There are 10 sweets in a box. There are n jelly beans and the rest are cola bottles. Colin takes 2 sweets out of the box at random. Write an expression for the probability of getting 2 jelly beans. Give your expression as a single fraction and simplify fully.
The probability expression is n/10 * (n - 1)/9 and the single fraction is n(n - 1)/90
How to determine the probability expression?We understand that there are 10 sweets in the box
Such that
Jelly beans = n
This means that
The rest = 10 - Jelly beans
So, we have
The rest = 10 - n
The probability of 2 jelly bean sweet is represented as
P(2 jelly bean sweets) = P(First jelly bean sweets) * P(Second jelly bean sweets)
This gives
P(2 jelly bean sweets) = n/10 * (n - 1)/9
Solving further, we have
P(2 jelly bean sweets) = n(n - 1)/90
Hence, the probability is n(n - 1)/90
Read more about probability at
https://brainly.com/question/251701
#SPJ1
The correct answer is:
(10-n)(9-n)/90
mark it as brainly
Please help math problem
Answer:
Step-by-step explanation:
What is a perfect 5 pointed star
Answer:A perfect 5 pointed star geometrically is an equilateral concave decagon, it is also a common ideogram in modern culture.
Step-by-step explanation:
Rays PQ and PS are perpendicular to each other.
What is the measure of LRPS plzzzzz
Answer:
m<RPS = 53 degrees
Step-by-step explanation:
Find the diagram attached
From the diagram shown;
m<QPR + m<RPS = 90
Given that;
m<QPR = x
m<RPS = x+16
Substitute into the formula;
m<QPR + m<RPS = 90
x+x+16 = 90
2x+16 = 90
2x = 90-16
2x = 74
x = 74/2
x = 37degrees
Get m<RPS;
Since m<RPS = x+16
m<RPS = 37 + 16
m<RPS = 53 degrees
Divide. Give the exact answer, written as a decimal.
Answer:
15.6
Step-by-step explanation:
Translations and reflections
Answer:
The answer is A. x + 5, y - 2
Step-by-step explanation:
The answer is A because you would move the block 5 spaces to the right and 2 spaces down.
Hope this helps!
You're playing a game where you defend your village for me or evasion there are three characters of habit or human and five defensive tools magic sword shield slingshot or umbrella to pick from if you randomly choose your character into what is your probability that you won't be a hobby or use an umbrella
Answer:
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]
Step-by-step explanation:
Your question is poorly formatted (See comment section for complete question)
Given
[tex]x = \{elf, hobbit, human\}[/tex] ---- characters
[tex]n(x) =3[/tex]
[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex] --- tools
[tex]n(y) = 5[/tex]
Required
The probability that your character won't be a hobbit or your tool won't be an umbrella?
First we calculate the probability of choosing a hobbit.
[tex]x = \{elf, hobbit, human\}[/tex]
[tex]n(hobbit) = 1[/tex]
So:
[tex]P(hobit) = \frac{n(hobbit)}{n(x)}[/tex]
[tex]P(hobit) = \frac{1}{3}[/tex]
Using the complement rule, we calculate the probability of not choosing a hobbit
[tex]P(Not\ hobbit) = 1 - P(hobbit)[/tex]
[tex]P(Not\ hobbit) = 1 - \frac{1}{3}[/tex]
[tex]P(Not\ hobbit) =\frac{2}{3}[/tex]
Next, we calculate the probability of choosing an umbrella.
[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex]
[tex]n(Umbrella) = 1[/tex]
So:
[tex]P(Umbrella) = \frac{n(Umbrella)}{n(y)}[/tex]
[tex]P(Umbrella) = \frac{1}{5}[/tex]
Using the complement rule, we calculate the probability of not choosing an umbrella
[tex]P(Not\ Umbrella) = 1 - \P(Umbrella)[/tex]
[tex]P(Not\ Umbrella) = 1 - \frac{1}{5}[/tex]
[tex]P(Not\ Umbrella) = \frac{4}{5}[/tex]
The required probability is calculated using:
[tex]P(A\ or\ B) = P(A) + P(B) - P(A)P(B)[/tex]
In this case;
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = P(Not\ hobbit) + P(Not\ Umbrella) -[/tex] [tex]P(Not\ hobbit)*P(Not\ Umbrella)[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{2}{3} * \frac{4}{5}[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{8}{15}[/tex]
Take LCM
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{10+12-8}{15}[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]
Someone pleaseee help!! I’ll give brainliest!!
