A number cube is rolled 500 times. Here are the results: Outcome Rolled 1 2 3 4 5 6 Calculate the following probabilities to the nearest thousandth. The theoretical probability of rolling a 5 or 6 The experimental probability of rolling a 5 or 6 [Choose ] Number of Rolls 81 95 79 89 80 76 [Choose]​

A Number Cube Is Rolled 500 Times. Here Are The Results: Outcome Rolled 1 2 3 4 5 6 Calculate The Following

Answers

Answer 1

Answer:

The theoretical probability of rolling a 5 or 6 can be calculated by finding the sum of the probabilities of rolling a 5 and rolling a 6. Since the number cube has 6 equally likely outcomes, the probability of rolling a 5 or 6 is:

Theoretical probability = (probability of rolling a 5) + (probability of rolling a 6)

= 1/6 + 1/6

= 2/6

= 1/3

The experimental probability of rolling a 5 or 6 can be calculated by dividing the number of times a 5 or 6 was rolled by the total number of rolls. From the given data, the number of rolls for each outcome is:

Outcome | Number of Rolls

1 | 81

2 | 95

3 | 79

4 | 89

5 | 80

6 | 76

Experimental probability = (number of times a 5 or 6 was rolled) / (total number of rolls)

= (number of times a 5 was rolled + number of times a 6 was rolled) / 500

= (80 + 76) / 500

= 156 / 500

= 0.312

Therefore, the theoretical probability of rolling a 5 or 6 is 1/3, and the experimental probability is approximately 0.312.

Step-by-step explanation:


Related Questions

!!!!!PLEASE HELP 100 POINTS AND WILL MARK BRAINLIEST!!!!!
Find the probability that a point chosen randomly inside the rectangle is in each given shape. Round to the nearest tenth of a percent (!!!!!SHOW YOUR WORK!!!!!)

A) Inside the Square
B) Outside the Triangle

Answers

Answer:

A. 16.7%

B. 89.5%

Step-by-step explanation:

A) Inside the Square

length:4

The square has an area of 16 square units. The rectangle has an area of 96 square units. The probability of a point chosen randomly inside the rectangle being in the square is:

(area of square)/(area of rectangle)

= 16/96

= 0.16666666666666666

This is equal to 16.7%.

B) Outside the right angles Triangle

base:4 height 5

The triangle has an area of 10 square units. The rectangle has an area of 96 square units. The probability of a point chosen randomly inside the rectangle being outside the triangle is:

(area of rectangle - area of triangle)/(area of rectangle)

= (96 - 10)/96

= 0.8958333333

This is equal to 89.5%.

(09.01 LC)
What is the relationship between the circumference C of the circle in which the degree measure A of a central angle of a circle intercepts an arc
length s of the arc?

A)C=360°(s)(A)
B)C=360 degrees s over A
C)C=360 degrees(s+A)
D)C = 360°A over s

Answers

The relationship between the circumference C of the circle in which the degree measure A of a central angle of a circle intercepts an arc length s of the arc is

B) C=360 degrees s over A

How to find the relationship

The relationship between the circumference C of a circle and the degree measure A of a central angle that intercepts an arc length s of the arc can be described by the formula:

s = A / 360 * C

Make C the subject of the formula

s = AC / 360

360s = AC

rearranging

AC = 360s

C = 360 degrees s / A

C = (s / A) * 360°

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Answer:

[tex]\textsf{B)} \quad C=\dfrac{360^{\circ}\:s}{A}[/tex]

Step-by-step explanation:

In a circle, the ratio of an arc length (s) to the circumference (C) is equal to the ratio of the measure of the arc's central angle (A) to 360°.

This is because:

The circumference (C) represents the distance around the entire circle, and so an arc (s) is a fraction of the whole circumference. In a circle, there are 360° in total, and so a central angle (A) is a fraction of 360°.

Therefore, this can be expressed as:

[tex]\dfrac{s}{C}=\dfrac{A}{360^{\circ}}[/tex]

Cross multiply:

[tex]360^{\circ} \cdot s=C \cdot A[/tex]

Now, divide both sides by A to isolate C:

[tex]\dfrac{360^{\circ} \cdot s}{A}=C[/tex]

Therefore, the relationship between the circumference (C) of the circle in which the degree measure (A) of a central angle of a circle intercepts an arc length (s) of the arc is:

[tex]\large\boxed{\boxed{C=\dfrac{360^{\circ}\:s}{A}}}[/tex]

identify the initial amount a and growth/decay factor b.

y= -2(.5)^x

Answers

In the equation [tex]y = -2(0.5)^x[/tex], the initial amount (a) is -2, and the growth/decay factor (b) is 0.5.

In the given equation, [tex]y = -2(0.5)^x[/tex], we can identify the initial amount and the growth/decay factor.

The equation is in the form of exponential decay, as the base (0.5) is between 0 and 1, resulting in the function decreasing as x increases.

The initial amount, denoted as "a," is the coefficient in front of the exponential term. In this case, the initial amount is -2. This means that when x = 0, y = -2.

The growth/decay factor, denoted as "b," is the base of the exponential term. In this equation, the base is 0.5. The value of the base determines how quickly the function decreases or decays.

To summarize:

Initial amount (a) = -2

Growth/decay factor (b) = 0.5

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NEED HELP ASAP WILL GIVE BRAINLIEST HELP!

Answers

The relationship between angles 8 and 7 is that they are supplementary. option B is correct.

Given that a quadrilateral, with three parallel lines, we need to find the relation between angles 8 and 7,

We know that the adjacent angles between the parallel lines are supplementary,

We know that,

Supplementary angles are a pair of angles that add up to 180 degrees. In other words, if you have two angles that are supplementary, the sum of their measures will always be 180 degrees.

So,

The relation between the angles is that they are Supplementary angles.

Hence the option B is correct.

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HELP !!! URGENTTTTT PLS ANSWER!!!

Answers

Answer: z=3

Step-by-step explanation:

A right triangle has a hypotenuse of 9 and a leg of 2 to the square root of 6 what is the missing side

Answers

The missing side of the right triangle is √57

To find the missing side of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

Let's assume the missing side is represented by the variable x.

According to the Pythagorean theorem:

(2√6[tex])^2 + x^2 = 9^2[/tex]

Simplifying, we have:

[tex]4 \times 6 + x^2 = 81\\24 + x^2 = 81\\x^2 = 81 - 24\\x^2 = 57[/tex]

Taking the square root of both sides, we get:

x = √57

Thus, the missing side of the right triangle is √57

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You are asked to use the grouping method to factor x^2 - 12x + 13
How should the term -12x be rewritten?

A) 1x +35x
B)-5x -7x
C) 5x+7x
D) -1x-35x

Answers

The zeros of this expression are irrational, so it cannot be factored using integers.

When factoring a quadratic expression, we are trying to express it as the product of two binomial factors.

In some cases, such as when the quadratic has irrational zeros, it may not be possible to factor it using integers.

In the case of the quadratic expression x² - 12x + 13, the discriminant (b^2 - 4ac) is equal to (-12)² - 4(1)(13)

= 144 - 52

= 92.

Since the discriminant is positive and not a perfect square, the zeros of the quadratic are irrational.

This means that the expression cannot be factored into two binomial factors with integer coefficients.

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the headlights on a car are set so the light beam drops 2 in. for 26 ft measured horizontally. If the headlights are mounted 24 in. above the ground, how far ahead of the car will they hit the ground?>

Answers

Answer:

0.168 ft aprox

Step-by-step explanation:

To solve this problem, we can use similar triangles and proportions. Let's denote the distance ahead of the car where the light beam hits the ground as "x" (in feet).

According to the given information, the light beam drops 2 inches for every 26 feet horizontally. We can set up the following proportion:

2 inches / 26 feet = x inches / x + 26 feet

To solve for x, we can cross-multiply and solve the resulting equation. Let's convert inches to feet to maintain consistent units:

2 inches = 2/12 feet = 1/6 feet

1/6 feet / 26 feet = x feet / x + 26 feet

1/6 * (x + 26) = 26 * x

x/6 + 26/6 = 26x

x + 26 = 156x

156x - x = 26

155x = 26

x = 26 / 155 ≈ 0.168 ft

Therefore, the headlights will hit the ground approximately 0.168 feet (or 2.016 inches) ahead of the car.

predict what will happen to the coordinates of a point (x,y) as the point reflects across a line to produce point (x1,y1)

Answers

The reflections are described below.

We know that,

There are two types of reflection:

Reflection with respect to X-axis:

The x-coordinates of a point stay constant when it is mirrored across the X-axis. However, the Y-coordinates are changed into their inverse signs.

As a result, the X-axis reflection of the point (x, y) is (x, -y).

Reflection with respect to Y- axis:

The Y-coordinates of a point stay constant when it is mirrored across the Y-axis. However, the X-coordinates are changed into their inverse signs.

As a result, the Y-axis reflection of the point (x, y) is (-x, y).

Now the reflection is as following:

The point (x, y) when reflected across the x-axis becomes (x', y') = (x, -y)

The point (x, y) when reflected across the y-axis becomes (x', y') = (-x, y)

The point (x, y) when reflected across the line y = x becomes (x', y') = (y, x)

The point (x, y) when reflected across the line y = -x becomes (x', y') = (-y, x)

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I need help with this.

Answers

Answer:

Step-by-step explanation:

Area of parallelograph = bh

b=20  h =42

A=(20)(42) = 840 mm²

How do -3.8 and -4 1/2 compare

Answers

Answer:

-3.8 > -4.5

Step-by-step explanation:

Convert the fraction to decimal and then compare.

[tex]\sf -4\dfrac{1}{2}=\dfrac{-9}{2}[/tex]

          = -4.5

Now compare (-3.8) & (-4.5)

-3.8 > -4.5

Write the quadratic equation in standard form that corresponds to the graph shown below.. Please help.

Answers

The quadratic equation in standard form that corresponds to the graph shown above is f(x) = x² + 2x - 8

What is the general form of a quadratic function?

In Mathematics and Geometry, the standard form of a quadratic function can be modeled and represented by using the following mathematical expression;

y = ax² + bx + c

Where:

a and b represents the coefficients of the first and second term in the quadratic function.c represents the constant term.

In this scenario and exercise, we would write a quadratic function that represent f(x) in standard form and with a leading coefficient of 1 by using the roots (-4, 0) and (2, 0) as follows;

f(x) = (x + 4)(x - 2)

f(x) = x² - 2x + 4x - 8

f(x) = x² + 2x - 8

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Fred is buying A New
refrigerator for his
Apartment. His friend has A
4-year-old refrigerator that
he will sell to Fred for only
$200, but the refrigerator
Needs About $350 iN
repairs. The local Appliance
shop hAs A New model for
$615, plus 7% sales tax.

How much sales tax will Fred pay if he buys the new refrigerator?

Answers

Fred will pay $43.05 in sales tax if he buys the new refrigerator.

To calculate the sales tax Fred will pay for the new refrigerator, we first need to find the amount of the sales tax.

The cost of the new refrigerator is $615.

To calculate the sales tax, we multiply the cost by the tax rate of 7%:

So, Sales tax = 7% of $615

Sales tax = (7/100) x $615

Sales tax = $43.05

Therefore, Fred will pay $43.05 in sales tax if he buys the new refrigerator.

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Which choice is a solution to this system of equations? -x=y-4 y=4x+9

Answers

The solution to the system of equations is  x = 5.4 and y = -1.4

How to determine the solution to the system of equations?

From the question, we have the following parameters that can be used in our computation:

-x=y-4 y=4x+9

So, we have

-x = y - 4

y = 4x + 9

Rewrite the equation as

x = -y + 4

y = 4x + 9

So, we have

y = 4(-y + 4) + 9

Open the bracket and evaluate

5y = 9 - 16

So, we have

y = -1.4

Recall that

x = -y + 4

So, we have

x = 1.4 + 4

Evaluate

x = 5.4

Hence, the solution is  x = 5.4 and y = -1.4

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give the rule in words of this pattern 10,13,17,238​

Answers

Es por 65 así que multipocal

Answer:

a set of numbers in order of least to greatest

PLEASE HELP AND SHOW WORK

Answers

The amount of fabric required is 400.551 ft².

We have,

CB= 8 feet

CF= 13 feet

AM = 8 feet

Using Pythagoras

AC² = AM² + CM²

AC = √64+16 = √80 = 4√5 feet

Now, the formula for Triangular prism is

= (Sum of three sides of triangle face)l + base area

= (4√5 + 4√5 + 8)13 + 8 x 8

= 104√5 + 104 + 64

= 104√5 + 168

= 232.551 + 168

= 400.551 ft²

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pleaseseee help


Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
Remember that each equation must include at least one variable

pls help 100 points

Answers

Answer:

Step-by-step explanation:

Simplify. Write your answers without exponents. 4^ -5/2= (1/16)^-3/2=

Please look at photo for accuracy

Answers

The value of the given expression is,

[tex]4^{- 5/2[/tex] =  1/32

[tex](1/16) ^ {- 3/2[/tex] = 64

We have to given that,

Expressions to solve are,

⇒ [tex]4^{- 5/2[/tex]

And, [tex](1/16) ^ {- 3/2[/tex]

We  know that,

Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself

Now, We can simplify the given expression,

By using law of exponents

We get,

⇒ [tex]4^{- 5/2}[/tex]

⇒ [tex]2^{2(- 5/2)}[/tex]

⇒ 2⁻⁵

⇒ 1/2⁵

⇒ 1/32

Thus,

The value of   [tex]4^{- 5/2[/tex] =  1/32

The given expression is,

⇒[tex](1/16) ^ {- 3/2[/tex]

By using law of exponents

We get,

⇒ [tex]16 ^{3/2}[/tex]

⇒ [tex](4^2)^{3/2}[/tex]

⇒ 4³

⇒ 64

The value of  [tex](1/16) ^ {- 3/2[/tex] = 64

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Show your work show me how you got the answer HELP DUE TOMORROW!!

Answers

Your least common denominator amongst these three mixed fractions is 10. Once you determine this, the rest should fall into place!

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

[a] 12 units

Step-by-step explanation:

Answer:

The answer is (D) 44 units

Step-by-step explanation:

1. The formula for the area of a rhombus is A= [tex]\frac{d_{1} d_{2}}{2}[/tex]

2. Fill in the information we know:

A = 264d1 = 12

3. Now work backward:

If A= [tex]\frac{d_{1} d_{2}}{2}[/tex] then that means 264 =  [tex]\frac{12_ {} d_{2}}{2}[/tex] So 12 multiplied by a number divided by 2 is equal to 264That means that 264 multiplied by two and divided by 12 will give you the mystery number.

4. Solve it:

264 multiplied by 2 is equal to 528 528 divided by 12 is equal to 44

Hence 44 units (D) is your answer

A. How many combinations of the 5 white balls and 1 red ball are possible?

Answers

The number of combinations of the 5 white balls and 1 red ball are possible is 1.

We are given that;

White balls=5

Red ball=1

Now,

To find the number of combinations of 5 white balls and 1 red ball, we can use the combinations formula12:

[tex]nCr = n! / (r! (n-r)!)[/tex]

where n is the total number of objects, r is the number of objects to be selected, and ! is the factorial operator.

we can plug in these values into the formula:

[tex]6C6 = 6! / (6! (6-6)!) 6C6 = 6! / (6! 0!) 6C6 = 1 / (1 1) 6C6 = 1[/tex]

So, there is only one combination of 5 white balls and 1 red ball. This makes sense because the order of selection does not matter in a combination. No matter how we arrange the balls, we will always have the same group of 5 white balls and 1 red ball.

Therefore, by combinations and permutations the answer will be 1.

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What is the value of x?
NO SPAM OR I WILL REPORT YOU AND BAN YOU IMMEDIATELY

Answers

Using a trigonometric relation, we can see that the value of x is 10.39

How to find the value of x?

