the average area of a bedroom in a home is 219 square feet with a standard deviation of 32.5 square feet. what is the largest a bedroom can be and be among the smallest 20% of bedrooms in a home?

Tn= ¼+(n-1) ¼

Tn= ¼+ ¼n-¼

Tn=¼n

Above is an example of arithmetic sequence.

In short, an arithmetic sequence is a sequence of numbers that has a fixed pattern. The pattern in question can be formed based on subtraction or addition operations. Thus, each order of syllables will have a difference of the same magnitude.

Later, this difference will be called the difference and is generally symbolized by the letter b. Thus, an example of an arithmetic sequence can be taken as follows:

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Serena needs 12 grams of the 40% solution and 8 grams of the 70% solution.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Both linear equations with one variable and those with two variables exist.

Given Serena is making an experiment. for that, she needs 20 grams of a 52% solution of salt, one with 40% and the other with 70% of salt in them,

let her need x grams of the 40% solution and y grams of the 70% solution.

so x + y = 20.......(1)

and 0.40x + 0.40y = 20(0.52)

0.40x + 0.70y = 10.4

from equation 1 we get x = 20 - y

substitute in the equation 0.40x + 0.70y = 10.4

0.40(20 - y) + 0.70y = 10.4

8 - 0.40y + 0.70y = 10.4

0.30y = 10.4 - 8

y = 2.4/0.30

y= 8 grams

and x = 20 - 8 = 12 grams

Hence she use 12 grams of 40% solution and 8 grams of 70% solution.

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Answer:

Midpoint AB
[tex](3, 3)\\[/tex]

Midpoint BC
[tex]\left(8, \; \dfrac{7}{2}\right)[/tex]

Midpoint AC
[tex]\left(6, \; \dfrac{3}{2}\right)[/tex]

Step-by-step explanation:

The midpoint (x, y) between any two points(x1, y1) and (x2, y2)  can be calculated using

x = (x1 + x2)/2
y = (y1 + y2)/2

Given
A(1, 1)
B(5, 5)
C(11, 2)

Midpoint of AB
[tex]\left(\dfrac{1+5}{2}, \;\dfrac{1+5}{2}\right) = \left(\dfrac{6}{2}, \;\dfrac{6}{2}\right) = (3, 3)[/tex]

Midpoint of BC :
[tex]\left(\dfrac{5+11}{2}, \;\dfrac{5+2}{2}\right) = \left(\dfrac{16}{2}, \;\dfrac{7}{2}\right) = \left(8, \; \dfrac{7}{2}\right)[/tex]

Midpoint of AC:
[tex]\left(\dfrac{1+11}{2}, \;\dfrac{1+2}{2}\right) = \left(\dfrac{12}{2}, \;\dfrac{3}{2}\right) = \left(6, \; \dfrac{3}{2}\right)[/tex]

The number of revolutions made by larger pulley is,  1032

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

A pulley has a diameter of 8 inches,

And it is belted to a pulley that has a diameter of 12 inches,

the speeds of the pulleys vary inversely to their diameters,

The smaller pulley running at speed of 1,548 revolutions per minute,

The larger pulley running at speed = ?

V α 1/d

Now, it can be written as,

V₁ α  1/d₁

V₂ α 1/d₂

1548 α  1/8

V₂ α 1/12

For removing proportionality sign,

It required to add one constant k,

1548 =  k(1/8)    _____(i)

V₂  = k (1/12)     _____(ii)

Now, by dividing both the equations,

V₂/1548   = k x (1/12)/ k x(1/8)  

V₂/1548 = 8/12

V₂ = 8/12 x 1548

V₂ = 1032

Hence, the RPM of larger pulley is  1032

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Ratios show that Julie earns 50% more than Simon, and John earns 12.5% less than Julie.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Lets divide each salary by 1,000 to express the salaries in thousands of rands:

Simon earns 4,000 / 1,000 = 4,000

Julie earns 6,000 / 1,000 = 6,000

John earns 3,500 / 1,000 = 3,500

Now, we can compare the salaries by expressing them as ratios:

Simon: Julie = 4,000 : 6,000 = 2 : 3

Julie: John = 6,000 : 3,500 = 6 : 3.5

Simon: John = 4,000 : 3,500 = 4 : 3.5

Hence, ratios show that Julie earns 50% more than Simon, and John earns 12.5% less than Julie.

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The intersection of the two graphs in ordered pair is (-5, 1)

An ordered pair is a pair of values that represent a point in a coordinate system.

An ordered pair consists of an x-coordinate and a y-coordinate, and represents a point in the x-y plane.

In an ordered pair, the order of the values is important and represents the specific location of the point in the coordinate system.

The intersection of the two lines representing the equation y = 2/5 x + 3 and y = -x - 4 is as shown on the graph to be (-5, 1)

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Measure of each missing angles are,

⇒ ∠EFC = 51°

⇒ ∠DFG = 51°

⇒ ∠HEF = 36°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.  

