A six-sided die is thrown three times. What is the probability of getting a prime number on all three rolls?​

Answers

Answer 1

Answer:

3/216

Step-by-step explanation:

The sample space for this experiment is 6^3 which is 216

there are three prime numbers on  die

namely 2 , 3 and 5

so the probability of getting a prime number on all three roles would be

(3/6)^3


Related Questions

I need help for solving y in this problem 2x -y =1​

Answers

Answer:

y = 2x - 1

Step-by-step explanation:

Given equation: 2x - y = 1

We're being asked to solve for y. This is also known as the Slope-Intercept Form. It is represented by the following formula:

y = mx + b

where:

m is the slopeb is the y-intercept (when x = 0)

Steps:

1. Subtract 2x from both sides:

[tex]\sf 2x-2x - y = 1-2x\\\\\implies-y=-2x+1[/tex]

2. Divide both sides by -1:

[tex]\sf \dfrac{-y}{-1}=\dfrac{-2x+1}{-1}\\\\\implies y=2x-1[/tex]

This equation has a slope of 2, and a y-intercept of -1.

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Dr. Silas studies a culture of bacteria under a microscope. The function b1t=500(1.6)t represents the number of bacteria t hours after Dr. Silas begins her study. Is this an exponential growth or decay? Explain how you know. What does the value 500 represent in this situation? The number of bacteria in a second study is modeled by the function b2t=800(1.6)t. What is the growth rate, r, for this equation? What does the difference of 500 and 800 mean between the two studies?

Answers

Answer:

b is your answer

Step-by-step explanation:

Help please due in a couple minutes:,)

Answers

Answer:

The amount of air in a leaky tire.

Step-by-step explanation:

The plot shows a decrease with time (I'll assume the x axis is time).

Which of the answer options would one expect a decrease over time.

A leaky tire?  YES

Hair length with soda?  NO

Cost of a meal when adding appetizers?  NO

Answer:

a. the amount of air in a leaky bicycle tire as time increases.

Step-by-step explanation:

since the scatter plot is descending(y), then we can infer whatever is being recorded is decreasing as time goes on (x)

a. is a great example, as you have a leak in a bicycle tire the air will decrease.

b. does not make any rational sense, since soda does not affect an individual's hair length.

c. does not make sense since the plot is getting smaller over time, therefore adding prices (of said appetisers) makes the cost go up not down.

therefore your answer is a. the amount of air in a leaky bicycle tire as time increases.

hope this helps:)

the cost of kg of apples is $262.50. find the cost of 25 kg of apples

Answers

Answer:

Step-by-step explanation:

cost of 25 kg =262.50x25

                      =6562.5

The data set represents the number of minutes dan spent on his homework each night. 30, 35, 35, 45, 46, 46, 52, 55, 57 which box plot correctly represents the data?

Answers

The box plot that represents the data is the first option.

What box plot correctly represents the data?

A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. The end of the first whisker represents the minimum number and the end of the second whisker represents the maximum number.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

Minimum value = 30

Maximum value = 57

1st quartile = 1/4 (n + 1)

1/4 x 10 = 2.5th term = 35

Third quartile = 3/4 x (n + 1 )

3/4 x 10 = 7.5 term = 53

Median = 46

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Lilly is a pizza driver. Lilly has to make 4 deliveries.
Delivery 1: 35 Minutes
Delivery 2: 14 Minutes
Delivery 3: 18 Minutes
Delivery 4: 27 Minutes
What is the average amount of time it takes to deliver pizza?

Answers

Answer:

23 min 30 sec

Step-by-step explanation:

First, you add 35 + 14 + 18 + 27 which is 94.
Next, you divide 94 by the number of deliveries there were. Which is 4.
94/4 = 23.5.
So your answer would be 23 minutes and 30 seconds.

