Judy uses 12 tiles to make a mosaic. 8 of the tiles are blue. what fraction ,in simplest form, represents the tiles that are blue

Given Expression is equivalent to 5x^2 - 2x + 3 With the Same Variable and exponent we have added or subtracted their constant value.

First, try to learn what is an expression.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4x+ 15, for instance, the terms 4x and 15 are separated from the variable x by the arithmetic sign +.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The following components make into a mathematical expression:

Constant, Variables, Terms, Operators.

Given expression is  (2x^2-4) - (-3x^2+2x-7)

let's Multiply - sign inside the bracket.

2x^2 - 4 + 3x^2 - 2x + 7

With the Same Variable and exponent and their constant value, we can perform mathematical operations like addition, multiplication, and subtraction.

2x^2 + 3x^2 = 5x^2

5x^2 - 2x + 3.

Given Question is  incomplete complete question here.

Which expression is equivalent to  

\((2x^2-4)-(-3x^2+2x-7)\)

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Pedro will lose 11 pencils.

What is an average?

Calculating the outcome of multiplying the total of numerous quantities by the number of quantities, then dividing this result.

Here, we have

Pedro has twelve more pencils than Peter.

Peter has nine more pencils than Paul

Then,

The three quantities of pencils are x, x - 12, and x - 21.

The average of this is (x - 33)/3 = x - 11.

Hence, Pedro will lose 11 pencils.

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-4x +6x²=-4+3x²

6x²-3x²-4x+4=0

3x²-3x+4=0

Answer:

y = 1.5x + 1.5

Step-by-step explanation:

Since it says it is growing at a constant rate, it means that is linear.

The linear formula follows this form: y = mx + c, where m is the gradient and c is the y-intercept

To find the gradient, you sub the values into the gradient formula.

That would be 4.5 - 3.0 divided by 2-1

That would be 1.5/1 = 1

Hence the gradient is 1.5

y = 1.5x + c

To find c, you sub in one point into the equation

I'm going to go with (3, 6.0)

6 = 1.5*(3) + c

6 - 4.5 = c

c = 1.5

Hence the formula is: y = 1.5x + 1.5

Answer:

i think it would be figure c but i could be wrong

Answer:

The fraction 13/7 is a rational number. Both 13 and 7 are integers (whole numbers), so by definition, 13/7 is a rational number

Answer:

C

Step-by-step explanation:

you take the 5 family members, and you take the total, and divide it by 5. the answer is 29.75

Step-by-step explanation:

12x+15+69= 180

12x = 96 X =8

x+137 + 50 = 180

x = - 7

80= 20x

x = 4

Answer:

C. 63 yd³. I took the test.

The pdf (probability density function) of any particular measurement error X is a normal distribution with a mean of zero and a variance of σ^2.

The assumption of E(X) = 0 means that the expected value of the error is zero, indicating that the errors in measurements tend to cancel out over multiple trials. The assumption of a normal distribution implies that the errors are randomly and normally distributed around the true value, with most errors falling close to the mean (zero in this case) and fewer errors occurring farther away. The pdf of the normal distribution is a bell-shaped curve, with the majority of measurements falling within one standard deviation of the mean, and the probability decreasing as the distance from the mean increases.

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Answer:

10.71 % of the time

Step-by-step explanation:

3! = 6

6 / 56 = 0.1071

to percent it becomes 10.71

This level of granularity can be particularly useful when analyzing complex datasets or when trying to identify subtle relationships between variables.

What is a graph?

In computer science and mathematics, a graph is a collection of vertices (also known as nodes or points) connected by edges (also known as links or lines).

One advantage of being able to see each individual data point in a graph when comparing two data sets is that it allows for a more accurate and detailed analysis of the similarities and differences between the two sets. By examining the distribution and spread of the data points, it is possible to identify patterns and trends that may not be immediately apparent from a simple comparison of summary statistics, such as means or medians.

Additionally, by seeing each individual data point, it becomes possible to detect outliers or anomalies that may be skewing the data, which can lead to more informed decision-making and a deeper understanding of the underlying trends and patterns in the data. This level of granularity can be particularly useful when analyzing complex datasets or when trying to identify subtle relationships between variables.

