Alex believes the honor roll students at his school have an unfair
advantage in being
assigned to the science class they request. He asked 500 students at his school the
following questions: Are you on the honor roll?" and "Did you get the science class you
requested?" The results are shown in the table below:
Honor roll Not on honor roll Total
Received science class requested
64
315
379
Did not get science class requested 80
41
121
Total
144
356
500
Help Alex determine if all students at his school have an equal opportunity to get into
the science class they requested. Show your work, and explain your process for
determining the fairness of the class assignment process.

Answers

Answer 1

According to the information provided, it can be inferred that the conclusion reached by Alex is that there are no advantages to honor roll students.

How to calculate the percentage of students who received the requested classes?

To calculate the percentages of students who received the requested classes, we must take into account the data in the table. Additionally, we must perform the following operations:

144 ÷ 100 = 1.44

64 ÷ 1.44 = 44.44%

According to the above, the percentage of students who are on the honor roll and receive their classes is 44.44%.

To calculate the percentage of students who are not on the honor roll and receive their classes, we do the following operation.

356 ÷ 100 = 3.56

315 ÷ 3.56 = 88.48%

According to the above, it can be inferred that the students who are on the honor roll do not have advantages over the others because the percentage of students who are not on the honor roll and receive their science classes is greater than the percentage of students who are on the honor roll and receive their classes.

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Related Questions

Find the Area and circumference of each circle below.​

Answers

Answer:

2: area is ≈153.93804 and circumfrence is ≈43.9823

3: area is ≈706.85835 and circumfrene is ≈94.24778

Step-by-step explanation:

The formula for area is A = pi r^2

for 2 you would plug 7 in for r, then square it, then multiply it by pi.

for 3 you would divide the diameter, 30, by 2 to get r (15), then square it then multiply by pi.

The formula for cirumfrence is C = 2 pi r

for 2 you would multiply 7 by 2, then multiply that by pi

for 3 you dont need to do much since the diameter (30) is already 2r. Basically all you need to do for that one is multiply 30 by pi

What is the value of x in the triangle?

Answers

Answer:

3 = x

Step-by-step explanation:

Well, the two unknown sides share the same size due to the same angle, so now, using the fact we only have the info about one side, we need to do a reverse pythagorean theorem.

[tex]c^{2} = a^{2} + b^{2}[/tex]

Our a and b are the same, so I will change them to "x" and combine them.

[tex]c^{2} = 2(x)^{2}[/tex]

Now we plug in our "c" and square it ("C" in this case is: [tex]3\sqrt{2}[/tex] )

[tex]18 = 2(x)^{2}[/tex]

[tex]9 = x^{2}[/tex]

3 = x

Use the axiomatic approach for vectors to prove the distributive law of vectors

Answers

Step-by-step explanation:

Find the HCF of 9m 80cm 8m 40cm 4m 20cm

Which ordered pair is a solution of the equation?
4x -1 = 3y + 5
(2,3)
(3,2)
(1,1)
(9,10)

Answers

(3,2)

4(3)-1=11

3(2)+5=11

Answer:

(3, 2)

(9, 10)

Step-by-step explanation:

Ordered pairs (3, 2) and (9, 10) is the solution of the equation 4x -1 = 3y + 5

4x -1 = 3y + 5 (given)

Lets us check for (3, 2)

L.H.S. = 4x - 1 = 4(3) - 1 = 12 - 1 = 11 (plug x = 3)

R.H.S. = 3y + 5 = 3(2) + 5 = 6 + 5 = 11 (plug y = 2)

-> L.H.S. = R.H.S.

-> Ordered pair (3, 2) is a solution of the given equation.

Similarly, ordered pair (9, 10) is also a solution of the given equation because L.H.S and R. H.S. are equal to 35 on plugging x = 9 and y = 10.

The amount of bacteria in a culture doubles every minute. The culture starts with
20 bacteria.
a. Write an equation modelling the number of bacteria, y, after x minutes.

Answers

Answer:

exponential function, x = time in minutes, y = number of bacteria

Step-by-step explanation:

y = 20 × (2)^x

1
James purchases a rare coin for $450. The coin appreciates at a rate of 1.2% each year. How much will the coin be worth after 25 years?

Answers

Answer: $585

Step-by-Step Explanation:

Price of Rare Coin = $450
Rate at which it appreciates = 1.2%
Price of Rare Coin after 25 years = ?

Therefore,
= 1.2 * 25 = 30%

Hence, price of coin after 25 years:
= (30/100 * 450) + 450
= 135 + 450
= 585

Therefore,
The coin would cost $585 after 25 yrs.

Solve for x. Enter your answer in interval
notation using grouping symbols.
x² + 2x ≥ 15

Answers

Answer:

[tex](x−3)(x+5) .....is.. the.. factorised.. form.. of.. the.. expression[/tex]

Step-by-step explanation:

[tex]x^2 + 2x > =15 \\x^2 + 2x - 15 > = 0 \\(x + 4)(x - 2) < 0 , \\{x + 4 < 0 and .x - 2 > 0} or {x + 4 > 0 ,\\and .x - 2 < 0} , \\{x < -4 and .x > 2} or {x > -4 and. x < 2},\\ Discard .x < -4 and. x > 2 because. it. has. no. solutions,\\ leaving .just x > -4 and .x < 2 , -4 < x < 2[/tex]

The bottom of a circular swimming pool with a diameter of 40feet is made up of blue tiles . How many square feet is that

Answers

Answer:

radius = 40 / 2 = 20ft

Circle area = πr² = π × 20² = 1256.6 sq. ft

How do I solve this ?

Answers

Answer:

The theoretical probability of rolling a 4 on any given roll for a six-sided die is [tex]\frac{1}{6}[/tex], The experimental probability of rolling a 4 is [tex]\frac{6}{25}[/tex].

Step-by-step explanation:

Lila's Tea Shop has caffeinated tea
and decaffeinated tea. During the
lunchtime rush, the tea shop served
100 teas in all, 41% of which were
caffeinated. How many caffeinated
teas did the tea shop serve?

Answers

Answer:

28 caffinated  teas

Step-by-step explanation:

14 boys and 16 girls in class
What is the ratio of girls to the total number of students in class? Write ratio in 3 ways

Answers

Answer:

1) 16 : 30

2) 8 : 15

3)  [tex]\displaystyle \frac{8}{15}[/tex]

Step-by-step explanation:

Boys = 14

Girls = 16

Total students:

= 14 + 16

= 30

Ratio of Girls to total number of students in class:

= 16 : 30

÷2     ÷2

= 8 : 15

= [tex]\displaystyle \frac{8}{15}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Suzy drove to a hair appointment at 50mph. Her average speed on the return home was 40mph. The return home took 1/4hr longer because of heavy traffic. How far did she travel to her hair appointment?

Answers

Since Suzy return took 1/4 hr longer, how far Suzy travelled to her appointment is 50 mi

To answer the question, we need to know what distance travelled by Suzy is

Distance between Suzy's home and hair appointment

The distance between Suzy and her appointment is d = vt where

v = Suzy's speed = 50 mph and t = time it takes to teach her appointment.

So, d = 50t   (1)

Now, since Suzy returns home at a speed of v' = 40 mph and takes her 1/4 hr longer to return home,her return time is , t' = (t + 1/4) h

Since the distance she ruturns home is the same, we also have that

d = v't'

= 40(t + 1/4)  (2)

Equating (1) and (2), we have

50t = 40(t + 1/4)

50t = 40t + 10

50t - 40t = 10

10t = 10

t = 10/10

t = 1 hr

How far Suzy travelled to her appointment

Substituting t = 1 into d = 50t, we have

d = 50(1)

d = 50 m

So, how far Suzy travelled to her appointment is 50 mi

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1. Answer the following questions on the number given below. 12,34 761 (a) What is this number called?​

Answers

Step-by-step explanation:

one million, two hundred thirty-four thousand, seven hundred sixty-one

Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4 from the product, she will find his age. She tells him that his age equals the expression 12 + 5 × 3 − 4 . Is Sophia correct? Choose the correct answers from the drop-down menus. Sophia is Choose... . Her uncle's actual age is Choose... .

Answers

Answer:

Yes, Sophia is correct

Step-by-step explanation:

The expression is correct and if you solve it, you get 23 which should be her uncle's age.

For Halloween, Sue wears a monocle that, its packaging claims, has a circumference of
18.212 centimeters. What is the monocle's radius?

Use 3.14

Answers

the measure of the radius is 2.9

PLEASE EXPLAIN I NEED THIS

Answers

Blah Norah don’t know what I want to do lol lol I bet you are you lol

y=x-2
y=4
x=3
y=2x+1
CAN SOMEBODY HELP ME WITH THIS? SUPER HARD HOMEWORK​

Answers

Answer:

//Solve equation [2] for the variable  y

  [2]    y = 4

// Plug this in for variable  y  in equation [1]

  [1]    (4) - x = -2

  [1]     - x = -6

// Plug this in for variable  y  in equation [4]

  [4]    (4) - 2x = 1

  [4]     - 2x = -3

// Solve equation [1] for the variable  x

  [1]    x = 6

// Plug this in for variable  x  in equation [3]

  [3]    (6) = 3

  [3]    0 = -3 =>  NO solution

No solution

A password is 4 characters long and must consist of 3 letters and one number. if letters cannot be repeated and the password must end with a number, how many possibilities are there? a. 175,760 b. 158,184 c. 156,000 d. 140,400 please select the best answer from the choices provided a b c d

Answers

The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000

What is an equation?

An equation is an expression that shows the relationship between two or more number and variables.

The possibility of selecting the password = 26 * 25 * 24 * 10 = 156000

The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000

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Can you help me please

Answers

From the figure given above, angel < ABE = 40°

Calculation of unknown angle

The angle of a straight line = 180°

That is angle <ABC = 180°

If <EBC is = 140°

Therefore, <ABE = 180 - 140

= 40°

Therefore, from the figure given above, angel < ABE = 40°

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I really need help on this

Answers

Answer:

y=4

Step-by-step explanation:

steps

3×9+4y=43

4y=43-27

4y=16

Divide both side by 4

4y/4=16/4

y=4

Answer: y = 4

Explanation: Your first equation should be
3(9) + 4y = 43
27 + 4y = 43
-27 + 4y = -27
4y = 16
16/4 = 4

1 Which expression is equivalent to
12x - 3x?
A x(123)
(B) 8x
© 3(3x - x)
(D 9

Answers

    If your options are:

A. x(12-3)

B. 8x

C. 3 (3x-x)

D. 9

      Then the following is true.

Answer: (A) x(12-3)

   First, we will simplify the given expressions;

A. x(12-3)     = 12x - 3x

B. 8x           = 8x

C. 3 (3x-x)   = 9x - 3x

D. 9             =9

   This means the answer to your question is;

          A. x(12-3)

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Simplify (2x^2y)^5. This needs to be simplified

Answers

Answer:

32x^10y

Explanation -

You want to use distributive property. Take 2x^5 and the Exponent 2y^5

It should look like this

Algebra 1 is all about equations and functions. First, you learned about Linear Functions then Quadratic Functions. Next, you learned about Rational Functions (indirect variation), then Exponential and then Radical Functions. Before Algebra 1 comes to a close, it is good to review these functions and compare them side by side.


Complete the table below. The table is created for you in the Word or PDF Worksheet. If you don't have Microsoft Word, download the PDF and create the worksheet in an application of your choice, complete the worksheet and upload it as a PDF.


All images should be original. Graphed them using a digital calculator such as Desmos.


Resources: Desmos User Guide

Export a graph from Desmos by choosing 'Share' and then 'Export', or you can 'Print' them as a PDF. Alternatively, you can take a screenshot of your graph. You can insert the image into this table or give your image files a distinct name and upload them with this worksheet. You can upload them as a PDF, or you can use an image file format - PNG, JPG or GIF files.



