A math teacher randomly selects one student in a class to write a probability question on a chalkboard. The teacher then randomly selects a different student to answer the probability question. There are 18 boys in the class, and the ratio of boys to girls is 3:5. Find the probability that the teacher selects a girl first and a girl second. Write your answer as a decimal rounded to the nearest thousandth.

Answers

Answer 1

Answer:

The probability to the nearest thousandth is 0.386

Step-by-step explanation:

Firstly, we will need to know the number of girls and the total number of students in the class.

We have the ratio as 3:5 for boys and girls with the number of boys being 18

What we have is thus;

3:5 = 18:g

3/5 = 18/g

3g = 90

g = 90/3

g = 30 girls

Thus, we have 18 boys and 30 girls with a total of 48 students.

The probability that the teacher selects a girl to write the question on the board is 30/48 = 5/8

Now, we intend selecting another girl to answer the question. This is like a probability without replacement. So this means that the number of girls we have now is 29 and the number of students we are selecting from is 47 students

Thus, the probability of selecting a girl to answer the question becomes 29/47

The joint probability is thus; 29/47 * 5/8 = 145/376 = 0.3856

To the nearest thousandth, we have 0.386


Related Questions

What is the value of x in the equation in (x+6)- in (2x-1)

Answers

Answer:

x = 7

Step-by-step explanation:

(x + 6) - (2x-1)

= x - 2x + 6 + 1

= -x + 7

x = 7

what is 24% of 135??

Answers

Answer:

32.4

135 x 24% = 135 x 0.24 = 32.4

Step-by-step explanation:

Answer:

32.4

Step-by-step explanation:

135 times 24 dived by 100

37 points! The square root of 83 can be plotted on the number line below.

Answers

Answer:

9.1 is the nearest tenth

9.11 to the nearest hundredth

just slightly to the right of 9.1

Step-by-step explanation:

sqrt(83)

sqrt(81) = 9

So we know that it is slightly greater than 9

9.1*9.1 =81.81

9.2*9.2=84.64

9.1 is closer

9.11 * 9.11 =82.9921

9.12 * 9.12 =83.1744

9.11 is closer

Answer:

9.1 is the nearest tenth

9.11 to the nearest hundred

to the right of 9.1

Step-by-step explanation:yi did it on i ready6

The expression of 20-31 gives us the distance between the numbers 20 and 31 write a similar expression for the distance between -5 and -15 and simplify it.

Answers

Answer:

After simplifying, our answer is 10

Step-by-step explanation:

20-31 gives the distance between 20 and 30

Now, for -5 and -15

The similar expression to write will be -5-(-15)

Simplifying this, we have;

That would be -5+15 = 10

63x−8≤23 OR −4x+26≥6

Answers

Answer:

63x-8<23

63x<23+8

63x < 31

63. 63

x < 0.492

Mario está aprendiendo a manejar un auto. El lunes 6 de abril ,el práctico 2 horas y cada día siguiente práctico 30 minutos más que el día anterior. ¿Cual fue la fecha del día que práctico 5 horas?

Answers

Answer:

Domingo 12 de abril

Step-by-step explanatio

El primer dia Lunes fueron 2 horas Martes fueron 30 munitos mas, ya son 2:30  Miercoles fueron otros 30 minutos mas, son 3 horas. Jueves y Vierns es una hora mas, porque cada dia es 30 minutos. que ya son 4 horas. y el sabado son 30 mas, y el domingo el practica 5 horas

Need question help here!

Answers

Answer:

C

Step-by-step explanation:

What are the three cues to remember for dribbling with mature form in basketball?

