If a six-sided number cube is rolled 5 times, what is the probability of getting at least one multiple of 3?

Answers

Answer 1

The probability of getting at least one multiple of 3 when a six-sided number cube is rolled 5 times is 1/7776 or 0.01%.

What is probability?

Probability shows the likelihood of an event happening.  it can be calculated by dividing the number of outcomes of an event by the total number of possible outcomes or sample space. Probability is equal to '1' when the event is certain to occur. i.e P =1.

Probability of getting at least one multiple of 3 = 1/6.

Probability of getting at least one multiple of 3 five times = probability of getting at least one multiple of 3 first time×probability of getting at least one multiple of 3-second time×probability of getting at least one multiple of 3 third time ×probability of getting at least one multiple of 3 fourth time ×probability of getting at least one multiple of 3 fifths time.

Probability of getting at least one multiple of 3 five times

= (1/6) × (1/6) × (1/6) × (1/6) × (1/6)

= 1/7776.

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Related Questions

If a person travels 440 meters in 11 seconds, what is the average speed of the person?

Answers

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

Which of the following expressions has a value of 3? Select all that apply.
-6 ÷ -2
4 - (-1)
(-1)(-3)
(-2) - 1
15 ÷ -5
4 + 1
asap on a quiz

Answers

Answer: -6 ÷ -2    ,  (-1)(-3)  ,  and 4 + 1

Step-by-step explanation:

From Rome, Paul planned to visit _____.

Macedonia
Spain
Corinth

Answers

Answer: Spain

After Rome, St.Paul wanted to go to Spain.

Step-by-step explanation:

Paul planned to visit Macedonia

PLEASE HELP!! THIS IS DUE TODAY!

Estimate the quotient.


3,411 divided by 53


The estimate is: ___

Answers

The quotient of the given expression is 68.

What is the quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

For the given problem,

To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.

Given, 3411 divided by 53

So, the rounding value becomes 3400 divided by 50,

then, 3400/50 = 68

Hence, the quotient is 68.

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2x+3y=6
−4x+3y=12

Answers

The best way to start off this question is to get rid of the y value as the y value is already equal in both equations. T[tex]-1[/tex]o get rid of the y value, subtract the 2 equations together.

[tex]6x=-6[/tex]

[tex]x=-1[/tex]

Now that you have solved x, you can replace any x value (from either equation). In this scenario, the first equation is easier to solve for the y value.

[tex]2(-1)+3y=6\\-2+3y=6\\3y=8\\y=\frac{8}{3}[/tex]

Thus,

x = [tex]-1[/tex] and y = [tex]\frac{8}{3}[/tex];    [tex](-1,\frac{8}{3} )[/tex]

Hope this helped :)

Determine whether the point is on the graph of the equation 2x + 7y =13 (3,1) yes or no

Answers

Step-by-step explanation:

i think its no, but im not sure.

find the differece of 7/10 and 4/40 select all that applly
A.32/40
b.24/40
c.3/5
d.1 3/5
e.24/10​

Answers

Answer:

Both answers C & E are correct

Step-by-step explanation:

[tex]\sf\frac{7}{10}-\frac{4}{40}[/tex]

First, make the denominator the same to solve the fraction.

For that, multiply both the numerator and denominator by 4 in the fraction 7/10.

[tex]\sf\frac{7*4}{10*4}-\frac{4}{40}\\\\\sf\frac{28}{40}-\frac{4}{40}\\\\\sf\frac{28-4}{40}\\\\\sf\frac{24}{40}[/tex]

To write the answer in its simplest form divide both the numerator and denominator by 8.

[tex]\sf\frac{3}{5}[/tex]

Therefore, the answer is [tex]\sf\frac{24}{40}[/tex] = [tex]\sf\frac{3}{5}[/tex]

WORK OUT ASAP PLEASE

The diagram shows a right-angled triangle.
80%
10cm
Х°
21cm
Find the size of angle x.
Give your answer correct to 1 decimal place.

