The average of four real numbers is greater than or equal to at least one of the numbers.

Answers

Answer 1

This statement is always true. The average of four real numbers is calculated by adding the four numbers together and dividing by four. Therefore, the average will always be greater than or equal to the smallest of the four numbers.

True Average Of Four Numbers

The statement "The average of four real numbers is greater than or equal to at least one of the numbers" means that when you add four numbers together and divide by four, the resulting average will always be greater than or equal to one of the original numbers.

This is because the average is a measure of central tendency that is affected by all the numbers and the number that will affect the average the most will be the largest one and since the average is the sum of all the numbers divided by 4 it will be always greater than or equal to the smallest number.

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Related Questions

11/12 divided by 3/5

Answers

It is either 1.21666667 or around that.

can someone help me with this question

Answers

6.875 is the answer

HELP!

can i get an explanation for this, this is where i fail in math?

Answers

The distance between point M and point N is 13 units.

What is the distance formula?

Using their coordinates, an algebraic expression provides the distances between two places (see coordinate system). The distance formulas for points in rectangular coordinates in two- and three-dimensional Euclidean space are based on the Pythagorean theorem.

Here, we have

Given: M is located at (-6,5) and point N is located at (7,5).

If we know that M(x,y) = (-6,5)  and N(x,y) = (7,5), then the distance between point M and point N is:

MN = [tex]\sqrt{(7-(-6))^2+(5-5)^2}[/tex]

MN = 13

Hence,  the distance between point M and point N is 13 units.

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Help work out the value of x.
Give your answer to 3sg

Answers

Answer:

x = 5.132 cm

Step-by-step explanation:

We are given a right triangle and are asked to find a missing side length, x.

To find a missing side length in a right triangle, we often use the Pythagoras theorem.

However, we need at least two known side lengths to use the Pythagoras theorem.

So, what do we do?

We use trigonometric functions.

⭐What are trigonometric functions?

ratios of two unknown side lengths with respect to an angle that ISN'T the 90 degrees angle

The trigonometric functions

sin(θ) = opposite/hypotenusecos(θ) = adjacent/hypotenusetan(θ) = opposite/adjacentθ = an angle

To find out which trigonometric function we use, we have to look at the types of side lengths we are given (opposite, hypotenuse, or adjacent).

We are given a side length with a measure of 6.8 cm, which is the hypotenuse of the triangle.

We are also given a side length with a measure of x cm (we want to solve for x), which is adjacent to the 41 degrees.

Thus, we will use cos(θ).

First, substitute the side lengths and angle measures we are given/want to solve for.

cos(θ) = adjacent/hypotenuse

cos(41) = x/6.8

Next, multiply both sides of the equation by 6.8 to isolate x, as we want to solve for x.

6.8cos(41) = x

Finally, compute using a scientific calculator.

6.8cos(41) = 5.132025146 cm

Make sure to round to 3 significant figures.

∴ 6.8cos(41) = 5.132 cm

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Which represents the solution set to the inequality ? -1.5(4x+1) less than or equal sign to 4.5-2.5(x+1)
i need to know the way you solve it the properties you apply, distribution, combination, etc.
also less than or equal to is a sign i just can't show the sign i have to type it. < this sign with the bar on the bottom.
need help asap.

Answers

The solution set to the inequality is x >= -5/6.

What is inequality?

Inequality is a relationship between two expressions or values that are not equal to each other. It is used most often to compare two numbers on the number line by their size.

To solve this inequality, we can start by expanding both sides of the inequality:

-1.5(4x + 1) <= 4.5 - 2.5(x + 1)

-6x - 1.5 <= 4.5 - 2.5x - 2.5

-6x - 1.5 <= 2 - 2.5x

Next, we'll isolate the x terms on one side of the inequality and the constant terms on the other side:

-6x <= 3.5 + 1.5x

-6x <= 5

-6x/6 <= 5/6

And finally, we'll divide both sides of the inequality by -6 to find the solution set:

x >= -5/6

Therefore, The solution set to the inequality is x >= -5/6.

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Write the whole number 5 as an equivalent fraction with a denominator of 2. (HINT: think about improper fractions)

Answers

The whole number 5 can be written as an equivalent fraction with a denominator of 2 is 10/2

How to write the whole number 5 as an equivalent fraction with a denominator of 2?

An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). For example, 7/3 is an improper fraction because 7 is greater than 3.

The whole number 5 can be written as an equivalent fraction with a denominator of 2 by looking for a number which when divided by 2 will give 5. That is:

10/2 = 5

Notice that 10/2 is an improper fraction

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The first term in a geometric series is 555 and the common ratio is 222. Find the sum of the first 101010 terms in the series.