Answers

Answer:

Thee three cues are

1. Control the ball with he finger-pads

2. Always dribble at waist level

3. One's eyes should be up to see the team members and defenders while dribbling

Step-by-step explanation:

To dribble a basketball requires, keeping one's head up to see the on going game around. Endeavor to shield defenders from the ball with the aid of the non dribbling arm and body

When bouncing the ball, keep it low, and extend the arms and snap the wrists, while controlling the ball with your fingers rather than the palm

The three cues are

1. Handle the ball with the finger pads, not with the  palm of the hands nor with the fingertips

2. Dribbling should be done only at the waist level  

3. When dribbling a ball, one should keep his eyes up to see the game ongoing.

I am not sure if this is right can someone check it ASAP please

Answers

Answer:

x=10

Step-by-step explanation:

3(4x-12) = 84

Divide each side by 3

3/3(4x-12) = 84/3

4x-12 =28

Add 12 to each side

4x-12+12 = 28+12

4x= 40

Divide each side by 4

4x/4 = 40/4

x = 10

Question 3- Please help. Find the area of the sector for the image below:

Answers

Answer:

The answer is 16.8 cm^ 2.

A cylinder has a base diameter of 14m and a height of 10m. What is its volume in cubic m, to the nearest tenths place?

Answers

Answer:

  1539.4 m³

Step-by-step explanation:

The volume of a cylinder is given by the formula ...

  V = πr²h . . . . . where r is half the diameter and h is the height

__

Filling in the given values, we find the volume to be ...

  V = π(7 m)²(10 m) = 490π m² ≈ 1539.4 m³

The volume is about 1539.4 m³.

Eduardo is filling containers with water to make lemonade. He filled 4 containers in 29 minutes, and each container holds 8.7 gallons. At what rate did Eduardo fill the containers?

Answers

Answer: 7.25 minutes per container.

Step-by-step explanation:

Your looking for a ratio of time per container. 29/4 is the given ratio it was simplified to 7.25/1. Or simply 29 divided my 4.

6) Troy has a garden that is 17 feet by 14 feet. He is planning on planting some
bulbs in the garden. Each bulb requires 2 square feet of space. How many bulbs
can Troy plant in the garden? *
119

Answers

Answer:

140

Step-by-step explanation:

first multiply 17 by 14 to get 238 then dived 238 by 2 to get 140

Which expression is equivalent to 2(5 − 3x)?

Answers

Answer:

10-6x

Step-by-step explanation:

Hope this helped, have a great day! (mark brainliest if you want to help XD)

Answer:

10 - 6x

as 2 x 5= 10

and 2 x 3 = 6

10 - 6x

Step-by-step explanation:

Jason runs 440 yards in 75 seconds.at this rate,how many minutes does it take him to run a mile​

Answers

Answer:

5 minutes

Step-by-step explanation:

Do a proportion

440/75= 1760/x

cross multiply

440x=1760(75)

simplify

132000/440

I need help plz help me

Answers

Answer: 2538

Step-by-step explanation:

12*21/2

126

126/1*41/2

2538

Answer:

l*b*h=2583m²

Step-by-step explanation:

note no need units, so no need metre square or m²

At the end of a snow storm, Caroline saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Caroline's lawn, in inches, can be modeled by the function S(t)=-0.75t+15,S(t)=−0.75t+15, where tt is the time, in hours, after the snow stopped falling. What is the slope of the function and what is its interpretation in the context of the problem?

Answers

Answer:

-15

Step-by-step explanation:

A car used 1/64 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can a car travel using 1 gallon of gas?

Answers

Answer:

16 miles

Step-by-step explanation:

In order to find one gallon of gas, you multiply the 64 by 1/64 which will get you to 1 whole. Now you multiply the 64 by the 1/4 miles which will give you 16 miles.

The two-way table of column relative frequencies below shows data on whether or not a person has internet access and their preferred method to communicate with friends.

Based on the data, which of the following statements must be true?

(Choice A)
A person who prefers to communicate with friends in person is more likely to have no internet access than to have internet access.

(Choice B)
A person with internet access is more likely than a person without internet access to prefer the wired telephone to communicate with their friends.

(Choice C)
A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.

(Choice D)
More people without internet access prefer using social networking than people with internet access.

Answers

Answer: c

Step-by-step explanation: 54% of people with internet access prefer text messaging, while only 31% of people without internet access prefer text messaging.

Based on the data, Option (c) statements must be true. "A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends."

What is internet speed?

It is Mbps or kbps of data packets that can be transferred within a specified time.

Because 54% of the people who have internet access uses the text messaging method While 31 % people with no internet access uses the text messaging method.Thus A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.