I Hope This Helped :D

Answer:

23.5 minutes or 23 minutes and 30 seconds

Step-by-step explanation:

1. add all the minutes

35 minutes + 14 minutes + 18 minutes+ 27 minutes = 94 minutes

2. Divide the total amount of minutes by the number of deliveries

94 minutes =  23.5 minutes or 23 minutes and 30 seconds

4 deliveries

2,753 people go to a concert and tickets cost $5 each. If it costs $8,000 to put on the concert, how much money was made?

Answers

5765 was made, if you do 2753(5)-8000 you get 5765

Answer:

Money made by tickets=

2753 x $5 = $13765

We have to subtract the cost of the concert from the money made by tickets to get our profit. Therefore,

$13765 - $8000 = $5765

Solve for y.



Enter your answer in the box.

Answers

Answer:

y=10

Step-by-step explanation:

Since this triangle has equal length sides, it is equilateral and also has equal measured angles. This means that each angle is 180/3=60 degrees.

To solve for y, we can do 5y+10=60. Simplifying, we get

5y=50

y=10.

Answer:

4

Step-by-step explanation:

So all the angles will have the same value. In a triangle all the angles will add up to 180, so each angle would have to be 60 degrees. So to know Y we need 6x+6=5y+10.  So subtract 10 from each side, then subtract 6x from each side to get 4=x

Assume that y varies inversely as x. if y=8 when x=-2 find y when x=4

Answers

The value of y will be -4 when the value of x is 4.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The equation of the given condition will be given as:-

y = [tex]\dfrac{k }{x}[/tex]

At y = 8 when x = -2 so

8 = [tex]\dfrac{k}{-2}[/tex]

k = -16

The value of y at x = 4 will be calculated as:-

y = [tex]\dfrac{-16}{4}=-4[/tex]

Therefore the value of y will be -4 when the value of x is 4.

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How do u solve 3/8+1/8-2/7+1/4

Answers

Answer:

13/28

Step-by-step explanation:

using pemdas we can determine that the equation is directly solves from left to right

so

first

we have

3/8 + 1/8

which is 4/8

you can simplify this to 1/2

then you have 1/2 - 2/7

you must make them have the same numerator

you can multiple 1/2 by 7/7 and 2/7 by 2/2

7/14 - 4/14 = 3/14

now you must add 3/14 and 1/4

but you to make them have the same numerator

so you multiply 3/14 by 2/2 and 1/4 by 7/7

6/28 + 7/28 = 13/28

that is your final answer

which expressions are equivalent to this exponential expression?
6-10/6-4

A. 6-^6
B. 6^6
C. 1/6^6
D. 1/36

Answers

Step-by-step explanation:

Hi There! Let me help you :)

Known

[tex] = \frac{ {6}^{ - 10} }{ {6}^{ - 4} } [/tex]

[tex] \: [/tex]

Asked

Simplify form.

[tex] \: [/tex]

Answer

[tex] = \frac{ {6}^{ - 10} }{ {6}^{ - 4} } [/tex]

[tex] = {6}^{ - 10 - ( - 4)} [/tex]

[tex] = {6}^{ - 6} [/tex]

[tex] = {6}^{ - 6} \: \text{or} \: \frac{1}{ {6}^{6} } [/tex]

There are 2 answers, it's A and C.


A biologist is studying the effects of using a type of bacteria to clear drain pipes. She creates a simulation of a typical kitchen drain system and
uses it regularly for three days before introducing the bacteria. She then carries out her simulation for another 15 days.
The population of bacteria can be approximated using function b, where dis the number of days since she started the experiment and (d) is the
bacteria population in hundreds.
b(d) = √5.2d-15.6 +2
Use this information to complete the statement.
The domain over which the bacteria population Increases is

Answers

The domain over which the bacteria population Increases is [tex]d \ge 3[/tex]

How to determine the domain?

