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Work Shown:
We have 8 red and 6 white giving 8+6 = 14 total
The probability of selecting red is 8/14.
After that ball is not replaced, we have 14-1 = 13 balls left. The number of white balls will not go down since only the red ball count goes down.
The probability of selecting white on the second selection is 6/13
---------------------------------------------------------------
So we can say
P(red first, then white) = P(red first)*(white second, given red first)
P(red first, then white) = (8/14)*(6/13)
P(red first, then white) = (8*6)/(14*13)
P(red first, then white) = 48/182
P(red first, then white) = 24/91
Let's label this as A.
A = 24/91
That way we can come back to it later.
---------------------------------------------------------------
Now let's say we pick white first, then red
So we'd have the following.
P(white first, then red) = P(white first)*(red second, given white first)
P(white first, then red) = (6/14)*(8/13)
P(white first, then red) = (6*8)/(14*13)
P(white first, then red) = 48/182
P(white first, then red) = 24/91
Let B = 24/91
---------------------------------------------------------------
Now we add up the values of A and B
A+B = 24/91 + 24/91
A+B = (24+24)/91
A+B = 48/91
Question: Using only reciprocal, Pythagorean, sum/difference, and/or half angle identities, prove the equation below. You must use angles A and B, do not replace with actual vales. Only work with the right side of the equation. You should use TEN steps to accomplish this proof! cosA+cosB= 2cos(A+B/2)cos(A-B/2)
Answer:
See explanation below
Step-by-step explanation:
Recall the identity for the cosine of an addition of angles:
[tex]cos(\theta+\gamma)= cos(\theta)*cos(\gamma)- sin(\theta)*sin(\gamma)[/tex]
and that for a subtraction of angles:
[tex]cos(\theta-\gamma)= cos(\theta)*cos(\gamma)+sin(\theta)*sin(\gamma)[/tex]
Now, use the property of addition of angles above to write :
[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]
but since : [tex]\frac{A+B}{2} +\frac{A-B}{2}= A[/tex]
Then the cosine of addition of angles above can be written as:
[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(A)=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]
We do something similar now with the cosine of the subtraction of angles:
[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]
and we notice that: [tex]\frac{A+B}{2} -\frac{A-B}{2}= B[/tex]
Then the cosine of subtraction of angles above can be written as:
[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]
and finally, we add term by term the expressions we got for cos (A) and for cos(B) and notice that the terms that contain the sine functions cancel each other because they have opposite signs, while the terms in cosine add up to double themselves:
[tex]cos(A )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\+\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\=\\cos(A) +cos(B)=2\,cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )[/tex]
which is what we wanted to prove.
please help need assistance
Answer:
18
Step-by-step explanation:
Keep in mind that anything with a subscript of 0 always comes out as a 1
16(1)+2(2)²(4⁻¹)
= 16+8(4⁻¹)
=16 + 8(1/4)
=16+2
=18
Hope this helps! :)
The radius of the circle is 13 what’s the diameter
Answer:
d = 26
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASGeometry
Diameter: d = 2rStep-by-step explanation:
Step 1: Define
Radius r = 13
Step 2: Find diameter
Substitute: d = 2(13)Multiply: d = 26What is the slope of a line passing
through points (-6, 3) and (-3, -1)?
Answer:
-4/3
Step-by-step explanation:
you do change in y over change in x which is -1-3 over -3-(-6)
when you do the calculations you get -4/3
for the below question assume no duplicated units are allowed all the answers for a 5 question multiple choice test are a b c d find the number of possible answer keys a teacher could have
Answer:
4
Step-by-step explanation:
1 2 3 4 so 4 because 4 is the last number before 5
is 3 months enough time to complete 300 assignments? my school is online and requires you to complete a certain amount of assignments each semester.
Answer:
ya if you do 3 a day
Step-by-step explanation:
Answer:
yes it is enough time you would have to do 25 assignments aweek
Step-by-step explanation:
To find the quotient of 4 divided by 1/5 multuply 4 by
Answer:
There is not enough information for me to solve what you want solved.
Step-by-step explanation:
Sorry
The three perpendicular bisectors of the sides of AABC intersect at point G. Point G is the
A)
centroid.
B)
circumcenter.
C)
incenter:
D)
orthocenter.
