Answer:
52 cards:
26 red and 26 black
P(R) = probability of picking a red card
P(B) = probability of picking a black card
P(R) = P(B) = ¹/₂
If with replacement:
P(R∩B) = (¹/₂)(¹/₂) = ¹/₄
If without replacement:
P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁
8 Balls:
3 red and 5 white
P(R) = probability of picking a red ball
P(W) = probability of picking a white ball
P(R) = ³/₈
P(W) = ⁵/₈
If with replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)
= ¹⁵/₆₄ + ¹⁵/₆₄
= ³⁰/₆₄
= ¹⁵/₃₂
If without replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)
= ¹⁵/₄₂ + ¹⁵/₄₂
= ³⁰/₄₂
= ⁵/₇
solve for z
4/z =
12/5
what is z
Answer:
5/3 = z
Step-by-step explanation:
You can use proportions to figure this out.
Imma solve this as I work through it.
So
4/z is equal to 12/5. So you can do something called the butterfly method (I have never used this before, but it works tho) and the method involves only multiplication and division.
Lemme clean this up for ya
The butterfly method involves multiplying in a cross format on both sides, so the
4 12
__ = ______
z 5
becomes 4 times 5, and z times 12.
4 times 5 is 20, and z times 12 is 12z
so you now have 20 = 12z
Lets simplify the equation by dividing by 4s
20 divided by 4 is 5 and 12z divided by 4 is 3z
so
5 = 3z
You can divide again
by dividing both sides
by
3
to get the unit rate of z.
It will be a fraction though
and it won't look pretty
but here it is:
5
__ = z
3
So
It is
5/3
Hope this helps
and hope you get a laugh out of this
yeeha
Four siblings have a dog walking business. The table shows the hours worked by sibling. sibling earns $25.50 per hour and the total number of hours worked is represented by 10h + 15, where h represents the number of hours Michael worked. Sibiling Hours Worked Martin 2. 5h +3 Emillo 4(h – 2) Michael Mario 31 What was the total amount the siblings earned?
Answer:
I couldn't find out how many hours Michael worked but the total amount is $1504.50
Step-by-step explanation:
Miranda invited 117 guests to a charity event. Miranda is renting tables that seat 9 guests at each table. If each table costs $4 to rent, how much will Miranda spend to rent the tables?
Answer: $468.00
Step-by-step explanation:
Which expression is the additive inverse of 25?
Answer:it’s actually very simple it’s A.
Step-by-step explanation: anything that is below one is negative that’s how I got my answer.
Answer:the answer is A
Step-by-step explanation:i did the test
Geometry please help!!!!!!!?
Answer:
It is same as the length of YX =8 inches so the length of VW=8 inches
hurry and answer please
It's c (48)
because if you divide all of them its 3
(Round to the nearest tenth of a percent.) In 2011, the IRS increased the deductible mileage cost to
55.5 cents from 51 cents.
Answer:
[tex]\%Change = 8.8\%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 51\ cents[/tex]
[tex]Final = 55.5\ cents[/tex]
Required
Determine the percentage change
Percentage change is calculated as;
[tex]\%Change = \frac{Final - Initial}{Initial} * 100\%[/tex]
[tex]\%Change = \frac{55.5 - 51 }{51 } * 100\%[/tex]
[tex]\%Change = \frac{4.5}{51} * 100\%[/tex]
[tex]\%Change = \frac{4.5* 100\%}{51}[/tex]
[tex]\%Change = \frac{450\%}{51}[/tex]
[tex]\%Change = 8.8\%[/tex]
Hence, the percentage change is approximately 8.8%
which set of factors matches theses partial products? 3x50=150. 3x7=21
Answer:
ye
Step-by-step explanation:
Without actually going through the solution process. we can say that the equation
|5x-6| =6x cannot have a negative solution. Why is this true?
Write 1,054 thousand in standard form.
Answer:
1054
Step-by-step explanation:
1000+50+4
Of the 482 graduating seniors at Palmdale High School, approximately 5/8 are going to college, and approximately 1/2 of those going to college are going to an in-state school. Which of the following is the closest estimate for how many of the graduating seniors are going to an in-state school?
Answer:A
Step-by-step explanation:
trust
PLEASE PLEASE PLEASE HELP
Answer:
some dumb mod deleted my answer because i didnt show work. Who cares about the work everyone just wants the answers.