Learn more about internet speed,

https://brainly.com/question/13308791

#SPJ2

Maria lines up fabric squares in rows to make a quilt. She uses the same repeating pattern for all the rows. The rule is "Red, White, Blue, White, Floral." If there are 125 quilt squares in the quilt, how many floral quilt squares will Maria need? Enter your answer in the box.

Answers

Answer: 15

Step-by-step explanation:

the patern is

red

white

blue

white

floral.

So in each group of 5, we have one floral quilt square.

now, in 125 quilt squares, we want to find the number of groups of 5 that we can make with thos 125 quilt squares.

This is 125/5 = 15

So we have 15 groups of 5 quilt square.

And we know that in each of those groups, we have one floral quilt square.

So we have a total of 15*1 = 15 floral quilt squars.

Answer: 25

Step-by-step explanation: 125 quilt square in group of 5

125/5 = 25

Each group of 5 os 1 floral quilt so there are 25 floral quilts in total

Squaring both sides of an equation is irreversible. Is Cubing both sides of an equation reversible? Provide numerical examples to help support your answer.

Answers

Answer:

Cubing both sides of an equation is reversible.

Step-by-step explanation:

Squaring both sides of an equation is irreversible, because the square power of negative number gives a positive result, but you can't have a negative base with a positive number, given that the square root of a negative number doesn't exist for real numbers.

In case of cubic powers, this action is reversible, because the cubic root of a negative number is also a negative number. For example

[tex]\sqrt[3]{x} =-1[/tex]

We cube both sides

[tex](\sqrt[3]{x} )^{3} =(-1)^{3} \\x=-1[/tex]

If we want to reverse the equation to the beginning, we can do it, using a cubic root on each side

[tex]\sqrt[3]{x}=\sqrt[3]{-1} \\\sqrt[3]{x}=-1[/tex]

There you have it, cubing both sides of an equation is reversible.

PLEASE HELP I"M BEING TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!




Which expression is equivalent to log Subscript 12 Baseline StartFraction x Superscript 4 Baseline StartRoot x cubed minus 2 EndRoot Over (x + 1) Superscript 5 Baseline EndFraction?

4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x times 1)

4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline StartFraction x cubed Over 2 EndFraction minus 5 log Subscript 12 Baseline 1

log Subscript 12 Baseline 4 x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x) + 1

4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)

Answers

Answer:

[tex]D)4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]

(4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)

Step-by-step explanation:

Given the expression:

[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}[/tex]

first apply the division law of logarithm:

[tex]log_{a}x/y=log_{a}x-log_{a}y[/tex]

[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}=log_{12}x^4\sqrt{x^3-2}-log_{12}(x+1)^5[/tex]

Next, by addition law:[tex]log_{a}xy=log_{a}x+log_{a}y[/tex]

[tex]=log_{12}x^4+log_{12}\sqrt{x^3-2}-log_{12}(x+1)^5\\\\Log a^m=mLog a, Log \sqrt{x}=log x^{1/2}\\\\ =4log_{12}x+log_{12}(x^3-2)^{1/2}-5log_{12}(x+1)\\\\=4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]

Answer:

Its D on edge

Step-by-step explanation:

what’s the answer for this question

Answers

Answer:

What is the perimeter? 89 cm

Step-by-step explanation:

(35.2 + 11.9) + (35.2 + 12.7)

= 47.1 + 47.9

= 89 cm

Hi there! I need some help with this question, thx!


In the table, Pattern A uses the rule "add 5" and Pattern B uses the rule "add 15."

Pattern A is 0, 5, 10, 15, 20
Pattern B is 0, 15, 30, 45, 60

Which statement is true?


A. Every term in Pattern B is 3 times the corresponding term in Pattern A.

B. Every term in Pattern B is 10 more than the corresponding term in Pattern A.

C. Every term in Pattern B is 5 times the corresponding term in Pattern A.

D. Every term in Pattern B is 13 the corresponding term in Pattern A.

Answers

Answer:

sky im going with A

Step-by-step explanation:

A I took the test it is correct

2x-y<5
[tex]2x - y \leqslant 5[/tex]

Answers

Answer:

Step-by-step explanation:

Please be sure to include the directions when you post a question.  I will assume you want to graph this inequality 2x - y ≤ 5.  

