Jean puts 12 books on a shelf in random order. Three are by the same author. What is the probability that those 3 books will be next to each other?
it's one of these...
4.55%
8.33%
Answer:
4.55
Step-by-step explanation:
AEight different books were put on a shelf in random order. Calculate probability that two specific books were put near each other.
My answer: Let's divide the space on the shelf into eight slots. Let's also name our two books, "A" and "B" respectively. We have two sets of combinations - in the first set of combinations we have AB (i.e. A goes first). For example, A is put into the first slot and B is put into the second slot. Next example, A is put into the second slot and B is put into the third slot. And so on. There are 7 such AB combinations in total. By the same logic there are also 7 BA combinations. Obviously there is no overlap between said combinations, thus we can sum them up and get 14 combinations in total where books A and B are put side by side.
As for number of total combinations of books on the bookshelf, it's equal to "n!", where n is equal to 8. Why? Because in order to calculate combinations when repetitions are forbidden and order is important we use this formula:
Find the number line with the correct letter placement for each value.
A=73,B=−67,C=127,D=−1.35
Choose one correct answer.''
Answer:
Step-by-step explanation:
a
The owner of a pet shop predicts that 10 out of 20 new puppies are male. He randomly selects 10 of the puppies, and notes that all 10 are male. Which of the following conclusions best supports his findings?
Select one:
10 of the puppies are male and 10 are female.
More than 10 of the puppies are male.
All 20 puppies are male.
Less than 10 of the puppies are male.
Answer:
A, 10 of the new puppies are male and 10 are female
Step-by-step explanation:
Really this is the one that makes the most since because if 10 of the puppies are male, then 10 must be female.
Answer: A
Step-by-step explanation:
Find the measure of each angle
Answer:
angle O = 36 degrees
angle N = 54 degrees
Step-by-step explanation:
90 degrees = angle O and N
2a + 18 + 5a + 9 = 90
7a + 27 = 90
7a = 63
a = 9
2(9) + 18 = 36 degrees
5(9) + 9 = 54 degrees
someone please help me answer this!!
Answer:
100 in is the answer.
Step-by-step explanation:
a = 60 in
b = 80 in
c = ?
According to the Pythagorean theorem,
a² + b² = c²
60² + 80² = c²
3600 + 6400 = c²
c² = 10000
c = 100 in
∴ the distance between the opposite corners of the bed is 100 in
The equation for the perimeter around Claire's garden is a:
Group of answer choices
Linear Function
Exponential Function
Quadratic Function
Absolute Value Function
Answer:
Linear Function
Step-by-step explanation:
I just took the test and got it right.
Does anyone have the answer key to this? Need it ASAP!
The Distance between point A and Point B is √10 units.
What is Distance?Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
Here, Coordinates of A is (1, 8) and B is (4, 9).
Distance formula = √(x₂-x₁)² + (y₂-y₁)²
= √(4 - 1)² + (9 - 8)²
= √9 +1
AB = √10
Thus, the Distance between point A and Point B is √10 units.
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Please help me with this
Answer: 20 inches
Step-by-step explanation: You will use the equation 48 x 28 x N = 26,880. To find the solution divide 48 and 28 from 26,880 to get N. To check your work just multiply what you got from N by 48 and 28.
someone please help me answer this
Answer:
It would be 20
Answer:
6.4 in is the answer.
Step-by-step explanation:
a = 5 in
b = 4 in
c = ?
According to the Pythagorean theorem,
a² + b² = c²
5² + 4² = c²
25 + 16 = c²
c² = 41
c = 6.403
Round to the nearest tenth,
c = 6.4 in
∴ the length of the pencil is 6.4 in
aced or higher please hellp i beg :C
Answer:
A: Find the area of the outer trapezoid and then subtract the area of the inner trapezoid
B: 15 square units
Step-by-step explanation:
A:
Find the area of the outer trapezoid and then subtract the area of the inner trapezoid
(because if the inner trapezoid wasn't there and you were looking for the shaded region, you'd find the area of the outer trapezoid. since you have to take away the area the inner trapezoid takes up, the shaded region = area of outer trapezoid - area of inner trapezoid)
B
The area of a trapezoid is ((a+b)/2)h, where a is the top or the trapezoid, b is the bottom and h is the height.
The top of the outer trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the outer trapezoid ranges from 2 to 8, so b=8-2=6. The height of the outer trapezoid ranges from 2 to 8, so h=8-2=6.
The area of the outer trapezoid = ((a+b)/2)h = ((2+6)/2)(6) = 4(6) = 24
The top of the inner trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the inner trapezoid ranges from 3 to 7, so b=7-3=4. The height of the inner trapezoid ranges from 3 to 6, so h=6-3=3.