55.) A.9 B. 29
57.) SAS
Step-by-step explanation:
4x - 3y = 1
-8x + 6y = -2
Answer:
x = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
4x - 3y = 1
-8x + 6y = -2
Step 2: Rewrite systems
-8x + 6y = -2
Add 8x to both sides: 6y = 8x - 2Divide 6 on both sides: y = 4/3x - 1/3Step 3: Redefine systems
4x - 3y = 1
y = 4/3x - 1/3
Step 4: Solve for x
Substitution
Substitute in y: 4x - 3(4/3x - 1/3) = 1Distribute -3: 4x - 4x + 1 = 1Combine like terms: 1 = 1Here we see that 1 does indeed equal 1.
∴ x = all real numbers/infinite amount of solutions
Step 5: Graph
Check the systems.
We see that the 2 equations are the same line.
can y’all also explain the steps
Answer:
B. is your answer
Step-by-step explanation:
First you multiply both sides by "x" and you get
12x - 4 = 3x
now add 4 to both sides and you get
12x = 3x + 4
now subtract "3x" from both sides and you get
9x = 4
divide both sides by 9 and you get
x = 4/9
Evaluate the surface integral SSs (x + y + z)ds, s is the parallelogram with parametric equations x = u + v, y = u - v, z = 1 + 2u +v, 0 <= u <= 2, 0 <= v <=1
The surface element is
dS = || ∂r/∂u x ∂r/dv || du dv
where
r (u, v) = x (u, v) i + y (u, v) j + z (u, v) k
r (u, v) = (u + v) i + (u - v) j + (1 + 2u + v) k
is the vector parameterization for the surface S.
The normal vector to the surface is
∂r/∂u x ∂r/dv
… = (i + j + 2 k) x (i - j + k)
… = 3 i + j - 2 k
and has norm
|| ∂r/∂u x ∂r/dv || = √(3² + 1² + (-2)²) = √(14)
Now compute the integral:
∫∫ (x + y + z) dS = √(14) ∫₀¹ ∫₀² ((u + v) + (u - v) + (1 + 2u + v)) du dv
… = √(14) ∫₀¹ ∫₀² (3u + v + 1) du dv
… = √(14) ∫₀¹ (3/2 u² + uv + u) |₀² dv
… = √(14) ∫₀¹ (8 + 2v) dv
… = √(14) (8v + 2v²) |₀¹
… = 10 √(14)
What is the solution to the system: ax+y=18 and 4ax-y=12? Use elimination. Put the answer as an ordered pair. Show work on the next question. You have 3 unknowns and only 2 equations so you can have the variable "a" in your solution
Answer:
Ax=6
Y=12
Therefore a=6, x=1, y=12
Answer:
{([tex]\frac{6}{a}[/tex],12)}
Step-by-step explanation:
[tex]\left \{ {{ax+y=18} \atop {4ax-y=12}} \right.[/tex]
[tex]5ax = 30[/tex]
[tex]x = \frac{6}{a}[/tex]
[tex]a(\frac{6}{a}) + y = 18[/tex]
6 + y =18→y=12
[tex]4a(\frac{6}{a}) - 12 = 12[/tex]
6 - 12 = 12 → 12 = 12 true x=[tex]\frac{6}{a}[/tex] y=12
2/5x+y=3
Solve for y
rationalize the denominator of 1 /√3
[tex]\huge\sf\underline{\purple{❥}\pink{Q}\orange{U}\blue{E}\red{S}\green{T}\purple{I}\pink{O}\red{N}}[/tex]
rationalize the denominator of 1/√3
[tex]\huge\sf\underline{\purple{❥}\pink{A}\orange {N}\blue{S}\red{W}\green{E}\purple{R}}[/tex]
[tex] \frac{1}{ \sqrt{3} } \\ \\(to \: rationalize \: the \: denominator \\ we \: have \: multiply \: \frac{1}{ \sqrt{3} } \: to \: the \:given \: fraction \: \: \: ) \\ = \frac{1}{ \sqrt{3} } \times \frac{1}{ \sqrt{3} } \\ = ( \frac{1}{ \sqrt{3} } ) {}^{2} \\ = \frac{1}{3} [/tex]
HOPE IT HELPS YOU..
The ratio of the number of people who own a Samsung Galaxy to the number of people
who own an iPhone is 3 : 5. If 1,000 more people own an iPhone than a Samsung
Galaxy, how many people own each type of phone?
