A number is selected at random from {1, 2, 3} three times probability that 1 is selected at least once?

Answers

Answer 1

The probability that one is selected is the likelihood

The probability that one is selected at least once is 0.704

How to calculate the probability?

The sample space is given as:

S = {1,2,3}

The probability that 1 is not selected at all is:

P'(None) = 2/3

The probability that one is selected at least once is calculated using the following complement rule

P(At least once)  = 1 - P(None)^3

This gives

P(At least once) = 1 -(2/3)^3

Evaluate

P(At least once) = 0.704

Hence, the probability that one is selected at least once is 0.704

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Related Questions

can some help me out with this EXTRA POINTS!!

Answers

Answer: ≈ 185.73009

Step-by-step explanation:

area of square: [tex]length^{2}[/tex]

area of circle: [tex]\frac{radius^{2} * \pi }{y}[/tex]

length: 15

radius = diameter/2

radius: 5

area of square - area of circle =  area between square and circle:

[tex]15^{2} - \frac{5^{2} * \pi }{2} = 225 - \frac{25\pi}{2}[/tex] ≈ 185.73009

hope it helps!

Please mark as brainliest.

Ram is 3 years younger than Shyam and Krishna is 5 years older than Shyam . If the product of percentages of Ram and Krishna is 48, How old is Shyam?​

Answers

Answer:

Shyam would be 43 years old

Step-by-step explanation:

Ram is 49 years old, since she is 3 years younger than Shyam and Krishna is 48 years old than Shyam

Give an example of dimensions of a pyramid that would result in a volume of 36 cubic units. ​

Answers

Answer:

Step-by-step explanation:

Dimensions: 1 x 1 x 36 or 12 x 3 x 1 or 9 x 4 x 1 or 9 x 2 x 2

The dimensions of a pyramid are usually described in terms of its base and height. The base of a pyramid is the polygonal shape at the bottom of the pyramid, and the height is the perpendicular distance from the base to the apex.

How to find the dimensions of a pyramid?

To find the dimensions of a pyramid with a volume of 36 cubic units, we need to use the formula for the volume of a pyramid:

Volume of a pyramid = (1/3) x Base area x Height

Let's assume that the base of the pyramid is a square with sides of length "a". Therefore, the base area of the pyramid is a x a = a^2.

Now, we can substitute the given volume of 36 cubic units into the formula:

36 = (1/3) x a^2 x h

Multiplying both sides by 3 and dividing by a^2, we get:

h = 108/a^2

So, the height of the pyramid is equal to 108 divided by the square of the length of one side of the base.

We can choose any value for "a" and calculate the corresponding value of "h" that will result in a volume of 36 cubic units.

For example, if we choose "a" to be 3 units, we get:

h = 108/3^2 = 12 units

Therefore, the dimensions of the pyramid are:

Base: 3 units x 3 units

Height: 12 units

Checking the volume using the formula, we get:

Volume of the pyramid = (1/3) x 3^2 x 12

Volume of the pyramid = 36 cubic units

So, a pyramid with a base of 3 units by 3 units and a height of 12 units would have a volume of 36 cubic units.

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#SPJ2

Is each statement true or false?
Explain your answers
A.
[tex]m \: = x[/tex]
B.
[tex]z \: = x + y[/tex]
C.
[tex]m \: = y + z[/tex]
D.
[tex]m = 180 - x[/tex]
E.
[tex]x = 180 - (y + z)[/tex]

(the triangle is on the image)




Answers

Answer:

  A, B: False

  C, D, E: True

Step-by-step explanation:

The angle sum theorem and the definition of a linear pair of angles can help you answer these questions.

A.

  m = x; False. Angles m and x are a linear pair. They are supplementary (total 180°). They are only equal if they are both 90°, which is not indicated in this diagram as being the case.

__

B.

  z = x+y; False. Angles x, y, and z total 180° according to the angle sum theorem. The equation is only true if z = 90°, which is not indicated in this diagram as being the case.

__

C.

  m = y +z; True. This is explained by the equations of D and E, which are also both true. The theorem that expresses this relationship is, "an exterior angle is equal to the sum of the remote interior angles."