Here we have a right triangle. We can see that we know the measures of the hypotenuse, and the angle opposite to the side x.

Then to get the value of x, we can use the trigonometric relation:

sin(a) = (opposite cathetus)/hypotenuse.

Replacing the values that we know, we will get.

sin(60°) = x/12

solve that for x:

12*sin(60°) = x

10.39 = x

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What is the slope of the line that is perpendicular to the line of y=3x -8

Answers

The slope of the line that is perpendicular to the line y = 3x - 8 is -1/3.

The given line has an equation in slope-intercept form, which is y = 3x - 8. In this form, the coefficient of x represents the slope of the line.

Therefore, the slope of the given line is 3.

To find the slope of a line perpendicular to the given line, we need to take the negative reciprocal of the slope.

The negative reciprocal of 3 is -1/3.

Therefore, the slope of the line that is perpendicular to the line y = 3x - 8 is -1/3.

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Please help I have to get 100 in order to graduate to my next grade level please if you can help me do it I will give big points and there is more than 1 answer.

Answers

The solution of the given equations is: (3,-1).

Here, we have,

from the given graph we get,

1st line passes through ( 0,2 ) and (2,0)

so, equation: y = -x+2 .....1

2nd line passes through ( 0,-4 ) and (4,0)

so, equation: y = x-4 .....2

now, from 1 and 2 we get,

-x + 2 = x -4

or, 2x = 6

or, x = 3

so, we have, y = -1

so, the point of intersection is (3, -1)

Hence, The solution of the given equations is: (3,-1).

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There are 840 learners and 17 teachers at Orefile Primary school.what is the learner to teacher ratio?

Answers

Answer: 49.4 thats the answer i devided it

4. The ratio of the length of the corresponding side of two
regular polygons is 3:4. The area of the larger polygon is
320 m². What is the area of the smaller polygon?


A-240 m²
B-427 m²
C-569 m²
D-180 m²

Answers

Let's assume that the smaller polygon has a length of 3x, where x is a positive number representing the common ratio. Similarly, the length of the larger polygon would be 4x.

The ratio of the areas of two similar polygons is equal to the square of the ratio of their corresponding side lengths. Therefore, the ratio of the areas of the smaller and larger polygons would be (3x)^2 : (4x)^2, which simplifies to 9x^2 : 16x^2.

Given that the area of the larger polygon is 320 m², we can set up the following equation:

9x^2 : 16x^2 = Area of smaller polygon : 320

Cross-multiplying, we get:

9x^2 * 320 = 16x^2 * Area of smaller polygon

2880x^2 = 16x^2 * Area of smaller polygon

Cancelling out x^2, we have:

2880 = 16 * Area of smaller polygon

Dividing both sides by 16, we find:

Area of smaller polygon = 2880 / 16 = 180 m²

Therefore, the area of the smaller polygon is 180 m² (option D).
If the ratio of the length of the corresponding side of two regular polygons is 3:4, then the ratio of their areas is (3/4)² = 9/16.

Let A be the area of the smaller polygon. Then we have:

A x (9/16) = 320 m²

Multiplying both sides by (16/9), we get:

A = (320 m²) x (16/9) = 568.89 m²

Rounding to the nearest whole number, we get:

A ≈ 569 m²

Therefore, the area of the smaller polygon is approximately 569 m².

The answer is (C) 569 m².

Write in exponential form. ln54.60=4

Answers

Step-by-step explanation:

ln 54.60 = 4         e^x both sides

e ^ (ln 54.60) = e^4

         54.60 = e^4                 Done.

simplify 9/14divided7/10

Answers

Answer:

45/49

Step-by-step explanation:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

9/14 * 10/7 = 90/98

divide the numerator and the denominator by 2.

90 * 2 = 45

98 * 2 = 49

45/49

What is the solution to the proportion 2/3 m/9

Answers

= 8/3

m = 40

yep no problem

What is the solution to this system?
3x+2y=6
-4x+ 5y = 15
4-3-2-1
1 2 3 4 5
-
S

Answers

Answer:

solution:  (0,3)

Step-by-step explanation:

You can find the solution when the two lines intersect.

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