 60% of $30.65
= 60/100 × $30.65
= 0.6 × $30.65
= $18.39
The new selling price = $30.65 - $18.39
= $12.26
The error that Kelvin made when he determined that the new price of the game would be $18.39 was that he didn't subtract the value from the original price of the video game.
on ran around a track that was 1/8 of a mile long.He ran around the track 24 times.how mant miles did jon run in all?
Answers
Answer:
3 miles
Step-by-step explanation:
1/8*24=3
Answer:
Step-by-step explanation:
He ran 24 times around the track1
Circumfrence of track=1/8 Mile
Total distance he covered=1/8*24
Distance = 3 miles
the product (5+i) (5-i) is a real number, 26. What are two factors (5+i) and (5-i) called?
Answers
Answer:
Complex numbers
Step-by-step explanation:
Given
5 + i and 5 - i
Required
What are they called?
In numbering system,
Complex numbers are of the form:
\(a + bi\)
Comparing the given numbers to the form of complex number, we'll see that there's a perfect match between the two
i.e.
\(a + bi = 5 + i\)
\(a + bi = 5 - i\)
Hence, they are referred to as complex numbers