Answers

The first 10 terms sum in the geometric series is 5115.

The first term of geometric series = 5

Common ratio = 2

First, let us discuss how to calculate the sum of n terms of GP. Assume the sum of the first n terms of a GP with first term a and common ratio r. Then the first 'n' terms of GP are of form a, ar, ar², ... ar^(n-1). Let S be the sum of the GP of n terms. Then:

Sₙ = a + ar + ar² + ... + ar^(n-1) ... (1)

Multiply both sides by r:

rSₙ = ar + ar² + ... + arⁿ ... (2)

Subtracting equation (1) from equation (2):

rSₙ - Sₙ = (ar + ar² + ... + arⁿ) - [a + ar + ar² + ... + ar^(n-1)]

Sₙ (r - 1) = arⁿ - a

Sₙ (r - 1) = a(rⁿ - 1)

Sₙ = a(rⁿ - 1)/(r - 1)

Note that, here, r ≠ 1.

Sₙ = -a(1 - rⁿ)/(-(1 - r)) = a(1 - rⁿ)/(1 - r).

Sₙ = a[1-rⁿ]/[1-r]

S₁₀ = 5[1-2¹⁰]/[1-2]

S₁₀ = 5[1023]

S₁₀ = 5,115

--The given question is incorrect, the correct question is

"The first term in a geometric series is 5 and the common ratio is 2. Find the sum of the first 10 terms in the series."--

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solve this simultaneous equation
3x + 4y = 7
4x + 4y = 9

Answers

Step-by-step explanation:

All the explanation in the photo

An item is regularly priced at $45 . Alonzo bought it at a discount of 55% off the regular price.

Answers

The total would be $24.75 because 45 dollars x 55% is 24.75

Answer: $20.25

Step-by-step explanation:

1. First you need to find the discount

  -multiply .55 (55%) by 45 to get 24.75

2. Then subtract the discount from the actual price

  - 45-24.75=20.25.

                             So then you get the answer, $20.25

How do you find the domain and range of a log graph?

Answers

To find the domain and range of a log graph, identify the x- and y-intercepts, determine the asymptotes, if any, and identify the intervals between the asymptotes and intercepts. The domain and range of the graph are the union of all of these intervals.

To find the domain and range of a log graph, identify the x- and y-intercepts, determine the asymptotes, if any, and identify the intervals between the asymptotes and intercepts. The domain and range of the graph are the union of all of these intervals.The domain of a log graph is the set of all possible x-values and the range is the set of all possible y-values. To find the domain and range of a log graph, first identify the x- and y-intercepts. Then, determine the asymptotes of the graph, if any. Finally, determine the intervals of the graph, which are the areas of the graph between the asymptotes and the intercepts. The domain and range of the graph are then the union of all of these intervals.

To find the domain and range of a log graph, identify the x- and y-intercepts, determine the asymptotes, if any, and identify the intervals between the asymptotes and intercepts. The domain and range of the graph are the union of all of these intervals.

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Let g be a reflection in the x-axis and a vertical stretch by a factor of 4 followed by a
translation 7 units down and 1 unit right of the graph of f(x) = [x].

Answers

Therefore , the solution of the given problem of function comes out to be g(x) = -3|x-1| - 4.

What does the term function refer to?

Mathematics is a science that investigates numbers, their variations, mathematics and the local tissues, shapes, and the both their actual and potential placements. Function describes the connection between a collection of inputs, each of which has an associated output. A function is an association of inputs that results in a single, distinctive output for each input. Each function is given a city or municipality or a scope, often known as a realm. Functions are typically denoted by the letter f. (x). An x can be found in the input. The four primary categories of procedures—on features, each process, a range few additional attributes, within procedures, and on functions—are already present.

Here,

Given :

g(x) = -f(x) to reflect it over the x-axis.

So , In order to find the g(x) of the given f(x) is

=> -f(x) = -3|x-1|-4,

so

=> g(x) = -3|x-1| - 4

Therefore , the solution of the given problem of function comes out to be

g(x) = -3|x-1| - 4.

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The American's with Disabilities Act (ADA) is a body of law that created a number of standards to make American buildings accessible to those with impaired movement. Among these standards is a standard that defines the maximum slope a wheelchair-accessible ramp may built to. According to the ADA, no wheelchair ramp can rise faster than one unit vertically for every twelve horizontal units.
What is the shortest length of ramp (as measured from the start of the ramp, at the base, to the end of the ramp, at the top) that you can build to reach a ledge .83 meters from the ground?