Answer:
answer and explanation below
Step-by-step explanation:
that means 2/5 is 1000 so 1/5 is 500 so 500times 3/5 is 500 times 3
so galaxy=1,500 and iphone=2,500 and 1,500/2,500 gets reduced to 3/5 so it is rigth
13 is 26%of what number
120 is 30% of what number
Answer:
1. 50%
2. 400
Find the lcm of 15,30 and 105
Answer:
210
Step-by-step explanation:
Which integer represents a temperature of 9 degrees below freezing?
Answer:
Step-by-step explanation:
Freezing is 32 degrees F.
32-9= 23 degrees F.
1. Charlie bought a new computer for $450 with his credit card. He plans to pay the minimum payment
of $25 per month. What is the rate of change, including units ?
Given:
Charlie bought a new computer for $450 with his credit card.
He plans to pay the minimum payment of $25 per month.
To find:
The rate of change.
Solution:
Let y be the remaining amount of loan after x months.
Initial amount of loan = $450
Payment of one month = $25
Payment of x months = $25x
Now,
Remining amount = Initial amount of loan - Payment of x months
[tex]y=450-25x[/tex] ...(i)
The slope intercept form is
[tex]y=mx+b[/tex] ...(ii)
where, m is slope and b is y-intercept.
From (i) and (ii), we get
[tex]m=-25[/tex]
Therefore, the rate of change is -25 dollars.
-17 + 25 + -6 - 18 can you please show work too, thank youu
Answer:
-16
Step-by-step explanation:
-17+25+-6-18
you just basically combined -17,-6 and -18
so -41+25
= -16
14. The first tree on the left is 8cm tall and is 30cm from the vanishing point. If the third tree is 20em from the
vanishing point, how tall is it?
d.
160 cm
8 cm
C.
b. 0.1875 cm
a.
5.3 cm
Answer:
5.3cmStep-by-step explanation:
Step one:
given data
First tree
the tree is 8cm tall
and 30cm from the vanishing point
Third tree
let the tree be x cm tall
and 20cm from the vanishing point
Step two:
if 8cm tree will be 30cm at the vanishing point
then x cm tree will be 20cm at the vanishing point
cross multiply we have
x= (20*8)/30
x=160/30
x=5.3cm
The third tree is 5.3cm tall
Kaelyn is reading a book. The books thickness is 25 millimeters. How many of these books would fit on a shelf that is 1 meter long?
The number of books that can be fit on a shelf is 1 meter long and will be 40.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Kaelyn is reading a book.
The book's thickness is 25 millimeters.
Then the number of the books that can be fit on a shelf is 1 meter long will be
Let x be the number of the books.
The thickness of the book in meters will be 0.025 m.
Then we have
0.025x = 1
x = 1 / 0.025
x = 40
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
When twice a number is subtracted from 34, the result is 16. Find the number.
O A. 8
OB. 16
C. 12
OD. 9
Answer:
9
Step-by-step explanation:
34 - 16 = 18
18 ÷ 2 = 9
you're welcome! I'm a 6th grader btw!
Answer:
9
Step-by-step explanation:
34-2x=16
-2x=16-34
-2x=-18
2x=18
X=18/2
X=9
So the answer is 9.
Ms. Strauss fills gum and trinket machines in front of grocery stores. In the trinket machine, there tattoos and stickers. If Mrs. Strauss puts 25 tattoos and 45 stickers in a machine, what is the ratio of stickers to all of the trinkets in the machine
What is Point-Slope Form? What is Slope Intercept Form? What is the Slope Formula?
i included pictures please help it closes tonight
Answer:
Point slope form: y-y₁=m(x-x₁)
Slope-Intercept form is y=mx+b....
Slope formula is m=y-y/ (over) x-x
Step-by-step explanation:
Help please
Here is a triangular prism.
7.8 cm
16 cm
5.4 cm
Work out the volume of the prism in cm.
Give your answer correct to 3 significant figures.
Answer:
243cm^3
Step-by-step explanation:
By Pythagoras' Theorem,
height of the prism ^2 + 5.4^2 = 7.8^2
height of the prism = ±√(7.8^2 -5.4^2) = ±5.6285cm (5s.f.) (rej. - 5.6285 since height > 0cm)
volume of the prism = 1/2 x 5.4 x 5.6285 x 16 = 243cm^3 (3s.f.)
This is a question on mensuration. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)