A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For that purpose, she assigned each student a number. Then she rolled two dice numbered from 1 to 6 three times and selected the student whose number was repeated most often.

Which of the following best describes the method used by the principal?

It's an unfair method because each student will not post the same outcomes.
It's a fair method because each result is an equally likely possible outcome.
It's a fair method because it's a limited number of students.
It's an unfair method because two or more students could get the same results.

Answers

Answer 1

Answer: It's an unfair method because two or more students could get the same results./ D

Step-by-step explanation: hope this helps

Answer 2

Answer:

B. It's a fair method because each result is an equally likely possible outcome.

Step-by-step-explanation :

According to the question , there are a total of 6 students to be selected by the principal.  

So, the principal chose to roll two dice numbered 1, 2, 3, 4, 5, 6 for the selected students and choose the one whose number is most repeated.

Since we have sis sides on a dice , 2 dice [tex]= 6\times6=36[/tex]

The  probability that a student will choose one number :[tex]\frac{1}{36}[/tex]

Thus, the selection of each student is given by the number

[tex]\frac{1}{36}[/tex]

So,each result is an equally likely possible outcome.

So, the principal choose a fair method.


Related Questions

If sin theta= 3/4and angle A is in Quadrant I, what is the exact value of tan 2theta in
simplest radical form?

Answers

Answer:

-6[tex]\sqrt{7}[/tex] /434

Step-by-step explanation:

In a three digit number, the tens digit is equal to the sum of the hundreds digit and the units digit. The hundreds digit of this number is 3 more than the units digit. If the digits are reversed, the new number is 11 less than half the original number. Find the original number.

Answers

572

Olive Boi is funny, he answered 123      l m f a o

Answer:

572

Step-by-step explanation:

Tens is T, Hundreds is H, and Units is U.

T=H+U

H=U+3

HTU÷2-11=UTH

From this point, I just started guessing. Sorry.

2(3 - 8y) =

What is the anwser:

Answers

Answer:

2(3 -8y)

6 - 16y

i can't go any further

3+x=x^2+3x Rewrite the equation by completing the square. What are the solutions to the equation?

Answers

Answer:

hope this helps

Step-by-step explanation:

3+x=x²+3x

Simply the equations.

= x+3=x²+3x

Subtract x²+3x from both sides.

x+3−(x²+3x)=x2+3x−(x²+3x)

−x2−2x+3=0

Factor left side of equation.

(−x+1)(x+3)=0

−x+1=0 or x+3=0

Answer:

x=1 or x=−3

PLEASE HELP ME FAST!!! THIS IS DUE TODAY I JUST NEED TO GRAPH THE EQUATION

Answers

Answer: Put the problem into Desmos Graphing Calculator

Step-by-step explanation:

In the attachment count the shaded, and the total amount make it to a fraction, and then simplify to make it to a percentage

Answers

Answer:

30/75  2/5

Step-by-step explanation:

there are 30 shaded squares, and a total of 75 squares. Therefore the fraction is 30/75.   This can be simplified to 2/5 if both sides are divided by fifteen.

To make a percentage, simply divide 2 by 5 which equals 0.4 = 40%

the ratio of boys and girls in class is 3:2 Tthere are 15 boys how many total of boys and girls are in class

Answers

Answer: 15 boys and 10 girls

Step-by-step explanation:

15/3=5, so the you have to multiply 2 by 5 to get the number of girls. 2x5=10, so to get the total number of students you add 15+10 which gets you 25 students, but if it’s just asking for girls, then it’s 10.

Answer:

25

Step-by-step explanation:

3:2 = 15:10 ( 3x5 = 15 boys; 2x5 = 10 girls)

15+10=25 total boys and girls

Solve.
³+y+z
3x-2y+22-2
−2x−y+3z − −4
Enter your answer, in the form (z,y,2).
6

Answers

Answer:

(2, -6, 1)

Step-by-step explanation:

Multiplying the first equation by 2 yields 4x+2y-2z = -6.

Adding this to the second equation, we get 9x=18, and thus x=2.

From the third equation, we know z=1.

From the first equation, it follows that y = -6.

The table below shows last year's gross income, standard deduction, and
number of exemptions for four different workers.
"d/
Gross
Income
Standard
Deduction
Number of Exemptions at
$3650 Each
Clara
$61,788
$5700
1
Esther $66,837
$8350
2
Jerry
$67,902
$5700
3
Leo
$63,478
$8350
1
Assuming that each worker used the standard deduction and that none of the
workers had any additional adjustments, which worker had the lowest taxable
income last year?
A. Esther
B. Clara
C. Leo
O D. Jerry

Answers

Answer:

I am pretty sure answer is Leo he has the lowest dollar amount with the lowest number of exemptions that is how I did the one I just took and did fine

Step-by-step explanation:

please help do this am struggle

Answers

Answer:that's hard

Step-by-step explanation:

What are composite numbers 7 13 39 97

Answers

39 is a composite numbers out of 7 13 39 97.

