Problem
There are 7 students in a class: 2 boys and 5 girls.
If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl?

Answers

Answer 1

Answer:

2/7

Step-by-step explanation:

The total number of possibilities is 7 * 6 * 5

The number of possibilities for all girls is 5 * 4 * 3

so the probability is:

[tex]\frac{5*4*3}{7*6*5} \\\frac{4*3}{7*6} \\\frac{12}{42} = \frac{2}{7}[/tex]


Related Questions

Can 3 over 11/2 and 6 over 11 be a proportion?? Please explain!!! ASAP

Answers

Answer:

Yes! these are in the same proportion

Step-by-step explanation:

Lhs = 3 over 11/2 = 3/(11/2)

=>3× (2/11)

=> 6/11

=> Rhs

i need your guys help i don’t know nun abt this at all

Answers

Answer:

1) 2² + 5² = ?²

2) 6² + ?² = 9²

3) 8² + 16² = ?²

4) 8² + ?² = 10²

Step-by-step explanation:

Because these are all right triangles, we can use the Pythagorean Theorem:

a² + b² = c²

Where c is the hypotenuse, the longest side of the triangle. It can be identified as being across from the right angle of the right triangle.

The legs are the two other sides of the triangle and they are interchangeable when placed in the Pythagorean Theorem.

write the inequality in words 1/3n-10>22​

Answers

A third n minus 10 greater than twenty two

Answer:

10 is subtracted from a third of a number is greater than 22

Step-by-step explanation:

1/3n-10>22​

you subtract 10 from 1/3n

1/3 - 10 is greater than 22

so:

10 is subtracted from a third of a number is greater than 22

i hate geometry if someone could help me i would appreciate it so much

Answers

Answer:

Step-by-step explanation:

150 + 150 + x = 360

x = 60

∠ADC = 60°

they are the same

help ASAP ill mark brainliest. The answers are the 4 other images attached

Answers

Answer:

Step-by-step explanation:

The can find this my matching each number of the chart with each diagram

It can't be the first one because the 17-19 isn't on 8, it is on 4

It can't be the second one because the 20-22 isn't on 7, it is on 9

It is the third one because all the number on the chart is matching with the numbers on the diagram

It can't be the fourth one because the 17-19 isn't on 8, it is on 4

The area if a rectangular frame is 32 square inches. The perimeter of the frame is 24 inches. Which shows the correct dimensions of the frame?

Answers

Answer:

8 x 4

Step-by-step explanation:

Lets say the length is x and the width is y.

xy = 32

2x + 2y = 24

Rearranging the second equation, we get:

2x = 24 - 2y

/2         /2

x = 12 - y

substitute into the first equation

y(12 - y) = 32

12y - y^2 = 32

-32             -32

-y^2 +12y - 32 = 0

x -1                      x -1

y^2 - 12y + 32 = 0

(y - 8)(y - 4) = 0

y = 8 or 4

substitute into x = 12 - y.

x = 12 - 8 = 4

x = 12 -4 = 8

so the correct dimensions are 4 x 8, as either x = 4 and y =8, or x = 8 and y = 4.

Hope I helped!

a concession stand sells bags of popcorn for 3$ and cotton candy for 2$. a customer purchased bags of popcorn as well as cotton candy and spent 12$ . What is the equation that models this situation

Answers

Answer:

x3+y2=12

Step-by-step explanation:

I don't have a step by step explanation, hope this helps!!!

You want to buy a new car. You can afford payments of $300 per month and can borrow the money at an interest rate of 5.2% compounded monthly for 5 years.

Answers

Answer:

$367.17

Step-by-step explanation:

we are find the cost of the car after 5 years

Using the compound interest formula;

A = P(1+r/n)^nt

Given

Principal P = $300

rate r = 5.2% = 0.052

Time t = 5years

Time of compounding n = 1/12 (monthly)

Substitute into the formula

A = 300(1+0.052(12))^5(1/12)

A = 300(1+0.624)^0.4167

A = 300(1.624)^0.4167

A = 300(1.2239)

A = 367.17

hence the amount of the car after 5years is $367.17

Solve the equation.
Start Fraction b over negative 6 End Fraction = –3

Answers

Answer:

Step-by-step explanation:

b/-6=-3

b=18 (x -6 on both sides)

Graph the equation y + 4 = .

Answers

Answer:

just go to Desmos graphing calculators

Step-by-step explanation:

and that all

With out a second variable (ie., y+4=x) the assumption is that y+4=0. Therefore, subtracting 4 from both sides results in y=-4. This would be a horizontal line crossing the y axis at -4.

Need help plz
What number is half way between 3 and 4?​

Answers

Answer:

um 3.5?

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

if I'm understanding the question correctly, that is the answer

!!HELP ILL MARK BRAINLIST !!Write an expression for the area of the square four by combining the areas of the four triangles and two squares

Answers

Answer:

yeetus

Step-by-step explanation:

Question and answer options attached. Please help, thanks!

Answers

Answer:

there is no question but i think out of a,b,c and e i think b or c

Step-by-step explanation:

sorry

Lucas is making 12 jumbo muffins to sell at his class bake sale . He has 2 bowls full of batter what fraction of a bowl of batter should Lucas put in each muffin cup ?

Answers

Answer:

1/6 of a bowl of batter

Step-by-step explanation:

Find out how much muffins is needed for 1 bowl.

2 bowls = 12 muffins

1 bowl = 12 ÷ 2 = 6 muffins

Since 1 bowl can fill 6 muffins, it's 1/6

can you help me. What is 2x-14

Answers

Answer: 2(x-7)

Step-by-step explanation: 2x−14

2x−14

=2(x−7)

Answer:

-8

Step-by-step explanation:

so first start off by doing 2x(-14)

this will get us to our answer -8.