The area of the inner trapezoid = ((a+b)/2)h = ((2+4)/2)(3) = 3(3) = 9
The are of the shaded region = the area of the outer trapezoid - the area of the inner trapezoid = 24 - 9 = 15 square units
Collin bought one T-shirt for $7.90 and another T-shirt for $12.40. What is the total amount he spent?
Denise made 1/2 of a liter of hot chocolate. Each mug holds 1/10 of a liter. How many mugs will Denise be able to fill?
Answer:
5 mugs
Step-by-step explanation:
1/2 converted into 10ths would be 5/10 ... meaning 5 mugs
What is the square root of –16?
A. –8i
B. –4i
C. 4i
D. 8i
Answer:
C. 4i
Step-by-step explanation:
Answer:
C. 4i
Step-by-step explanation:
[tex]\sqrt{-16} = \sqrt{16} \sqrt{-1}[/tex] (because [tex]\sqrt{ab} =\sqrt{a} \sqrt{b}[/tex])
Since [tex]\sqrt{16}[/tex]=4, and [tex]\sqrt{-1}[/tex]=i, [tex]\sqrt{-16}[/tex]=4i
2x+1=7 .explanation please
Answer:
x=3
Explanation
2x+1=7
Step 1: Subtract 1 from both sides.
2x+1−1=7−1
2x=6
Step 2: Divide both sides by 2.
2x/2 = 6/2
x=3
plz mark me as brainliest
Owen and Ethan have $175 together. How much money does each of them have if Ethan has $33 more than Owen.
Owen has $
Ethan has $
Answer:
Owen has $71 and Ethan has $104
Step-by-step explanation:
Create a system of equations where o is how much money Owen has, and e is how much Ethan has
x + e = 175
e = x + 33
Solve by substitution by plugging in o + 33 in as e, in the first equation
o + e = 175
o + (o + 33) = 175
2o + 33 = 175
2o = 142
o = 71
So, Owen has $71 dollars
To find how much Ethan has, add 33 to this, since he has $33 more than Owen
71 + 33
= 104
So, Owen has $71 and Ethan has $104
pls help
#1
isjsbijsj
Answer:
The value of “Y” is (6)
Step-by-step explanation:
the x value unit of “5” has the y value of “6.”
Answer: 6
EXPLANATION:
The x axis is the one on the bottom that goes like this : ---
The y axis is the one that is like a vertical line up like this: |
If you look at the x axis you can see that one the 5 and you go up you can see there is a dot that is on the 6.
simplify the following complex number, without changing the polar form and leave your answer in polar form:
[tex]\frac{(2\ \textless \ \frac{2\pi }{3})^{3} (3\ \textless \ \frac{3\pi }{2}) }{4\ \textless \ \frac{7\pi }{3} }[/tex]
The simplified form of the complex number in polar form is: 2 < (-7π/6)
How to simplify the complex numberTo simplify the given complex number in polar form, we can apply the rules of exponentiation and division for complex numbers:
First, let's simplify the numerator:
(2 < 2π/3)^3 = (2^3) < (2π/3 * 3) = 8 < (2π)
(3 < 3π/2) remains the same.
Now, let's simplify the denominator:
4 < (7π/3) remains the same.
Next, let's divide the numerator by the denominator:
[(8 < (2π)) * (3 < (3π/2))] / (4 < (7π/3))
Using the rules of division for complex numbers, we can divide the magnitudes and subtract the angles:
(8/4) < (2π - 7π/3 - (3π/2)) = 2 < (2π/3 - 3π/2 - π/6) = 2 < (-7π/6)
Therefore, the simplified form of the complex number in polar form is:
2 < (-7π/6)
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what is the equation that has an x intercept of 4 and yintercept of 2. Show your work please
Answer:
y = -1/2x + 2
Step-by-step explanation:
If you are talking about a linear equation then b=2
The slope is y2 - y1 / x2 - x1 so 2-0/0-4 = 2/-4 = -1/2
So put it all together in y = mx + b so y = -1/2x + 2
How many times greater is the one in 1,255 than the one in 82,175
Answer:
You take 1,000 because it's in the thousandths place of 1,255. The value of that one is 1,000 so you multiply that times 100, which is the value of 1 in 82,175.
answer this please!!!
Answer:
yes. It's a right triangle.
Step-by-step explanation:
According to the Pythagoras theorem,
a² + b² = c²
20² + 21² = 29²
400 + 441 = 841
841 = 841
LHS = RHS
Which graph represents exponential decay?
On a coordinate plane, a straight line has a negative slope.
On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up in quadrant 1.
On a coordinate plane, a straight line has a positive slope.
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2.
The graph which shows the function is exponential decay is on a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2 thus, option (D) is correct.
What is an exponential function?In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.
As per the given,
The exponential function is a function that changes rapidly, for example, y = 6^x here as x approaches higher the y approaches rapidly higher.