Answers

Shortest length of ramp that can be built to reach a ledge .83 meters from the ground is 8.333 meters, according to the ADA standards.

What is Shortest length?

Shortest length is the shortest distance measured from one end to the other.

According to the ADA standard, the maximum slope for a wheelchair-accessible ramp is one unit vertically for every twelve horizontal units. To find the length of the ramp needed to reach a height of .83 meters, we can use the formula:

rise / slope = run

Where:

rise = the vertical distance to be covered (in this case, .83 meters)

slope = the maximum allowed slope (1:12, or 1/12)

So we can plug in the values we know:

.83 meters / (1/12) = run

To find the length of the ramp, we need to multiply the run by the slope:

run * slope = ramp length

Therefore, the length of the ramp is:

run * (1/12) = (run/12) meters = (10/12) = 8.333 meters.

So, the shortest length of ramp that can be built to reach a ledge .83 meters from the ground is 8.333 meters, according to the ADA standards.

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Need help Ivan starts with $150 and saves $5 each week. Uma has $45 and saves $20 each week. At what week will they both have the same amount of money? How much money will they each have? Write your answer as an ordered pair.

Answers

The two equations are 150 + 5w and 45 + 20w.

In 7 weeks they will have the same amount of $225 and in terms of ordered pairs, it is (7, 225).

What are the three types of solutions for a system of linear equations?

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

Let, the number of weeks be 'w'.

Therefore, From the given information the two equations can be formed as,

150 + 5w and 45 + 20w.

Now, The number of weeks required when they'll have the same amount of money can be obtained if we equate these two equations.

150 + 5w = 45 + 20w.

5w - 20w = 45 - 150.

- 15w = - 105.

w = 105/15.

w = 7 weeks.

They will have 150 + 5×15 = 150 + 75 = 225 each in terms of ordered pairs (7, 225).

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-v + w = 7
v + w = 1​

Answers

Answer:

V=-3

W=4

Step-by-step explanation:

-v + w = 7

v + w = 1

[tex]\space \space [/tex]2w=8

[tex]\space \space [/tex]w=8/2

[tex]\space \space [/tex]w=4

[tex]\space \space [/tex]

-v+w=7

-v+4=7

-v=7-4

-v=3

(-1)-v=(-1)3

V=-3

[tex]\space [/tex]

.....

V=-3
W=4 the reason is -3 multiplied by - will become +3 and so -v+w =7
And same -3+4=1
Hence proven

What is the value of 0 solution?

Answers

The place value of zero in any numeral is always zero. Zero May have any place in a number, but its value will remain to be zero. In numbers having zeros such as 105, 350, 42017, and 90218, the place value of 0 in each number is 0.

(0)zero is a number, and the numerical digit is utilised to represent the number in any numerals. It meets a major function in mathematics such as it plays the role of the additive identity of real numbers, integers, and many other algebraic systems. As a number, 0 is used as a placeholder in place value systems.

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28% of how many peaches is 7 peaches.

Answers

The total number of peaches is given by the equation A = 25 peaches

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of peaches be represented as A

Now , the equation will be

The percentage of peaches that equals 7 peaches = 28 %

Substituting the values in the equation , we get

28 % of A = 7   be equation (1)

On simplifying the equation , we get

( 28 / 100 ) x A = 7

Multiply by 100 on both sides of the equation , we get

28A = 700

Divide by 28 on both sides of the equation , we get

A = 700/28

A = 25 peaches

Therefore , the value of A is 25 peaches

Hence , the number of peaches is 25 peaches

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emma is moving to a large city and is investigating typical monthly rental prices of available one-bedroom apartments. she obtained a random sample of rental prices for 50 one-bedroom apartments taken from a web site where people voluntarily list available apartments. (a) describe the population for which it is appropriate for emma to generalize the results from her sample.

Answers

The population for which it is appropriate for Emma to generalize the results from her sample is the population of one-bedroom apartment rental prices in the large city where Emma is moving.

This population includes all the prices of one-bedroom apartments that are available for rent in that city, not just the ones that are listed on the website where Emma obtained her sample. Emma is most likely to be utilizing the information from her sample to make inferences about the population as a whole, such as the typical monthly rental prices, the range of prices, and the distribution of prices.

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Write the equation in slope-intercept form of the line that is perpendicular to the graph of each equation and passes through the given point. y = 2x - 3 (-5, 3)

Answers

Therefore , the solution of the given problem of slope intercept comes out to be  y = 2x + 10

What does slope intercept mean?

In mathematics, the inflection point is where the line's slope intersects the y-axis. a point on a line or curve where the y-axis crosses. The equations for the long line is given as Y = mx+c, wherein m denotes the inclination and c the y-intercept. In the intercept form of the equation, the line's slope (m) and y-intercept (b) are highlighted. The slope and y-intercept of an equation with the intercepting form (y=mx+b) are m and b, respectively. There are several equations that can be rewritten to appear to be gradient intercepts.

Here,

To obtain the line orthogonal to y=2x3,

determine the negative inverse of slope of the original version and

employ the point-slope formula: y-y1=m(x-x1).

So,

Point(-5,3)

Thus, Putting value in the given formula:

=> y -3 = 2(x-(-5)) -3

=> y- 3 = 2x +10 -3

=> y = 2x + 10

Therefore , the solution of the given problem of slope intercept comes out to be  y = 2x + 10

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A triangle has two sides of length 7 and 3. What is the largest possible whole-number length for the third side?

Answers

Answer: The triangle inequality states that each side of a triangle must be shorter than the sum of 2 other sides.

Step-by-step explanation: Please make me Brainliest.

16. If theta is an angle in standard position and its terminal
side passes through the point (3,-4), find the exact value of
tanin simplest radical form.

Answers

The exact value of tangent of theta in simplest radical form is -4/3

How to find the tangent of theta?

The coordinates (3, -4) represent a point on the Cartesian plane, and if the terminal side of the angle θ passes through this point, then we can use the coordinates to find the exact value of tangent of theta.

To find the tangent of theta, we can use the formula:

tangent of theta = y/x = -4/3

The tangent of theta is -4/3, but it is not in the simplest radical form.

To simplify it, we can divide both numerator and denominator by their greatest common factor which is 1, so the simplified form will be -4/3

Therefore, the exact value of tangent of theta in simplest radical form is -4/3

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What is the place value of the 2 in the number 234.58937?

Answers

Answer:

Hundreds place!

Step-by-step explanation:

Hope it helps! =D

Please help meeeeeeeeeee !!!!!!!!!!!!!!!!

Answers

There are 7 ounces of applesauce in each container

What is an equation?

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

Let x represent the quantity of Newton applesauce

Descartes makes 72.5 ounces of applesauce, which is 2.5 times of Newtons, hence:

2.5x = 72.5

x = 29 ounce

Newton eats 8 ounces, hence:

Remaining = 29 - 8 = 21 ounces

The remaining is placed into 3 containers. If y represent the amount per container:

3y = 21

y = 7 ounces

There are 7 ounces in each container

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when was robbie knievel diagnosed with pancreatic cancer ?

Answers

Robbie Knievel, a daredevil stuntman, passed away on Friday morning, 13 january 2023 at the age of 60.

He was battling pancreatic cancer, which, according to the American Cancer Society, accounts for around 3% of all cancers but about 7% of all cancer fatalities in the U.S. He was in a hospice in Reno, Nevada. Because the pancreas is hidden deep inside your abdomen, where it cannot be seen in selfies, the diagnosis of pancreatic cancer is frequently delayed. Therefore, the tragic news of Knievel's departure presents a chance to spread greater awareness of this terrible sickness, which will likely claim the lives of over 50,000 individuals once more in 2023.

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What is the equation of the following line? Be sure to scroll down first to see
all answer options.
-5
(-2,-3)
(0,0) 5

A y=2x
B y=3x
C y=-2/3x
D y=2/3x
E y=3/2x
F y=-3/2x

Answers

Answer:

Step-by-step explanation:

24

i need help with this rnnnnn :(

Answers

1. An equation that can be used to calculate the length and width of the garden,  l = 2w + 5 and 2l + 2w = 61

2. Length = 22

    Width =  51/6

What is the perimeter?

Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.

Perimeter = Sum of length of the all the sides

Given that,

The perimeter of the garden = 61 feet

The length is 5 more than the twice of width

Suppose,

length = l

width  = w

According to given condition,

l = 2w + 5

Perimeter = l + w + l + w

                 =  61

2l + 2w = 61       _______(i)

By putting value of l in the equation (i)

⇒ 2( 2w + 5 ) + 2w = 61

⇒ 4w + 10 + 2w = 61

⇒  6w + 10 = 61

⇒  w = 51/6

By putting value w in the equation (i)

2l + 2×51/6 = 61  

2l   = 61 - 17

l = 22

Hence, the length and width of the garden are respectively, 22 & 51/6

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What is the HCF of 12 and 18 and 42?