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The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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SOLUTION

Write out the given parameters in the questions

The critical value is the measurement used to calculate the margin of error within a set of data and is expressed as

Then

Therefore the critical value is1.960

Then the standard error is given by

Substituting the value we have

Therefore the standard error is 0.089

The confidence interval is given by

The mean for the sample will be

Substitute the value to obtain the confidence interval

Therefore, the confidence interval is (173.81,174.16) to 2d.p

Answer:

Points to place: (2,8),(3,2),(4,0),(5,2),(6,8)

Assuming that "in an easterly direction" means that the displacement from O to P is in the positive direction, the position of point P can be expressed as +50 km.

Positive numbers are typically expressed with no sign or with a plus sign (+) in front of them. For example, +5 or 7. Negative numbers are expressed with a minus sign (-) in front of them. For example, -3 or -10.

These expressions are used to differentiate between values that are greater than zero (positive) and those that are less than zero (negative).

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In a right-angled triangle, the Pythagoras theorem is used to find the hypotenuse. Then the hypotenuse is 32.2 inches.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

A right triangle has legs measuring 16 inches And 28 inches.

We know the Pythagoras theorem

\(\rm Hypotenuse ^2 = Base ^2 + Perpendicular^2\)

Then the hypotenuse will be.

\(\rm Hypotenuse ^2 = Base ^2 + Perpendicular^2\\\\\rm Hypotenuse ^2 = 16^2 + 28^2\\\\ \rm Hypotenuse ^2 = 256 + 784\\\\\rm Hypotenuse ^2 = 1040\\\\\rm Hypotenuse \ = 32.2\)

Thus, the hypotenuse is 32.2 inches.

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The probability that an arriving student will find at least one other student waiting in line is approximately 0.167.

To solve this problem, we'll use the M/M/1 queueing model with Poisson arrivals and exponential service times. Let's calculate the required values: (a) Percentage of time Judy is idle: The utilization of the system (ρ) is the ratio of the average service time to the average interarrival time. In this case, the average service time is 10 minutes, and the average interarrival time is 12 minutes. Utilization (ρ) = Average service time / Average interarrival time = 10 / 12 = 5/6 ≈ 0.8333

The percentage of time Judy is idle is given by (1 - ρ) multiplied by 100: Idle percentage = (1 - 0.8333) * 100 ≈ 16.67%. Therefore, Judy is idle approximately 16.67% of the time. (b) Average waiting time for a student:

The average waiting time in a queue (Wq) can be calculated using Little's Law: Wq = Lq / λ, where Lq is the average number of customers in the queue and λ is the arrival rate. In this case, λ (arrival rate) = 1 customer per 12 minutes, and Lq can be calculated using the queuing formula: Lq = ρ^2 / (1 - ρ). Plugging in the values: Lq = (5/6)^2 / (1 - 5/6) = 25/6 ≈ 4.17 customers Wq = Lq / λ = 4.17 / (1/12) = 50 minutes. Therefore, on average, a student spends approximately 50 minutes waiting in line.

(c) Average length of the line: The average number of customers in the system (L) can be calculated using Little's Law: L = λ * W, where W is the average time a customer spends in the system. In this case, λ (arrival rate) = 1 customer per 12 minutes, and W can be calculated as W = Wq + 1/μ, where μ is the service rate (1/10 customers per minute). Plugging in the values: W = 50 + 1/ (1/10) = 50 + 10 = 60 minutes. L = λ * W = (1/12) * 60 = 5 customers. Therefore, on average, the line consists of approximately 5 customers.

(d) Probability of finding at least one student waiting in line: The probability that an arriving student finds at least one other student waiting in line is equal to the probability that the system is not empty. The probability that the system is not empty (P0) can be calculated using the formula: P0 = 1 - ρ, where ρ is the utilization. Plugging in the values:

P0 = 1 - 0.8333 ≈ 0.1667. Therefore, the probability that an arriving student will find at least one other student waiting in line is approximately 0.167.

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Answer:

The answer is A since it does the same movements twice. Think of it like flipping a coin, then actually taking the coin and flipping it back over regardless of what it lands on.

Step-by-step explanation:

Hope this helps have a good rest of your day

Answer:

(-1/10)

Step-by-step explanation:

I'll assume 1/4xy is (1/4)xy and not 1/(4xy).

(1/4)xy

(1/4)(-2/3)(3/5)

Multiple the numerators and denominators separately:

Numerator + 1*(-2)*3 = -6

Deniominator 4*3*5 = 60

Put them back together:  (-6/60)  This reduces to (-1/10)

The total number of cupcakes charity can make in 8 hours is 384

The total number of cupcakes she can make in 45 minutes is 36

Cupcakes she can make in 1 minute = 36/45

Cupcakes she can make in 1 minute = 0.8

Cupcakes she can make in 8 hours

We will convert hours into minutes

1 hour = 60 min

8 hour = 8 × 60 min

8 hour = 480 min

Cupcakes she can make in 8 hours that is 480 min = 480 × 0.8

Cupcakes she can make in 8 hours = 384

Total number of cupcakes she can make is 384

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If you draw all the diagonals of a normal hexagon, there are 3*6=18 possible triangles; however, three of those are identical (the equilateral triangles), leaving us with 18-3=15 triangle possibilities.

