Answer:
its number 2 and if its a mutable answers writ 3 also
The probabilities are: (i) P(A) = 1/6
(ii) P(B) = 38/55
(iii) P(A ∩ B) = 1/110
(iv) P(A|B) ≈ 0.00152
To calculate the probabilities, let's first find the total number of ways to choose 3 balls out of the 12 balls.
Total number of ways to choose 3 balls out of 12 = 12C3 = (12 * 11 * 10) / (3 * 2 * 1) = 220
(i) P(A): Probability that all three balls selected are red.
Number of ways to choose 3 red balls out of 7 red balls = 7C3 = (7 * 6 * 5) / (3 * 2 * 1) = 35
P(A) = Number of favorable outcomes / Total number of outcomes = 35 / 220 = 1/6
(ii) P(B): Probability that the sum of the numbers on the three balls is equal to 6.
The possible combinations that sum up to 6 are: (2, 2, 2), (2, 2, 1), and (1, 1, 3).
Number of ways to choose 3 balls such that their sum is 6:
- For (2, 2, 2), we have 1 choice for each color, so 1 * 1 * 1 = 1 way.
- For (2, 2, 1), we have 1 choice for each color, so 1 * 1 * 1 = 1 way.
- For (1, 1, 3), we have 6 choices for the first red ball (all are labeled '1'), 5 choices for the second red ball (since one '1' is already taken), and 5 choices for the green ball labeled '3', so 6 * 5 * 5 = 150 ways.
Total number of ways to choose 3 balls with sum 6 = 1 + 1 + 150 = 152
P(B) = Number of favorable outcomes / Total number of outcomes = 152 / 220 = 38/55
(iii) P(A ∩ B): Probability that all three balls selected are red and the sum of their numbers is equal to 6.
From the above calculations, we know that there are 1 way to choose (2, 2, 2) and 1 way to choose (2, 2, 1) such that all three balls are red and the sum is 6.
P(A ∩ B) = Number of favorable outcomes / Total number of outcomes = 2 / 220 = 1/110
(iv) P(A|B): Probability that all three balls selected are red, given that the sum of their numbers is equal to 6.
P(A|B) = P(A ∩ B) / P(B) = (1/110) / (38/55) = (1/110) * (55/38) ≈ 0.00152 (rounded to five decimal places).
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Solve the system of equations by substitution:
3n + 5m = 7
m - 4n = 6
Answer:
m=2, n=-1 or (2,-1)
Step-by-step explanation:
Hi there!
We're given this system of equations:
3n+5m=7
m-4n=6
we want to solve by substitution; in one equation, we'll set one variable to equal an expression containing the other variable, substitute that expression as the variable into the other equation, solve for the variable substituted, and use the value of that variable to find the other variable
First, let's get the expression we'll substitute into the other
let's use m-4n=6 as it has 1m (m by itself)
add 4n to both sides
m=4n+6
now substitute 4n+6 as m into 3n+5m=7 to solve for n
3n+5(4n+6)=7
do the distributive property
3n+20n+30=7
combine like terms
23n+30=7
subtract 30 from both sides
23n=-23
divide both sides by 23
n=-1
we found the value of n
now let's substitute -1 as n in m=4n+6 to find the value of m
m=4(-1)+6
multiply
m=-4+6
add
m=2
so the answer is m=2, n=-1. As a point, it's (2,-1)
Hope this helps! :)
Explain how to translate the phrase into an algebraic
expression
a number squared decreased by ten
Answer:
I think the answer is 1^2 - 10
Imara used these steps to find the length of the hypotenuse of the right triangle.
3 squares are positioned to form a right triangle. The small square is labeled 15, medium square is 20, and large square is not labeled.
Step 1: Find the area of the square with side lengths of 20: 400
Step 2: Find the area of the square with side lengths of 15: 225
Step 3: Find the sum of the areas of the two squares: 625
Step 4: State the length of the hypotenuse: 625
Answer:
C, "She could have found the sum of 15 and 20 and then squared the sum."
Step-by-step explanation:
I just took the test on Edge :)
The answer is C, I got it right on edge.
Have a nice day everyone <3.
Find a mathematical model for the below statement. (Use k for the constant of proportionality.) The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to the masses and inversely proportional to the square of the distance r between the objects.
Answer:
[tex]F = k\frac{m_1m_2}{r^2}[/tex]
Step-by-step explanation:
Direct proportional:
Multiplication
Inverse proportional:
Division
The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to the masses
This means that:
[tex]F = k\frac{m_1m_2}{}[/tex]
Inversely proportional to the square of the distance r between the objects.
Denominator is [tex]r^2[/tex]. Thus:
[tex]F = k\frac{m_1m_2}{r^2}[/tex]
Should I get my nose pierced??
