Two seventh grade math classes are competing in an academic challenge. Each class will randomly select one class member to compete each week. Each class has 26 students, and half of the students in each class are boys.

The classes want to design a simulation that will give the probability of both class members participating in the academic challenge being girls. Two possible simulations are given below.

Simulation 1: Flip a coin 26 times. If it lands on heads, count the flip as a girl. If it lands on tails, count the flip as a boy. Count how many times the coin lands on heads.

Simulation 2: Use two standard decks of cards. Randomly draw one card from each deck. Each diamond or heart drawn will represent a girl. Each spade or club drawn will represent a boy. After the two cards are drawn, they are replaced and the decks are shuffled. Count how many times a heart or diamond is drawn from both decks for 100 trials.
(Simuation 1 or Simulation 2) would be best to use to simulate a girl being randomly selected from each class to participate in the academic challenge. Based on this simulation, the probability that two girls will be selected is about (15%, 50%, 25%, or 75%).

Answers

Answer 1

The best simulation for the probability of selecting two girls is Simulation 2, which uses two standard decks of cards, with hearts and diamonds representing girls. The probability that both selected members are girls is 25%.

To simulate the probability that both class members participating in the academic challenge are girls, Simulation 2 would be more appropriate. Since each class has half boys and half girls, just like a standard deck of cards has half red suits (hearts and diamonds representing girls) and half black suits (spades and clubs representing boys), this simulation effectively mirrors the class demographics.

To calculate the probability of selecting a girl from both classes, consider the probability of drawing a heart or diamond from one deck, which is 1/2 or 0.5. Since the events are independent (what happens in one draw does not affect the other), we can multiply the probabilities for the two events: 0.5 (probability of a girl from Class A) * 0.5 (probability of a girl from Class B) = 0.25. Therefore, the probability of both selected members being girls is 25%.


Related Questions

67 ,73 ,77,82,86,,86,91,98 find the median

Answers

Hard to tell if a number is missing or not. We'll assume this is the entire data set.

The median of a set that has an even number of numbers is the average of the middle two after they are sorted into order.
.. (82 +86)/2 = 84

Your median is 84.

List 3 values that would make this inequality true 43 < y -30

Answers

43 < y - 30
add 30 to both sides
73 < y

y can be anything that is greater than 73
so it could be...
101, 74, 90, 75, 980767, 5674, etc.

Hope this helps!

Final answer:

To make the inequality 43 < y - 30 true, add 30 to both sides to get 73 < y. Any number greater than 73, such as 74, 80, or 90, will satisfy the inequality.

Explanation:

To find values that make the inequality 43 < y - 30 true, you simply need to add 30 to both sides of the inequality. This gives you:

73 < y

This means that any value greater than 73 will make the inequality true. Here are three examples:

y = 74 (since 74 is greater than 73)y = 80 (since 80 is greater than 73)y = 90 (since 90 is greater than 73)

You can choose any three numbers greater than 73, and they will satisfy the inequality 43 < y - 30.

What is the cube root of 27a^12

Answers

Find the cube root of the numbers and then of the letters. square root of 27 is three and of a^12 is a^4. The cube root is 3a^$

Answer:

[tex]3a^{4}[/tex] .

Step-by-step explanation:

Given : [tex]27a^{12}[/tex]

To Find:The cube root of [tex]27a^{12}[/tex]

Solution:

We are supposed to solve [tex]\sqrt[3]{27a^{12}}[/tex]

So, [tex]\sqrt[3]{27a^{12}}[/tex]

[tex]\Rightarrow (27)^{\frac{1}{3}}(a^{12})^\frac{1}{3}[/tex]

[tex]\Rightarrow (3^3)^{\frac{1}{3}}(a^{4})[/tex]

[tex]\Rightarrow 3a^{4}[/tex]

Hence The cube root of [tex]27a^{12}[/tex] is [tex]3a^{4}[/tex] .

solve the system x+3y=2 x+y=2

Answers

x +3y = 2

x+y = 2  (rewrite as x=2-y)

2-y +3y = 2
2 +2y = 2
2y = 0

y = 0

x +0 = 2
x = 2

x = 2, y=0


A _____ is a function that assigns a numerical value to every possible outcome in a sample space.

Answers

The answer is:
 
 A Ramdom variable is a function that assigns a numerical value to every possible outcome in a sample space.
 
 It is a number that represents a result of an event or a random experiment. This variable does not depend on other factors and its values ​​are random, without a specific order. For example: when you roll a dice, the number that you get is a random variable, because in 6 attempts you may get 1,6,4,2,2,5 and then, in another 6 attempts, you may get 3,3, 6,2,1,6.

Jill sold half of her comic books and then bought sixteen more. she now has 43. how many comic books did she begin with?

Answers

43-16 = 27

27 x 2 = 54

 she had 54

Answer: 54

Step-by-step explanation: 43-16=27 times 2 =54

A baseball team is recruiting a new pitcher. The recruiter wants to select a pitcher with the best strike out record. Which measure provides the best information to the recruiter? A. strike outs per inning pitched B. strike outs per inning C. strike outs per season D. strike outs per game played

Answers

C, if they want to look at the record of the player c is the best options

Answer:

Step-by-step explanation: strike outs per inning pitched

HELP 50 POINTS! What are the key features needed to graph a polynomial function? Explain how to find these key features to sketch a rough graph of a polynomial function.