In terms of geometry, a hexagon is a closed, six-sided polygon in two dimensions. A hexagon has six angles and six vertices. Hexa and gonio both denote the number six. A hexagon can be found in the shapes of a honeycomb, a football, a pencil face, and floor tiles. a standard hexagonal 2D geometric polygon with six equal-length sides and six equal-sized angles. All of the lines are closed, and there are no curving edges. A regular hexagon has 720 degrees of internal angles. Additionally, these shapes have six rotating and six reflective symmetries.

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The appropriate reasons for each. are:

1. Rational/The sum of two rational is always rational

2. Irrational/ the sum of a rational and an irrational is always irrational

3. Irrational/The product of a nonzero rational and an irrational is always irrational

4. Rational/The product of two rational is always rational

A rational number is simply a number that can be written as a fraction of two integers, as long as the denominator is not equal to zero. There are numerous rational numbers, like 1/2, -3/4, and 5, for instance.

Rational numbers comprise of both whole numbers and fractions while the irrational numbers, on the other hand, are those that bear radical signs above them. Once you have known if the two numbers are rational or irrational, the solution can be found among the other area of the solutions.

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The perimeter equation is:

2x + x + (1/2)πx = 24 ft.

Simplifying the equation, we have:

(5/2)πx + 3x = 24 ft.

To find the value of x, we solve the equation:

(5/2)πx + 3x = 24 ft.

This equation can be solved numerically or algebraically to find the value of x.

The perimeter of a Norman window can be calculated by adding the lengths of all its sides. In this case, the perimeter is given as 24 ft.

Let's break down the components of the Norman window:

- The rectangular part has two equal sides and two equal widths. Let's call the width of the rectangle "x" ft.

- The semicircle on top has a diameter equal to the width of the rectangle, which is also "x" ft.

To find the perimeter, we need to consider the lengths of all sides of the rectangle and the semicircle.

The perimeter consists of:

- Two equal sides of the rectangle, each with a length of "x" ft. So, the total length for both sides of the rectangle is 2x ft.

- The width of the rectangle, which is also "x" ft.

- The curved part of the semicircle, which is half the circumference of a circle with a diameter of "x" ft. The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter. So, the circumference of the semicircle is (1/2)πx ft.

To summarize, the perimeter equation is:

2x + x + (1/2)πx = 24 ft.

Simplifying the equation, we have:

(5/2)πx + 3x = 24 ft.

To find the value of x, we solve the equation:

(5/2)πx + 3x = 24 ft.

This equation can be solved numerically or algebraically to find the value of x.

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In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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The Greek letter alpha (α) represents the probability that is the level of significance in statistical hypothesis testing and helps control the risk of making Type I errors.

The Greek letter alpha (α) represents the level of significance in statistical hypothesis testing. It is a predetermined threshold that determines the probability of rejecting the null hypothesis when it is true. In other words, it measures the willingness of a researcher to make a Type I error, which is the incorrect rejection of a true null hypothesis.

The level of significance (α) is typically set before conducting the hypothesis test and is commonly chosen at 0.05 (5%) or 0.01 (1%). It represents the maximum probability that a researcher is willing to accept for making a Type I error.

When performing hypothesis tests, the p-value (probability value) is compared to the level of significance (α) to determine whether the null hypothesis should be rejected or not. If the p-value is smaller than the level of significance, the null hypothesis is rejected in favor of the alternative hypothesis.

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The triangles are similar by: AA Similarity Postulate

If two triangles are seen to be similar, then we can say that the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides. This proves to us that the ratio of the area of the two similar triangles is proportional to the squares of the corresponding sides of both the triangles.

The similarity theorems of triangle are:

AA Similarity

SAS Similarity

SSS Similarity

We can conclude that the triangles are similar because they have the same angle measurements. They both share the same angle that the stake makes with the ground, and the ground and the pole, and ground and Jamal make right angles. Due to this, they are similar by AA Similarity.

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Answer:

you can place a point on any number to the left of -1 on the number line, just don't place one on it because that would be equal to.