Answers

Answer:

x° ≈ 25.5°

Step-by-step explanation:

The relationship between the two given sides and angle x are Opposite and Adjacent. So we'll use tan(x) = 10/21 to start.

Take the Inverse tan (tan⁻¹) to find x:  x = tan⁻¹(10/21) ==> calculator

Answer:

x = 25.5°

Step-by-step explanation:

First find the hypotenuse of the right triangle given by the formula

[tex]c = \sqrt{a^{2} + b^{2}}[/tex]

where c is the hypotenuse and a, b the two sides

Let's call the vertical leg as a and the horizontal leg as b

Then we have a = 10, b = 21

So

[tex]c = \sqrt{10^{2} + 21^{2}}\\\\c = \sqrt{100 + 441}\\\\c = \sqrt{541}\\\\c = 23.2594\\\\\\[/tex]

By the law of sines, the ratios of the sides of a triangle to the sine of the angles opposite must be the same. The hypotenuse is opposite the 90° angle. and the side of length 10 is opposite angle x

So
[tex]\dfrac{23.2594}{\sin 90} = \dfrac{10}{\sin x}[/tex]

But  sin 90 = 1. So the above equation reduces to

[tex]2.2594 = \dfrac{10}{\sin x}\\\\\\\implies \sin x = \dfrac{10}{23.2594}\\\\\implies \sin x = 0.43\\\\\\\\x = sin ^{-1}(0.43) = 25.4675\\\\[/tex]

Rounded to 1 decimal place
x = 25.5°

Round each fraction to 0,1/2, or 1…… 7/12 5/6 2/11 4/9

Answers

Answer:

1/2, 1, 0, 1/2

Step-by-step explanation:

We can solve this by rounding each fraction to either 0, 1/2, or 1.

The first fraction, 7/12, is pretty close to 6/12, which is 1/2 of 12.

So we can round this to 1/2.

The second fraction, 5/6, is closer to 6/6 (1) than 3/6 (1/2).

So we can round this to 1.

The third fraction, 2/11 is closer to 0 than 5.5/11 (1/2).

We can round this to 0.

4/9 is closer to 4.5/9 (1/2) than 0.

We can round this to 1/2.

Therefore, when we round all of these fractions, we are left with 1/2, 1, 0, 1/2.

8 - 90 + 2x = 36
What will this. I need help

Answers

Answer: x = 59

Step-by-step explanation:

i dont know what you are trying to figure out but x = 59 im guessing u need

Answer:

Step-by-step explanation:

First, add

90

and subtract

2

x

from each side of the equation to isolate the

x

term while keeping the equation balanced:

8

x

90

+

90

2

x

=

2

x

36

+

90

2

x

8

x

2

x

90

+

90

=

2

x

2

x

36

+

90

(

8

2

)

x

0

=

0

+

54

6

x

=

54

Now, divide each side of the equation by

6

to solve for

x

while keeping the equation balanced:

6

x

6

=

54

6

6

x

6

=

9

x

=

9

I need help with this please help me

Answers

Answer: 67.38

Step-by-step explanation:

Assuming that [tex]\triangle ACD \cong \triangle BCD[/tex], [tex]m\angle BCD=\frac{134.76^{\circ}}{2}=67.38^{\circ}[/tex] by CPCTC.

According to Newton's Law of Cooling, if a body with temperature T₁ is placed in surroundings with temperature To, different
from that of T₁, the body will either cool or warm to temperature T(t) after t minutes, where T(t) = To + (T₁-To)ekt
A metal pan with temperature 120°F is placed in a freezer with temperature 0°F. After 5 minutes, the temperature of the pan
is 80°F. Use Newton's Law of Cooling to find the pan's temperature after 15 minutes.
After 15 minutes the pan will have a temperature of °F.
(Round to the nearest integer.)

Answers

After 15 minutes the pan will have a temperature of 36°F

How to determine the temperature of the pan after 15 minutes?

