if a number cube is rolled once, what is the probability that it will stop with a composite number on top

Answers

Answer 1

Answer:

50%

Step-by-step explanation:

2, 4, 6 = 3 composite numbers

There are six numbers. Count the number of composite numbers.

Write it as a fraction.

3/6

Then convert it to a percent.

3/6 converts to 50%

Answer 2

To solve the problem, let's start by understanding what a number cube is and what a composite number is.
A number cube is typically a six-sided die, with each side having one of the numbers 1, 2, 3, 4, 5, or 6. Each number has an equal chance of appearing on the top when the cube is rolled.
A composite number is a whole number that has more than two distinct positive divisors. In other words, it can be divided evenly by numbers other than 1 and itself. The smallest positive composite number is 4 because it can be divided by 1, 2, and 4.
Let's list all the positive composite numbers that are on a standard number cube:
- 4 can be divided by 1, 2, and 4.
- 6 can be divided by 1, 2, 3, and 6.
The numbers 2 and 3 are not considered composite numbers, even though they are divisible by numbers other than 1 and themselves; this is because they are prime numbers, having exactly two distinct positive divisors (1 and the number itself).
Now, let's determine the probabilities.
The probability (P) of an event is given by the number of favorable outcomes (f) divided by the total possible outcomes (t), or P = f / t.
For a number cube, the total possible outcomes when rolling the cube are 6 (since there are 6 sides).
The favorable outcomes for rolling a composite number on a number cube are the outcomes where the top number is either 4 or 6.
Thus, f (favorable outcomes for rolling a composite number) = 2 (just the numbers 4 and 6).
Now, we can calculate the probability:
P(composite number) = f / t = 2 / 6
We can simplify this fraction by dividing both the numerator and the denominator by 2:
P(composite number) = 1 / 3
Hence, the probability of rolling a composite number on a standard number cube is 1/3.


Related Questions

State the slope and the y-intercept of this equation: y = -4x - 9

Answers

Answer:

slope = - 4, y- intercept = - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x - 9 ← is in slope- intercept form

with slope m = - 4 and y- intercept c = - 9

how many 9s are in 54??​

Answers

Answer:

Whats 's' mean?

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

9s=54

divdie 9 by 54 to get the s alone. 54/9 is 6. t

the actual length of a rectangular platform used for assembeling robots is 6 feet. in amal's drawing, the platform measures 1.2 inches in legnth and 1 inch in width. what is the actual width of the platform? write a proportion to justify your answer.

Answers

Answer:

Actual width = 5 feet.

Step-by-step explanation:

The ratio of 1.2 to 1  equals the ratio of length to width.

1.2 / 1  = 6 / w  where w is the actual width.

1.2w = 6

w = 6/1.2

w = 5.


What is the equation of the circle with center (11, 6) that passes through the point (17, 12)?

Answers

well, the distance from the center of a circle to any point "on" the circle is simply just its radius, thus

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{center}{(\stackrel{x_1}{11}~,~\stackrel{y_1}{6})}\qquad (\stackrel{x_2}{17}~,~\stackrel{y_2}{12})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(17-11)^2+(12-6)^2}\implies r = \sqrt{36+36}\implies r=\sqrt{72} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{11}{ h},\stackrel{6}{ k})\qquad \qquad radius=\stackrel{\sqrt{72}}{ r} \\\\\\ (x-11)^2+(y-6)^2=(\sqrt{72})^2\implies (x-11)^2+(y-6)^2=72[/tex]

Final answer:

The equation of the circle with center (11, 6) that passes through the point (17, 12) is (x - 11)² + (y - 6)² = 72.

Explanation:

To find the equation of the circle with center (11, 6) that passes through the point (17, 12), we first determine the radius of the circle. The radius can be found by calculating the distance between the two points using the distance formula: √[(x2-x1)² + (y2-y1)²]. Plugging in the coordinates, we get √[(17-11)² + (12-6)²] = √[6² + 6²] = √[36 + 36] = √72. The squared radius (r²) is therefore 72.

The general form for the equation of a circle is: (x - h)² + (y - k)² = r², where (h, k) is the center of the circle. Substituting the center (11, 6) and the squared radius 72 into this equation, we get: (x - 11)² + (y - 6)² = 72, which is the desired equation of the circle.

50 points and brainleist
A value of 500 increases by 12%. -Which equation could be used to find the new value? A) y=500+(0.12)
B) y=500(1.12)
C) y=500+(0.12)
D) y=500-(0.12) - What is the new value? Answer:Equation_______could be used to find the new value. The new value is______.

Answers

y = 500(1.12) is the equation could be used to find the new valueThe new value is 560

Solution:

Given that,

A value of 500 increases by 12%

To find: equation could be used to find the new value

Therefore,

Initial value = 500

Increase rate = 12 %

Let "y" be the new value

Thus the equation is:

new value = Initial value + 12 % of Initial value

[tex]y = 500 + 12 \% \text{ of } 500\\\\y = 500 + 12 \% \times 500\\\\y = 500(1 + 12 \%)\\\\y = 500(1 + \frac{12}{100})\\\\y = 500( 1 + 0.12)\\\\y = 500(1.12)[/tex]

Thus the equation is found. Option B is correct

Solve it

[tex]y = 500 \times 1.12\\\\y = 560[/tex]

Thus the new value is 560

Answer:

Hat he said

Step-by-step explanation:

What is the vertex of y=−2x2−4x−5?

Answers

Answer:

(-1,-5)

Step-by-step explanation:

What is 89 divided by 3 in decimal form

Answers

Answer:

29.67

Step-by-step explanation:

[tex]89 \div 3 \\ \implies 29.6666666 \\ \implies \boxed{ \bf 29.67}[/tex]

_______________________

Thanks for the question!

When rounded to two decimal places, 89 divided by 3 is approximately 29.67.

To calculate 89 divided by 3 in decimal form, we perform the division operation:

89 ÷ 3 ≈ 29.666666...

The division result is a repeating decimal with the digit 6 repeating infinitely. However, since you asked for the answer in decimal form, rounded to a certain number of decimal places, we can round the result to a reasonable precision.

Let's round it to two decimal places:

89 ÷ 3 ≈ 29.67

So, when rounded to two decimal places, 89 divided by 3 is approximately 29.67.

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g + 3f+ f +g +g Write an equivalent expression that uses each variable only once.

Answers

Answer:

The answer would be 4f + 3g. I hope this helps!!!

Answer:

3G+4F

Step-by-step explanation:

just add the number of variables only with themself, so for example there are 3 G's, you would add them together and put 3G

What is the equation of a line that passes through the points (-3, 4) and (2, 8)?

Answers

Answer:

y= 4/5x +2/5

Step-by-step explanation:

When finding slope, use the format y-y1/x-x1. Plug in your coordinates to get this: 8-4/2--3. 8-4 equals 4, and 2--3 equals 5. So, your slope would be 4/5. Next, make your equation like this: y=4/5x+b. Next, plug in one of your ordered pairs into the equation. It doesn't matter which one you use. I'm going to use the second pair, so it would look like this: 8=4/5(2)+b. Multiply 4/5 by 2 to get 8/5. This is what you should have: 2=8/5+b. Subtract 8/5 from both sides to get your y-intercept of 2/5. Go back to your original equation and plug in 2/5 to b. This is your final equation: y= 4/5x +2/5. Hope this helped!

Determine the solution for x^2+36>12x

Answers

Answer:

x^2+36 or x2 + 36 = 0

Step-by-step explanation:

Answer:

x> 6 twice

Step-by-step explanation:

x^2+36>12x

x² + 36 > 12x

Collect like terms

x² - 12x + 36 > 0

Solve quadratically using factorisation method by finding two factors of 36 that when added gives -12, the coefficient of x.

