luis says that the probability of getting a yahtzee in one roll of the dice is a 1 6b 5 . explain why luis is wrong.

Answer:

Step-by-step explanation:

supply.       /.       time.      /.       work

4.              /          4           /.       4

1             /.            4.        /.          1

9.         /.              4        /            9

9        /.                9       /         20.25

you need to divide 9 by 4 and them multiply your 9 by what you got from the the division which is 2.25

The break-even point is 54,000 units given the cost function and revenue function.

The break-even point is the moment at which a product's sales revenue equals its production costs. There is currently neither a gain nor a loss.

This problem's cost function is C(x) = 0.75x + 63,180, where x is the total number of created units. R(x) = 1.92x, where x is the quantity of units sold, is the revenue function.

We must set the revenue equal to the expense in order to determine the break-even point:

R(x) = C(x) (x)

1.92x = 0.75x + 63,180

1.17x = 63,180

x = 54,000

Thus, 54,000 units are needed to break even.

This means that the money earned will be equivalent to the cost of creating the product if the company produces and sells 54,000 units of it. The corporation will make money on any units sold over this threshold while losing money on any units sold below it.

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Answer:

2640.74

Step-by-step explanation:

Circumference : π  * 2r

Area of circle : π  * [tex]r^{2}[/tex]

For this particular circumference,

Circumference : π  * 58

58 = 2r

So by dividing we learn that,

r = 29

When we substitute the radius into the equation for area, we get,

Area of circle : π  * [tex]29^{2}[/tex]

Area of circle : π  * 841

Area of circle : 2640.74

* I used 3.14 as π

Hope this helps ! Feel free to ask questions! : )

Answer:

then he's scored all the goals 9/9

You can follow the order of operations with all of the other operations in the equation and treat the operations in the expression separately. Option 2.

The order of operations is a set of rules that dictate the sequence in which mathematical operations should be performed in an expression. These rules are designed to ensure that the expression is evaluated correctly and consistently.

When interpreting an expression as a given quantity, you are essentially substituting a value for a variable in the expression. This does not contradict the order of operations because the rules still apply, but the variables in the expression are treated as known values rather than unknown variables.

For example, if you have the expression 2 + 3 × 4, following the order of operations, you would first perform the multiplication (3 × 4 = 12) and then add the result to 2 (2 + 12 = 14).

If you are asked to interpret this expression as a given quantity when x = 3, you would substitute 3 for x and get 2 + 3 × 4 = 14, which is the same result obtained by following the order of operations.

In short, interpreting an expression as a given quantity does not contradict the order of operations because the rules still apply, but the variables in the expression are treated as known values.

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Answer:

m = [tex]\frac{y-b}{x}[/tex]

Hope this helps!

Step-by-step explanation:

y = mx + b

mx = y - b

[tex]\frac{mx}{x}[/tex] = [tex]\frac{y-b}{x}[/tex]

m = [tex]\frac{y - b}{x}[/tex]

It is true that +10 and -10, are 10 units from 0 on the number line

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

Numbers = +10 and -10

The number of units of these numbers from 0 is calculated as

Units = |0 - Number|

So, we have

Units = |0 - 10| = 10

Units = |0 + 10| = 10

This means that the number of units is 10

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Answer:

3

Step-by-step explanation:

We need to convert both quantities to the same units before we can compare them.

24 ounces is equal to 1.5 pounds (since there are 16 ounces in 1 pound).

So the ratio of 24 ounces to 12 pounds can be written as:

1.5 pounds : 12 pounds

Simplifying this ratio by dividing both sides by 12, we get:

0.125 : 1

Therefore, the ratio that compares the relative sizes of 24 ounces to 12 pounds is 0.125 : 1.

Answer with explanation:

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The only transformation that would carry rectangle ABCD onto itself is a single rotation of 180 degrees in a parallelogram.

Rectangle ABCD's characteristics and how each transformation affects its orientation and location must be examined in order to identify the collection of reflections and rotations that would carry the rectangle onto itself of a parallelogram.

