six distinct integers are selected at random from 2018 2019 2020 2027 what is the probability that among those selected the second smallest in 2020

Answers

Answer 1

The probability that among those selected the second smallest in 2020 is 1/3

In this question, we have been given six distinct integers are selected at random from 2018, 2019, 2020, . . . , 2027

We need to find the probability that among those selected the second smallest in 2020.

Here, total integers are: 10

The total number of ways to choose six distinct integers :

10C6

= 10!/6!(10 - 6)!

= 210

Assume 2020 is the second-lowest number.

There are 5 numbers left to choose, 4 of which must be greater than 2020.

This is equivalent to choosing 4 numbers from the seven numbers larger than 2020, and 1 number from the two numbers less than 2020

using combination formula,

7C4 * 2C1

= 35 * 2

= 70

So, the probability would be,

P = 70/210

P = 1/3

Therefore, the required probability is 1/3  

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Related Questions

The population size is dictated by
A. births, deaths, density, and distribution
B. density, distribution, immigration, and emigration
C. births, deaths, immigration, and emigration
D. density, distribution, sex ratio, and age structure

Answers

I am pretty sure the answer is C.

Explanation: Births raise the population, deaths lower the population, immigration raises the population of an area, emigration lowers the population of an area

what is 220% of 15? ............

Answers

Answer:

33

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer: 33

Step-by-step explanation: Write 220% as 220/100

Finding the fraction of a number is same as multiplying the fraction with the number 220/100 of 15

220/100 x 15

Therefore, the answer is 33

What percent of 24 seconds to 4 hours?



Also can you add them label it would help a lot.


:)

Answers

24 seconds is approximately 0.17% of 4 hours. The percentage of 24 seconds to 4 hours, we can start by converting both values to the same units.

To find the percentage of 24 seconds to 4 hours, we can start by converting both values to the same units. One hour is equal to 3600 seconds, so 4 hours is equal to:

4 hours * 3600 seconds/hour = 14,400 seconds

Now we can express the ratio of 24 seconds to 14,400 seconds as a fraction and convert it to a percentage:

(24 seconds / 14,400 seconds) * 100% ≈ 0.17%

Therefore, 24 seconds is approximately 0.17% of 4 hours.

Here's how you could label the calculation:

24 seconds is what percent of 4 hours?

24 seconds / 14,400 seconds = 0.00167 or 0.167%

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PLS HELP WILL GIVE BRAINLIEST!!!






find the area of the shaded shape

PLS HELP WILL GIVE BRAINLIEST!!!find the area of the shaded shape

Answers

Answer:

Hello,

Step-by-step explanation:

1/4 of an circle - the triangle

\(Area=\dfrac{\pi*26^2}{4} -\dfrac{26^2}{2} \\\\=169*(\pi-2)\approx{192,93}\)

any recommendations for anime?​

Answers

Great pretender is one of my favorite animes so yeah :)

The Misfit of Demon King Academy

Which angles are corresponding angles? Se
lect all that apply

Answers

The angles that are corresponding angles:

∠1 and ∠3

∠5 and ∠7

∠6 and ∠8

We know that when a transversal intersects parallel lines or non-parallel lines then the angles formed at the same relative position at each intersection are nothing but the corresponding angles.

If a transversal intersects parallel lines, then the corresponding angles formed have equal measure.

Wheras if a transversal intersects non-parallel lines, then the corresponding angles formed doesn’t have any relation with each other.

In the following figure we can observe that line p and line q are non-parallel lines and are intersected by transversal r.

From definition of corresponding angles, the pair of corresponding angles:

∠1 and ∠3

∠5 and ∠7

∠6 and ∠8

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Find the complete question below.

Which angles are corresponding angles? Select all that apply

5x 3 = 32 cuantos es ?

Answers

it's 15 because 5 x 3 is 15- in Spanish it's

What is the first time after 1 PM at which the inute hand and hour hand of a clock point in exactly opposite directions?

Answers

Answer:

9 : 30

Step-by-step explanation:

1 PM - 1 hour = 12 PM

12 PM - 2 hours = 10 PM

10 PM - 20 minutes = 9 : 40

9 : 40 PM - 10 minutes = 9 : 30 PM

So, it is 9 : 30 PM

The circumference of a redwood tree trunk is 18π ft, and it is 100 ft tall. using a right cylinder to model the trunk, what is the approximate volume of the redwood tree trunk? a. 810π ft3 b. 3,240π ft3 c. 8,100π ft3 d. 32,400π ft3

Answers

Option C : The volume of the redwood tree trunk using a right cylinder to model the trunk is approximately 8,100π cubic feet.

The circumference of the redwood tree trunk is given as 18π feet, which means the diameter of the trunk is 18 feet. Using a right cylinder to model the trunk, the radius of the cylinder is 9 feet (half of the diameter), and the height is given as 100 feet.