Answer:
no...you can just use a clip on
Answer:
it's absolutely worth it. The pain of getting one isn't that bad, at least for me. It's just a quick pinch. It'll look so good. Just make sure you are also cleaning it.
Step-by-step explanation:
w= 2hx - 11x Solve for X. Please and Thank you
Answer:
[tex]{ \tt{ w = 2hx - 11x}} \\ \\ { \bf{w = x(2h - 11)}} \\ \\ { \bf{x = \frac{w}{2h - 11} }}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = \frac{w}{(2h - 11)} }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]w = 2hx - 11x[/tex]
[tex]✒ \: w = x \: (2h - 11)[/tex]
[tex]✒ \: x = \frac{w}{(2h - 11)} [/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Match the statement using the diagram
9514 1404 393
Answer:
d, b, c, a, e
Step-by-step explanation:
The order of the letters in the congruence statement tells you ...
ΔQOP ≅ ΔABC
∠Q ≅ ∠A
∠O ≅ ∠B ≅ 115°
∠P ≅ ∠C
QO ≅ AB = 5 m
OP ≅ BC = 8 m
PQ ≅ CA
y=5px+5x2+p2 differential equation
Answer:
Step-by-step explanation:
y=5px+5x2+p2
y=10p2x2p
Eli will photograph a wedding for a flat fee of $880 or for an hourly rate of $120. For what lengths of time would the hourly rate be less expensive?
The hourly rate would be less expensive if the wedding was less than ___ hours long.
Answer:
7 hours
Just divide 880/120 = 7.3333333
So if 7*120 = 840
An hour more would be more expensive.
(4x+ 5 = 20
Which best describes the circled part of the statement?
Expression
Coefficient
Term
Variable
Answer:
B) Coefficient.
Step-by-step explanation:
The coefficient is the numerical constant in the given term.
For example, the given term is 4x, in which:
4 is the coefficient.
x is the variable.
5 is the constant.
20 is another constant.
~
(Right angle Trigonometry) Please help me solve and explain!
Answer:
31.3
Step-by-step explanation:
Reference angle given = 56.1°
Hypotenuse = 56.1
Adjacent side = x = ?
We would apply CAH, which is:
Cos 56.1° = Adj/Hyp
Cos 56.1° = x/56.1
56.1 × Cos 56.1° = x
31.2895006 = x
x = 31.3 (approximated to the nearest tenth)
Please help me with the correct answer
Answer:
50 books were sold
Step-by-step explanation:
there are 5 books in the Red Crow row, and each book is worth 10 sold.
Which input value produces the same output value for the two functions
X=-12
X=-9
X=-6
X=-3
GIVING OUT BRAINLIEST HELP ME PLEASE !! PLS 10 PTS
Answer:
x2+y2-12x24y+36=36.
2
+
y
2
−
12
x
+
18
y
=
−
36
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x^2-12x+36) + (y^2-24y+144-144) = 0
(X-6)^2 + (y-12)^2=144
What is the period of the graph of y = 5 sin (πx) + 4?
Answer:
I think it’s 2 hope my answer was good have a nice day as well
Step-by-step explanation:
The period of the given function y = 5 sin (πx) + 4 is π.
We have given that,
y = 5 sin (πx) + 4
We have to determine the period
What is the period?
The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π.
Therefore the period of the given function is π.
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the sum of three consecutive even number is 27
What is the probability of randomly selecting a prime number from the first 30 natural numbers?
A. 11/30 ≈ 36.67%
B. 13/30 ≈ 43.33%
C. 1/3 ≈ 33.33%
D. 12/30 = 40%
Answer:
33.33%
Step-by-step explanation:
Prime numbers from 1 to 30 are 2,3,5,7,11,13,17,19,23,29.
So There are 10 prime numbers
Therefore,
P(of randomly selecting a prime number from the first 30 natural numbers)=10/30= 1/3 = 33.33%
A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50. Lin has $300 to spend on renting the hall for a fundraiser.Using only the money she has, can Lin pay for a 6 hour event? Explain or show your reasoning.
Answer:
No, 6 hours would cost $335, 35 over her limit of $300.
Step-by-step explanation:
she has to pay $200 plus 22.50 for every hour she rents. So, if she rents for 6 hours, she has to pay $200 + 6(22.50) or $200 + 135=335. She only has $300 so she can’t afford the event.
Pleeeeeeeese help me I will mark you as brainliest
[tex] \orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}} [/tex]
FIND THE NUMBER THAT MAKE EQUIVALENT FRACTION.