Factors = -6 and -6 which both add up to -12

Rewrite equation

x² - 6x - 6x +36> 0

Factorise by taking out the common factor

x ( x - 6) -6( x - 6) > 0

(x -6)(x - 6) > 0

x - 6 > 0 or x -6 > 0

Add 6 to both sides

x -6+6> 0+6 or x-6+6>0+6

x > 6  or x> 6

x> 6 twice

I hope this was helpful, please rate as brainliest

What is the probability of drawing a black 5 from a standard deck of playing cards?

Answers

Answer:  1/26 chance

Step-by-step explanation:

there are two black fives in a deck so you get the fraction, 2/52.

simply it and you get 1/26.

pens cost x pence and pencils cost y pence. Write a formula for the total cost (T) of 7 pens and 11 pencils

Answers

Answer:

erhaerah

Step-by-step explanation:

hearherharehr

Find the area of the ring-the shaded region

Answers

The area of the (ring) - the shaded region is 75.36 in²

Solution:

The value of π = 3.14

Radius of the inner circle = 5 in

Area of the inner circle = πr²

                                       = π × 5²

Area of the inner circle = 25π

Radius of the outer circle = (5 + 2) = 7 in

Area of the outer circle = πr²

                                       = π × 7²

Area of the outer circle = 49π

Area of the shaded ring = Area of the outer circle – Area of the inner circle

                                        = 49π – 25π

                                        = 24π

                                        = 24 × 3.14

                                        = 75.36 in²

The area of the (ring) - the shaded region is 75.36 in².                                

What is the volume ,in cubic meter ,of a cylinder with a height of 3 neters and a base radius of 4 meters ,to the nearest theths place

Answers

Answer:

volume = 150.9m³

Step-by-step explanation:

in order to find  the volume ,in cubic meter ,of a cylinder with a height of 3 meters and a base radius of 4 meters ,to the nearest theths place wee apply the formular for finding the volume of a cylinder which is πr²h

v =  πr²h

given that

height = 3meters

radius = 4meters

volume=?

going by the formulae v= πr²h

v = π × (4)² × 3

v = π × 16 ×3

v= 48πm³

note the value of π = 22/7

v = 48 × 22/7

v = 1056/7

v= 150.87m³

therefore the volume of the cylinder to the nearest tenth place is 150.9m³

What does x equal in 3(x-2)=-3

Answers

Answer:

Step-by-step explanation:

3(x-2)= -3

Divide both sides by 3

x-2 = -1

add 2 to both sides

x - 2 +2 = -1 + 2

x = 1

Answer: x = 1

Step-by-step explanation:

3(x-2) = -3

3x -6 = -3

    +6   +6

3x = 3

----------

3      3

x = 1

Write the coordinate of the point in the diagram.

Answers

Answer:

(2, 2, 1)

Step-by-step explanation:

You can see that the point is moved 2 units (x axis), 2 units (y axis) and 1 unit (z axis). Because you write coordiantes as (x,y,z), you write (2,2,1)

The cost of 3 gallons of milk is $6.75. What is the cost of 7 gallons of milk?

Answers

Answer:

1. The cost of 7 gallons of milk is $15.75

2. 5 cups served and 40 ounces drank

Step-by-step explanation:

Answer:

$15.75

Step-by-step explanation:

Let the cost of 7 gallons of milk be x

Since

3 gallons of milk = $6.75

7 gallons of milk = x

Cross multiply

7 x 6.75 = 3 x X

47.25 = 3x

Divide both sides by 3

47.25/3 = 3x/3

15.75 = x

x = $15.75

7 gallons of milk cost $15.75

Plz help in ASAP I need it I will give you BRAINLEIST whatevrr it is called

Answers

Answer:

1.)x≤9

2.)x≥0.5

Step-by-step explanation:

1.)x+6≤15

x+6-6≤15-6

x≤9

2.)x+1.5≥2

x+1.5-1.5≥2-1.5

x≥0.5

Kala has a rope that is 17 meters long. She cuts away a piece that is 8.83 meters long. How long is the remaining piece of rope?