First, using the provided coordinates, let's determine the sides of the rectangle: AB is parallel to DC, and AD is parallel to BC. Also, we can observe that the lengths of AB and AD are equal to DC and BC, respectively, indicating that the opposite sides are congruent.

The rectangle is first suggested to be rotated 180 degrees. This transformation simply maps each point to its corresponding point on the rectangle; the rectangle's orientation is left unchanged. Hence, rectangle ABCD would be carried onto itself by this transformation alone.

The rectangle is first reflected over the x-axis, rotated 180 degrees, and then reflected once more over the x-axis is the second transformation suggested. This series of transformations flips the rectangle's orientation while mapping each point to its equivalent point on the other side of the rectangle. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

The third suggested transformation involves reflecting the rectangle first over the y-axis, then over the line y = x, and then back over the y-axis. The rectangle's orientation is maintained but its position is altered by this series of modifications. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

The rectangle is to be rotated 180 degrees, reflected over the line y = x, and then reflected over the x-axis as the fourth transformation suggested. Each point is moved and mapped to a point on the other side of the rectangle via this series of transformations. The rectangle's orientation is also altered, though. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

Hence, a single 180° rotation is the only transformation that could turn rectangle ABCD upon itself.

In conclusion, we studied the features of the rectangle and the consequences of each transformation on its orientation and location to find the set of reflections and rotations that would transport rectangle ABCD onto itself. In contrast to the other suggested transformations, we discovered that only a single rotation of 180 degrees would keep the rectangle's orientation and location intact.

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Answer:

I'm assuming that 1 is actually a point with coordinates (1, something) and you meant the point H(25,-16).

To find the equation of the line passing through two points (x1,y1) and (x2,y2), we can use the point-slope form:

y - y1 = m(x - x1)

where m is the slope of the line, which can be calculated as:

m = (y2 - y1) / (x2 - x1)

Using the points H(25, -16) and 1(-2.5, y), we have:

m = (-16 - y) / (25 - (-2.5)) = (-16 - y) / 27.5

Multiplying both sides by 27.5, we get:

-16 - y = -0.58x + b

where x is the x-coordinate and b is the y-intercept of the line. To find b, we plug in one of the points (let's use H) and solve for b:

-16 - (-16) = -0.58(25) + b

b = -16 - (-14.5) = -1.5

Therefore, the equation of the line passing through H(25, -16) and 1(-2.5, y) is:

y + 1.5 = -0.58(x + 2.5)

or:

y = -0.58x - 4.25

Note: I assumed that you meant H(25,-16) and I used -2.5 as the x-coordinate for point 1 because you didn't specify what it was.

Answer:

518

Step-by-step explanation:

Since you are rounding to the nearest whole number.

518.1 would need to be 518.5 or higher to be 519 so anything below that would just round up the 518

The area οf Emily's patiο is 1,896 square feet.

A square is a geοmetric shape with fοur equal sides and fοur equal angles (90 degrees each). It is a special case οf a rectangle where all sides are οf equal length. The area οf a square is calculated by multiplying the length οf οne side by itself, which is expressed as side^2 οr s^2, where s is the length οf a side.

Tο calculate the area οf the patiο, we need tο first find the dimensiοns οf each rectangle that make up the patiο.

The first rectangle has a length οf 15 feet and a width οf 20 feet. Its area is:

Area οf the first rectangle = length x width = 15 ft x 20 ft = 300 square feet

The secοnd rectangle has a length οf 38 feet and a width οf 42 feet. Its area is:

Area οf the secοnd rectangle = length x width = 38 ft x 42 ft = 1,596 square feet

Tο find the tοtal area οf the patiο, we need tο add the areas οf the twο rectangles:

Tοtal area οf the patiο = Area οf the first rectangle + Area οf the secοnd rectangle

Tοtal area οf the patiο = 300 square feet + 1,596 square feet = 1,896 square feet

Therefοre, the area οf Emily's patiο is 1,896 square feet.

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The equation of the circle in standard form is (x - 3)²+ y² = 1.

The standard form of the equation of a circle is:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is its radius.