The function is given as;

[tex]d = \sqrt{5.2d - 15.6} + 2[/tex]

Set the radicand greater than or equal to 0

[tex]5.2d - 15.6 \ge 0[/tex]

Add 15.6 to both sides

[tex]5.2d \ge 15.6[/tex]

Divide both sides by 5.2

[tex]d \ge 3[/tex]

Hence, the domain over which the bacteria population Increases is [tex]d \ge 3[/tex]

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Which of the following is the quadratic parent function?
A. F(x) = x + 1
B. F(x) = Ixl
C. F(x)=x²
D. F(x) = 2x

Answers

Answer:

C

Step-by-step explanation:

A quadratic has to have an exponent of 2 somewhere. The only one of these functions that does is C

The quadratic parent function is f ( x ) = x²

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

f ( x ) = x²

The graph of the function f(x) = x² is a parabola that opens upward, symmetric with respect to the y-axis, and its vertex is at the origin (0, 0)

Now , the value of y is the square of x

Hence , the parent function is f ( x ) = x² and graph is plotted

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Juniors and seniors were surveyed about whether they plan to attend a school dance.

94 out of 130 juniors plan to attend.
12 out of 140 seniors do not plan to attend.

The following table shows the results.
(see attachment for table)

What mistake was made in the table?

A. The total for the number of seniors is incorrect
B. The responses for the juniors are reversed
C. The number of juniors attending is incorrect
D. The responses for the seniors is incorrect

Answers

Mistake D. The response from seniors was reversed.

Answer:

The responses for the seniors are reversed.

Hope this helped!

Describe all of the transformations occurring as the parent function f(x) = x^3 is transformed into g(x) = -0.5(3(x+4))^3 -8

Answers

Step-by-step explanation:

The translations of the typical functions are

[tex]y = a(bx + c) + d[/tex]

Where a is the vertical translation,

If a is greater than 1 or less than -1, we have a vertical stretch

If a is between -1 and 1 , we have a vertical compressions or shrink.

If a is negative, we have a negative reflection across the x axis.

If b is greater than 1 or less than -1, we have a horizontal compression or shrink

If b is between -1 and 1, we have a horizontal stretch

If b is negative, we have a reflection about the y axis,

If c is negative, we have a translation to the right c units

If c is positive, we have a translation to the left c units

If d is positive, we have a translation upward d units

If d is negative, we have a translation downward d units.

Here in this problem, our parent function is x^3.

So I would do the following transformations.

Reflect about the x axis Vertical Shrink by a factor of 1/2Horizontal Shrink by a factor of 3Shift to the left 4 unitsShift downward 8 units.

Shape x is translated by 4 units to the right and 1 unit down, what are the coordinates of c'

Answers

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of objects. The coordinates of c' are (a+4, b-1).

What are coordinates?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

Let the coordinates of c be represented by (a,b). Now, if the shape x is translated by 4 units to the right and 1 unit down. Then, the coordinates of c' are:

c = (a, b)

c' = (a+4, b-1)

Hence, the coordinates of c' are (a+4, b-1).

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A rectangular prism has a length of 8 in., a width of 4 in., and a height of 2 1/4 in.

The prism is filled with cubes that have edge lengths of 14 in.

How many cubes are needed to fill the rectangular prism?



Enter your answer in the box.
To fill the rectangular prism,
cubes are needed.

Answers

The number of cubes needed to fill the rectangular prism 4608 cubes.

How to find volume of rectangular prism and cube?

volume of rectangular prism = lwh

where

l =lengthw = widthh = height

Therefore,

volume of the rectangular prism = 8 × 4 × 9 / 4 = 72 inches³

volume of the cube = l³

where

l = length

Therefore,

volume = (1 / 4)³

volume of the cube = 1  / 64 inches³

Therefore,

The number of cubes needed to fill the rectangular prism = 72 ÷ 1 / 64

The number of cubes needed to fill the rectangular prism = 72 × 64 = 4608

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Matching a Table to a Graph On a coordinate plane, a line goes through points (negative 1, 0), (0, 1), and (1, 2). Which table goes with the graph? A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries 0, 4, 6, 8. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries 0, 2, 4, 6. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries 0, 1, 2, 3.