What is composite number?

A composite number is one that can be generated by multiplying two smaller positive numbers. It is a positive integer with at least one divisor other than 1 and itself. Every positive integer is either composite, prime, or the unit 1, hence composite numbers are those that are neither prime nor a unit.

The integer 14 is a composite number, for example, since it is the product of the two smaller integers 2 7 Similarly, the numerals 2 and 3 are not composite numbers because they can only be divided by one and themselves.

Learn more about composite number

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In the currency pair USD/CAN, USD is what currency?

Answers

USD Is United States dollars
So American money

Subtract (-2x² +3x-5) from( 6x2 -4x+2)

Answers

Answer:

8x² - 7x + 7

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

(6x² - 4x + 2) - (-2x² + 3x - 5)

Step 2: Simplify

Distribute negative:                    6x² - 4x + 2 + 2x² - 3x + 5Combine like terms (x²):             8x² - 4x + 2 - 3x + 5Combine like terms (x):               8x² - 7x + 2 + 5Combine like terms (Z):              8x² - 7x + 7

slope = 1/2, through: (3, 1)

Answers

Answer:

m=0

Step-by-step explanation:

Solving Equations
If an elephant travels for 4 hours at
6.5 mph and a giraffe travels for 2
hours at ll mph, who covers more
distance?
E. elephant
F. giraffe
G. They travel the same distance.
H. cannot be determined based on the
information provided
Q2

Answers

The elephant; 6.5 mph for 4 hours equates to 26 miles, while the Giraffe only covers 22 miles (2*11)

help please look at the image below.

Answers

Answer:

other 15/32

Step-by-step explanation:

Credit Hackmath.com

Answer:

other: 15/32

Step-by-step explanation:

5/8 * 3/4 = 0.46875 and thats 15/32 in fraction form

( 7.9 ) + 4.2 x ( 6.5 - 5.7 )

Answers

Answer:

11.26

Step-by-step explanation:

6.5 - 5.7 = 0.8Plug 0.8 in: (7.9) + 4.2 × (0.8)4.2 × 0.8 = 3.36Plug 3.36 in: 7.9 + 3.367.9 + 3.36 = 11.26

I hope this helps!

A triangular plot of land has sides of lengths 420 feet, 330 feet, and 180 feet. Approximate the smallest angle between the sides. The choices are rounded to the nearest degree.
A. 30 degree
B. 27 degree
C. 22 degree
D. 24 degree

Answers

Answer:

D. 24 degree

Step-by-step explanation:

Sides of the triangle are

a = 330 ft

b = 180 ft

c = 420 ft

From cosine rule we have

[tex]\angle A=\cos^{-1}(\dfrac{b^2+c^2-a^2}{2bc})\\ =\cos^{-1}(\dfrac{180^2+420^2-330^2}{2\times180\times 420})\\ =48.65^{\circ}[/tex]

[tex]\angle B=\cos^{-1}(\dfrac{a^2+c^2-b^2}{2ac})\\ =\cos^{-1}(\dfrac{330^2+420^2-180^2}{2\times 330\times 420})\\ =24.17^{\circ}[/tex]

[tex]\angle C=\cos^{-1}(\dfrac{a^2+b^2-c^2}{2ab})\\ =\cos^{-1}(\dfrac{330^2+180^2-420^2}{2\times 330\times 180})\\ =107.19^{\circ}[/tex]

The smallest angle in the triangle is [tex]\angle B=24.17^{\circ}[/tex].

Which of the following statements best explains the data collected by the student shown in the above table?

Answers

Answer:

i think its j

Step-by-step explanation:

On the coordinate plane, the segment from X(–
2,2) to Y(8,2) forms one side of △XYZ. The triangle has an area of 20 square units. Select all of the points where Z could be
0,6; 8,6; 4,2; 7,-2

Answers

The coordinates of Z will be  Z(8,6) and Z(4,2)

The formula for the area of triangle is given as :

               A = 1/2 * b * h

where , b = base

            h = height

We have been a ΔXYZ with coordinates of

    X(-2,2) and Y(8,2)

Also the given area is 20 sq. units

We need to find the coordinates of Z from the given question.