__

D.

  m = 180° -x; True. This is exactly what we mean when we say angles m and x are a linear pair. Together, they form a straight line. The angles of a linear pair are supplementary, meaning their sum is 180°. Angle m is also called an "external angle" of the triangle.

__

E.

x = 180° -(y +z); True. The angles of a triangle total 180° according to the angle sum theorem. That means the value of any one of them is the difference between 180° and the sum of the other two. This is effectively telling you that angle x is supplementary to the sum of angles y and z.

Above, we noted that angle x is supplementary to angle m. Angles that are supplementary to the same angle have the same measure, so ...

  m = 180° -x

  180° -x = y +z . . . . . rearrange equation E

  m = y +z

What are the coordinates of the vertex of the function f(x)=x2 10x−3?

Answers

Answer:

A. (-5, -28)

Step-by-step explanation:

The coordinates of the vertex of the function [tex]\rm f(x) = x^2+10x-3[/tex]  is

(-5, -28).

It is given that the function  [tex]\rm f(x) = x^2+10x-3[/tex]

It is required to find the coordinates of the vertex.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have a function:

[tex]\rm f(x) = x^2+10x-3[/tex]

This function represents a parabola.

We know the standard form of parabola in quadratic style:

[tex]\rm f(x)=ax^2+bx+c[/tex]

By comparing the given function to the standard form of parabola, we get

a = 1, b = 10, and c = -3

The vertex of the parabola is given by:

[tex]\rm x = -\frac{b}{2a}[/tex]

Putting the values in the above equation, we get:

[tex]\rm x = -\frac{10}{2\times1} \Rightarrow -5[/tex]

x = -5 put this value in the given parabola function, we get:

[tex]\rm f(-5) = (-5)^2+10(-5)-3\\\rm f(-5) = 25-50-3\\\rm f(-5) = -28[/tex]

or y = -28

The coordintes = (x, y) : (-5 , -28) which is shown in the graph.

Thus, the coordinates of the vertex of the function [tex]\rm f(x) = x^2+10x-3[/tex]  is (-5, -28).

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ASAP PLS An angle measures 72.6° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

Step-by-step explanation:

CAN SOMEONE PLEASE HELP

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {4}^{n} - 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{2}) }^{n} - 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{n}) }^{2} - 1} [/tex]

Now we will use this identity in denominator

[ a² - b² = (a + b)(a - b) ]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ \cancel{(2 {}^{n} - 1)}}{ {( {2}^{n} }^{} + 1) \cancel{( {2}^{n} - 1)}} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ 1}{ {( {2}^{n} }^{} + 1) } [/tex]

Answer:

[tex]\sf \dfrac{1}{2^n+1}[/tex]

Step-by-step explanation:

Given expression:

[tex]\sf \dfrac{2^n-1}{4^n-1}[/tex]

Rewrite [tex]\sf 4^n[/tex]:   [tex]\sf 4^n=(2^2)^n=2^{2n}=(2^n)^2[/tex]

Rewrite 1:  1 = 1²

[tex]\sf \implies \dfrac{2^n-1}{(2^n)^2-1^2}[/tex]

Apply difference of two square formula to the denominator

[tex]\sf a^2-b^2=(a+b)(a-b)[/tex]

[tex]\sf \implies \dfrac{2^n-1}{(2^n+1)(2^n-1)}[/tex]

Cancel out the common factor [tex]\sf 2^n-1[/tex] :

[tex]\sf \implies \dfrac{1}{2^n+1}[/tex]

The volume of a right triangular prism is 72 cubic feet. the height of the prism is 9 feet. the triangular base is an isosceles right triangle. a right triangular prism has a volume of 72 cubic feet. triangles a e c and b f d are the base triangles. sides f d and b f are congruent and form a right angle. the height of the prism is 9 feet. what is the area of the triangular base? square feet what is the length of edge df? feet

Answers

Answer:

8 square feet

Step-by-step explanation:

The formula of a volume of a prism:

We have

Substitute:

            divide both sides by 9

Answer:

8 and 4

Step-by-step explanation:

The first one is 8

The second one is 4

-5(2x - 3) = 15 what is this

Answers

Answer:

x = 0

Divide both sides by the numeric factor on the left side, then solve.