.....................
Answer: 65.97 yd^3
Step-by-step explanation:
The equation to find the volume of a cone is: v=[tex]\pi r^{2} \frac{h}{3}[/tex]
So, v = [tex]\pi[/tex] (3^2)(7/3) = 65.97345 yd^3
Type in the value of x.
12x - 2
130°
Answer:
Good question could someone answer it. I would like to know also
Carmella is making a rectangular flower garden in her backyard. The space she wants to use is 4 meters in length and 2 meters wide. How much space will she have in her garden?
Answer:
8 meters
Step-by-step explanation:
4x2=8
I really need help right now someone help pls!!!
It takes a snail 50 hours to travel 22 miles. At this rate, how many hours will it take the snail to travel 11 miles?
Answer: 25 hours
Step-by-step explanation:
Answer:
25 hours
Step-by-step explanation:
Write your question here (Keep it simple and clear to get the best answer)striangle has vertices A(2;5); B(1;-2) and C(-5;1). Determine:(a) the equation of the line BC. (b) The equation of the perpendicular line from A to Bc
(a) y = [tex]\frac{-1}{2}[/tex]x - [tex]\frac{3}{2}[/tex]
(b) y = 2x + 3
Step-by-step explanation:
(a) The equation of a line given by points M(x₁, y₁) and N(x₂, y₂) is given by:
y - y₁ = m(x - x₁) -------------------(i)
Where;
m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] = slope or gradient of the line ---------------(ii)
Given points on the triangle are:
A(2,5)
B(1,-2)
C(-5,1)
To find the equation of line BC, we use the formulas in equations (i) and (ii) where the points of the line are B(1,-2) and C(-5,1) and;
x₁ = 1
y₁ = -2
x₂ = -5
y₂ = 1
==> First get the gradient using equation (ii) as follows;
m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] = [tex]\frac{1 - (-2)}{-5 -1}[/tex]
m = [tex]\frac{3}{-6}[/tex]
m = [tex]\frac{-1}{2}[/tex]
==> Now, use equation (i) to find the equation of the line as follows;
y - (-2) = [tex]\frac{-1}{2}[/tex](x - 1)
y + 2 = [tex]\frac{-1}{2}[/tex](x - 1)
Multiply both sides by 2
2(y+2) = -1 ( x - 1 )
2y + 4 = -x + 1
2y = -x + 1 - 4
2y = - x - 3
y = [tex]\frac{-1}{2}[/tex]x - [tex]\frac{3}{2}[/tex]
Therefore, the equation of the line is y = [tex]\frac{-1}{2}[/tex]x - [tex]\frac{3}{2}[/tex]
(b) To find the perpendicular line from A to BC, note that
i. two lines are perpendicular if they meet at 90°
ii. the general equation of a line could also be written as y = mx + c where m is the slope and c is the intercept.
iii. when one line has a slope of m, then a perpendicular line to that line will have a slope of [tex]\frac{-1}{m}[/tex]
The equation of line BC is y = [tex]\frac{-1}{2}[/tex]x - [tex]\frac{3}{2}[/tex].
This means that BC has a slope of [tex]\frac{-1}{2}[/tex]
A perpendicular line from A to BC will have a slope of 2.
Now to get the equation of this perpendicular line from A(2, 5) to BC, we use the general equation of a line given in equation (i)
where;
m = 2
x₁ = 2
y₁ = 5
Substitute these values into equation (i)
y - 5 = 2(x - 2)
Solving by simplification gives;
y - 5 = 2x - 2
y = 2x + 3
Therefore, the equation of the perpendicular line is y = 2x + 3
A small business wants to meet the minimum medical loss ratio required. If projections show that the business will pay out an average of $8,900 per policy holder in health care claims, what is the minimum average premium they should charge per policy holder?
Answer:
$7120 or $7565 is the minimum average premium they should charge per policy holder
Step-by-step explanation:
Small business can charge 80-85% of the total value of the policy as premium.
In this case the spending per policy holder is $8900
Hence, per policy holder has to pay a premium of
80-85% of $8900
$7120 or $7565 is the minimum average premium they should charge per policy holder
Explain why the following statement IS NOT a statistical question. "How
much electricity did Home 2 use on Day 1?"
