The x-intercepts for the linear factors (x+2) and (x-5) are and .

Answer:

It is a straight line that passes through the origin.

Answer:

It is a straight line that passes through the origin.

Step-by-step explanation:

Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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The solution of the inequality 6n + 10 < 4n + 16 will be;

⇒ n < 3

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The expression is,

⇒ 6n + 10 < 4n + 16

Now,

Solve the inequality as;

⇒ 6n + 10 < 4n + 16

Subtract 4n both side, we get;

⇒ 6n + 10 - 4n < 4n + 16 - 4n

⇒ 2n + 10 < 16

Subtract 10 both side, we get;

⇒ 2n + 10 - 10 < 16 - 10

⇒ 2n < 6

Divide by 2, we get;

⇒ n < 3

Thus, The solution of the inequality 6n + 10 < 4n + 16 will be;

⇒ n < 3

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Answer:

3

Step-by-step explanation:

Given the data: 7 6 5 9 3 4 7 9 5 8

INTERQUARTILE RANGE (IQR) = Q3 - Q1

Rearranging the data: 3, 4, 5, 5, 6, 7, 7, 8, 9, 9

Q3 = 0.75(n+1)th term

Q3 = 0.75(10 + 1) th term

Q3 = 0.75(11)th term = 8.25th term

Taking the 8th term = 8

Q1 = 0.25(11)th term = 2.75th

Taking the average of the 8th and 9th term:

(5 + 5) / 2 = 10/2 = 5

Q3 - Q1 = (8 - 5) = 3

The histogram below shows the distribution of her 60 tip amounts for one day of work.

a) The distribution of tips is skewed right, whith a gap betwen 15 to 20 and a posible out lier at or above 20. The mean will be larger than the median, and the median will be in the $2,5 to $5 bar. Most tips are $5 or less, but there is some high variability with a range of $22.50.

b) The mean would increase because $18 is farther from the mean than $8. Also, more skew is added to the grapht $18 may be an out lier. This results in a larger mean.

The median: Should not change very much. The median is the average of the 30 th and 31st values, and a change in data value from $8 to $18 will not move the middle number.

Your question is incomplete, but most probably the complete question can be seen in the attachment.

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Answer:

m=-3/5

Step-by-step explanation:

Simplifying

3x + 5y = 7

Solving

3x + 5y = 7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5y' to each side of the equation.

3x + 5y + -5y = 7 + -5y

Combine like terms: 5y + -5y = 0

3x + 0 = 7 + -5y

3x = 7 + -5y

Divide each side by '3'.

x = 2.333333333 + -1.666666667y

Simplifying

x = 2.333333333 + -1.666666667y

Answer:jdjddjdjdjdjdj

Step-by-step explanation:

Xnxndnsjsnsnxnsn

A. Two-way radio A covers 113 square miles.

B. Rounded to the nearest whole number, two-way radio B covers 523 square kilometers.

C. Comparing the areas, we can see that radio B covers the larger area with 523 square kilometers.

D. The coverage area of radio B is approximately 1.33 times larger than the coverage area of radio A.

Radius is a term used in geometry to describe the distance from the center of a circle or sphere to any point on its circumference or surface, respectively. It is usually denoted by the letter "r" and is measured in units of length, such as inches, centimeters, or meters. The radius of a circle is half of its diameter, while the radius of a sphere is one-half of its diameter.

Part A:

The area covered by two-way radio A can be calculated using the formula for the area of a circle:

Area = π x radius²

Radius of radio A = 6 miles

Area = 3.14 x 6²

Area = 113.04 square miles

Rounded to the nearest whole number, two-way radio A covers 113 square miles.

Part B:

The area covered by two-way radio B can also be calculated using the same formula:

Area = π x radius²

Radius of radio B = 12.88 kilometers

Area = 3.14 x (12.88)²

Area = 523.14 square kilometers

Rounded to the nearest whole number, two-way radio B covers 523 square kilometers.

Part C:

To compare the areas covered by the two-way radios, we need to convert the area covered by radio A from square miles to square kilometers, using the conversion factor given:

1 mile = 1.61 kilometers

Therefore, 1 square mile = (1.61)² square kilometers

Area covered by radio A = 113 square miles

Area covered by radio A in square kilometers = 113 x (1.61)²

Area covered by radio A in square kilometers = 290.22 square kilometers

Comparing the areas, we can see that radio B covers the larger area with 523 square kilometers.

Part D:

To determine the scale factor relationship between the radio coverages, we can divide the radius of radio B by the radius of radio A:

Scale factor = radius of radio B / radius of radio A

Scale factor = 12.88 kilometers / 6 miles

Scale factor = 12.88 kilometers / 9.66 kilometers (since 1 mile = 1.61 kilometers)

Scale factor = 1.33

This means that the coverage area of radio B is approximately 1.33 times larger than the coverage area of radio A.