Answers

The answer is 8.17 if you subtract 17-8.83, it comes down to a total of 8.17

the quotient and the divisor are the same number. the sum is 8. write the related facts

Answers

Answer:

Starting from the definitions of each concept, we have to:

Divider = number you are dividing

Quotient = result of division

Therefore, for them to be the same number is half of the sum they tell us, which means that 8/2 = 4, then the quotient is 4 and the divisor is 4 too, and the dividend 4 * 4 = 16

The division would be:

16/4 = 4

Thus fulfilling the premise of the problem.

-3(n-6)-9 i need to simplify the expression.

Answers

-3(n-3)
Check out the work in the picture.

In the figure, △
ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to

Answers

Answer: its = to 6 cuz AB/AC = BC/AE and BC is 6 so give brainless psl

Step-by-step explanation:

ez ezz

The value of x in the right-angle triangle is 2√3.

What is a right-angle triangle?

A triangle is also known as a right-angled triangle if one of its three angles is 90 degrees. A right-angled triangle's three interior angles all add-up to 180 degrees, thus if one angle is always 90 degrees, the other two must also always add up to 90 degrees.

In the given figure,

BC = 6cm

DC = 6/2 = 3cm

By formula of angle on a straight line,

∠EDB = 180° - (90°+60°)

= 180° - 150°

= 30°.

From right-angled triangle ADC,

AD² = 5² -3² (As per Pythagoras theorem)

= 25 - 9

= 16.

So, AD = √16

= 4cm.

From ∠AEC. let AS = x.

w/Sin60° = 4/Sin90°

We know,

Sin90° = 1

Sin60° = √3/2

⇒ x = (4 × Sin60°)/Sin90°

⇒ x = 4 × √3/2

⇒ x = 2√3

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The complete question is:

In the figure, △

ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to

A = 3 b = 4 c=4

1) 3a + 5=
2)4b - 7=
3)6a - 1 =
4) bc -a=

Answers

Answer:

1.)  3(3) + 5 = 9 + 5 = 14

2.)  4(4) - 7 = 16 - 7 = 9

3.)  6(3) - 1 = 18 - 1 = 17

4.)  (4)(4) - (3) = 16 - 3 = 13

1) 3•3= 9 + 5 = 14
2) 4•4 - 7 = 9
3) 6•3 - 1 = 17
4) 4•4 - 3 = 13

If JK = 7 and JL = 12, what is JM?

Answers

Final answer:

Without additional context or details about how JK, JL, and JM are related, it's impossible to accurately calculate or deduce the value of JM. Further clarification or more information about the scenario or the mathematical or geometric principles involved is needed for a precise answer.

Explanation:

The question provided does not seem to present enough context or connection to standard mathematical operations or geometric principles that would enable a straightforward calculation or deduction of the value of JM. Without additional information about the relationship between JK, JL, and JM (such as whether they are sides of a triangle, or represent values in a given mathematical formula), or without a clear mathematical or geometric context, it's impossible to accurately determine the value of JM.

Generally, in mathematics, when calculating distances or values based on given lengths, one needs to apply specific formulas or theorems (such as the Pythagorean theorem in the context of right-angled triangles, or vector addition in the context of physics problems). Unfortunately, the given data lacks the necessary context to apply such principles.

For a precise and accurate answer, I recommend clarifying the problem's context or providing more details about the scenario in which JK, JL, and JM are related.

-Final answer:

To find JM in a triangle with known side lengths JK = 7 and JL = 12, we use the Triangle Inequality Theorem to determine that JM must be less than 19.

Explanation:

To find JM, we can use the fact that in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side (Triangle Inequality Theorem).