Answer:
Because it only has one answer and there are no variety of answers.
hope this helps
Answer this for brainilest and 30points (no links or internet answer or you will get flagged
Answer:
C is 3..............................
Doug worked out for 256 minutes.
Doug has an enemy named Cathy
Cathy worked out a total of 4 hours and 15 minutes.
Who worked out more? What was the difference in minutes?
Answer:
Step-by-step explanation:
Cathy worked 4 hours.
4 hours = 4 * 60 = 240 minutes
She worked an additional 15 minutes which brings her total up to 255.
Doug worked 1 minute longer than Cathy.
Answer:
a.) Doug worked more. b.)The difference is one minute.
Step-by-step explanation:
CAN BE DONE DIFFERENTLY
Cathy has 4 & 15 minutes, since each hour is 60 minutes we can multiply 60 by 4.
60
x4
240
Now adding the 15 it'll be 255.
DOUG WORKED MORE.
DIFFERENCE IS 1 MINUTE.
please help!! i will give brainliest! links = report
Answer:
There Will be one cookie left.
Step-by-step explanation:
She is wrong Becuase if you eat 4 cookies there is two left. So if you put it on 5 there would only be 1 left.
Which angle ALWAYS has the same measurement?
1. Acute angle
2.Right angle
3.Obtuse angle
Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27 pi cm^3 cubed of melted purple liquid. The radius of the cone is 3 cm.
What is the height of the cone?
Either enter an exact answer in terms of pi or use 3.14 for pi.
Answer:
9 cm
Step-by-step explanation:
Use the cone volume formula, V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
Plug in the volume and radius, and solve for h, the height:
V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
27[tex]\pi[/tex] = [tex]\pi[/tex](3²)[tex]\frac{h}{3}[/tex]
27[tex]\pi \\[/tex] = 9[tex]\pi[/tex][tex]\frac{h}{3}[/tex]
3 = [tex]\frac{h}{3}[/tex]
9 = h
So, the height of the cone is 9 cm
Christine received a $70 gift card for a coffee store. She used it in buying some coffee that cost $7.52 per pound. After buying the coffee, she had $47.44 left on her card. How many pounds of coffee did she buy?
__ pounds
Answer:
3
Step-by-step explanation:
take 70 and subtract the amount left, which is $22.56 divide that by 7.52 and you get your answer of 3
please help it's easy
i think of a number add three to it and multiply the outcome by 7 the solution is 24.5 set up an equation and solve it to find my original number
GIVING BRAINLIEST -23 points-
URGENT HELP ME PLEASE!!!
Answer:
The answer is option c....
Mark as brainliest
PLEASE HELP ME!!!!!!!
Answer:
62
Step-by-step explanation:
leave an brainlest!
HELPPP PLEASEEEE
30 POINTSS
Answer: 1/2 mile
Step-by-step explanation:
[tex]2\frac{1}{2} -(\frac{1}{4} +1\frac{3}{4} )=Distance\\\22\frac{1}{2} =\frac{10}{4} \\\11\frac{3}{4} =\frac{7}{4} \\\frac{10}{4} -\frac{1}{4} -\frac{7}{4} =\frac{2}{4} =\frac{1}{2} \\[/tex]
Answer:
1/2 mile hope this helps
Step-by-step explanation:
Hello! Can someone please help? I would really appreciate it! Thx! :)
Answer:
55
Step-by-step explanation:
a line is 180° so you subtract 180 by 125 and you get 55
Answer: Either 45 or 55 degrees
Explanation: The angle of number 5 is acute or in other words small therefore it cannot be 145 degrees or 125 degrees. Seeing how small #5 is I would go for 55 degrees. If you do 180 (the measure of the line) - 125 = 55
Which of the following is NOT a method to solve a system of equations?
O Absolution
O Substitution
OElimination
O Graphing
Answer:
•Absolution is not a method to solve system of equation
The volume of a large tank is 210 ft3. It is 5 3/5
ft wide and 1 4/5
ft high. What is the length of the tank?
Answer:
20 5/6 ft
Step-by-step explanation:
5 3/5 = 28/5
1 4/5 = 9/5
V = l * w * h
210 = l * 28/5 * 9/5
210 = l * 252/25
multiply both sides by 25/252
5250/25 = l
Reduce
20 5/6 = l
20 5/6 ft
Please answer (IN school) 32.4-0.78
Answer: 31.62
Step-by-step explanation: