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

A fan has 5 congruent blades that are spaced equally as shown below.
What is the measure of the angle of rotation if blade M moves clockwise to the position of blade P?

Answers

9514 1404 393

Answer:

  d  72°

Step-by-step explanation:

Moving from M to P, the fan has rotation 1/5 of the way around the 360° circle. Its angle of rotation is ...

  360°/5 = 72°

There are five consecutive odd integers. The sum of largest integer and twice the smallest integer is 53. Find the smallest integer

Answers

16

The equation I used was x = smallest integer.

(X + 5) + (2x) = 53

3x + 5 = 53

3x = 48

X = 16

Which of the following tables represent exponential functions?

Answers

The top left table is the right answer

Answer:

Step-by-step explanation:

it is the top 2

A turtle and a snail are 300 feet apart when they start moving towards each other. The
turtle is moving at a speed of 5 feet per minute, and the snail is moving at a speed of 1
foot per minute.
How fast are they approaching each other?

Answers

Answer:

6 feet per minute

Step-by-step explanation:

Answer:

6 feet per minute.

Step-by-step explanation:

5ft + 1ft = 6ft per minute.

Find the value of x .....

Answers

Answer:

x=15

Step-by-step explanation:

It's right angle shown by orange color

If one side is 45, other side has to be 45 as well.

3x = 45

x = 45/3

x = 15

we know that both angles combined make a 90 degree angle; to find x we set it up like this:
3x + 45 = 90
3x = 45
x = 15

NO LINKS PLEASE!!!! :( I AM GIVING BRAINLIEST TO WHOEVER ANSWERS ALL OF THE FUNCTION TABLES! YOU DON'T NEED TO SHOW YOUR WORK AND PLEASE HURRY! :D

Answers

5. 4,8,16
6. 2,6,10
7. 3,5,6,8,11
8. 0,1,2,3,4

6) From a point on the ground 15 ft. From the base of a flagpole, the angle of elevation of the top of the pole measures 57°. How tall is the flagpole?

Answers

Answer:23.1 ft

Step-by-step explanation:

Given

Point is 15 ft away from the base of the flagpole

The angle of elevation is [tex]57^{\circ}[/tex]

from the figure, we can write

[tex]\Rightarrow \tan 57^{\circ}=\frac{Y}{15}\\\\\Rightarrow Y=15\times \tan 57^{\circ}=23.09\approx 23.1\ ft[/tex]

The length of the flagpole is 23.1 ft

Will Give Brainliest Help Please (Geometry )!!

Answers

Answer:

17 is a Trapezoid, 18 is the last answer

[tex]|\sqrt{5} - 3 |[/tex]
Write the equation above without using absolute value.

Answers

Answer:

Calculate the sqr of 5 subtract it from 3 and find absolute value

Step-by-step explanation:

Sqr of 5 is 2.23606798

2.23606798 - 3 = -0.76393202

Absolute value of -0.76393202 is 0.76393202

Answer:

Step-by-step explanation:

This can be written as (√5 - 3) or - √5 +3   You have to make clear what you would like this to do.

Which statement about histograms is true?

Answers

Answer: Histograms can be used to exhibit the shape of distributions.

Step-by-step explanation:

Answer:

Histograms can be used to exhibit the shape of distributions.

Step-by-step explanation:

Help please it will mean a lot to me

Answers

Answer: Whole= Part x %/100

Step-by-step explanation:

All of the other equations are algabraecally correct when solving for either part whole or percent but Whole [tex]\neq[/tex] Part x %/100

Simplify: x²yx^4y + a²a^10 a2q10 - b^3b^3b + 5²c (5) ( It comes with a photo)​

Answers

Answer:

a^14q^10+x^6y^2−b^7+125c

( I hope this was helpful ) >;D

what is the measure of x? someone actually help im confused

Answers

Answer:

angle x = 28 degrees

Step-by-step explanation:

Because of vertical angles, angle IAK and angle BAC are equal, and angle GCJ and angle ACB are also equal due to vertical angles

Since KL is perpendicular to FG, angle ABC is 90 degrees

ABC is a right triangle and acute angles in a right triangle are equal to 90 degrees

This means that angle BAC + angle ACB = 90 degrees

angle BAC = 62 degrees and angle ACB = x degrees

62 + x = 90

x = 28 degrees

The ratio of the length to the width of a 5:4. The length of the cereal box is 60 centimeters. How wide is the box

Answers

Answer:

48

Step-by-step explanation:

60 = 5x

x = 12

12x4 = 48

Rachel is selling gift cards to raise money for her swim team. Each gift card costs $25.00. If c represents the number of gift cards she sells, and t represents the total amount collected, which equation models the amount of money she could raise?

Answers

Answer:

The equation that models the amount of money she could raise is written as:

t = 25c

Step-by-step explanation:

Rachel is selling gift cards to raise money for her swim team. Each gift card costs $25.00. If c represents the number of gift cards she sells, , which equation models the amount of money she could raise?

Let t represent the total amount collected

Each gift card costs $25.00.

If c represents the number of gift cards she sells

The equation that models the amount of money she could raise is written as:

t = $25 × c

t = 25c

You make an initial investment of $500. Fill in the table below to show how much money you would have after 3 years if your account earns compound interest that is compounded annually at a rate of 5%.

Answers

After three years, your investment would be $575. The formula is A=P(1+(r/n)^(n*t) where A is the final amount, P is the initial balance, r is the interest rate, n is the amount of time the interest is compounded in a year, and t is the amount of time that has passed.
P=500
r= 5% is which converted into a decimal by dividing 5 by 100 which is then 0.05
n= 1 since it is compounded annually
t= 3
Hope this helped.