Answers

The highest common factor (HCF) of 12, 18 and 42 is 6, which is the greatest number that can divide each of these numbers evenly with no remainder.

1. List out the prime factors of 12, 18 and 42:

12 = 2 x 2 x 3

18 = 2 x 3 x 3

42 = 2 x 3 x 7

2. Find the highest common factors for each pair of numbers:

12 and 18 = 2 x 3

12 and 42 = 2 x 3

18 and 42 = 2 x 3

3. Find the common factor that appears in all three numbers:

2 x 3 = 6

4. Therefore, the HCF of 12, 18 and 42 is 6.

The HCF of 12, 18 and 42 is 6. This is because 6 is the highest number that can evenly divide each of these numbers without any remainder. To find the HCF, the prime factors for each number must be listed out, and the highest common factor for each pair of numbers must be identified. The common factor that appears in all three numbers is then the HCF. In this case, the common factor is 2 x 3, which is equal to 6. Therefore, the HCF of 12, 18 and 42 is 6.

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What is the value of log 7 49?

Answers

After solving, the value of [tex]log_{7}[/tex](49) is 2.

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.

The value of [tex]log_{7}[/tex](49) is 2.

[tex]log_{7}[/tex](49)=x

To find the value of the expression the formula is:

1) log([tex]a^n[/tex])=nlog(a)

2) [tex]log_{a}[/tex](a)=1

Step1:Rewrite in exponential form first.

[tex]log_{7}[/tex](49)=[tex]log_{7}(7^2)[/tex]Use the log rule log [tex]a^x[/tex] = x log a

[tex]log_{7}[/tex](49)=2[tex]log_{7}[/tex](7)

Using [tex]log_{a}[/tex](a) = 1

[tex]log_{7}[/tex](49)=2*1

[tex]log_{7}[/tex](49)=2

The value of [tex]log_{7}[/tex](49) is 2.

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[tex]5 \alpha { }^{0} + (5 \alpha ) {}^{0} [/tex]

what is the answer to the equation ?​

Answers

The value of [tex]\alpha ^0 = (5\alpha ^0) =1[/tex], as anything raised to the power of 0 is equal to 1. Hence, the answer to the equation [tex]5\alpha ^0 + (5\alpha ^0)[/tex] is 6.

What are exponents and its laws?

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Law of Multiplication: Exponents should be added while keeping the base constant when multiplying like bases.

Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.

Division Rule: When dividing like bases, maintain the base constant and deduct the exponent of the denominator from the exponent of the numerator.

The value of [tex]\alpha ^0 = (5\alpha ^0) =1[/tex], as anything raised to the power of 0 is equal to 1.

Substituting the value of [tex]\alpha ^0 =(5\alpha ^0) = 1[/tex] in the given equation we have:

5(1) + 1 = 6

Hence, the answer to the equation [tex]5\alpha ^0 + (5\alpha ^0)[/tex] is 6.

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What is the value or values which when substituted for a variable in an equation make the equation true?

Answers

An equation's solution is a value for a variable that, when added to the equation, produces a true statement.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7. A mathematical sentence with two equal sides and an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

A value for a variable that, when added to the equation, results in a true statement is the solution of an equation.

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Kelvin and Lewie each design surveys in order to determine the average number of people who buy food at the mall. Kelvin surveys every other person leaving the food area. Lewie surveys every fifth person leaving the mall’s main entrance.

Which set of survey results is most likely to show biased results for people who buy food at the mall?
Kelvin’s because he surveyed people leaving an area where food is sold
Kelvin’s because he surveyed every other person instead of every fifth person
Lewie’s because he surveyed every fifth person instead of every other person
Lewie’s because he surveyed people who may or may not have bought food

Answers

We see here that the set of survey results is most likely to show biased results for people who buy food at the mall is: D. Lewie's because he surveyed people who may or may not have bought food.

What is surveying?

Surveying is the process of collecting data or information from a sample of individuals or a population. Surveys can be conducted in various ways, such as through in-person interviews, telephone calls, online forms, or mail-in questionnaires.

The goal of surveying is to gather information about the characteristics, attitudes, opinions, or behaviors of the people being surveyed in order to make inferences about the larger population from which the sample was drawn. Surveying is widely used in research, marketing, and various other fields for data collection.

Surveying people at the mall's main entrance does not guarantee that they have bought food, and therefore the results may not accurately represent the average number of people who buy food at the mall.

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Answer:

A. Kelvin’s because he surveyed people leaving an area where food is sold

Step-by-step explanation:

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