Answers

At x = -1 , 0 ,1 ,2 , the y value = 0, 1, 2, 3, Option C is the correct answer.

What is a Function ?

A function is a law that relates a dependent variable to an independent variable.

The points of line are

(- 1, 0), (0, 1),(1, 2).

The equation of the line formed will be

y = mx +c


[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

m = 1

y = x +c

at x = 0 , y =1

c = 1

The equation is

y = x+1

The option 1 is

x = - 1, 0, 1, 2.

y1 = 0, 4, 6, 8.

y2= 0, 2, 4, 6

y3 =0, 1, 2, 3.

From the equation

at x = -1 , 0 ,1 ,2

the y value = 0, 1, 2, 3

Therefore Option C is the correct answer.

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Amanda think of a number, a. She subtract 4 then multiples the result by 2. Write an expression for her number?

Answers

(X - 4 ) x 2 = X

You subtract X from four then you get your answer next to multiply your answer by two resulting in an answer….. the answer is the expression I wrote above.

Mariana runs a farm stand that sells bananas and grapes. Each pound of bananas sells for $1 and each pound of grapes sells for $2.25. Mariana made $72 from selling a total of 52 pounds of bananas and grapes. Graphically solve a system of equations in order to determine the number of pounds of bananas sold, x, and the number of pounds of grapes sold, y.

Answers

Answer:

jackson sold 27 pounds of bananas and 12 pounds of grapes :D

Step-by-step explanation:

Taking into account the definition of a system of linear equations, the number of pounds of bananas and grapes sold are 36 and 16 respectively.

System of linear equations

A set of two or more first-degree equations with two or more connected unknowns is referred to as a system of linear equations.

Finding the value of each unknown in order to satisfy all of the system's equations constitutes the process of solving an system of equations. To put it another way, it is necessary to find the values of the unknowns, as they must be replaced with values that, when used to solve the equations, is the process of solving a system of equations

This case

In this case, a system of linear equations must be proposed taking into account that:

"x" is the number of pounds of bananas sold."y" is the number of pounds of grapes sold.

You know:

Each pound of bananas sells for $1 and each pound of grapes sells for $2.25. Mariana made $72 from selling a total of 52 pounds of bananas and grapes.

The system of equations to be solved is

x +y= 52

x + 2.25y= 72

There are several methods to solve a system of equations, it is decided to solve it using the graphical method. The system's equations are graphically represented by graphs in the graphical method. The solution of the system is the point of intersection between the graphs, since the coordinates of said point satisfy both equations.

Graphically, it can be seen that the intersection point is (36; 16). That is, the value of x is 36 and the value of y is 16.

Finally, the number of pounds of bananas sold are 36 and the number of pounds of grapes sold are 16.

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Help me solve please with in depth explanation

3. The table shows information about the times for 100 people to complete a task.​

Answers

Answer:

kuch bhi hai one kutiya kamini sour hii byy

helppppp will give brainliest

Determine whether the relationship is an inverse variation or not. Explain.

a The product xy is not constant, so the relationship is an inverse variation.

b The product xy is constant, so the relationship is not an inverse variation.

c The product xy is constant, so the relationship is an inverse variation.

d The product xy is not constant, so the relationship is not an inverse variation

Answers

Answer:

The product xy is constant, so the relationship is an inverse variation.

Step-by-step explanation:

Inverse variation is the mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases.

Here, the product xy is constant and gives the product as 960.

The relationship is inverse relationship.

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The international air transport association surveys business travelers to develop quality ratings for transatlantic gateway airports. the maximum possible rating is 10. suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the miami international airport. the ratings obtained from the sample of business travelers follow. 8 8 4 0 5 5 5 4 4 4 4 3 10 6 10 10 0 8 5 4 3 2 4 7 8 9 10 8 4 5 5 4 4 3 8 9 9 5 3 9 8 8 5 10 4 10 5 5 3 3 develop a confidence interval estimate of the population mean rating for miami. round your answers to two decimal places. ( , )

Answers

Using the t-distribution, the 95% confidence interval of the population mean rating for Miami is (4.97, 6.51).