Answer:

x=0

Step-by-step explanation:

1. Solve

-5(2x-3)=15

-10x+15=15

-10x+15-15=15-15

-10x=0

-10x/-10=0/-10

x=0

2. Check

-5(2x0-3)=15

-5(0-3)=15

-5x-3=15

15=15

3. Answer

x=0

Gerard has 365 baseball cards he puts as many of them into piles of 100 how many piles of 100 does he make

Answers

Answer would be 3. 365 / 100 = 3.65, however this is reality math and you cannot have fractional piles. Therefore, 3.

Complete the table.
Milkshakes Cost

Answers

Answer:

3 milkshakes will cost 0.75 cents

4 milkshakes will cost $1.00

Step-by-step explanation:

3 x 0.25 = 0.75

4 x 0.25 = 1.00

Have an amazing day!!

Please rate and mark brainliest!!

A spinner is divided into 4 sections using the latters A, B, C, and D. After 50 trials, the spinner landed on A 14 times, on B 13 times, and on D 16 times. If the spinner is spun again, what is the theoretical probability that it does not land on D? (Enter your answer in fraction form)

Answers

Answer:

17/25

Step-by-step explanation:

P(not red)=Number of Skittles Not Red/Total Number of Skittles

Please help me with this please and thank you

Answers

answer:
(-2,1)
-1,2
0,4
1,8
2,16

Ethan's living room is 11 feet wide and 16 feet long. He wants to put a border around the top of the room. The cost of the border is $1.00 per foot. How much will it cost to buy enough of the border to go around the room?

Answers

56 hopes this helps for you go ahead

1000 masks were distributed equally among a certain number of people. if there were 5 more people more , each would have received 10 masks less. among how many people was the mask distributed ?find it .​

Answers

Answer:

10+5 =15 thanks for asking

A clock cog rotates 150 degrees in 20 minutes. How far will far will the same cog rotate in 70 minutes

Answers

Answer:

525 degrees

Step-by-step explanation:

I think it’s 450
I am not sure but yeah ;)

Find the value of 9u-2 given that -7u-7=7 ?

Answers

Answer:

-20

Step-by-step explanation:

when you solve:  -7u-7=7, you get u= -2 and when you plug it in you get this equation 9(-2)-2=?

then you get -20

Hey there!

-7u - 7 = 7

ADD 7 to BOTH SIDES

-7u - 7 + 7 = 7 + 7

CANCEL out: -7 + 7 because it give you 0

KEEPs 7 + 7 because it help solve for the u-value

NEW EQUATION: -7u = 7 + 7

SIMPLIFY IT!

-7u = 14

DIVIDE -7 to BOTH SIDES

-7u/-7 = 14/-7

CANCEL out: -7/-7 because it give you 0

KEEP: 14/-7 because it give you the

u-value

NEW EQUATION: u = 14/-7

SIMPLIFY IT!

u = -2


SOLVING FOR : 9u - 2

9u - 2

= 9(-2) - 2

= -18 - 2

= -20


Therefore, your answer is: -20

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Aiden paid 45. 15 to stream three movies. All three movies were the same price. How much did each movie cost

Answers

Answer:

Each movie costs $15.05

Step-by-step explanation:

The price that was paid was $45.15

We know that there were 3 movies brought at the same prices.

We want to know how much each movie costs.

This is a simple division problem.

This is because the keywords "same" and also "each"

Do 45.15 divided by 3

45.15/3 = 15.05

Your answer is $15.05

You could verify by adding $15.05 three times.

$15.05 + $15.05 + $15.05 = $45.15

Therefore, Each movie costs $15.05

Which of these numbers is a solution of the inequality 3x>18?

Answers

hello!

Let's solve this inequality:-

3x<18

Divide both sides by 3:-

x<6

So numbers less than 6 will make this inequality [tex]\sf{true}[/tex].

notes:-

You haven't listed any numbers, so I don't know what options you have,

Please list the numbers in the comments & I will edit my answer :)

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

The possible answers are all numbers above 6.