Newton's Law of Cooling, if a body with temperature T₁ is placed in surroundings with temperature To, different from that of T₁, the body will either cool or warm to temperature T(t) after t minutes, where T(t) = T₀ + (T₁-T₀)e^(kt)

Given: T₁ = 120°F,  T₀ = 0°F. After 5 minutes, T(t) = 80°F

T(t) = T₀ + (T₁-T₀)e^(kt)

80 = 0 + (120-0)e^(5k)

80 = 120e^5k

e^5k = 80/120

e^5k = 2/3

5k = ln(2/3)

k = ln(2/3) / 5

k = -0.0811

The temperature of the pan after 15 minutes will be:

T(t) = T₀ + (T₁-T₀)e^(kt)

T(15) = 0 + (120-0)e^(-0.0811×15)

T(15) = 120e^(-0.0811×15)

T(15) = 36°F

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Can you guys please help?
A science fair has 405 projects. The coordinator displays the projects in rows of 42. How many rows have exactly 42 projects?
I really do not understand this. It would really help me if after you have answered the question, you could explain how you got that answer. Thank you!

Answers

Total 9 rows will have exactly 42 projects.

What are the fundamental mathematical operations?

The Fundamental mathematical operation are Addition,Subtraction

Multiplication and Division.

Given,

The total number projects in the science fair is 405.

The  coordinator displays the projects in rows of 42.

To know the exact number of rows having 42 projects

we will divide total project by 42 i.e; 405/42.

The quotient will be the number of row exactly having 42 projects

and the last row will contain less than 42 projects which is remainder.

i.e;  Dividing 405 by  42

    quotient will be 9.

      remainder will be 27.

So,Total 9 rows will have exactly 42 projects.

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If this net were to be folded into a
cube, which number would be
opposite of the number 1?

i need the answer please

Answers

Answer:

5

Step-by-step explanation:

The squares with 2, 6, 4, 3 will be all the left, front, right, back sides. The 1 and 5 will flap up/down to be the top and bottom. So 1 and 5 will be opposite from each other.

What expression represents the verbal phrase? 450 minus the quantity three-tenths times a number x

Answers

Answer:

Step-by-step explanation:

Answer:  "450" - "0.3" x

Step-by-step explanation: the quantity of 3 tenths is 3/10, or in other words, 0.3 because 3 divided by 10 is 0.3

Furthermore, "times a number x" just means " [tex]\frac{3}{10}x[/tex]

An initial sample of 171 g of a radioactive substance decays according to the function
A(t) = 171e ^ - 0.04(t) where t is given in years?

a) How many grams of the substance will remain after 59 years? Round your answer to the nearest decimal place.

b) What is the half-life of the substance? Round answer to the one decimal place.

Answers

There will be 0.48 grams will be left in the sample after 59 years.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

Since we have given that initial sample of 171 g of a radioactive substance decays according to the function

[tex]A(t) = 171e ^ {- 0.04(t) }[/tex]where t is given in years

Here, Initial amount of radioactive substance = 171 grams

We need to find the amount of substance that will be left in the sample after 59 years.

So, t = 59 years

So, it becomes,

[tex]A(t) = 171e ^ {- 0.04(59) }\\\\A(t) = 0.48[/tex]

Hence, there will be 0.48 grams will be left in the sample after 59 years.

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If you invest $5400 in a savings account at 5.8%,
how much interest will you earn is 6 years?

Answers

Answer:

116.64

Step-by-step explanatio hope this helps

Isaac is going to a carnival that has games and rides. Each game costs $1.50 and each ride costs $5. Isaac spent $44.50 altogether at the carnival and the number of rides he went on is 5 more than the number of games he played. Determine the number of games Isaac played and the number of rides Isaac went on.

Answers

Answer:

g-games

r-rides

1.5 g + 2.5r= 16.5

g=2r

Step-by-step explanation:

g: # of games played

r: # of rides ridden

total amount spent:  1.50g + 2.50r = 16.50

relationship of games to rides: g = 2r

Hope this helped! :D

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The number of games is 3.

The number of rides is 8.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of rides = m + 5

Number of games = m

Now,

Each game costs $1.50 and each ride costs $5. Isaac spent $44.50 altogether at the carnival.