The formula for the volume of a right cylinder is V = π\(r^2\)h, where r is the radius of the base of the cylinder and h is the height of the cylinder. Substituting the given values, we get:

V = π(\(9^2\))(100)

V = 81π(100)

V = 8100π

Therefore, the approximate volume of the redwood tree trunk is 8100π cubic feet.

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Por la suma de sus medidas, los ángulos se clasifican en _______ cuando suman 90º, y en _______ si suman 180º

Answers

Answer:

Complementary angles: a pair of angles are considered complementary when their sum is exactly 90º.

Step-by-step explanation:

To calculate a complementary angle, we will subtract 90 from the angle that the statement tells us and it will give us its complementary. Supplementary angles: A pair of angles are considered supplementary when their sum is exactly 180º.

am i right? i just need to make sure

am i right? i just need to make sure

Answers

Answer:

im pretty sure

Step-by-step explanation:

Answer:

I think it is

Step-by-step explanation:

Please help me out !!!!!!

Please help me out !!!!!!

Answers

Answer:

Im sorry but I am not really sure myself ! I hope you find or found your answer already !

Step-by-step explanation:

on a circle of radius 2, center (0, 0), find the x and y coordinates at angle 270 degrees (or 3π/2 in radian measure).

Answers

At an angle of 270 degrees (or 3π/2 radians) on a circle with a radius of 2 and center at (0, 0), the x-coordinate is 0 and the y-coordinate is -2.

To find the x and y coordinates at an angle of 270 degrees (or 3π/2 in radian measure) on a circle of radius 2 with center (0, 0), we can use the trigonometric definitions of sine and cosine.

The x-coordinate (x-value) represents the horizontal position on the circle, while the y-coordinate (y-value) represents the vertical position.

For a point on the unit circle (circle with radius 1) at a given angle θ, the x-coordinate is given by cos(θ) and the y-coordinate is given by sin(θ).

In this case, the circle has a radius of 2, so we need to multiply the cosine and sine values by 2 to get the x and y coordinates, respectively.

Using the angle 270 degrees (or 3π/2 in radian measure):

x-coordinate = 2 * cos(3π/2)

y-coordinate = 2 * sin(3π/2)

Evaluating these expressions:

x-coordinate = 2 * cos(3π/2) = 2 * 0 = 0

y-coordinate = 2 * sin(3π/2) = 2 * (-1) = -2

Therefore, at an angle of 270 degrees (or 3π/2 radians) on the circle of radius 2 with center (0, 0), the x-coordinate is 0 and the y-coordinate is -2.

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Given f (x) = x2 + 5x + 6, what is [picture included] equal to?


h2 + 14h

2x + h + 5

h + 4

9 + h

Given f (x) = x2 + 5x + 6, what is [picture included] equal to? h2 + 14h 2x + h + 5 h + 4 9 + h

Answers

The difference quotient evaluated in x = 2 gives:

[ f(2 + h) - f(2)]/h = h + 9

So the last option is the correct one.

How to find the difference quotient evaluated in 2?

Here we know the function:

f(x) = x^2 + 5x + 6

And we want to find the difference quotient:

[ f(2 + h) - f(2)]/h

Let's evaluate the function:

f(2 + h) = (2 + h)^2 + 5*(2 + h) + 6

            = 2^2 + h^2 + 4h + 10 + 5h + 6

            = h^2 + 9h + 20

f(2) = 2^2 + 5*2 + 6

f(2) = 4 + 10 +  6 = 20

Then we have:

[ f(2 + h) - f(2)]/h

[h^2 + 9h + 20 - 20]/h

[h^2 + 9h ]/h

Taking the quotient we get:

[h^2 + 9h ]/h = h + 9

So the correct option is the last one.

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In rectanale ABCD, AD= 9 and AB= 12. What is the measure of
diagonal AC?

Answers

Answer:

15

Step-by-step explanation:

See attachment.

In rectanale ABCD, AD= 9 and AB= 12. What is the measure ofdiagonal AC?

find the slope of the line passing through (5,8) and (-4,6)

Answers

Answer:

(y2-y1/x2-x1) is the equation, plug in the points

6-8/-4-5

-2/-9

2/9 is the slope

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope= (6-8)/(-4-5) = -2/-9 = 2/9

Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate the flux of F across S. F(x, y, z) = 3xy2i + xezj + z3k, S is the surface of the solid bounded by the cylinder y2 + z2 = 9 and the planes x = −3 and x = 3.

Answers

To calculate the flux of the vector field \(F = 3xy^2i + xe^zk + z^3k\)across the surface S, which is the surface of the solid bounded by the cylinder \(y^2 + z^2 = 9\)and the planes x = -3 and x = 3, we can use the Divergence Theorem.