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The parameters for this problem are given as follows:

[tex]\overline{x} = 5.74, s = 2.7, n = 50[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 50 - 1 = 49 df, is t = 2.0096.

Hence the bounds of the interval are given as follows:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 5.74 - 2.0096\frac{2.7}{\sqrt{50}} = 4.97[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 5.74 + 2.0096\frac{2.7}{\sqrt{50}} = 6.51[/tex]

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Which table can be generated from the equation y = 2x + 17

Answers

Step-by-step explanation:

x | y

-2.| 13

-1. | 15

0. | 17

1. | 19

2. | 21

just start with the y-intercept and then add 2 or subtract two depending on whether your increasing x or decreasing x. as x increases 1 y increases 2.

The quadrilateral below is formed from a parallelogram and an
isosceles triangle.
Calculate the size of angle VQU.

Answers

Answer:

VQU =58°

Step-by-step explanation:

angle QUV is 61 because of F angles (I don't know what they call them in ur country)

triangle QUV is an isosceles triangles so base angles are the same

61+61=122

180-122=58

Question 1 of 25
Which estimate at a 95% confidence level most likely comes from a small
sample?

Answers

It is possible that a small sample size contributed to the 82% (±24%) estimate at a 95% confidence level.

A proportional confidence interval is provided by

[tex]\pi \pm z \sqrt{\frac{\pi (1-\pi )}{n} }[/tex]

Where π is the sample proportion, z is the critical value and n is the sample size.

The margin of error is represented by

[tex]z \sqrt{\frac{\pi (1-\pi )}{n} }[/tex]

As a result, smaller sample sizes result in wider margins of error. Option A has the greater margin of error in this scenario, so it most likely employed the smallest sample size.

Therefore we can conclude It is possible that a small sample size contributed to the 82% (±24%) estimate at a 95% confidence level. Option A is correct.

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An aerospace company's stock closes Tuesday at $144.12. The next day, it gains $5.92. What is the new stock price?

Answers

Answer:

150.04

Step-by-step explanation:

144.12

5.92

+ 150.04

What is the length of leg s of the triangle below?
45°
√32
45⁰
4
A. 4
B. 16
C. √32
D. 1.5
E. 2.2
F. √4

Answers

An isosceles right angled triangle has two equal sides, and those two equal sides make 90 degrees (right angle) internally. The correct option is A.

What is an isosceles right angled triangle?

An isosceles right angled triangle has two equal sides, and those two equal sides make 90 degrees (right angle) internally.


Since the two of the angles of the triangle are equal, therefore, the length on the opposite sides of this angle will be equal to each other. Hence, we can write that the length of the side s will be equal to 4.

Hence, the correct option is A.

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Please help!!!!!!!!!!!

Answers

Let's take this problem step by step:

To find the ordered pair of the system:

⇒ must set both equations equal to each other

    ⇒ and solve for 'x'

Let's solve:

 [tex]x^2-2x+3=-2x+19\\x^2-2x+2x+3-19=0\\x^2-16=0\\(x+4)(x-4)=0[/tex]

Let's find the x-values:

   [tex](x-4)=0\\x=4\\\\(x+4)=0\\x=-4[/tex]

Let's find f(x)'s value for each 'x':

 [tex]x=4\\f(4)=-2(4)+19=-8+19=11\\\\x=-4\\f(-4)=-2(-4)+19=8+19=27[/tex]

Answer: (4, 11), (-4,27)

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-Find the y-intercept of the line with the equation 2x+y=5.

A. -5
B.
-2
C. 1/2
D. 0
E. 5

Answers

Answer:

E.  5

Step-by-step explanation:

Let's rewrite the equation in the form of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

2x + y = 5

y = -2x+5

M, the slope, is -2

5, b, is the y-intercept

See attached graph.

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