This equation represents all points in the xy-plane that are equidistant from the center (h, k) of the circle. The squared terms (x - h)² and (y - k)² represent the distances between the center and any point (x, y) on the circle, and r² is the squared length of the radius of the circle.

In the given question,

The center of the circle is (3, 0), and the radius extends to the point (4, 0), which means the radius has a length of 1 unit.

Substituting the values of the center and radius into the standard form equation of a circle, we get:

(x - 3)² + (y - 0)² = 1²

Simplifying, we get:

(x - 3)² + y² = 1

Therefore, the equation of the circle in standard form is:

(x - 3)² + y² = 1.

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The length of the remaining two equal sides is 17.3 millimeters.

What is Triangle ?

A triangle is a geometric shape that consists of three line segments or sides and three angles. Triangles are one of the basic shapes in geometry, and they are used extensively in many fields of mathematics, science, engineering, and art.

Let's denote the length of the remaining two equal sides by "x".

Since the trapezoid is isosceles, the two equal sides have the same length.

The perimeter of a trapezoid is the sum of the lengths of all its sides. Therefore, we can set up an equation based on the information given:

shorter base + longer base + 2(equal sides) = perimeter

Substituting the values we know, we get:

9.2 + 12.4 + 2x = 56.2

Simplifying the equation:

21.6 + 2x = 56.2

2x = 34.6

x = 17.3

Therefore, the length of the remaining two equal sides is 17.3 millimeters.

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The value of P and Q is 35.

Let's first understand the given information:

Charles has two six-sided dice, one fair and one biased. The fair die has equal probabilities for each side (1/6). The biased die has a 2/3 probability for rolling a six and 1/15 probability for each of the other five sides. Charles chooses a die randomly and rolls it three times.

Given that the first two rolls are sixes, we are asked to find the probability that the third roll will also be a six, expressed as a simplified fraction p/q.

We can solve this problem using conditional probability. Let A be the event that Charles chooses the biased die, and B be the event that he rolls three sixes in a row. We want to find the probability of B given A.

P(B|A) = P(A ∩ B) / P(A)

Since Charles chooses the die randomly, P(A) = 1/2. To find P(A ∩ B), we need to find the probability that Charles chooses the biased die and rolls three sixes in a row. This can be calculated as:

P(A ∩ B) = P(A) * P(rolling three sixes with the biased die) = (1/2) * (2/3)^3

Now we can find P(B|A):

P(B|A) = P(A ∩ B) / P(A) = ((1/2) * (2/3)^3) / (1/2) = (2/3)^3 = 8/27

Thus, the probability that the third roll will also be a six, given that the first two rolls are sixes, is 8/27, so the answer is p + q = 8 + 27 = 35.

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Answer: (D) $4,345.

Step-by-step explanation:

The surface area of the given figure is 90sq inches which include 3 rectangular faces and two triangular faces.

Area of 1 rectangular face is 6.5x5=32.5.
Area of 2 rectangular face is 5x6=30
Area of 3 rectangular face is 2.5x5=12.5
Area of the two triangluar faces= 2.5x6x0.5x2=15

Total area is 90 sq inches.

To find the surface area of a joined figure, we need to add up the surface areas of all the individual components of the figure.

For example, if we have a figure made up of a rectangular prism and a pyramid attached to the top, we can find the surface area by first calculating the surface area of the rectangular prism:

Surface area of the rectangular prism = 2lw + 2lh + 2wh

Surface area of the pyramid = (1/2)3.14 + B

Finally, we add the surface area of the rectangular prism to the surface area of the pyramid to get the total surface area of the joined figure.

Total surface area = Surface area of the rectangular prism + Surface area of the pyramid

This method can be applied to any joined figure made up of multiple components. We just need to find the surface area of each individual component and then add them up.

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t is not accurate to claim that someone is healthier simply because they consume more calories or more vegetables. A variety of factors, including the quality and nutrient density of the food consumed, physical activity levels, genetics, and overall lifestyle choices, all contribute to overall health. Therefore, it is important to consider a comprehensive approach to evaluating health rather than relying solely on calorie intake as a metric.