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Answer:

132

Step-by-step explanation:

there are 66 hands in party so we multi 2 by 66=132

The optimized values of X and Y will represent the number of Yummy and Wholesome patties produced per month.

The total cost of production and storage will be minimized according to the objective function.

What is linear programming?

Linear programming is a mathematical method used to optimize (maximize or minimize) a linear objective function subject to a set of linear constraints. It is widely used in various fields, including economics, operations research, engineering, and finance, to solve optimization problems.

In linear programming, the objective is to find the best possible solution that satisfies a given set of constraints while optimizing a specific objective. The objective function represents the quantity to be maximized or minimized, such as profit, cost, time, or resource utilization. The constraints define the limitations or restrictions on the decision variables.

Decision Variables:

Let X be the number of Yummy patties produced per month.

Let Y be the number of Wholesome patties produced per month.

Objective Function:

Minimize the total cost of producing and storing Yummy and Wholesome sandwich patties.

Total Cost = (Production Cost per patty * Number of Yummy patties) + (Production Cost per patty * Number of Wholesome patties) + (Storage Cost per patty * Number of Yummy patties) + (Storage Cost per patty * Number of Wholesome patties)

Constraints:

Production capacity constraint: X + Y <= 12,000,000 (the total number of patties produced per month should not exceed 12 million).

Demand constraints: X >= demand for Yummy patties per month

Y >= demand for Wholesome patties per month

Fat content constraint: (20X + 8Y) / (X + Y) <= 13 (average fat content should not exceed 13 grams per patty)

To solve this linear programming problem and optimize the total cost, you can use Solver in software like Microsoft Excel. Here are the steps to set up and solve the problem using Solver:

Set up the spreadsheet:

Create a table with columns for variables (X and Y), objective functions, and constraints.

Enter the appropriate formulas for the objective function and constraints based on the given information.

Define the objective cell as the total cost and set it to minimize.

Set up the Solver:

Open Solver in Excel (usually found under the Data or Analysis tab).

Set the objective cell as the target to minimize.

Define the decision variables and their limits (X and Y >= 0).

Add the constraints based on the given conditions.

Set the Solver options as needed (non-integer solutions are allowed).

Run the Solver:

Click the Solve button to find the optimal solution.

Solver will adjust the values of X and Y to minimize the total cost while satisfying the constraints.

Review the results:

Once Solver completes, review the solution provided.

The optimized values of X and Y will represent the number of Yummy and Wholesome patties produced per month.

The total cost of production and storage will be minimized according to the objective function.

By following these steps and using Solver, you can find the optimal solution for minimizing the total cost of producing and storing Yummy and Wholesome sandwich patties while satisfying the given constraints.

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The Central Limit Theorem (CLT) is relevant to control charts as it provides a theoretical foundation for their use in statistical process control. By stating that the distribution of sample means from a population approaches a normal distribution regardless of the population's original distribution, the CLT allows control charts to assume normality for sample statistics.

The Central Limit Theorem (CLT) plays a vital role in control charts, which are used in statistical process control to monitor and maintain process stability. Control charts involve plotting sample statistics, such as sample means or ranges, to detect any deviations from the process mean or variability. These sample statistics are assumed to follow a normal distribution, allowing the establishment of control limits based on probabilities.

One empirical article that demonstrates the use of statistical process control and the Central Limit Theorem in an organization is "Application of Statistical Process Control in Reducing Process Variability: A Case Study in the Automotive Industry" by A. Atmaca and M. Karadağ. The study focuses on implementing statistical process control techniques, including control charts, to reduce process variability in an automotive manufacturing process. The authors use the Central Limit Theorem to assume normality in the sample means and ranges, enabling the establishment of control limits. By monitoring these control charts, they were able to identify and address process variations effectively, leading to improved quality and reduced variability in the production process.

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The probability that X is between 134.4 and 140.1 is approximately 0.4076, which is closest to the option 0.4069.

To calculate this probability, we need to standardize the values using the standard normal distribution. First, we find the z-scores for the lower and upper bounds:

z1 = (134.4 - 137.0) / 5.3 ≈ -0.4906

z2 = (140.1 - 137.0) / 5.3 ≈ 0.5849

Next, we use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores. The probability corresponding to z1 is P(Z < -0.4906) ≈ 0.3131, and the probability corresponding to z2 is P(Z < 0.5849) ≈ 0.7207.

To find the probability that X is between 134.4 and 140.1, we subtract the probability associated with the lower bound from the probability associated with the upper bound:

P(134.4 < X < 140.1) = P(Z < 0.5849) - P(Z < -0.4906) ≈ 0.7207 - 0.3131 = 0.4076.

As a result, the chance that X lies between 134.4 and 140.1 is roughly 0.4076, which is closest to the value of 0.4069 for the option.