First we will find the length of XY which is

XY = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2}- y_{1}) ^{2} } \\[/tex]

     = √(8+2)² + (2-2)²

     = √100

     = 10 units

Let z= (0,6)

distance of YZ = √(0-8)² + (6-2)²

                        = √64+ 16

                        = √80

Area = 1/2 * 10* 4√5 = 20√5 ≠ 20

Let Z = (8,6)

distance of YZ = √(8-8)² + (6-2)²

                        = √16

                        = 4

Area = 1/2 * 10* 4 = 20

let Z = (4,2)

distance of YZ = √(4-8)² + (2-2)²

                        = √16

                        = 4

Area = 1/2 * 10* 4= 20

Let Z = (7,-2)

distance of YZ = √(7-8)² + (-2-2)²

                        = √1 + 16

                        = √17

Area = 1/2 * 10* √17 = 5√17 ≠ 20

Hence the coordinates of Z will be Z(8,6) and Z(4,2) as putting these value we get area equal to 20 square units.

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Please help I will mark brainliest

Answers

5 is congruent to 4 : Vertical Angle Theorem

7 is congruent to 3 : Corresponding Angles

4 is congruent to 1 : Alternate Interior Angle Theorem

-i have geometry too!!

Question 6
14.28 pts
A vacation home in Orlando, Florida, rents for $130 per day. The function (x) = 130x gives the cost of renting the
home for x days. What is the reasonable range of the function in this context?

Answers

The reasonable range of the given function is given by {130, 260, 390, 520, .......}.

What is a range?

A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range simply refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.

How to determine the reasonable range of the given function?

In order to determine the reasonable range of the given function, we would create an input and output table to model the relationship between the range and domain as follows:

x         130x         y___

1          130(1)       130

2         130(2)      260

3         130(3)      390

4         130(4)      520

Therefore, the reasonable range of the given function is given by {130, 260, 390, 520, .......}.

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Seven more than three times a number is twenty-eight.
Write the equation for this problem and solve it.

Answers

Answer:

7+3n=28 and the answer would be n=7

Step-by-step explanation:

7+3n=28 subtract 7 on both sides, that would leave 3n=21, divide 3 on both sides, the answer would be n=7 if I'm correct. I hope I helped.

TIMED PLEASE HURRY WILL MARK BRAINLIEST
In the world’s coldest freezer, sodium gas was cooled to a temperature of 78.5°C below zero and then cooled 194.65°C more. What was the new temperature of the sodium gas? –273.15°C –272.7°C –202.5°C –116.15°C

Answers

Answer:

The answer is A) –273.15°C, good luck!

Answer:

its a

Step-by-step explanation:

Cars and trucks are the most popular vehicles. Last year, the number of cars sold was 39,000 more than three times the number of trucks sold. There were 216,000 cars sold last year. Write an equation that can be used to find the number of trucks, t, sold last year.

Answers

Answer:

(39,000 + 3t = 216000.)  t = 59000

Step-by-step explanation:

(How to find t) First, subtract 39000 from 216000. Divide that by 3. Your answer is 59000.

Two cylindrical science beakers are similar. The smaller beaker has a radius of 2 centimeters and a height of 4 centimeters. Its volume is
about 50 cm. The larger beaker has a height of about 16 centimeters.
Approximately what is the volume of the larger beaker?
A. 3,200 cm
OB. 1,600 cm
OC. 800 cm
OD. 200 cm

Answers

Answer:

itsa 1200 B

Step-by-step explanation:

What is an equation of the line that passes through the points (-3, 3)
and (-6, 2)? Put your answer in fully reduced form.

Answers

Answer:

y=[tex]\frac{1}{3}[/tex]x +4

Step-by-step explanation:

This diagram shows a convex polygon.

What is the value of a?

*Picture Attached*​

Answers

Answer:

216?

Step-by-step explanation:

Anyone know the answer ?

Answers

Answer:

The area of the rectangle will be:

[tex]A=18x^6+48x^5+6x^4[/tex]

Step-by-step explanation:

Given

height or length = l = 6x³width = w = 3x³+8x²+x

We know that Area of the rectangle

A=wl

  = (3x³+8x²+x) × (6x³)

  [tex]=\left(6x^3\right)\times \:3x^3+\left(6x^3\right)\times \:8x^2+\left(6x^3\right)x[/tex]

  [tex]=3x^3\left(6x^3\right)+8x^2\left(6x^3\right)+x\left(6x^3\right)[/tex]

  [tex]=18x^6+48x^5+6x^4[/tex]

Thus, the area of the rectangle will be:

[tex]A=18x^6+48x^5+6x^4[/tex]

While riding in the car on the highway, Jason notices a sign that says the exit is one mile away and begins counting seconds
It took 60 seconds to get to the exit from that sign. How fast is in mph, is the car going?



11) There are 5 grams of sugar in one 1⁄2 cup serving of Stephanie’s cereal. Write an equation to express how many grams of sugar are in 3 cups of cereal.

Answers

Answer:

60 mph

Step-by-step explanation:

1 min to go 1 mile, 60 minutes per hour, 60 x 1=60

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