The Divergence Theorem states that the flux of a vector field F across a closed surface S is equal to the triple integral of the divergence of F over the region enclosed by S.
First, we need to determine the divergence of F. The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by div(F) = (∂P/∂x) + (∂Q/∂y) + (∂R/∂z).
In this case, \(F = 3xy^2i + xe^zk + z^3k,\)so we have \(P(x, y, z) = 3xy^2, Q(x, y, z) = xe^z,\)and \(R(x, y, z) = z^3\). Taking the partial derivatives, we find\((∂P/∂x) = 3y^2, (∂Q/∂y) = 0\), and (∂R/∂z) = \(3z^2\).
No can, we evaluate the triple integral of the divergence of F over the region enclosed by S. The region is defined by\(-3 ≤ x ≤ 3, -√9 - z^2 ≤ y ≤ √9 - z^2,\)and -3 ≤ z ≤ 3. Integrating (∂P/∂x) + (∂Q/∂y) + (∂R/∂z) over this region will give us the flux of F across S.
Performing the integration will yield the final numerical result of the flux.

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One year ago, Lindsey deposited $250 into a savings account. Her balance is now $253. Two years ago, Jenn deposited $250 into a savings account. Her balance is now $257.50. Which account has the greater simple interest rate? Explain.
This is due at 2

Answers

Jenn's account has the greater simple interest rate

Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.

For Lindsey:

Lindsey simple interest was 1.2% annually

For Jenn:

Jenn simple interest was 1.5% annually

Therefore Jenn's account has the highest simple interest rate.

^^^^^^^^^^^^^^^^^^^^

"EamonnAdams1992"

Answer:

She has a higher interest rate

Step-by-step explanation:

Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.

Sample answer on edge ;)

IM SO CONFUSED! HELP AND EXPLAINNNNNN

IM SO CONFUSED! HELP AND EXPLAINNNNNN

Answers

Answer:

326.56 sq in

Step-by-step explanation:

SA=2*3.14*4^2+2*3.14*4*9

SA= 100.48+ 226.08

SA= 326.56

Plug numbers in equation and then solve equation. R=4 and h=9.

Who was killed in Animal Farm?

Answers

In Animal Farm, Boxer, many piglets, hens, and a lot of other nameless creatures all perish under Napoleon's tyranny.

Why was Boxer killed in Animal Farm?

The framework, the structure, within which a story is produced, is known as the plot of a story. It almost acts as the blueprint for how all the many parts of a literary work fit together to form a finished product. The five elements that make up a story's plot are as follows: the introduction, also known as exposition, in which the reader is given background information on the narrative's characters and setting as well as other essential details.

The three main parts of a story are the rising action, the climax, and the falling action. The rising action is when the writer builds up the information and develops the story to lead the reader to the story's crucial point. The climax is essentially the heart of the story and the point at which the action reaches its highest pitch. To prepare for the story's conclusion, the loose ends also start to be tied off. The conclusion of the story, or resolution, comes last.

Boxer is now known as the most pitiful of Orwell's characters because of his death in this chapter. Napoleon has completely brainwashed him; as a result, he lives (and dies) for the benefit of the farm, whose boss sells him to a knacker as soon as he becomes unfit for labor.

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Write the negation of the following statement: ABC and DEC are
complementary angles.
A)OZABC and ZDEC are not complementary angles.
B)ZABC and ZDEC are supplementary angles.
C)The sum of ABC and ZDEC is 180 degrees.
D)The sum of ABC and ZDEC is 90 degrees.

Write the negation of the following statement: ABC and DEC arecomplementary angles.A)OZABC and ZDEC are

Answers

D) The sun of ABC and ZDEC is 90 degrees
Why?
Complementary angles: add up to 90 degrees.
Supplementary angles: add up to 180
degrees.

This graph suggests that the greater the rainfall in June through August, the fewer acres are burned by wildfires. Which factor in the graph supports this idea?

Answers

The factor in the graph that supports the idea that the greater the rainfall in June through August, the fewer acres are burned by wildfires is the negative correlation between rainfall and acres burned.

The graph shows a negative correlation between the amount of rainfall in June through August and the number of acres burned by wildfires. As the amount of rainfall increases, the number of acres burned decreases. This suggests that wetter weather can help reduce the risk of wildfires.

The graph provides a visual representation of the relationship between rainfall and wildfires. It shows that there is a clear negative correlation between the two variables. This means that as one variable increases, the other decreases. In this case, the variable of interest is the number of acres burned by wildfires. The graph shows that when there is less rainfall in June through August, more acres are burned by wildfires. Conversely, when there is more rainfall during these months, fewer acres are burned. This makes sense because rainfall can help reduce the risk of wildfires by making vegetation less dry and therefore less susceptible to catching fire. Additionally, wetter weather can help firefighters contain and extinguish fires more quickly and effectively.