Exponential decay is the exponential function that rapidly decreases as x increases for example y = 6^(-x).
The graph of the exponential decay has been graphed below.
Hence "The graph which shows the function is exponential decay is on a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2".
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Answer:
D
Step-by-step explanation:
edge
hope this helps :)
1) Which number line below
shows x 4?
a)
1 2 3 4 5 6
b)
0 1 2 3 4 5 6
C)26
O i 2 3 4
D)5
0 1 2
3 4 5
6
A
B
оооо
С
D
Answer to this problem
The 3 deals are worth the same price per unit of $0.1 a pencil.
Price per unit of itemsBased on the given prices, we can calculate the price per pencil for each pack:
Pack of 12 pencils: $1.29Price per pencil = $1.29 / 12 = $0.1075 (approximately $0.11)
Pack of 24 pencils: $2.35Price per pencil = $2.35 / 24 = $0.0979 (approximately $0.10)
Pack of 50 pencils: $5.45Price per pencil = $5.45 / 50 = $0.109 (approximately $0.11)
In other words, the 3 deals are worth the same price per unit of the pencil.
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Theo is using the Quadratic Formula to solve a quadratic equation. Which of the following is the next step for simplifying
x=−4±4√6/2
Answer: look at the picture
Step-by-step explanation:
Removing the denominator by dividing both the numerator's terms by 2 is the needed next step for simplification. The result is: x=−2±2√6
How to find the solution to a standard quadratic equation?Suppose the given quadratic equation is
[tex]ax^2 + bx + c = 0[/tex]
Then its solutions are given as
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Here, we're given the expression:
[tex]x = \dfrac{-4 \pm 4\sqrt{6}}{2}[/tex]
The next step to simplify is to make it look more simple.
[tex]x = \dfrac{-4}{2} \pm \dfrac{4\sqrt{6}}{2}\\\\x = -2 \pm 2\sqrt{6}[/tex]
Thus, removing the denominator by dividing both the numerator's terms by 2 is the needed next step for simplification. The result is: x=−2±2√6
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How to get from 40 to 5 in two steps
Answer:
Step one: say "5"
Step two: say "40"
Done.
PLS HELP I NEED HELP SO SOOON PLEASEEDSrewrite without absolute value for the given condition y=|x-5|+|x+5| if -5
answer: i think i failed this part in class
Find the equation of the line specified.
The slope is -7, and it passes through ( 5, -3).
a.
y = -7x - 3
c.
y = -14x + 32
b.
y = -7x + 32
d.
y = -7x - 38
Rachel downloaded a movie at a constant speed.
After she downloaded 40% of the movie, the remaining download time was 40 seconds.
After she downloaded 40 mb, the remaining download time was 16 seconds.
Compute the total size of the movie (in mb) rounded to the nearest mb.
Answer:
The total weight of the file was 64 mb.
Step-by-step explanation:
Given that Rachel downloaded a movie at a constant speed, and after she downloaded 40% of the movie, the remaining download time was 40 seconds, while after she downloaded 40 mb, the remaining download time was 16 seconds, to determine the total size of the movie rounded to the nearest mb, the following calculation must be performed:
100 - 40 = 60
60% = 40 seconds
40 mb = 16 seconds left
16/40 = 4/10
60/40 = 1.5
1.5% for every 1 second of download.
16 x 1.5 = 24
40 + 24 = 64
Thus, the total weight of the file was 64 mb.
Find the volume of a cone with a base diameter of 10 cm and a height of 9 cm
Answer:
235.71cm^2
Step-by-step explanation:
Volume of cone = 1/3 pie r^2 h
1/3*22/7*5*5*9
= 235.71cm^2
Volume of a cone is 235.6 cm³.
Why is the volume of a cone?The volume of a cone with height h and radius r is 1/3πr2h, which is exactly one third the volume of the smallest cylinder that it fits inside. This can be proved easily by considering a cone as a solid of revolution, but I would like to know if it can be proved or at least visual demonstrated without using calculus.The volume of a cone is calculated the using the formula:
[tex]V = \frac{1}{3} \pi r^{3} h[/tex]
Given,
height of the cylinder is, h=9cm.
The diameter of the base is 10cm. r = 5 cm
put the values into the formula to get -
V = [tex]\frac{1}{3} * \pi * 5^{2} * 9[/tex]
[tex]V = 75 \pi[/tex]
Put value of π = 3. 14 ,
V = 75 * 3.14
V = 235.6 cm³
Therefore, Volume of a cone is 235.6 cm³.
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What is 1/6 divided by 1/3 in simplest form
Answer:
1/2 or 0.5
Step-by-step explanation:
Answer:
1/18
Step-by-step explanation:
1/6÷1/3
1/3×1/6
1/3×6
1/18