Answers

Lines and plots because you need to form a shape

The explanation can be given down in details . Using this information

are the key features needed to graph a polynomial function and to find these key features to sketch a rough graph of a polynomial function.

To graph a polynomial function, you need to identify and understand its key features, which include:

Degree: The highest power of the variable in the polynomial determines its degree. For example, a polynomial of degree 3 would have terms like [tex]ax^{3} +bx^{2} +cx+d.[/tex] The degree influences the behavior of the polynomial, such as whether its ends point up or down.

Leading Coefficient: The coefficient of the term with the highest power of the variable. It influences the end behavior of the polynomial, determining whether the graph rises to the left and rises to the right or falls to the left and falls to the right.

Roots (Zeros): These are the values of [tex]x[/tex] for which the polynomial evaluates to zero. They are the points where the graph crosses the [tex]x[/tex]-axis.

Turning Points: Points where the graph changes direction. These occur at local maxima or minima and can be found by setting the derivative of the polynomial equal to zero and solving for [tex]x[/tex].

To sketch a rough graph of a polynomial function, follow these steps:

Determine the Degree and Leading Coefficient: Identify the highest power of the variable and the coefficient of that term.

Find the Roots (Zeros): Set the polynomial equal to zero and solve for

[tex]x[/tex]. These are the points where the graph intersects the x-axis.

Identify Turning Points: Find the critical points by taking the derivative of the polynomial, setting it equal to zero, and solving for

[tex]x[/tex]. Then, use the second derivative test or analyze the behavior of the function around these points to determine whether they are local maxima or minima.

Plot Key Points: Use the roots and turning points to plot key points on the graph.

Consider End Behavior: Determine whether the leading coefficient is positive or negative. If it's positive, the ends of the graph will point upwards; if it's negative, they will point downwards.

Sketch the Curve: Connect the plotted points smoothly, taking into account the behavior of the polynomial between the key points. Make sure to show any symmetry if present and adjust the curvature based on the behavior around turning points.

Optional: Use a Graphing Tool: If available, utilize graphing software or calculators to verify your sketch and refine it if necessary.

By following these steps, you can sketch a rough graph of a polynomial function and visualize its key features effectively.

COMPLETE QUESTION:

What are the key features needed to graph a polynomial function? Explain how to find these key features to sketch a rough graph of a polynomial function.

what is the value of x? |x|=16

Answers

the straight lines mean absolute value
 so x = -16 and x = 16
I think your answer is x=16 so, 16 has to = x

a skateboard that cost $53 was put on sale for 25% discount. What was the sale price of the skateboard?

Answers

53(.25)=13.25
53-13.25=39.75
The sale price was $39.75
53 is 100% of the price. If you remove 25% of the price you have 100%-25%=75%. so you multiply 53 by 75% or .75 therefore: 53*.75=$39.75

Ron is taking an inventory at his store. Based on previous sales, he predicted sales of 25 folders and 230 erasers. He actually sold 30 folders and 200 erasers. What is the percent error for the erasers?

Answers

Answer: There is 15% error for the erasers

Step-by-step explanation:

Since we have given that

Number of folders he predicted = 25

Number of erasers he predicted = 230

Total number of inventories he predicted is given by

[tex]230+25=255[/tex]

Number of erasers he actually sold = 200

Number of folders he actually sold = 30

Total number of inventories he actually sold is given by

[tex]200+30=230[/tex]

Error in estimation is given by

[tex]230-200=30[/tex]

Percentage of error for the erasers only  

[tex]\frac{30}{200}\times 100\\\\=\frac{30}{2}\\\\=15\%[/tex]

Hence, there is 15% error for the erasers.

Answer:

15 %

Step-by-step explanation:

A builder is installing a fence on all sides of a backyard. The yard is 50ft long and 40 ft wide. How much fencing will the builder need?

Answers

Hi there!

To solve this problem, we need to find the perimeter of the fence by adding all of the sides together. 

50 + 50 + 40 + 40 = 180

So, the perimeter, or amount of fencing needed, is 180 ft. 

Hope this helps!

I don't know what this is help

Answers

Try this solution:
S=S1+S2+S3, where S1;S2;S3 - areas of rectangles and the triangle.
S1=18*8=144.
S2=(18-4-4)*7=70.
S3=0.5*(18-4-4)*(22-8-7)=35.

S=144+70+35=249 cm²

Choose the two equations you would use to solve the absolute value equation below. Then solve the two equations. |2x + 5| = 3 A. 2x + 5 = 3 and 2x + 5 = –3; {–1, –4} B. 2x + 5 = 3 and 2x + 5 = –3; {1, –4} C. 2x – 5 = 3 and 2x + 5 = –3; {–1, 4} D. 2x – 5 = 3 and 2x + 5 = –3; {–1, –4}

Answers

To solve

|2x + 5| = 3

solve these 2 equations

2x + 5 = 3 and 2x + 5 = -3

Solution:

2x + 5 = 3 or 2x + 5 = -3

2x = -2   or   2x = -8

x = -1   or x = -4

The correct answer is choice A.