This means,

1.50m + 5(m + 5) = 44.50

1.50m + 5m + 25 = 44.50

6.50m = 44.50 - 25

m = 19.5/6.50

m = 3

Now,

The number of games = 3.

The number of rides.

= m + 5

= 3 + 5

= 8

Thus,

The number of games is 3.

The number of rides is 8.

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y = x² - x - 22
y = x - 7

Answers

Answer: Solve for the first variable in one of the equations, then substitute the result into the other equation.


Point Form:

(5,−2),(−3,−10)


Equation Form:

x=5,y=−2x=5,y=-2

x=−3,y=−10x=-3,y=-10



Maybe want something different then here:

X intercepts- (7,0)

Y intercepts- (0, -7)

1/2-(-5/6) answer please

Answers

Answer:

Your answer is [tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

(attached)

Answer:

[tex]1 \frac{1}{3}[/tex] or 4/3 or 1.3333...

Step-by-step explanation:

1/2--5/6

When you subtract a negative, it is the same as adding a positive. 1/2+5/6

Create like denominators:

3/6+5/6

Simplify:

8/6

1 1/3 or 1.3333...

PLEASE MARK AS BRAINLIEST

Find the slope of the line that passes through all of the points
on the table.

Someone help I’ll give brainliest

Answers

Answer:

9

Step-by-step explanation:

Slope is rise over run, and we can see on the char that every time the x-value increases by 1, the y-value increases by 9, so the slope is 9/1, or 9.

100 points
How many males are currently not enrolled in Composition 1?
35
46
89
124

Answers

Answer:

A) 35

---------------------

Use the given values in the table and find the missing ones.

The first two rows add up to the last row and same for the columns.

1) Find the Row total for Males:

251 - 127 = 124

2) Find the number of Males not enrolled in Composition 1:

124 - 89 = 35

Correct choice is A.

I got it wrong but SOS

Answers

well, the wording is


"the yards from their goal line as a function of the number of plays"

the number of plays is the independent variable, meaning the dependent variable is the number of yards, hmmm so they're about to start their play on the 5-yard line, meaning the number of plays at this point is 0, zilch, then they move on each 3 plays by 10 yards, so let's make a table

[tex]\begin{array}{ccll} Plays&Yards\\ \cline{1-2} 0&5\\ 3&\underset{5+10}{15} \end{array}\hspace{5em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{15}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{15}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{0}}} \implies \cfrac{10 }{ 3 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{ \cfrac{10 }{ 3 }}(x-\stackrel{x_1}{0})\implies y-5=\cfrac{10}{3}x[/tex]

oddly enough, looks like yours :)

200(x-.3)=600 What is the value of X

Answers

Answer: X= 3.3                    or                          x= 33/10

x=33/10

Hope this helps!

The formula for the perimeter of a rectangle is P = 2l + 2w. Solve the
formula for w in terms of P and l.

Answers

Answer:

P-2l/2=w

Step-by-step explanation:

P = 21 + 2w

Solve for w

Subtract 21 from both sides.

P - 21 = 2w

Divide both sides by 2.

P-21/2 = w

Find [tex] \frac{dy}{dx} [/tex] if [tex]x = a( \theta - \sin \theta)[/tex], [tex]y = a(1 + \cos \theta)[/tex] Or Prove that [tex] \frac{dy}{dx} = - \cot (\frac{ \theta}{2} )[/tex]

Answers

Hope this answer helps you

A local charity sells a total of 460 tickets to a golf tournament fundraiser. A member ticket costs $50. A non-member ticket costs $65. How many non-member tickets were sold if the total ticket sales are $24,065?
A4
B 65 C 71 D 389

Answers

Answer:

C (71)

Step-by-step explanation:

Hi there! I am very happy to answer your question!

[tex]65x+23000-50x=24065[/tex]

[tex]15x+23000=24065[/tex]

[tex]15x=24065-23000[/tex]

[tex]15x=1065\\[/tex]

[tex]x=\frac{1065}{15}[/tex]

[tex]x=71[/tex]

Rodrigo pays $165.40 per month on his car loan.
How much does he pay on his loan in 1 year?