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3/4 is the total.

See attached image for explanation.

Please consider marking "Brainliest".

Thanks <3

Answer:

6

Step-by-step explanation:

3/4=6/8

1/8x=6/8

x=6

The perimeter of a triangle with sides √125, √5 and √20 is 8√5 units.

A triangle with sides √125, √5 and √20.

The perimeter of a shape is defined as the total distance around the shape.

Here, perimeter = √125+√5+√20

= √25×5+√5+√4×5

= 5√5+√5+2√5

= 8√5 units

Therefore, option A is the correct answer.

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Answer:

C = 88

Step-by-step explanation:

if you add them all u can put them in this form 180 - (43) - (49) and then i got 88 your welcome :D

Using the principle of counting ,

Total 648 , three-digit positive numbers are there such that all three digits are different and the first digit is not zero.

Counting principle: If an event occurs m times and another event occurs n times, the total number of occurrences of the event is m × n.

Let the three-digit number be abc.

Since, 3-digit numbers cannot have a 0, in the hundreds place i.e., c place. The first left most digit (a) can be any number from 1 to 9. Hundreds place can be entered in 9 ways. The 10ᵗʰ digit (i.e., b ) can contain a zero, but can not use the digit on 100ᵗʰ place(i.e., a ).So, there is also 9 ways to enter 10ᵗʰ digit. Similarly, the ones place( i.e., c) can contain zero digits, but the 100ᵗʰ and 10ᵗʰ placed digits cannot. So, there are 8 ways to fill the ones place.

Then, according to counting principles, the total possible three digit number is 9×9×8 = 648

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The mean of the deviation scores in any data distribution is also known by research scientists as the mean deviation or the average deviation. It is a measure of the average distance of each data point from the mean of the distribution.

The mean deviation is calculated by finding the absolute difference between each data point and the mean, adding up these differences, and dividing by the number of data points. Unlike the standard deviation, the mean deviation gives equal weight to each data point and is less affected by outliers.

However, it is not as commonly used as the standard deviation because it does not have the same statistical properties and is not as easily interpreted in terms of probability distributions.

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Answer:

\(r\geq -18\)

Step-by-step explanation:

\(\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}\)

Hope this helps!

Answer:

Step-by-step explanation:

a.)

\(4880.76=4000(1+.04/4)^{4x}\\\\1.22019=1.01^{4x}\\\frac{\ln{1.22019}}{\ln{1.01}}=4x\\x= 4.999999= 5\)

b.)

\(5395.4=4000(1+x/12)^{12*5}\\1.34885=(1+x/12)^{60}\\\sqrt[60]{1.34885} =1+x/12\\x= 0.0599999772677= .06\)

c.)

\(\i)\\100*(1+.1255)= 112.55\\\\2)\\100*(1+.1218/2)^2= 112.550881= 112.55\)

When a research hypothesis does not predict the direction of a relationship, the test is typically two-tailed.

A two-tailed hypothesis is used when there is no specific prediction about

the direction of the relationship between variables.

It simply states that there is a relationship between the variables being

studied, but does not specify whether the relationship will be positive or

negative.

In contrast, a one-tailed hypothesis predicts the direction of the

relationship (i.e. positive or negative) and is used when there is a clear

expectation about the direction of the effect. A direct positive hypothesis

predicts a positive relationship between variables.

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Answer:

The standard form of an equation depends on the type of function f(x) you are referring to. Here are some examples of standard forms for commonly used functions:

Linear function: f(x) = mx + b, where m is the slope of the line and b is the y-intercept.

Quadratic function: f(x) = ax^2 + bx + c, where a, b, and c are constants. This is also called the "vertex form" of the quadratic function.

Exponential function: f(x) = ab^x, where a and b are constants. This is also called the "base exponential form" of the function.

Logarithmic function: f(x) = loga(x), where a is the base of the logarithm.

There are many other types of functions, and each one has its own standard form.

Step-by-step explanation:

Answer:   83  

Step-by-step explanation:

200*2.5=83

The solution to the equation 4n^2 = 64 is n = 4.

The values for the variable in 2x^2 + 5x -3 are 1/2 and -3.

The equation 4n^2 = 64 can be solved by dividing the two sides by four. As a result, we get n^2 = 16. After taking the square root of both sides, it becomes apparent that n=±4, thereby providing us with solutions for n as being equal to both 4 and -4.

For equations such as 2x^2 + 5x -3 = (2x - 1)(x+3) = 0, setting each factor equal to zero is necessary to solve for x with either simultaneous or individual approaches. If done concurrently, two separate sets of equations come up: 2x-1=0 or x+3=0. Alternatively, solving these separately yields values equaling x=1/2 and x=-3.

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Answer:

because if you flip it they will line up

Step-by-step explanation: