answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katrin [286]
2 years ago
7

George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He

asked 500 students at his school the following questions: "Are you in the Art Club?" and "Did you get the art class you requested?" The results are shown in the table below:
Art Club Not in Art Club Total
Received art class requested 100 265 365
Did not get art class requested 65 70 135
Total 165 335 500


Help George determine if all students at his school have an equal opportunity to get into the art class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.
Mathematics
1 answer:
Whitepunk [10]2 years ago
4 0

Answer:

  class assignment seems to discriminate against Art Club members

Step-by-step explanation:

The probability of getting the requested assignment given that the student was in Art Club was ...

  P(got class | art club) = P(got class & art club)/P(art club)

  P(got class | art club) = (100/500)/(165/500) ≈ 60.6%

__

  P(got class | not club) = P(got class & not club)/P(not club)

  P(got class | not club) = (265/500)/(335/500) ≈ 79.1%

It looks like George's theory may be incorrect, as a significantly greater percentage of non-club students got their requested class than did club students. The class assignment process and art club membership are not independent, suggesting an unfair disadvantage for club students.

You might be interested in
Suppose that a company's sales were $1,000,000 6 years ago and are $9,000,000 at the end of the 6 years. Find the geometric mean
Dmitriy789 [7]

Answer:

The geometric mean growth rate of sales is 1.4422.

Step-by-step explanation:

We have two sales values, one from 6 years ago and the other from now.

We have to calculate the geometric growth rate of sales.

We have:

y(-6)=1,000,000\\\\y(0)=9,000,000

We can write the relation between these two values as:

y(0)=y(-6)k^{0-(-6)}\\\\9,000,000=1,000,000k^6\\\\k^6=9\\\\k=9^{1/6}= 1.4422

The geometric mean growth rate of sales is 1.4422.

6 0
2 years ago
A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sa
sergeinik [125]
X - the number of sandwiches ordered
y - the number of soups ordered

There were 18 people, and each person ordered either one soup or one sandwich.
x+y=18

The sandwiches cost $7.75 each, the soups cost $4.50 each. The total cost was $113.50.
7.75x+4.5y=113.5

Set up a system of equations:
x+y=18 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\times (-4.5) \\
7.75x+4.5y=113.5 \\ \\
-4.5x-4.5y=-81 \\
\underline{7.75x+4.5y=113.5} \\
3.25x=32.5 \\
x=\frac{32.5}{3.25} \\
x=10

10 sandwiches were ordered.
The answer is D.
4 0
2 years ago
I can buy 4 basketballs for $44. At that same rate, how much would 8 basketballs cost
Advocard [28]

Answer:

$88.00

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The average blood alcohol concentration (bac) of eight male subjects was measured after consumption of 15 ml of ethanol (corresp
Neporo4naja [7]

Answer:

After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.

Step-by-step explanation:

The average blood alcohol concentration (bac)  is modeled by the following function.

c(t) = 0.0225te^{-0.0467t}

In which t is measured in minuted.

How rapidly was the BAC increasing after 5 minutes?

This is c'(t) when t = 5.

Using the derivative of the product.

Derivative of the product:

c(t) = f(t)*g(t)

c'(t) = f'(t)*g(t) + f(t)*g'(t)

In which problem:

f(t) = 0.0225t

g(t) = e^{-0.0467t}

So

c'(t) = 0.0225e^{-0.0467t} - 0.0225*0.0467*te^{-0.0467t}

c'(5) = 0.0225e^{-0.0467*5} - 0.0225*0.0467*5e^{-0.0467*5} = 0.0137

After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.

3 0
2 years ago
The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in theratio is 10, what is the Second numb
Zanzabum

Answer:

10:40

Step-by-step explanation:

As the left number increases by 1, the right number increases by 4. So as you can see, the left numbers go 3-4-5 while the right numbers go 12-16-20. So the answer is 10:40 because 10x4=40.

6 0
2 years ago
Read 2 more answers
Other questions:
  • 1+4=5 2+5=12 3+6=21 8+11=? puzzle answer
    10·1 answer
  • Find the area of the triangular section of the rectangle solid shown in the figure .
    15·2 answers
  • High levels of cholesterol in the blood are not healthy in either humans or dogs. Because a diet rich in saturated fats raises t
    9·1 answer
  • Sally's Stuffed Animal Company charges $0.75 per pound to ship stuffed animals. Part A: Write an equation to determine the total
    15·1 answer
  • What is the value of z in the equation 3z - 7 = 14
    8·1 answer
  • The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) us
    12·2 answers
  • Marla is running clockwise around a circular track. She runs at a constant speed of 4 meters per second. She takes 46 seconds to
    13·1 answer
  • Which equation is the inverse of y = 9x2 – 4? y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 9 EndFraction y = plu
    7·2 answers
  • De acuerdo con los registros de una empresa, se requieren 54 toneladas de naranjas para producir 45 toneladas de concentrado en
    12·1 answer
  • A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. T
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!