[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]
[tex] \red{solved} \\ \frac{4}{ \cancel{5}} = \frac{x}{ \cancel{40}^{ \: \: \: \tiny{8}} } \\ 8 \times 4 = x \\ 32 = x[/tex]
[tex] \blue{Part - 1} \\ \frac{4}{ \cancel{6}} = \frac{x}{ \cancel{24}^{ \: \: \: \tiny{4}} } \\ 4\times 4 = x \\ 16 = x[/tex]
[tex] \green{Part - 2} \\ \frac{1}{ 2} = \frac{6}{ x } \\ 6 \times 2 = x \\ 12 = x[/tex]
SOLVE LIKE THIS FOR ALL
PART - 3 --> 12
PART - 4--> 40
PART - 5 --> 6
PART - 6--> 4
PART - 7 --> 54
PART - 8 --> 12
PART - 9--> 36
PART - 10 --> 28
PART - 11--> 20
PART - 12 --> 28
PART - 13 --> 16
PART - 14 --> 20
PART - 15 --> 12
PART - 16 --> 6
PART - 17 --> 32
PART - 18--> 30
PART - 19 --> 27
PART - 20 --> 36
If a and b are zeroes of the x2 + 7 x+7, find the value of a−1+b−1−2ab.
9514 1404 393
Answer:
-15
Step-by-step explanation:
If 'a' and 'b' are zeros of the quadratic f(x), its factored form is ...
f(x) = (x -a)(x -b)
and its standard form is ...
f(x) = x^2 -(a+b)x +ab
This tells us that ...
a+b = -7
ab = 7
for the given quadratic.
Then the expression of interest is ...
[tex]a^{-1}+b^{-1}-2ab=\dfrac{1}{a}+\dfrac{1}{b}-2ab=\dfrac{a+b}{ab}-2ab\\\\=\dfrac{-7}{7}-2\cdot7=-1-14=\boxed{-15}[/tex]
Pls solve this question:
it is about Square and square roots
if u answer, then I will mark you as brilliant
Answer:
2.3
Step-by-step explanation:
A number when squarerooted squared will be come that number.
In formula terms, it is something like that:
[tex]\sqrt{x} X \sqrt{x} =x[/tex]
So…
[tex]\sqrt{2.3} X \sqrt{2.3} = 2.3[/tex]
HW HELP ASAP PLZZzzzzzzzz
Answer:
Graph 4
Step-by-step explanation:
Gỉaỉ pt
2x^2×(2x^2+3)=2-x^2 ai giải giúp vs
2x²×(2x²+3)=2-x²
[tex]x = \frac{1}{2} , - \frac{1}{2} ,i \sqrt{2} , - i \sqrt{2} [/tex]
The measures of the angles of the triangle are 32°, 53º,
950. Based on the side lengths, what are the measures
of each angle?
m2A = 95°, mZB = 53º, mZC = 32°
MZA= 32º, mzB = 53º, mZC = 95°
MZA= 43º, mZB = 32°, m2C = 95°
OmZA= 53º, m B = 95°, m2C = 32°
Answer:
m∠A = 32°
Step-by-step explanation:
8^2 = 12^2 + 15^2 - 2*12*15*cosA
Answer:
B
Step-by-step explanation:
did it on edge
Sam is proving the product property of logarithms.
Answer: c
Step-by-step explanation: edge 2021
how to write 403.225 in words and how do i get the answer. Thanks!!!!
Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle?
Question 7 options:
A)
A cut parallel to the vertical axis, directly through the vertical axis
B)
A cross section cut parallel with the bottom
C)
A cut parallel to the vertical axis, but off the vertical axis
D)
Cutting off one of the bottom corners
Point D, not shown below, is one of the four (4) vertices of rectangle ABCD. Find its position and state the coordinate of point D.
Answer:
Hi im not got with graphs
Step-by-step explanation:
Which of the following graphs show a
proportional relationship?
Choose all answers that apply:
Help me please I only have 20min left to do this
Answer:
A
Step-by-step explanation:
Two angles are supplementary. One is 25° more than four times the other. Find the measures of the angles.
Answer:
100
Step-by-step explanation:
I believe it is this answer bur don't hold me to. If it is wrong I'm sorry in advance
Answer:
The two angles are 31° and 149°
Step-by-step explanation:
Let the two supplementary angles be , x and y.
Then, x + y = 180° ----- ( 1 )
Given : one is 25° more than 4 times other
Let y = 25° + 4x ------ ( 2 )
Substitute ( 2 ) in ( 1 ) :
x + y = 180°
x + 25° +4x = 180°
x + 4x = 180° - 25°
5x = 155°
x = 31°
Substitute x in ( 2 ) :
y = 25° + 4x
= 25 + 4 ( 31 )
= 25 + 124
= 149°