2x - y = 5 is a linear function whose graph is that of a straight line.  Because of the ≤ sign, the solution set includes all points on this straight line PLUS all  points below it.

x - intercept:  Set y = 0 in 2x - y = 5 and solve the resulting equation for x:

2x - 0 = 5.  Then x = 5/2, and the x-intercept is (5/2, 0).

y-intercept:  Set x = 0 and solve for y:  2(0) - y = 5:  y = -5.  Then the y-intercept is (0, -5).  

Plot both points (5/2, 0) and (0, -5).  Draw a solid line through them.  Shade the area BELOW this line.

how many grams each of a 10% salt solution and a 5% salt solution must be mixed in order to obtain 400g of an 8% solution?

Answers

I dont want to give you the exact equation so u wont be copying- here is an example.

let x=grams of salt that you already have

let y=grams of salt that need to be added

let z=total amount of salt in the solution after adding salt

We know that salt makes up 25% of the 400g solution, and that 25% can also be written as .25. Thus, we can write an equation to determine x's value:

x=.25*400g

x=100g

Therefore, there are 100 grams of salt already in the solution.

Now that we've determined x's value, we'll bring z into the equation. There are two ways to calculate z. z is equivalent to the sum of x and y. Remember, x is equal to 100 grams. So, z's equation is as follows:

z=100g+y

The other way to calculate z is as a percentage of the final solution. As the question states, we want the final solution to have a salt content of 40% (which we can write as .40). The final amount of solution can be written as below:

400g+y=total amount of solution after adding salt.

This is because we are adding y (the amount of salt needed to bring the salt content to 40 percent)to the amount of solution which we already have.

Therefore, the second way to express z is below:

z=.40*(400g+y)

After we have two equations for z, we can set them equal to each other as follows:

100g+y=.40*(400g+y)

We then can distribute the .40 over the parenthesis.

100g+y=160g+.40y

And then we can subtract 100 grams from both sides of the equation.

y=60g+.40y

Next, we subtract .40 y from both sides of the equation to get y on one side.

.6y=60g

Finally, we can divide both sides by .6 to isolate y.

y=100g

Therefore, you must add 100g of salt to the solution to make it 40 percent salt.

DID I DO IT RIGHTT?? pls tell me

A bicycle shop is selling $500.00 bikes. If the sales tax is 7%, what will the final cost of the bike be?

Answers

Answer:

The final cost of bike = $535.00

Step-by-step explanation:

Cost of bikes =  $500.00

If the sales tax is 7%, the amount paid as tax will be 7% of the total selling price of bike;

7% of $500.00

= [tex]\frac{7}{100} * 500\\[/tex]

= $35

The final cost of bike = initial selling price + amount paid as tax

The final cost of bike  = $500.00 + $35.00

The final cost of bike = $535.00

16x^4y^2(9x^3y^4) fully simply

Answers

Answer:

[tex]=144x^7y^6[/tex]

Step-by-step explanation:

[tex]16x^4y^2\left(9x^3y^4\right)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\x^4x^3=\:x^{4+3}\\=16y^2\cdot \:9x^{4+3}y^4\\\mathrm{Add\:the\:numbers:}\:4+3=7\\=16y^2\cdot \:9x^7y^4\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\y^2y^4=\:y^{2+4}\\=16\cdot \:9x^7y^{2+4}\\\mathrm{Add\:the\:numbers:}\:2+4=6\\=16\cdot \:9x^7y^6\\\mathrm{Multiply\:the\:numbers:}\:16\cdot \:9=144\\=144x^7y^6[/tex]

Answer:

Step-by-step explanation:

2 x(4−3xy^2)/y

A dvd movie originally cost $24.99. It’s current price is $19.99. What is the percent of change rounded to the nearest percent?

Answers

Answer:

I think it would be 20%.

Step-by-step explanation:

$5 was taken off the original price, which is about 1/5 of $24.99. So, since 1/5 as a percent is 20%, I think the answer would be 20%.

