The table shows information about the masses of some dogs.

a) Work out the minimum number of dogs that could have a mass of more than

27 kg

b) Work out the maximum number of dogs that could have a mass of more than

27 kg

In mathematics, the symbol " σ" is "σ" (sigma) which is commonly used to represent the sum of a set of values.

It is used to indicate that a series of values are to be added together. For example, the notation "Σx" is read as "the sum of x" and it means to add all values of x together. It is often used in mathematical analysis, statistics, and physics.

For instance, in statistics, the symbol "σ" is used to represent population standard deviation, which is a measure of the dispersion of a set of data points from the mean.

In probability theory, the symbol "σ" is also used to represent the standard deviation of a random variable.

In general, the specific meaning of the symbol "σ" depends on the context in which it is used.

It is also known as Summation notation.

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Odd degree polynomials can have no real roots.

A polynomial of even degree can have any number from 0 to n distinct real roots. A polynomial of odd degree can have any number from 1 to n distinct real roots.

polynomials

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

Real root

A real root is a solution to an equation which is also a real number.

Real number

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

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Step-by-step explanation:

continuation of the previous answer:

now, for the final step angie should use the change of base formula in order to make the logarithmic expression simpler to analyze.

[tex]x = \frac{ log(6) }{ log(23) } [/tex]

after applying this formula Angie has successfully solved her exponential equation.

Answer:

Angie should use the change of base formula to make this equation faster. Which would be x= log(6)/log(23). Then, after using this formula and just plugging it into your calculator, Angie should have successfully answered her question. 

Step-by-step explanation:

I took the exam

The domain of the equation is (A) All real numbers and the range of the equation is (A) y≥-4.

The range of values that can be plugged into a function is known as its domain. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).

The domain of the equation is (A) All real numbers because the value of x is all real numbers.

and the range of the equation is (A) y≥-4, because the value of variable y is greater than and equal to -4 for all values of x.

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Answer:

15

Step-by-step explanation:

to determine the number of plants per row, take the square root of 225

sqrt(225) = 15

There should be 15 plants per row

Answer:

Step-by-step explanation:

Since the formation of the strawberry plants should represent a square, it implies that the dimensions of the formation (i.e length and breadth) must be equal.

To achieve this, we have to calculate its square root as the formula for the area of any square is given as (side)^2.

Now, [tex]\sqrt{225}[/tex] = 15

implies that each as well as each column will contain 15 strawberry plants  

The solution of the equation 2x+y=4 and 3x-2y=-1 is the value of x = 1, while the value of y = 2

We have, the sets of equations as:

2x+y=4 and 3x-2y=-1?

As here, let 2x+y = 4 ----(i) and 3x-2y = -1 ----(ii)

As here to solve the value of x and y we will first equalise the co-efficient of x.

Here, the co-efficient of x in the first equation is 2, while in the second equation it is 3

So, for equalising, we will first multiply the first equation by 3 and the second by 2,

Thus, we will get it as:

6x+3y=12 ----(iii)

6x-4y=-2----(iv)

Now subtracting (iv) from (iii)

We will get,

7y = 14

=>y=2

Putting the value of y in (i),

2x=4-y = 4-2 =2

=>x = (2/2)=1

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The complete question may be like:

What is the solution of the equations 2x+y=4 and 3x-2y=-1?​

The total profit P in terms of x can be expressed as

P(x) =  (a - c) (a/(x-c) + b(95-x))

The selling price that will maximize profit is the positive constant, a in dollars.

To find the selling price that will bring a maximum profit, we need to find the derivative of the profit function P(x) and set it equal to 0.

The profit function P(x) is given by P(x) = nx - nc,

where n is the number of backpacks sold and c is the cost to manufacture and distribute each backpack.

Substituting the given expression for n into the profit function gives:

P(x) = (a/(x-c) + b(95-x))x - c(a/(x-c) + b(95-x))

P(x) = (a - c) (a/(x-c) + b(95-x))

To find the selling price that will maximize profit, we need to find the critical points of P(x) by taking the derivative of P(x) with respect to x and setting it equal to 0:

P'(x) = (a - c) (-a/(x - c)² - b) = 0

Thus P'(x) = 0 at c = a or (x - c)² = -a/ b

a and b are positive constants, so -a/ b is negative but (x - c)² is never negative, so it is not a possible solution.

So only solution is c = a, that is for maximum profit selling price, c should be equal to the positive constant, a.

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The four consecutive odd integers = 15, 17, 19, 21

Positive, negative, and zero are all examples of integers.

The Latin word "integer" signifies "whole" or "intact."

As a result, fractions and decimals are not included in integers.

All whole numbers and negative numbers are considered integers.

This means that if we combine negative numbers with whole numbers, a collection of integers results.

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.

Here are a few instances of integers: -5, 0, 1, 5, 8, 97, and 3,043. a collection of numbers, denoted by the symbol Z.

According to our question-

x + x + 6 = -(x + 4) + 55

x + x+6 = (-x - 4) + 55

2x + 6 = -x + 51

Collect like terms

2x + x = 51 - 6

3x = 45

x = 15

Second integer = x + 2 = 15 + 2 = 17

Third integer = x + 4 = 15 + 4 = 19

Fourth integer = x + 6 = 15 + 6 = 21

The four consecutive odd integers = 15, 17, 19, 21

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When Jim's model car ownership is compared to Terrence's model car ownership, the ratio is 8:6, Jim possesses 48 model vehicles.

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, according to the definition given by the term in its most basic form.  When two terms are placed on each side of an equal sign, a simple equation is used to show their relationship. The four mathematical operations of addition, subtraction, multiplication, and division may be used singly or in combination in simple equations.

given

You are aware that Jim and Terrence both own four model automobiles in comparison to three owned by Jim.

Let's assume that Jim owns Jim has the following number of model cars, then you can answer the task as follows:

4/3 = x/36

x = (4* 36)/ 3

x = 48

Therefore, Jims owns 48 model cars.

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The employee who receives the largest percentage of their gross pay in employee benefits is Employee D.
What is percentage?
Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, "%", or the abbreviation "pct". For instance, 45% (read as "forty-five percent") is equal to 45/100, or 0.45. Percentage can be used to express part-to-whole relationships, such as "25% of the students in the class". It can also be used to compare two or more values, such as "the temperature rose by 3% over the course of the day". In some cases, percentage can be used to calculate a quantity from a given value, such as finding the percentage increase from one number to another.

This is because they have the highest total job benefits ($34,700) when compared to their gross pay ($33,700). This results in a percentage of 103.3%, which is the highest of the four employee options.

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Answer:

thats by step overr.ic. yttt. .

Answer:

3 minutes

Step-by-step explanation:

30÷1.5=20

1h=60mins

60÷20=3minutes

Answer: No, 3x-2 and 3x^2 are not reciprocals.

Step-by-step explanation: The reciprocal of a number is defined as the multiplicative inverse of that number, which means that when a number is multiplied by its reciprocal, the result is 1. For example, the reciprocal of 2 is 1/2, because 2 * (1/2) = 1.

In contrast, 3x-2 and 3x^2 are not numbers, they are expressions that contain variables. It is not possible to determine their reciprocals without knowing the values of the variables.

For example, if x=1, then the reciprocal of 3x-2 would be (1/3)/(1-2) = -1/3, and the reciprocal of 3x^2 would be (1/3)/(1^2) = 1/3. However, if x=2, then the reciprocal of 3x-2 would be (1/3)/(2-2) = undefined, and the reciprocal of 3x^2 would be (1/3)/(2^2) = 1/12.

So it is not accurate to say that 3x-2 and 3x^2 are reciprocals.

No

The only thing stopping these from being reciprocals is the -2. Say x becomes 3

First we get 3(9)-2.

Next, we'd get 3(3)(2)

Answer:

Don't join the points with lines

Make the numbers on the vertical axis larger

Label the axes

Step-by-step explanation:

Make all the points different colours → I don't think that would be useful. Unless the teacher asked you to in class, it's probably not a good answer.

Put the title on the bottom → Same. Unless the teacher asked you to in class, it's not really useful and probably not a good answer.

Don't join the points with lines → Teachers ask indeed not to do this, so I think it's a good answer. Most of the time they prefer students to use curves (hope it's the good translation).

Make the numbers on the vertical axis larger → Since both axes represent notes, it would be easier to compare with the same scale. If that's what the teacher meant, then I think it's correct.

Label the axes → This one is interesting, because right now we don't what they represent at all.

Hope it helps, good luck for your exercices :)

The slope of the linear equation that passes through the two given points is 1/7.

A general linear equation can be written in the slope-intercept form as:

y = a*x + b

Where the coefficients are:

a: the slope.

b: the y-intercept.

If a line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope is equal to:

a = (y₂ - y₁)/(x₂ - x₁)

In this case, we know that the line passes through (-10, -9) and (-3, -8), then the slope of this linear equation will be:

a = (-8 + 9)/(-3 + 10) = 1/7

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The net of the display consists of one rectangle and two right triangles.  168 ft² is needed to make a display case. Hence option D is the correct option.

What is surface area?

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The surface area of the triangular prism is the display area of the glass.

The surface area of a triangular prism consists of one rectangle and two right triangles.

The length of the rectangle is (10ft + 6 ft + 8ft) = 24ft.

The width of the rectangle is 5 ft.

The area of a rectangle is the product of length and width.

The area of the rectangle is 24ft × 5ft = 120 square ft

The length of the base of the triangle is 8 ft and the height is 6ft

The area of the triangle is 1/2 × base × height = 1/2 × 8 × 6 = 24 square ft

The display area is 120 square ft + 2 ×24 square ft = 120 + 48 = 168 ft².

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The potential instances of sample distribution are options C and E.

Option E. Average male height based on samples of size 30.

Option C. Mean trout lengths based on samples of size 5.

The sampling distribution of the mean is the distribution of the variable x (all feasible sample means of size n) for a variable x and a given sample size n.

The mean is the most typical kind of sample distribution. Plotting the data points and computing the means of each sample group drawn from the population are its main goals.

This idea, which is a form of the probability distribution, is frequently used to gather precise data from a sizable population that is divided into a number of randomly chosen samples. This idea is further divided into three categories: T-Sampling, proportional sampling, and the sampling distribution of the mean.

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The correct questions should be like this:

Which of the following are possible examples of sampling distributions? (Select all that apply.) average SAT score of a sample of high school students

all mean trout lengths in a sampled lake

mean trout lengths based on samples of size 5

heights of college students at a sampled university

average male height based on samples of size 30

The goal of elimination is to remove one of the variables by combining the equations together.

Let's say we have an equation with 3 variables:

a + b + c = 0

The goal of elimination is to remove one of the variables by combining the equations together.

Multiply the first equation by a number, n, such that nb + nc = 0

For example:

Let n = -2

-2b + -2c = 0

Add the two equations:

a + b + c = 0

-2b + -2c = 0

a - b = 0

Solve for b:

a - b = 0

b = a

Therefore, the final equation is:

a + a + c = 0

2a + c = 0

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Therefore because of this, the answer to the speed problem is that a family can travel 31.875 miles in 3/4 of an hour.

Speed is a tempo that is determined by the distance an entity travels in a predetermined period of time. Numerous methods exist for measuring speed, including miles per hour, laps per minute, and meters per second. The measurements of speed, distance, and time are related. The relationship can be expressed in three different ways:

D = RT, R = DT, & T = DR.

Here,

We are given that

Distance drives by a family=4[tex]\frac{1}{4}[/tex] miles

Time = 1/10

We have to find the rate of speed in miles per hour.

The speed formula will be used to get the velocity in miles per hour.

Distance traveled in a given amount of time equals speed.

=> Speed = 17/4 * 10

=> Speed = 42.5

So, using the calculation, we arrive at 42.5 miles per hour.

The miles traveled in 3/4 miles are therefore:

Distance is calculated as speed times time,

therefore 42.5 * 3/4 would equal 31.875 miles in distance.

Because of this, the answer to the speed problem is that a family can travel 31.875 miles in 3/4 of an hour.

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Answer:

x=0

Step-by-step explanation:

The general form of the equation of y-axis is x = 0. hence, the equation of line parallel to the y-axis is given by the equation: x = k.

Answer:

The slope is 0.75.

The equation is y=0.75x-2

Step-by-step explanation:

The total number of child ticket and adult ticket that were sold was: 270 and 810 respectively.

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If two even integers are multiplied, then the product is also even. Hypothesis: Two even integers are multiplied. Hypothesis starts after the word "if". Conclusion starts after the word "then".

The sentence that comes just after the word "if" in a conditional statement is known as the hypothesis. The sentence that comes after the word then in a conditional statement is the conclusion.

If you earn high grades, the portion that follows the "if" is referred to as a hypothesis, and if you get good grades, the part that follows the "then" is referred to as a conclusion.

An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion.

p → q

Read this: if p, then q.

If the hypothesis is correct but the conclusion is untrue, a conditional statement is false. If the statement in the example above read, "If you achieve good marks then you will not get into a good college," it would be untrue.

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If two even integers are multiplied, then the product is also even. Hypothesis: Two even integers are multiplied. Hypothesis starts after the word "if". Conclusion starts after the word "then".

The sentence that comes just after the word "if" in a conditional statement is known as the hypothesis. The sentence that comes after the word then in a conditional statement is the conclusion.

If you earn high grades, the portion that follows the "if" is referred to as a hypothesis, and if you get good grades, the part that follows the "then" is referred to as a conclusion.

An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion.

p → q

Read this: if p, then q.

If the hypothesis is correct but the conclusion is untrue, a conditional statement is false. If the statement in the example above read, "If you achieve good marks then you will not get into a good college," it would be untrue.

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The total cost of an item that sells for $12 is $12.96

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

Selling price = $12

Sales tax = 8%

The total cost of an item that sells for $12 is then calculated as

Total cost = Selling price * (1 + Sales tax)

Substitute the known values in the above equation, so, we have the following representation

Total cost = 12 * (1 + 8%)

Evaluate

Total cost = 12.96

Hence, the total cost is $12.96

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Answer:

1. 15

2. 15

3. 13

4. 11

5. 14

6. 11

7. 18

8. 19

9. 18

10. 14

Step-by-step explanation:

================================================

Explanation:

The x and y are placeholders for numbers.

Think of them as boxes so to speak, and we fill each box with a number.

In this case we will plug in x = 6 and y = 2.

The steps are shown below.

[tex]\frac{3\text{x}+4}{\text{y}}\\\\\frac{3*6+4}{2}\\\\\frac{18+4}{2}\\\\\frac{22}{2}\\\\11\\\\[/tex]

The final answer is choice B

-----------

This means,

[tex]\frac{3\text{x}+4}{\text{y}} = 11 \ \text{when} \ \text{x} = 6 \ \text{and y} = 2 \\\\[/tex]

Put another way

[tex](\text{x},\text{y}) = (6,2) \ \text{ is a solution to } \frac{3\text{x}+4}{\text{y}} = 11[/tex]

In a visual sense, the point (6,2) is on the equation of [tex]\frac{3\text{x}+4}{\text{y}} = 11[/tex]

Answer:

16a^4

Step-by-step explanation:

Answer:

16a^4

Step-by-step explanation:

The expression (2a)^4 can be written in exponential form as 2^4 * a^4. Using the laws of exponents, we can simplify this to:

2^4 = 2 * 2 * 2 * 2 = 16

a^4 = a * a * a * a

So, (2a)^4 = 16a^4

The radius of convergence R = 1/b

The radius of convergence for a power series is given by the formula:

1/R = lim sup |bn|^(1/n)

In this case, the radius of convergence is given by:

1/R = lim sup |bn|^(1/n) = lim sup b^(1/n) = b^(1/n) as b > 0.

So R = 1/b

As for the interval of convergence, it is the set of values of x for which the series converges. The series converges when |x-a| < R, and diverges when |x-a| > R. So the interval of convergence is (a-R, a+R) which is (a-1/b, a+1/b)

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Answer:

Step-by-step explanation:

from the form we know, 10/2=15/3=45/9=5.so we need select the second choice, the number of group 50 dollar is 50/5=10

the anwser is second choice, fill 10 in blank.

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