We have to given that;

⇒ m ∠CFG = 129°

⇒ m ∠HFD = 93°

Now, By figure EFG make a linear line.

So, We get;

⇒ ∠EFC + ∠CFG = 180°

⇒ ∠EFC + 129° = 180°

⇒ ∠EFC = 180° - 129°

⇒ ∠EFC = 51°

In the figure, Measure of ∠EFC and ∠DFG are vertically opposite angle.

Hence, Both are equal.

⇒ ∠DFG = ∠EFC = 51°

Here, EFG make a linear line.

Hence, We get;

⇒ ∠HEF + ∠HFD + ∠DFG = 180°

Substitute all the values, we get;

⇒ ∠HEF + 93° + 51° = 180°

⇒ ∠HEF + 144° = 180°

⇒ ∠HEF = 180° - 144°

⇒ ∠HEF = 36°

Thus, Measure of each missing angles are,

⇒ ∠EFC = 51°

⇒ ∠DFG = 51°

⇒ ∠HEF = 36°

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Therefore , the solution of the given problem of percentage comes out to be the total amount of water is 100 ounces.

Any value that may be expressed as a fraction of 100 is referred to as a percentage in mathematics. The acronyms "pct.," "pct," or "pc" are also occasionally used. However, the "%" symbol is usually used to signify it. The proportional amount has no dimensions and is flat. Percentages can be viewed as fractions because their numerator is 100. To indicate that a number is a percentage, the percent symbol (%) must be used after the number.

Here,

Every day, Leilani consumes a total of 70 ounces of water. This implies that she consumes a total of 70 ounces of liquid every day before and after the ride.

She downs 14 ounces of water before her morning ride to be hydrated.

We would divide the quantity she drinks prior to the bike by the entire amount of water she consumes each day, then multiply the result by 100 to get the percentage of her daily water intake that she has before the ride. It develops

=> 14/70 × 100 = 20%\s=> 20

Thus, 20 equals 100 ounces of water in total.

As a result, the answer to the given 20-ounce problem is that there are 100 ounces of water in all.

Therefore , the solution of the given problem of percentage comes out to be the total amount of water is 100 ounces.

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The solution of the linear expression is (x, y) = ( -3, -1/2)

option A.

The values of x and y in the given linear expression is calculated by applying the following formula.

y = ¹/₂ˣ  + 1

y = ³/₂ˣ + 4

solve the two equations together to determine the value of x ;

³/₂ˣ + 4 =  ¹/₂ˣ  + 1

³/₂ˣ -   ¹/₂ˣ   = 1 - 4

x = - 3

Now, solve for y as show below;

y = ¹/₂ˣ  +  1

y =   ¹/₂(-3)  + 1

y = -3/2 + 1

y = -1/2

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Answer:

A is the answer

Step-by-step explanation:

The unit rate of the typed words is 78 words per minute

An equation is an expression that shows the relationship between numbers and variables using mathematical expressions. Equations are classified based on degree as linear, quadratic, cubic

Unit rate is the ratio of two different quantities. The denominator for a unit rate is always equal to one.

Gordon types 2,886 words in 37 minutes. The unit rate is the ratio of the total words typed to total time taken. Hence:

Unit rate = 2,886 words / 37 minutes = 78 words per minute

The unit rate is 78 words per minute

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Answer:

The individual's body fat percentage of 18.8% indicates that 28.7 pounds of her weight is made up of fat.

Step-by-step explanation:

The information I provided is based on the formula for calculating body fat percentage, which is body fat weight divided by total body weight multiplied by 100.

Answer:

Step-by-step explanation:

x weight         131

----           = -------------

18.8%             100%

Cross multiply and get 24.6 pounds

Answer:

he coordinate of the fourth vertex will be (2,5).

Step-by-step explanation:

Given,The coordinates of the vertices of the rectangle is (-6,3), (-6,5), (2,3).

We have to find the coordinate of the fourth vertex.How to get the fourth vertex of rectangle?

On plotting the given coordinates on the graph paper, we find that the coordinates (−6, 3) and (−6, 5) lying on the second quadrantand the coordinate (2,3) lying on the first quadrant,so other coordinate will also be lying on the first quadrant.

See the attached graph.

So from the graph the coordinate of fourth vertex will be (2,5).

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(I got this from a Radom person who hade the same question sorry)

The gross monthly pay for the given service is $1850

Monthly pay means the wages paid by an employer to an employee for the whole or part of the month during which the employee is employed by the employer.

Given that, the annual pay of some service is $22200, we need to calculate the monthly pay of same,

Therefore,

To find, monthly pay, we will divide annual pay by 12, because there are 12 months in a year,

Monthly pay = annual pay / 12

= 22200 / 12

= 1850

Hence, the gross monthly pay is $1850.

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The Values of x, y, and z will be  40, 43, and 97 for the given quadrilateral.