Linear Quadratic Rational Exponential Radical

Parent Function:

Notation

----------------------------

Parent Function:

Graph

----------------------------

Translation:

Graph a function which extends

through quadrant 1, 2, and 4.

If it is not possible to graph

through these quadrants,

chose one or two quadrants and explain the choice.

-------------------------------------

Write the function notation

for the above function

-------------------------------------

Domain and Range of

translated function


Reflection: Write a paragraph summarizing what you learned from this activity.

Answers

Answer:

Algebra is simple and the answer is infinity due to there being over one million diffrent possoblitlitys, We know that because of albert ienstine so the answer has been solved.

Step-by-step explanation:

How many students were surveyed?

Answers

Answer:

20

Step-by-step explanation:

count the dots

Answer:

20 students

Step-by-step explanation:

You just need to count the number of dots.

hope this helps

have a good day

Which of these ordered pairs is a solution to the linear inequality 3y – 2x ≥ 8?


(3, 1)


(1, 3)


(2, –4)


(–4, 2)

Answers

Answer:

(-4 , 2)

Step-by-step explanation:

Linear inequality:

      3y - 2x ≥ 8

The ordered point (-4 ,2) satisfies the inequality. So, (-4,2) is the solution for the equation.

3*2 - 2*(-4) ≥ 8

     6 + 8  ≥ 8

         14  ≥ 8

help will mark Brainliest!!​

Answers

Answer:

1/20

Step-by-step explanation:

1/4 = 0.25

0.25 / 5 = 0.05

0.05 as a fraction = 5/100

simplified

5 / 5 = 1

100 / 5 = 20

1/20

Select the reason why these triangles are
similar. If they are not, select "Not similar."
2.5
1
0.5
2.25
A. AA
B. SAS
C. SSS
D. Not similar

Answers

Answer:

D

Step-by-step explanation:

1/2 is not equal to 1/2.5 is not equal to 0.5/2.25.

Type the correct answer in each box.
A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is ____? units. The point (-7, __?) lies on this circle.

Answers

Answer:

the answer is 5 and (-7,5)

Step-by-step explanation:

The radius is 5, and the points (-7, 5) and (-7, -1) both lie on the circle.

Given that:

The points at which the circle is centered are (-3,2)

Passing points = (1,5)

The radius is calculated using the distance formula:

d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

Substituting the coordinates, we have:

d =[tex]\sqrt{({1 - (-3))^2 + (5 - 2)^2[/tex]

 = [tex]\sqrt{(1 + 3)^2 + (5 - 2)^2[/tex]

 =[tex]\sqrt{(4^2 + 3^2)[/tex]

 = [tex]\sqrt{(16 + 9)[/tex]

  = 5

Therefore, the radius of the circle is 5 units.

The equation of a circle with center (h, k) and radius r is given by:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Substituting the values, we have:

[tex][-7 - (-3)]^2 + (y - 2)^2 = 5^2[/tex]

[tex](-7 + 3)^2 + (y - 2)^2 = 25[/tex]

[tex](-4)^2 + (y - 2)^2 = 25[/tex]

[tex]16 + (y - 2)^2 = 25[/tex]

[tex](y - 2)^2 = 9[/tex]

Taking the square root of both sides, we have:

y - 2 = ±3

Solving for y, we have two possible values:

y - 2 = 3    

y = 5

y - 2 = -3

 y = -1

The points (-7, 5) and (-7, -1) both lie on the circle.

Thus, the radius is 5, and the points (-7, 5) and (-7, -1) both lie on the circle.

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Find the area of each. Round your answer to the nearest tenth. 28) 2.6 cm​

Answers

Answer:

Here is the answer...hope it helps

CAN ANYONE PLEASE HELP!’

Answers

Answer:

130 cm³

Step-by-step explanation:

Volume of the pyramid = 1/3 × base area × height

Calculating base area;

Area = length × width

= 8 × 7

= 56 cm²

Now, Volume = ⅓ × 56 × 7

= ⅓ × 392

= 130.6 cm³.

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