Answer: Circumcenter
Step-by-step explanation:
Please view the photo below for proof that it is accurate.
finding integral from derivative graph
Captain America's circular shield has a diameter of 76.2 centimetres. What is the area of his shield?
Answer:
Its area is 370 square centimeters.
Step-by-step explanation:
sergio must ride 7.5 miles in 1/4 hour to achieve this target speed, so he needs to ride an additional ____ mile per 1/4 hour
Answer: 7.0
Step-by-step explanation:
sergio must ride 7.5 miles in 1/4 hour to achieve this target speed so he needs to ride an addititonal 9.8 mile per1/4 hour
Answer:
30 mph
Step-by-step explanation:
since it is 1/4 you would multply 7.5 times 4, which adds up to 30.
Sally’s Rent-A-Bike store rented 200 bicycles in June. In July, the store rented 300 bicycles. What percent of the bicycles rented in June were rented in July?
Answer:The answer is 150%
Step-by-step explanation:
I just did this and got it correct:)Trust me this is correct!!
Answer:
150%
Step-by-step explanation:
there is only three options someone help
Answer:
Answer is Option 2
Step-by-step explanation:
Triangles equal to 180 degrees in total. So it is 55+54+x+74=180
The simplified version that I just wrote is Option 2
HELP!!!!! PLEASE! The length of 1 year on Uranus is a little more than 84 years on Earth. About how many Uranus years are equal to 175 Earth years?
Answer:
About 2.08 Uranus years is equal to 175 Earth years
Step-by-step explanation:
1 = ?
84 175
175/84 = 2.08
Number of Uranus years are equal to 175 Earth years is 2.08 years.
Given that, The length of 1 year on Uranus is a little more than 84 years on Earth.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let the number of years be x
1 : 84 :: x : 175
⇒ 1/84 = x/175
⇒ 84x=175
⇒ x=175/84
⇒ x=2.08 years
Therefore, number of Uranus years are equal to 175 Earth years is 2.08 years.
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Please help fast!! Is this a function?
Answer:
It's not a function..
Step-by-step explanation:
Just take a look at it.
what did u studied about functions before doing this type of problem in math?
Does it look like it? no.
Answer:
That looks very hard .. sorry :(
Step-by-step explanation:
Replace the a , b , c , and d with the dighits 2,4,6,8 to form the greatest product. Each digit can only be used once. Explain your substitutions.
a0b
x c d
--------------------------
Answer:
2x4x6x8
Step-by-step explanation:
each one can only be used once so its only possible for 2x4x6x8
what is the factored form of x^-9
Answer:
1/x^9
Step-by-step explanation:
I don't actually understand this question, but if you are asking (x^(-9)), then its the answer above
Determine if each line is proportional non-proportional or non-liner
Step-by-step explanation:
non-proportiona
Solve five ninths plus four sixths. Answer this and ill give brainliest
Answer:
Step-by-step explanation:
(Decimal: 1.222222)
What expression represents the decimal 72.603?
7 x 10 + 2 x 1 + 6 x 1/100 + 3 x 1/1000
7 x 1 + 2 x 10 + 6 x 1/10 + 3 x 1/100
7 x 10 + 2 x 1 + 6 x 1/10+ 3 x 1/1000
7 x 1 + 2 x 1 + 6 x 1/10+ 3 x 1/100
Answer:
C or 7 x 10 + 2 x 1 + 6 x 1/10+ 3 x 1/1000
Step-by-step explanation: just had this on the test
The correct expression for the expansion of 72.603 is 7 x 10 + 2 x 1 + 6 x 1/10 + 3 x 1/1000 (option 3rd)
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is a decimal number, 72.603
On expanding it, we get,
72.603 = 72 + 0.603
= 7 x 10 + 2 x 1 + 6 x 1/10 + 3 x 1/1000
Hence, the correct expression for the expansion of 72.603 is 7 x 10 + 2 x 1 + 6 x 1/10 + 3 x 1/1000
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will give brainliest!!!! The value of the 5 in the number 594,631 is how many times larger than the value of the 5 in the number 859,463? *
Answer:
It's 10 times larger.
Step-by-step explanation:
If you just have 500,000, and the other one is 50,000, That means 50,000 x 10 is 500,000.
What is 2÷1/7 equal to
A 14
B 7
C 7/2
D 15/7
E 2/7
Answer:
14! So a
Step-by-step explanation:
Answer:
aaaaaaaaa
Step-by-step explanation:
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carpenter charges $45 for every 50 feet of fence he builds plus a travel charge of $37.50.