Step-by-step explanation:

3x>18

3x/3> 18/3

x> 6

PLS HELP ASAP PLSSS PLSSS FIRST CORRECT ANSWER GETS BRAINLIEST PLS ANSWER ​

Answers

Answer:

√(23)

Step-by-step explanation:

The Pythagorean Theorem is a² + b² = c²

so...

a = 7

b = 3

7² + 3² = c²

14 + 9 = c²

√(23) = c

PLEASE RATE!! I hope this helps!!

If you have any questions let me know

Brainliest if correct

Answers

Answer:

$294.00

Step-by-step explanation:

Whats the gross pay before taxes?

Answer: $294.00 with overtime and everything.

Heather has a rectangular yard. She measures it and finds out it is 24 1/2 feet long by 12 4/5 feet wide. She wants to know how many square feet of sod she will need to completely cover the yard. a. Draw the yard, and label the measurements. b. How much sod will Heather need to cover the yard? Show your work and/ or explain your reasoning.

Answers

Answer:

313.6 sqft.

Step-by-step explanation

Decimal

First, convert the fractions into decimals to make it easier to multiply. 24 1/2 = 24.5. 12 4/5 = 12.8. 24.5*12.8 = 316.6.

Fraction

First, make the fractions into improper fractions. 24 1/2 = 49/2. = 12 4/5 = 64/5. 49/2*64/5 = 313 3/5 = 313 6/10 = 313.6.

A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?

Answers

Answer: 33

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

if i am 57 years old and i have known someone for 6 and a half years what percentage of my life have i known that person​

Answers

Answer: 11.4%

Step-by-step explanation:

100% of your life is 57 years

?% will be 6.5 years?

this is a simple ratio problem:

57 --> 100%

6.5 ---> (6.5 x 100)/57 ≅ 11.4%

You have known the person for about 11.4% of your life.

can somone help? ill give brainlist

Answers

Answer:

13.99+.75+.75=15.49

Part A ) 15.49

Part B) Anna is correct because her pizza only cost 15.49 and if you subtract 15.49 from 20 it is 14.51

Step-by-step explanation:

The human resources department at a large company regularly conducts an employee satisfaction survey. One item on the survey presents employees with the statement, “I am happy overall at work.”
Please help me:)

Answers

Answer: C

Step-by-step explanation:

Khan academy

The response that contributed most to the test statistic about human resources department is C. Disagree.

What is test statistic?

It should be noted that test statistic simply means a random variable that is used in hypothesis testing.

In this case, the response that contributed most to the test statistic about human resources department is to disagree. This is because there is sufficient evidence to show that they distribution of response is different now than it was before.

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The sixth-grade students at Madison Middle School had a walkathon to raise money for their

local hospital. Their principal tracked how much money each student raised. This box plot

shows the results.

Money raised ($)

20

40

60

80

100

120

What percent of the students raised more than $40?

%

Answers

50% of the sixth-grade students at Madison Middle School raised more than $40

What is a box plot?

A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.

From the diagram, the median is $40. Hence 50% of the student raised more than $40

Find out more on box plot at: https://brainly.com/question/14277132

if the circumference of a circle is 4πrcm, find diameter​

Answers

Answer:

1.274cm

Step-by-step explanation:

5. A rectangle has an area of 16 cm². Do you know its length?

Answers

Answer:

144 [tex]cm^2[/tex]

Step-by-step explanation:

Answer:the answer were to your question is 4

Step-by-step explanation:

Put me on brainlyiest pls

Pls help me with this

Answers

range is the highest minus the lowest

Step-by-step explanation:

so a is 599- 132 = 467

for b median is the middle number 132 and 599

so u add them then divide by 2 so the answer of b is 365.5

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In such measures as I may be called on to pursue in regard to the rights of the separate States I hope to be animated by a proper respect for those sovereign members of our Union, This I shall aim at the more anxiously both because it will facilitate the extinguishment of the national debt, the unnecessary duration of which is incompatible with real independence, that the spirit of equity, caution and compromise in which the Constitution was formed requires that the great interests of agriculture, commerce, and manufactures should be equally favored As long as our Government is administered for the good of the people, and is regulated by their will; as long as it secures to us the rights of person and of property, liberty of conscience and of the press, it will be worth defending "According to Jackson, what is required of the national government for it to "be worth defending"? The national government must favor the interests of agriculture over all others. 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