Answers

Answer:

$1984.80

Step-by-step explanation:

165.40 times 12 equals 1984.80

Answer:

He pays $1984.80 on his loan in one year.

Step-by-step explanation:

If he pays 165.40 per month, and there are 12 months in one year, then we must multiply the values together.

165.4*12 = 1984.8

He pays $1984.80 on his loan in one year.

PLS HELP IF I GET AN 80 OR HIGHER I GET A DOG!! ILL GIVe BRAINLIEST

Answers

Answer:

-14

Step-by-step explanation:

x = 98

x = -7x

98/-7 = -14

x = -14

If it is correct, can you please give me a brainliest? Thank you!

what is the slope of y – 5 = –4x,

3y – 9 = –6x

Answers

Answer:   -4,-2

Step-by-step explanation:

(i)Take y-5=-4x

Make y as subject of formula i.e. y=-4x+5

Now compare it with y=mx+c

Then Slope m=-4

(ii) 3y-9=-6x

Making y as subject of formula i.e. 3y=-6x+9

Divide through by 3

then it will become y=-2x+3

Now comparing it with y=mx+c

then Slope m=-2

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a pediatric patient with a weight of 20 kg is prescribed diphenoxylate with atropine for diarrhea. the dosage is 0.3 mg/kg/day in four divided doses. how many milligrams will the nurse administer for each dose? 11. the chihuahua is a dog that exista because of a. natural selection b. artificial selection c. resistance. d. abiotic factors atmospheric stability and wind conditions control group of answer choices the vertical and horizontal dispersion of pollutants the quantity of pollution emitted into the atmosphere from industrial and mobile sources. the rate of photochemical reactions taking place. the increased use of fuel for heating or cooling 02.09 Integrity Assessment InstructionsYou now have a good idea of what values are and how to be sure the choices you make help you live with integrity. Now it is your turn to dig deep into your personal and family values and reflect on how your actions and goals show those values. There are three parts to this assessment. Read about all the requirements, including the rubric, before beginning.Part I: What do you value?Set aside some time with a parent or guardian or with your entire family. During this time, discuss what you value as a family. As you talk, make a list. Submit five values from your list.Reflection: Think about your individual values. How do your individual values compare to your familys values, and how do your individual values differ from your familys values? Explain this in four to six sentences.Part II: Look at your GoalsGet out the goals you created. Where can you see your family and individual values in the goals you created? Match up five of the family or individual values you discussed in Part I with specific goals you see on your list of goals.Reflection: Are there family or individual values you wrote about in Part I that do not have any goals that match them? If this is the case, reflect on how you can add to or change some of your goals. If all your values from Part I can be seen in the goals on your Life List, reflect on how you can see those values in the goals. Write about this in four to six sentences.Part III: Do you sell out?Look at the short-term and long-term steps on the goals. How do your current behaviors match those short-term and long-term steps to success? In other words, what actions are you taking right now that match these values? How do you show integrity? List five examples.Reflection: Are there times when you see yourself selling out? When are the moments when your actions (short-term and long-term steps) do not match your goals? Are you willing to compromise your integrity? Write about this in four to six sentences.All reflections should be written in complete sentences. To be sure your answers are in complete sentences, include part of the question in your answer. 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Which male character appears in the upper right box during the opening credits of the brady bunch? mike. what is known as the net movement of any type of molecule from a region of higher concentration to a region of lower concentration : at low ph you may have seen high absorbance even in the control samples that never had the enzyme added to them. why? what is causing the production of glucose in these samples? the nurse is conducting a health history of a child. the parent states that the client continually has a cold all winter with a runny nose, is not doing well in school, and is itching all the time. the nurse suspects the child has which condition? Julian is working on a form in Access, as shown below.(i couldnt find the image on this one sorry)Julian would like to create a subform using "frmOrderDetails. Which steps should he follow?a. He should right-click on the form under the Forms list and choose Embed from the drop-down list.b. 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