What is genetic?

Genetics refers to the study of genes, heredity, and variation in living organisms. Genes are segments of DNA that contain instructions for building and maintaining an organism, and they are passed down from parents to their offspring through reproduction.

Simply comparing the number of calories consumed by two individuals is not a sufficient way to determine who is healthier. While consuming a diet with a variety of vegetables can certainly contribute to good health, there are many other factors that can affect overall health.

For example, the quality and nutrient density of the food consumed is important, not just the quantity. A person consuming 2,000 calories from nutrient-dense whole foods, including a variety of vegetables, may be healthier than someone consuming 2,500 calories from highly processed, nutrient-poor foods.

Additionally, individual factors such as physical activity levels, genetics, and overall lifestyle choices can also impact overall health. Therefore, it is important to take a comprehensive approach to evaluating health rather than relying solely on calorie intake as a metric.

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The measure of the smallest angle, angle Q, is approximately 41°.

To find the smallest angle in the triangle with side lengths 4, 5, and 6, we can use the cosine rule.

The cosine rule states that for any triangle with sides a, b, and c and corresponding angles A, B, and C:
[tex]cos(A) = (b^2 + c^2 - a^2) / (2 * b * c)[/tex]
In our case, since we want to find the smallest angle, we need to find the angle opposite the smallest side.

The smallest side is 4, so we are looking for angle A.

The other sides, b and c, are 5 and 6 respectively.
Step 1: Plug in the side lengths into the cosine rule formula.
[tex]cos(A) = (5^2 + 6^2 - 4^2) / (2 * 5 * 6)[/tex]
Step 2: Calculate the values inside the parentheses.
cos(A) = (25 + 36 - 16) / (60)
Step 3: Simplify the equation.
cos(A) = (45) / (60)
Step 4: Divide the numbers.
cos(A) = 0.75
Step 5: Now, to find angle A, take the inverse cosine [tex](cos^(-1))[/tex] of the result.
A = cos^(-1)(0.75)
Step 6: Calculate the angle in degrees.
A ≈ 41.41°
Step 7: Round the angle to the nearest whole degree.
A ≈ 41°.

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Answer: The answer is B, or 32 m.

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Based on the given information, the angle is C. 22.1° an  A. 20.4°.

Trigonometric functions are mathematical functions that relate the angles and sides of a right triangle.

The basic trigonometric functions are:

Sine (sin): the ratio of the length of the side opposite an angle to the length of the hypotenuse of the triangle.

Cosine (cos): the ratio of the length of the side adjacent to an angle to the length of the hypotenuse of the triangle.

Tangent (tan): the ratio of the length of the side opposite an angle to the length of the side adjacent to the angle.

We can use the trigonometric function tangent to find angle R in the right triangle:

tan(R) = opposite/adjacent = PQ/QR

tan(R) = 5.2/13.4

R = tan⁻¹(5.2/13.4)

R ≈ 22.1°

Therefore, the answer is C. 22.1° rounded to one decimal place.

Using the Pythagorean theorem, we can find the length of side AB:

AB = √(AC² - BC²)

= √(25² - 10²)

= √(575)

Now we can use the sine function to find the measure of angle C:

sin(C) = BC/AB

C = sin⁻¹(BC/AB)

= sin⁻¹(10/√(575))

≈ 20.4°

Therefore, the answer is A) 20.4°.

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Answer:

5/48

Step-by-step explanation:

the first thing you would do is change 6 into the reciprocal, which is 1/6. After, you multiply the fractions just like that.

hope this helps!! :3

The equation of the graph are

For the straight line graph, the equation of a straight line is of the formula

y = mx + b

where m is the slope and b is the y intercept

solving for the slope, using (2, 0) and (6, -2)

m = (0 - -2) / (2 - 6)

m = 2 / -4

m = -0.5

Equation of a line of slope -0.5 passing through point (2, 0)

y - 0 = -0.5(x - 2)

y = -0.5x + 1

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