It's pretty easy, try using a calculator to help if needed.

☺️

hi please help i’ll give brainliest please

Answers

Answer:

45

Step-by-step explanation:

The answer would be 45

5/9 if a number is 65 find the number​

Answers

Answer:

117

Step-by-step explanation:

Required number

[tex] = 65 \times \frac{9}{5} \\ \\ = 13 \times 9 \\ \\ = 117[/tex]

If a line goes through Point (1,2) and has a slope of 2 then find R if the line also goes through the point (r,8)

Answers

Answer: r = 4

Step-by-step explanation:

See the image.

What is the experimental probability that a coin toss results in two heads showing?

Answers

Answer:

you have a 0.25 chance

Step-by-step explanation:

Each coin has a 0.5 so to get two on heads is 0.25 sorry I don't have time for a detailed reason

Hsedhjgffgjljgdsdfhkmfsdgioysdgkigdd

A cone has a height of 20 meters and a radius of 10 meters. What is its volume?
Use a 3.14 and round your answer to the nearest hundredth.

Answers

Volume of a Cylinder: In geometry, a cylinder is a three-dimensional shape with a circular base, a circular top and straight sides. It is the solid figure that you get when you rotate a rectangle about one of its sides. In most cases when we talk about the volume of a cylinder, we are talking about how much liquid it can hold.

The strictly correct way of saying it is "the volume surrounded by a cylinder" - the amount of liquid it holds. But many textbooks simply tell "the volume of a cylinder" to mean the same thing.Step-by-step explanation:

I hope it helps

What is a reason to include the image of a setting sun in this advertisement? a to provide more color to the advertisement b to make the sale more appealing to shoppers c to add something interesting to the ad d to reinforce the idea that the season is ending

Answers

Answer:

The reason is to allow others to explore and have an image to reference to.

Step-by-step explanation:

Answer:

B, to make the ad more appealing

Kiran mixes \frac{3}{4}
4
3

cups of raisins, 1 cup peanuts, and \frac{1}{2}
2
1

cups of chocolate chips to make trail mix. How much of each ingredient would he need to make 10 cups of trail mix? Explain your reasoning.

Answers

Step-by-step explanation:

7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.

Step-by-step explanation:

We are given that,

The amount of ingredients needed for the trail mix are,

Raisins = \frac{3}{4}

4

3

cup

Peanuts = 1 cup

Chocolate chips = \frac{1}{2}

2

1

cup

Since, Kiran needs to make 10 cups of the trail mix.

The amount of ingredients needed will be,

Raisins = \frac{3}{4}\times 10

4

3

×10 = \frac{30}{4}

4

30

= 7.5 cups

Peanuts = 1 × 10 = 10 cups

Chocolate chips = \frac{1}{2}\times 10

2

1

×10 = 5 cups

Hence, the ingredients needed are 7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.

4 1/4 not sure tho i got it from internet

first person to answer all of these questions gets brainliest, also upping points to 50

Answers

Answer:

#1

Ratio of 45-45 and 30-60-90 triangles

45-45

a : b : c = 1 : 1 : √2

30-60-90

a : b : c = 1 : √3 : 2

a)  

b = 10/2 = 5a = 5√3

b)

k = l = 6√2/√2 = 6

#2

Find x

7/x = cos 66°x = 7/ cos 66°x = 17.2

Find y

y/x = sin 66°y = 17.2 sin 66°y = 15.7

#3

a) sin A = 5/13

b) cos A = 12/13

c) tan A = 5/12

d) A = arcsin (5/13) = arccos (12/13) = arctan (5/12) = 22.6°

The popularity of the Gutenberg press in Europe made books more accessible and motivated people to want to learn how to write. paint. read. travel.

Answers

Answer:

read.

Step-by-step explanation:

The popularity of the Gutenberg press in Europe made books more accessible and motivated people want to learn how to READ.

This is evident in the fact that Johannes Gutenberg who was widely known as a printer was famous for inventing a means of producing books at a cheaper cost and portable size that is also durable and easy for distribution.

The result of this invention led to an increase in the availability of books and thereby enhance and motivate more people, not just the elites, to have access to books and READ them.

Answer:

Read

Step-by-step explanation:

cause

Can someone please help me with this find the unit rate of these 2 items cost per item which is these 2 bag of chips set it up please and show work I’ll mark brainliest

Answers

The answer would be $3 but to show work you would put 6=2x then divide everything by 2 and get 3=x

How many sides does the thirtieth figure have?

Answers

Answer:

8.

Step-by-step explanation:

multiples of 3 for every shape.

answer: 7 sides

step by step:
first 3 have 3 sides (3 shapes)
second set of 3 have 4 sides (6 shapes)
the next set has 5 (9 shapes)
the next set has 6 (12 shapes)
the next set has 7 (the 13th shape would be in this set)

PLS ANS THIS QUESTION PLS

Answers

Answer:

6x^2 + 2xy -9y^2 +3y +10

Step-by-step explanation:

yes

help is this right ? pleasee helppppp ????​

Answers

Answer:

yes you are correct

Step-by-step explanation:

YAY THANK YOU IM NOW AN ACE

if the income tax rate is 4%, determine the amount of income tax paid on income of $20,000.​

Answers

Answer: $800.

Step-by-step explanation:

To find the income tax of $20,000 simply multiply 20,000 by the decimal of 4%.

20,000 x 0.04 = 800

what is the answer to x - 4 = -2

Answers

Answer: x=2

Step-by-step explanation: add 4 to both sides of the equation.

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