I agree it would be 20%

Which is the solution to
2x − y = 1
4x + y = 11 ?
A) (−2, 3)
B) (2, 3)
C) (3, 2)
D) (3, −2)

Answers

Answer:

B

Step-by-step explanation:

2 x 2 = 4 - 3 = 1

4 x 2 = 8 + 3 = 11

Other Questions
The distance from Pensacola, Florida to Tallahassee, Florida on a map is 8 inches, which represents 200 miles. How many miles is it from Pensacola to Miami if the distance on the map measures 27 inches? Harper went to the candy store and bought 3/8 of a pound of candy. If 1/2 of Harper's candywas chocolate, how many pounds of chocolate candy did Harper buy?Write your answer as a fraction or as a whole or mixed number. Round your answers to one decimal place, if necessary.A baseball team scored the following number of runs over a 10-game period:4 10,7,9,3, 11,4,9,1.6.Find the mean, median, and range.The mean isThe median isThe range is A man came to the King and asked, "King, let me pick an apple from your garden." The King agreed to the request so the man went to the garden and saw that it was fenced off with three fences and that there was a gate in each fence. A guard stood next to each gate. "The King has allowed me to pick an apple from the garden," said the man to the first guard. "Go ahead," answered the guard, "but when you exit give me half of all the apples that you have, plus one more." The other two guards each said the same thing to the man. How many apples should the man pick in order to have one apple left for himself after he gives each of the guards all the apples they demanded? What is the mass of 3.00 moles of carbon Help!!!!!!Describe the process you can use to solve a system of equations using a matrix. perform the following operations on matrices (1 8 0 7) (7 6 7 4) = ( ) Members of a soccer team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it turns up tails less often than it should if it were fair. The coach of the team decides to flip the coin 100 times and count the number of tails. His trial results in 35 tails. He decides to carry out a significance test. What is the p-value he obtains and the general conclusion that can be made at a 99% significance level?A.) The p-value is 0.0013. He should reject the null in favor of the alternative.B.) The p-value is 0.0013. He should fail to reject the null.C.) The p-value is 0.9987. He should reject the null in favor of the alternative.D.) The p-value is 0.9987. He should fail to reject the null.E.) There is not enough information provided to calculate the p-value and make a conclusion. Two sides of a triangle are as follows: 2 centimeters and 5 centimeters. Describe the possible lengths of the third side A science class has 3 girls and 7 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys? What is the greatest common factor of 20x^2,10x, 15 Sarah works in a coffee house where she is responsible for keying in customer orders. A customer orders snacks and coffee, but later, cancels the snacks, saying she wants only coffee. At the end of the day, Sarah finds that there is a mismatch in the snack items ordered. Which term suggests that data has been violated? Which of the following statements generates the greatest amount of disagreement among economists? a. Increases in the money supply shift aggregate demand to the right. b. In the long run, increases in the money supply increase prices, but not output. c. Recessions are associated with decreases in consumption, investment, and employment. d. Government should use fiscal policy to try to stabilize the economy. The population of the United States, u, is about one hundred thousand less than the population of India, i. Write and equation that represents the two populations. Which government legislation established a federal income tax in 1913?A.the Sherman Antitrust ActB.the Interstate Commerce ActC.the Sixteenth AmendmentD.the Economic Opportunity Act Cam rode her bike 5 times as far as Dante did. Dante rode 197 meters farther than Michael did. Cam rode 10.25 kilometers. How many meters did Michael ride? Complete the explanation of how you got your answer. Insert a comma wherever it is needed.Down the street there are more shops. Throughout the rest ofthe town the shops will be closed. On Rectangle QRST below, if Q is located at -6,-1 and S is located at 1, 5, find RT California's constitution outlines the structure of government 1 point at the municipal level only. at the local level only. at the State level only. at both the State and local levels 3. Trees, bananas, skateboards and pancakes are all solids. They haveatoms that are closely packed together and don't move around verymuch. Solids also have definite shape, mass and volume. "Definite"means that it doesn't easily change. When you pour cereal into a bowl,the pieces of cereal don't change shape. But when you pour milk into abowl, the milk takes the shape of the bowl. That's because cereal is asolid.AWhich of the following is an example of a solid?A. applesauceCorange juiceB. watermelonD. berry smoothie