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Find the slope and y-intercept of the line. 1 y = 5x - 9 1 o 3:9 و { 1 0 -9.5 059 9. 5

Answers

The line is given as

\(y=\frac{1}{5}x-9\)

The slope is 1/5

The y-intercept is -9

Therefore, the first option is the correct one

Write the linear equation in standard form. Do not use any spaces in your answer.

2 + (1/2)x = y

Answers

By writing both variables in the same side of the linear equation, we will get the standard form:

2y + (-1)*x = 4

How to write the linear equation in standard form?

A linear equation between two variables x and y written in standard form is:

a*x + b*y = c

Where the coefficients a, b, and c, are all real numbers.

In this case, we have the linear equation:

2 + (1/2)*x = y

If we multiply both sides by 2, we get:

2*(2 + (1/2)*x) = 2*y

4 + x = 2y

Now we subtract x in both sides to get:

4 + x - x = 2y - x

4 = 2y - x

This is the linear equation in standard form:

2y + (-1)*x = 4

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Slove the follwing equations
Solve the following equations 22Y – 5 = -3Y – 15 - 3) 4Y - 5 (1 – 3Y) = 1–3 (1 – 4Y)

Answers

The solution to the equations are:

Equation 1: Y = -2/5 or -0.4

Equation 2: Y = 3/7 or approximately 0.4286

To solve the given equations, we will follow a step-by-step process.

1. Equation 1: 22Y - 5 = -3Y - 15

  First, let's gather the terms with Y on one side and the constant terms on the other side.

  Adding 3Y to both sides, we get:

  22Y + 3Y - 5 = -3Y + 3Y - 15

  Simplifying the equation:

  25Y - 5 = -15

  Next, we'll isolate Y by moving the constant term to the other side.

  Adding 5 to both sides:

  25Y - 5 + 5 = -15 + 5

  Simplifying further:

  25Y = -10

  Finally, to find Y, we divide both sides by 25:

  Y = -10/25

  Y = -2/5 or -0.4

2. Equation 2: 4Y - 5(1 - 3Y) = 1 - 3(1 - 4Y)

  To simplify the equation, we will apply the distributive property.

  Expanding the equation:

  4Y - 5 + 15Y - 5(-3Y) = 1 - 3 + 12Y

  Simplifying the equation:

  4Y - 5 + 15Y + 15Y = -2 + 12Y

  Combining like terms:

  19Y - 5 = -2 + 12Y

  Next, we'll isolate Y by moving the constant term to the other side.

  Subtracting 12Y from both sides:

  19Y - 12Y - 5 = -2 + 12Y - 12Y

  Simplifying further:

  7Y - 5 = -2

  To isolate Y, we add 5 to both sides:

  7Y - 5 + 5 = -2 + 5

  Simplifying:

  7Y = 3

  Finally, dividing both sides by 7, we find:

  Y = 3/7 or approximately 0.4286

To summarize, the solution to the given equations are:

Equation 1: Y = -2/5 or -0.4

Equation 2: Y = 3/7 or approximately 0.4286

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Parker has saved $1,200 for him and his
wife to go to an all-inclusive island resort.
He decides to take out a $1,000 simple
annual interest loan at 4.5% for 1 year
and stay in a suite. Is Parker being
financially responsible or financially
irresponsible? What is the monetary value
of his benefit or cost?

Parker has saved $1,200 for him and hiswife to go to an all-inclusive island resort.He decides to take

Answers

Answer:

I mean I think he is because the interest is less now, I still think it's irresponsible to take from his savings but ¯\_(ツ)_/¯

SOMEONE PLEASE HELP ME FIND Y ASAP I REALLY NEED HELP

SOMEONE PLEASE HELP ME FIND Y ASAP I REALLY NEED HELP

Answers

Answer:

Answer is in the picture. hope it helps.

SOMEONE PLEASE HELP ME FIND Y ASAP I REALLY NEED HELP

Answer:

Step-by-step explanation:

*the x is substitued by the given number

*you don't need to put it next to "x"

for example, you put y=1/3x(-9)+2

but it is y=1/3(-9)+2

and the answer is -1

I hope my explanation can help you

1. -1

2. 1

3. 2

4. 4

5. 6

7. 9

how many positive integers are bigger than -3 and smaller than 5?

Answers

Answer:

4

Step-by-step explanation:

1,2,3,4

what is (−1)(−16)(13) =

Answers

Answer:

208

Step-by-step explanation:

(-1)(-16)=16

16×13=208

Can someone explain how to do this. And if you can, can you answer one question and tell me what the color is + show work. Thank you so much!

Can someone explain how to do this. And if you can, can you answer one question and tell me what the

Answers

8x-5=27
8x=32
x=4
Color it red!

1. Add 5 to both sides (combine like terms)
2. divide both sides by 8
3. You get your answer!!
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