<5 and <6 are complementary angles m<5=13 what is the measure of <6

Answers

The measure of angle 6 can be found by subtracting the measure of angle 13 from 90.

90-13 = 77

Helps with this math problem please

Answers

First we are going to express both equation in terms of  [tex]y[/tex] to compare their slopes:
For our first equation:
[tex]-x=1-y[/tex]
[tex]-x-1=-y[/tex]
[tex]y=x+1[/tex]
For our second equation:
[tex]-1+y=x+2[/tex]
[tex]y=x+3[/tex]
So now we have our system of equations in terms of y:
[tex] \left \{ {{y=x+1} \atop {y=x+3}} \right. [/tex]
Notice that the slope, the coefficient of [tex]x[/tex], in both equations is the same: 1, and if tow linear equations have the same slope, they are parallel.

We can conclude that we can classify the system of equations as parallel.

Construct arguments-Janie served four same size pizzas. Explain how to find how many slices of pizza served if the angle for each slice turns through a right angle

Answers

The sum of the central angles of the pizza slices will be 360°. If N pizza slices are cut, each with a central angle of 90°, you have
.. N×90° = 360° . . . . . . the relationship between slices and the whole

Solve this equation for N to find the number of slices.
.. N = 360°/90° . . . . . . divide by the coefficient of N
.. N = 4

The distance between major cracks in a highway follows an exponential distribution with a mean of four miles. (a) what is the standard deviation of the distance between two major cracks

Answers

For an exponential distribution, the standard deviation is equal to the mean.

(a) the standard deviation is 4 miles.

The amount of a chemical solution is measured to be 2 liters. What is the percent error of the measurement?

Answers

The amount of a chemical solution is measured to be 2 liters. What is the percent error of the measurement?

25%


When filled, a particular round balloon has a diameter of 14 inches. What is the approximate volume of air needed to fill this balloon?

Answers

Hi the answer you are looking for is 1436.76.

Hope this helps! Study on!

Answer:

the answer is  1,437

Step-by-step explanation:

2.4.5 journal: graphs of exponential functions

Answers

This is a net diagram of a room showing the floor and 4 walls (ceiling not included).
What is the measurement at x? m

51 divided by 3 is k

Answers

51 ÷ 3 = 17
K is 17

Have a nice day!

51 divided by 3 is k, the value of k is 17.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

51 divided by 3 is k

51/3=k

17=k

Therefore, by algebra the answer will be 17

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ5

Two people taking the test are chosen at random. what is the probability that at least one of them scores more than 500 points?

Answers

It depends what their IQ level is.

Tom was saving $3000 for a trip. He initially deposited $200 in a savings account and then deposited a fixed amount every month in the account for the next 5 months. Then he received a check in the mail. The check was three times as much as the total amount he had saved so far. When he deposited the check in his savings account, he had $200 more than he needed. What was the fixed amount he deposited in the savings account during the 5 months?

Answers

The answer is $120. To determine this, you will represent the situation as an equation:

4(200 + 5x) = 3200. I came up with this because it says he started with 200 and added a fixed amount every month for 5 months (5x). If the check was 3 times the amount he already had saved, then he has 4 times what he started with.

His goal was $3000, but he has $200 more than that, so $3200 would be the amount he has.

I have attached the work showing how to solve for x, the amount he depositors each month.

A sales clerk earns a 3% comminsion on each sell. What is the comminsion earned on a sale of $4450?

Answers

$133.5 because 3% of 4450 is 133.5

what is -10-6=?. Please I need an answer and it's my grade

Answers

-10 -6= -16
Because it’s like an opposite. 10+6=16 just add the - sign.
r=-4. -10-6 is -16.:)

X-2y=6 2x+4y=12 please help me with this question! Appreciated

Answers

the coordinates are (6,0)
hope it helps
please mark as brainliest

factor 64a^2b^36-1
1. (8ab6 + 1)(8ab6 – 1)
2. (8ab18 – 1)
3. (8ab18 + 1)(8ab18 – 1)
4. (8ab6 – 1)

Answers

[tex] 64a^2b^{36} -1 [/tex]

[tex]= (8ab^{18})^{2} - (1)^2 [/tex]

[tex]=(8ab^{18} - 1)(8ab^{18} + 1)[/tex]

----------------------------------------------------------
Answer: (8ab¹⁸ - 1)(8ab¹⁸ + 1) (Answer 3)
----------------------------------------------------------

p(3,5) and q(7,-1) are the end points of a diameter of a circle. what is the length of a radius of the circle

Answers

[tex]d= \sqrt{(7-3)^2+(-1-5)^2} = \sqrt{16+36} = \sqrt{52} =2 \sqrt{13} \\ \\ r= \frac{d}{2}= \frac{2 \sqrt{13} }{2} = \sqrt{13} [/tex]

the length of a radius of the circle is √13

The contour plot of is shown below. determine if the given quantity in each part is positive, negative, or zero.

Answers

There is no contour plot shown below.
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