JK + JL > JM

7 + 12 > JM

19 > JM

Therefore, JM must be less than 19 but more than the absolute difference of JK and JL, so JM < 19.

Complete the table. Original Price Percent of Discount Sale Price $42 15% $

Answers

Answer:

35.70

Step-by-step explanation:

42. x 15%=6.30

42-6.30 is 35.70

or you can multiply 42 x 85=35.70

Answer:

$35.70

Step-by-step explanation:

$35.70

QUICKLY!! Jonahs grandmother gave him 125 for his birthday. He used 14% of the money to buy music on iTunes and 65% to purchase a new hockey stick. How much more did he spend on the jock stick than on music?

Answers

Answer:

It's 63.75 since I looked it up.

A line that includes the points (10,g) and (9,4) has a slope of 2. What is the value of g?
g=

Answers

Answer:

g = 6

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 2

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (10, g) and (x₂, y₂ ) = (9, 4)

m = [tex]\frac{4-g}{9-10}[/tex] = [tex]\frac{4-g}{-1}[/tex] = 2 ( multiply both sides by - 1 )

4 - g = - 2 ( subtract 4 from both sides )

- g = - 6 ( multiply both sides by - 1 )

g = 6

12. Judith randomly selected 20% of the
seventh-grade students in her school
and asked them their favorite genre of
music of these students surveyed 41
chose pop music as the favorite music
genre. Based on the data, what is the
most reasonable prediction of the
number of seventh-grade students in
her school who would choose pop
music as their favorite season?​

Answers

i believe the answer is 205

hope this helps

The most reasonable prediction of the number of seventh-grade students in Judith's school who would choose pop music as their favorite genre is 205.

To find the prediction, we first need to determine the total number of seventh-grade students in Judith's school. Since 41 students represent 20% of the total, we can set up a proportion to find the total number of students. Let [tex]\( T \)[/tex] represent the total number of students.

[tex]\[ 20\% \times T = 41 \][/tex]

[tex]\[ 0.20 \times T = 41 \][/tex]

To find [tex]\( T \)[/tex], we divide both sides of the equation by 0.20:

[tex]\[ T = \frac{41}{0.20} \][/tex]

[tex]\[ T = 205 \][/tex]

Now that we have the total number of students, we can predict the number of students who would choose pop music as their favorite genre. Since 41 students represent 20% who chose pop music, the remaining 80% of the students would also be expected to choose pop music if the sample is representative of the entire population. Therefore, we multiply the total number of students by 100% to find the prediction:

[tex]\[ \text{Prediction} = T \times 100\% \][/tex]

[tex]\[ \text{Prediction} = 205 \times 1 \][/tex]

[tex]\[ \text{Prediction} = 205 \][/tex]

Thus, the most reasonable prediction is that 205 seventh-grade students in Judith's school would choose pop music as their favorite genre.

Order the numbers from least to greatest 10.5, 10.06, 10.64, 10.46

Answers

10.5 10.6 10.46 10.64

Answer:

10.06, 10.46, 10.5, 10.64

Step-by-step explanation

h(x)=square root of x-10
what is the domain of h?

Answers

h(x)= square root of x-10
Domain: x >= 10
Final answer:

The domain of the function h(x) = √(x-10) is all real numbers x that are greater than or equal to 10, because we cannot take the square root of a negative number under the real number system.

Explanation:

In mathematics, the domain of a function is the set of all the possible input values (usually denoted as x) that would lead to a real and defined output. As for the function h(x)=√(x-10), we have a square root operation involved. We know that under the real number system, we cannot take the square root of a negative number.

Hence, for the function h(x)=√(x-10) to be real and defined, (x-10) must be greater than or equal to 0. That is, x-10 ≥ 0. Solving for x, we get x ≥ 10.

Therefore, the domain of the function h(x) = √(x-10) is x≥10. That is, h(x) is defined for all real numbers x that are greater than or equal to 10.

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