Please help me I’m lost

Answers

Y=8z+2 ? That might be the answer because he learns 8 songs each month and z stands for months and the 2 is the songs he needs to learn

which is an example of categorical data?
A - The name of a baseball team
B- The number of players on a baseball team
C- The price of a ticket to a baseball game
D- The number of seats in a baseball stadium

Answers

Answer:

B

Step-by-step explanation:

I'm positive its B, if it's not B then then D

hope this helps!

The area of a trapezoid is 46 square yards. If the height is 4 yards and the length of one of the bases is 16 yards,determine the length of the other base

Answers

Answer: 7 yards

Step-by-step explanation:

Given

The area of the trapezoid is [tex]46\ yards^2[/tex]

The height of the trapezoid is  [tex]h=4\ yards[/tex]

One of the bases is [tex]a=16\ yards[/tex]

Suppose another base is b

The area of the trapezoid is

[tex]A=\dfrac{a+b}{2}\times h[/tex]

Putting values

[tex]\Rightarrow 46=\dfrac{16+b}{2}\times 4\\\\\Rightarrow 23=16+b\\\Rightarrow b=7\ yards[/tex]

The length of other base is 7 yards

The veterinarian told Hector that his 8-inch puppy would get no taller than 24 inches. Write and solve an inequality to find how much more his puppy, shown here, may grow.

Answers

Answer:

8<x>24

Step-by-step explanation:

It grow greater than 8 but less than 24.

If you're still not getting it ask me in the comments below.

Hope this helps

(c)Simplify without the use of a calculator
[tex] \frac{ {6}^{x} \times 3 ^{x - 2} }{6. {18}^{x-2} } [/tex]

Answers

Step-by-step explanation:

[tex] \frac{ {6}^{x} }{6} \times ({ \frac{3}{18} })^{x - 2} = {6}^{x - 1} \times {6}^{2 - x} = {6}^{(x - 1 + 2 - x)} = {6}^{1} = 6[/tex]

what are some expressions that are equivalent to 6(m+2+ m)

Answers

Answer:

12m + 12 is one equivalent expression

Step-by-step explanation:

This can be found by distributing the numbers as shown below:

6(m + 2 + m)

6m + 12 + 6m

12m + 12

Awnser:

The awnser would be 8m in total.

You could do 4(m +4 m) or 8(m+0 m) or 3(m +5 m)

Please help.
Algebra.

Answers

Answer:

4) C

5) D

Step-by-step explanation:

4) Solving by substitution means you will try to get one of the variables isolated for one of the equations (y=_____), then plug that in to the other equation. C is the best answer choice for a first step in isolating a variable

5) For these kinds of questions it is best to convert the equations to be in the same form (y=mx+b or Ax+By=C). You should get y=3x+5 for both equations, meaning they are the same equations, therefore infinite solutions exist

The settlers who brought their Mennonite and Amish faiths with them were from which country?
* it's not Switzerland*

and it supposed to be in this article

I have two history classes and I forgot which one this one is for.

Answers

Pennsylvania Germans

A triangle has vertices on the coordinate grid at points D (3, -3), E (0,2), and F (-1,-3)

Answers

Answer:

4 units

Step-by-step explanation:

A triangle has vertices on the coordinate grid at points D (3, -3), E (0, 2), and F (-1, -3). What is the length, in units, of DF ?

A triangle is a polygon with three sides and three angles.

The distance between two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is given by:

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

Given A triangle with vertices at points D (3, -3), E (0, 2), and F (-1, -3). The length of side DF is given as:

[tex]DF=\sqrt{(-1-3)^2+(-3-(-3))^2}=4\ units[/tex]

2 The graph shows the hours and miles that Johnny traveled
on his bicycle. If the independent variable is 4. what is the
dependent variable?
Number of Miles

Answers

Answer:

It is 10

Step-by-step explanation:

Someone type this up, I don't feel like dealing with it and well, you get points.

Answers

Answer:

[tex] \sqrt[3]{216} = \sqrt[3]{ {6}^{3} } = 6[/tex]

this is your answer

please help i've been doing this ages

Answers

Sin is equal to opposite over hypotenuse
With this we know that
Opposite = sqrt(12)
Hypotenuse = 4
To find adjacent we need to use the Pythagorean theorem
12 + adj^2 = 4^2
We then solve for adj
12 + adj^2 =16
adj^2 =4
adj =2
Now that we have opposite, adjacent, and hypotenuse, we can find cos and tan
Cos is equal to adj/hypotenuse
Cos = 2/4 = 1/2
Tan is equal to opp/adj
Tan = sqrt(12)/2

Use the distributive property to expand the following: 8 ( x + 2 )

Answers

The answer is : y=8(x+2)

Given cot A = 63/16 and that angle A is in Quadrant , find the exact value of sin A in simplest radical form using a rational denominator.

Answers

Answer:

sin(A) = 16*Cos(A)/63

Step-by-step explanation:

You didn't state what quadrant it was in.

The sine of angle A is 16 / 65

What is the sine of an angle?

In a right-angled triangle, the sine of an angle is equal to the ratio of the side opposite to the angle (also called perpendicular) and hypotenuse.

Give that, cot A = 63/16 and that angle A is in Quadrant, (refer to the figure attached)

Since, we know that, cotangent of an angle is ratio of adjacent side to opposite side.

Using Pythagoras theorem, we get,

63²+16² = 4255

√4225 = 65

Therefore, the hypotenuse = 65

sine of an angle = opposite side / hypotenuse

sinA = 16 / 65

Hence, the sine of angle A is 16 / 65

Learn more about sine of an angle, click;

https://brainly.com/question/3827723

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