Answer:
350 feet
Step-by-step explanation:
352.50 - 37.50= 315
315 ÷ 45 = 7
7 × 50 = 350
1. If OQ and RT are parallel lines which statement is true?
A) OPS is congruent to RSU
B) OPS is congruent to RSP (my answer)
C) OPS is congruent to OPN
D) OPS is congruent to TSU
-----------------------------------------
2. If OQ and RT are parallel lines which statement is true?
A) RSP is congruent to RSU
B) RSP is congruent to PST
C) RSP is congruent to TSU
D) RSP is congruent to OPS (my answer)
Answer:
Step-by-step explanation:
Question (1).
OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.
A). ∠OPS ≅ ∠RSU [corresponding angles]
B). m∠OPS + m∠RSP = 180° [Consecutive interior angles]
C). m∠OPS + m∠OPN = 180° [Linear pair of angles]
D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]
And m∠TSP + m∠TSU = 180° [Linear pair of angles]
Therefore, Option (A) is the correct option.
Question (2).
A). m∠RSP + m∠RSU = 180° [Linear pair of angles]
B). m∠RSP + m∠PST = 180° [Linear pair of angles]
C). ∠RSP ≅ ∠TSU [Vertically opposite angles]
D). m∠RSP + m∠OPS = 180° [Consecutive interior angles]
Therefore, Option (C) will be the answer.
Answer:
C
Step-by-step explanation:
OQ and RT are parallel lines, while UN is a transversal that crosses both lines at two points. P and S are a couple.
A). RSU [corresponding angles] OPS
B). [Consecutive interior angles] mOPS + mRSP = 180°
C). [Linear pair of angles] mOPS + mOPN = 180°
D.) Since then, OPS TSP [Alternate Interior Angles] has been implemented.
And [Linear pair of angles] mTSP + mTSU = 180°
As a result, Option (A) is the right one.
Inquiry (2).
A). [Linear pair of angles] mRSP + mRSU = 180°
B). [Linear pair of angles] mRSP + mPST = 180°
C). [Vertically opposite angles] RSP TSU
D). [Consecutive interior angles] mRSP + mOPS = 180°
so it’s gonna have to be C
Ina crespo rowed 7.5 miles down the Hanbashabee river in 1.5 hours ,but the return trip took her 2.5 hours.find the rate ina rows in still water and the rate of the current.
Answer:
rate of current=1 mph
Step-by-step explanation:
if the number of different schedules is represented by three consecutive even integers, what is the expression for that total number of schedules they have to choose from?
Answer:
s
Step-by-step explanation:
s
100 plates served. The 1st waiter turnes every plate upside down. Then another waiter turned every other plate. Then the 3d waiter turned every 3d plate. The 4th turned every 4th plate, and so on, until the 100th waiter turned the 100th plate. At the end how many plates are placed normally?
Answer:
At the end of the 100th turn, you have 90 plates placed normally.
Step-by-step explanation:
Not sure if there is a formula to calculate this. I plugged the data into a spreadsheet and created formulas to turn every plate, every 2nd plate, every 3rd, .... to every 100th plate.
nothing nothing nothing nothing
Answer:
nothing nothing nothing nothing
Step-by-step explanation:
nothing nothing nothing nothing nothing nothing nothing nothing
stream positons by ariana grande <3
Mr. Wong was born in 1934. In what year was Mr. Wong 48 years old?
Answer:
1886 i think thats right if you do the math
Step-by-step explanation:
Which table shows a proportional relationship between weight and price?
Price
Weight
Price
Weight
1.5 lb
$3.50
1.5 g
$0.90
8
2 lb
$7.00
89
$4.80
Price
Weight
Price
Weight
2 kg
$0.75
2 oz
$4.00
5 kg
$3.75
4 lb
$8.00
.
Table 4 is showing proportional relationship between weight and price.
What is proportionality?The number or amount of a group or part of something when compared to the whole, is considered as proportionality.
Given that, a table of proportional relationship between weight and price;
If we consider table number 4,
We see, weight : price = 2 : 4 = 1 : 2
And, 4 : 8 = 1 : 2
Therefore, this is showing proportionality,
Hence, Table 4 is showing proportional relationship between weight and price.
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