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.

Given a parallelogram ABCD that has ∠A = y + ?, ∠B  = z, ∠C  =43 + x. and  ∠D = 97

In parallelogram opposite sides are Equal

thus,

z = 97

So, ∠B = 97

Since AD and BC are parallel

y will be the inner vertex angle of these lines

Thus,

y = 43

And Since, Sum of all angles in a triangle is 180 degrees.

For triangle ADC

97 + x + y = 180

Substitute the value of y

97 + 43 = 180

x = 40

therefore, the Values of x, y, and z will be  40, 43, and 97 for the given quadrilateral.

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Answer:

Below

Step-by-step explanation:

Out of 20 times 3 were spades      soooo   3/20 = .15

Answer:

−6+4y−10m

Step-by-step explanation:

To find the value of x for which the function f(x) = -4x^2 + 8x + 10 reaches its global maximum, we need to find its critical points.

First, we find the derivative of the function:

f'(x) = -8x + 8

Next, we set f'(x) = 0 and solve for x:

-8x + 8 = 0

-8x = -8

x = 1

This is the critical point. To determine whether this critical point corresponds to a maximum or a minimum, we look at the second derivative of the function:

f''(x) = -8

Since f''(x) is negative, this critical point corresponds to a maximum.

Therefore, the value of x for which the function f(x) = -4x^2 + 8x + 10 reaches its global maximum is x = 1.

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Answer:

the length of the median of the triangle is 6√(5) cm.

Step-by-step explanation:We can start by using the Pythagorean theorem to find the length of the base of the triangle. Since the altitude of the triangle is 12 cm, the length of the median that divides the triangle into two smaller triangles with perimeter 20 cm can be found using the Pythagorean theorem as follows:

Let's call the length of the base "b". Then, the length of the median "m" is equal to the square root of the sum of the squares of half the base and the height:

m = √((b/2)^2 + 12^2)

We know the perimeter of the triangle is 24 cm, so:

b + 2m = 24

We can substitute b = 24 - 2m into the equation for m:

m = √(((24 - 2m)/2)^2 + 12^2)

Expanding and simplifying the equation gives:

m = √(6^2 + 12^2) = √(36 + 144) = √(180) = 6√(5) cm

So the length of the median of the triangle is 6√(5) cm.

The type of graph which will be made is Histogram.

A histogram is a particular kind of graph that is frequently used to examine the core, shape, and distribution of a set of data. The purpose of a histogram is to aid in summarising and providing a visual understanding of continuous data, as well as to assist users in data comparison and working with huge amounts of information.

In this given case, the user is interested in researching property tax rates in the US, so they choose 25 residences at random and research each one's property tax rate. They may visualise how the tax rates are dispersed and gain an understanding of the data's centre, shape, and spread by producing a histogram of the data. The property tax rates in the United States can then be inferred from this information.

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Answer:

$8

Step-by-step explanation:

36-12= 24 money left for candy

24/3=8 price of each candy

The circumference of teh circle is 31.4 meter

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

A circle has a diameter of 10m

This means that

d =10

The circumference is calculated as

C = pi d

Where

pi = 3.14

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

C = 3.14 * 10

Evaluate

C - 31.4

Hence, the circimference is 31.4 units

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The rational function graph is of the function f(x)=1/(x-6) since it does not touch the point (6,0).

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. "A function is a rule that assigns one output to each input. They arise when each x-value corresponds to exactly one y-value." You've undoubtedly also heard of the vertical line test.

Here,

The graph of rational function is of function f(x)=1/(x-6) as it does not touch the point (6,0).

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Answer:

Step-by-step explanation:

no

Answer:

228 hydrogen atoms

Step-by-step explanation:

If there are 114 water molecules,

Total number of atoms would be:

3 * 114 = 342 (1 oxygen and 2 hydrogen atoms in 1 water molecule)

Out of these, 2/3rd would be hydrogen atoms, so:

There would be 228 hydrogen atoms

Brainliest? :D have great day

The true statements about the mean are second, third, and fourth.

It is algebraically described (that is, there is an equation we can use to calculate its value).

It is commonly directed as the arithmetic average.

It can be utilised for data that are calculated on a nominal scale. The mean is appropriate for data that are measured on an interval or ratio scale but not for data that are measured on a nominal scale. Nominal scale data are categorical and do not have a meaningful order or distance between categories.

The following statement about the mean is sometimes true, sometimes false:

It always resembles an actual score in the data. This depends on the specific data set and the value of the mean. If the mean is a value that appears in the data, then it corresponds to an actual score in the data. If the mean is not a value that appears in the data, then it does not correspond to an actual score in the data.

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To build a garden of 4 feet Deja needs 12 small bricks.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The first garden is 4 feet long the bricks Deja is using are each 1/3 of a foot long.

Therefore, the number of bricks required is,

= 4/(1/3).

= 4×(3/1).

= 12 bricks.

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