the boxplot shows the fuel economy ratings for 67 subcompact cars with the same model year. some summary statistics are also provided. the extreme outlier is an electric car whose electricity usage is equivalent to 112 miles per gallon. if that electric car is removed from the data​ set, how will the standard deviation be​ affected? the​ iqr?

The net of the triangular prism is a combination of the two triangles and three rectangles.

A prism is a solid figure having two bases that are the same in size and shape, flat faces, and a continuous cross-section. The two bases of a prism, which can be triangles, rectangles, or any other polygon, determine the name of the prism in question.

Prisms having triangle bases, for instance, are referred to as triangular prisms, whereas those with square bases are referred to as square prisms, and so on. Three rectangle lateral sides and two triangular bases make up a triangular prism.

A triangular prism is a three-dimensional (3D) object having two identical triangle-shaped faces joined by three rectangular faces. The bases are the triangle faces, while the lateral faces are the rectangular faces. The top and bottom (faces) of the prism are other names for the bases.

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The extra income earned in monthly compounding is $142.04.

Compounding is defined as calculating interest on both the amount borrowed plus previous interest.

Given is that $10,000 is deposited into a savings account which is compounded monthly followed by compounded annually.

Annual compounding for 30 years -

Total money after annual compounding for 30 years -

T{A} = 10000 + (10000 x 0.023/1)^(30 x 1)

T{A} = $19,781.95

Monthly compounding for 30 years -

Total money after annual compounding for 30 years -

T{A} = 10000 + (10000 x 0.023/1)^(30 x 1)

T{A} = $19,923.99

Extra interest earned -

E = 19,923.99 - 19,781.95 = $142.04

Therefore, the extra income earned in monthly compounding is $142.04.

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If the temperature decreased by 15°F, Pilar would expect to sell 15 fewer cups of hot chocolate.

What is an equation?

An equation is a statement that shows the equality of two expressions by using an equal sign (=). It expresses a mathematical relationship between two or more variables or quantities.

Regarding the second question, to find out how many more cups of hot chocolate Pilar would expect to sell if the temperature decreased by 15°F, we can plug in t = 15 into the equation c = -t + 120 and calculate the difference between the original value of c and the new value.

c(Original) = -15 + 120 = 105

c(New) = -(15+15) + 120 = 90

The difference is:

c(New) - c(Original) = 90 - 105 = -15

Therefore, if the temperature decreased by 15°F, Pilar would expect to sell 15 fewer cups of hot chocolate.

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Answer:

x = 24
y - 16

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf x = 16, \ y = 24}[/tex]

Step-by-step explanation:

Let the smaller number be x and larger number be y.

x + y = 40 ----------------(1)

x = y - 8 ------------------(2)

Put Eq. (2) in (1)

y - 8 + y = 40

2y - 8 = 40

2y = 40 + 8

2y = 48

y = 48/2

Put y = 24 in Eq. (2)

x = 24 - 8

[tex]\rule[225]{225}{2}[/tex]

Answer:

yes

Step-by-step explanation:

Answer: Right/complementary angles

Step-by-step explanation:

Two angles that add up to 90 degrees are called complementary angles.

Complementary angles are a pair of angles that, when added together, equal a right angle, which measures 90 degrees.

In other words, the sum of the measures of complementary angles is always 90 degrees.

Complementary angles often arise in geometry and trigonometry, and understanding their properties is important when working with angles and solving problems involving right triangles.

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Answer:

35,14

Step-by-step explanation:

I am so sorry if this is wrong

Answer: I would have to guess 35, 14

Step-by-step explanation:

ABCD is rhombus with  m 25 = 3x+33 and m/2 = 4x-44, the value of the x is 14.4.

In a rhombus, opposite angles are equal, and the measure of an angle is half the measure of its intercepted arc. Therefore, we have:

m ∠B = m ∠D = 2(m ∠A) = 2(m ∠C)

Also, the sum of the measures of the angles in a quadrilateral is 360 degrees, so we have:

m ∠A + m ∠B + m ∠C + m ∠D = 360

Since ABCD is a rhombus, its diagonals bisect each other at right angles. Therefore, we have:

m ∠BAC + m ∠CBD = 90

Substituting the given angle measures, we get:

2(4x-44) + 2(3x+33) = 360 (using the fact that m/2 = 2m∠A)

8x - 88 + 6x + 66 = 180

14x - 22 = 180

14x = 202

x ≈ 14.4 (rounded to the nearest tenth)

Therefore, x ≈ 14.4.

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The two triangles are similar by the Angle- Angle and also SIde -Side postulates.

A postulate is defined as a statement that is assumed to be true without any proof.

A theorem is defined as a true statement and is supported by a proof (or can be proven).

Here, two triangles can be said to be similar through many postulates :

1. △ABC and △DEF are similar if

angle ABC is equal to angle DEF; and

angle BCA is equal to angle EFD

(or any other two corresponding angles are same)

This can be said that △ABC and △DEF are similar with Angle- Angle (AA) postulate.

2.  △ABC and △DEF are similar if

side AB/ BC is proportional to side DE/ EF;

(or ratio of two corresponding sides are similar)

This can be said that △ABC and △DEF are similar with Side Side (SS) postulate.

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Answer:

[tex]\frac{2}{4}[/tex] or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

When each time a coin is flipped, there are two possible outcomes.

The chance for either heads or tails being chosen is one half.

Thus, the number of times the coin can be flipped and land on heads or tails is [tex]\frac{1}{2}[/tex].

Hope it helped!

We can convert the unit  Nm to ft-lbs by using the formula 1Nm = 0.71 Lbs-ft.

We are provided with the unit Nm that means Newton meter.

we have to covert it into Lbs - ft.

Now, we know, from the standard conversion rates that one newton is equal to 0.2 lbs and one meter is roughly equal to 3.2 feet.

So, if we want to do the unit conversion, we should write,

= Lbs-ft

= 0.2 Lbs(3.2)ft

1Nm = 0.71 Lbs-ft.

Now, the above mentioned relation is our formula for the conversion of the two unit.

So, now we can write that, 1 Nm(Newton - meter) is equal to 0.71 Lbs-ft.

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The given statement is false.

You can compare two marginal distributions to see if the corresponding two variables are related - False.

Comparing marginal distributions can only disclose information about the distribution of each variable individually, not whether the variables are connected or not.

To see if two variables are connected, we must look at their joint distribution or conditional distribution. To examine the degree and direction of a link between two variables, statistical approaches such as correlation analysis or regression analysis can be utilised.

As a result, comparing marginal distributions is insufficient to tell whether two variables are connected or not.

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The summation notation calculator is a instrument is frequently referred to as a sigma notation calculator since it makes it simple to calculate the sum of a set of integers, also known as Sigma.

The consecutive addition of a group of numbers is known as a summation. One of the four fundamental arithmetic operations, along with subtraction, multiplication, and division, is addition. For a few numbers, particularly integers, it is easy to do, but with fractions and real numbers, it can be more difficult. This is where our summation calculator might be useful. The numbers can be manually entered or copied and pasted, separated by any non-numerical sign, with the exception of the minus and dot. There are shortcuts for computing the sums of particular sequences.

The lower and upper bounds, a mathematical formula to be used to compute each member of the sum series, and lastly the name of the variable to be used in the sigma expression must all be entered in the "Sigma notation" mode.

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Answer: Part A: Option C) 7.5x≥60

Part B: 8 hours

Step-by-step explanation:

Part A: To represent the situation in terms of x hours, we can use the formula:

Distance driven ≤ distance the car can travel per hour × hours the car is charged

Since Eva needs to drive at least 60 miles and the car can travel 7.5 miles per hour of charging, we can write the inequality as:

60 ≤ 7.5x

The correct answer is (C) 7.5x ≥ 60.

Part B: To find the least amount of time that Eva will need to charge her car, we can solve the inequality from Part A as follows:

7.5x ≥ 60

x ≥ 8

This means that Eva will need to charge her car for at least 8 hours to be able to drive at least 60 miles.

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Sorry I don't know good luck

With given expression, Fiction books will be calculated as 12.

What are expressions exactly?

In mathematics, expressions are mathematical claims that consist of at least two sentences that contain numbers, variables, or both, and are linked by an operator in between. Mathematical operations include addition, subtraction, multiplication, and division. For instance, x + y is an equation in which the words x and y are separated by an addition operator. In mathematics, there are two types of expressions: numerical expressions, which include only numbers, and algebraic expressions, which contain both numbers and variables.

e.g. A number is 6 more than half of another number, x. This proposition can be stated mathematically as x/2 + 6. Mathematical expressions are used to answer complex problems.

Now,

According to given conditions

Let non-fiction books=n

then fiction books are=3/8n

given that n+3/8n=44

11n/8=44

n=32

then 3/8n=12

hence,

        Fiction books will be 12.

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Right Question:-

   In the library at Lenape Elementary School, there are 3/8 as many fiction books as there are nonfiction books. There are 44 books in the school library. How many books are fiction books?

Expect distributions of these variables are:

a) Ages of people at a Little League game are unimodal and skewed.

b) Number of siblings of people in your class is unimodal and skewed.

c) Pulse rates of college-age males unimodal and roughly symmetric.

d) Number of times each face of a die shows in 100 tosses is approximately uniform.

a) Age distribution during a Little League game is likely to be unimodal and skewed. The age range of attendees. This is because Little League has an upper age restriction and the majority of players will fall inside that range, with just a small number being outliers. As a result, the distribution is likely to be unimodal, with the majority of participants falling within a relatively small age range, and being skewed toward older ages.

b) How many siblings are in your class? The distribution of siblings in a class is probably unimodal and skewed. This is because the majority of people either have no siblings or have one or two siblings, with just a small minority having three or more. As a result, the distribution will be unimodal, with the majority of individuals falling within a very small range, and tilted in the direction of the lower numbers.

c) Males in college-age pulse rates: These men's pulse rate distributions are probably unimodal and roughly symmetric. It is doubtful that there would be different groups or outliers that would result in a bimodal distribution, even though there may be some natural variation in pulse rates. There is also no reason to assume that one tail of the distribution will be longer or more dispersed than the other, hence the distribution is probably symmetric.

d) Number of times each die face is revealed in 100 throws: The distribution of the number of times each die face is revealed in 100 throws is probably quite uniform. Each face has an equal chance of appearing on each toss, and throughout 100 tosses, each face is expected to do so roughly the same amount of times, assuming a fair die. As each face should appear nearly equally often, the distribution should be quite consistent.

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The domain that describes the function is,

All whole number

Option C is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

C(t) = 0.05t + 20

C(t) represents the total cost per month and t is the number of text.

Now,

t is the domain of the function C(t).

C(t) can not be in negative value so, t has to be a positive number.

And,

t can be any positive real number.

Now,

All real numbers included negative numbers.

All real numbers that are multiples of 0.05 included negative numbers.

Thus,

All whole number describes the domain of C(t).

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The rank of the 4 x 5 matrix is 2 whose null space is three-dimensional

Matrix is defined as a rectangular array of rows and columns.

Rank of a matrix is defined as the maximum number of linearly independent columns (or rows ) that the matrix has.

Rank–nullity theorem is defined as a theorem described in linear algebra, which says that the dimension of the domain of a map is the sum of its rank and its nullity.

The rank-nullity theorem states that for a matrix A,

rank(A)+nullity(A)= number of pivot columns of A

That implies (the number of pivot columns) - (the null space dimension) = rank

The rank-nullity theorem states that for any matrix A, the rank of A plus the dimension of the null space of A equals the number of columns of A. In other words:

rank(A) + dim(null(A)) = number of columns of A

In this case, we have a 4 x 5 matrix A with null space of dimension 3. Therefore, we can solve for the rank of A as follows:

rank(A) + dim(null(A)) = number of columns of A

rank(A) + 3 = 5

rank(A) = 2

So the rank of the 4 x 5 matrix is 2.

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Answer:

Step-by-step explanation:

eay ma boi

One millimeter is equal to 0.00106 of U.S. liquid quarts. Simply multiply any number of ml with the given value of liquid quarts to convert and find volume.

An object's or space's three-dimensional extent can be measured using a volumetric unit of measurement. Capacity is measured by volume. Consequently, the volumetric unit is essentially a unit for gauging the size or extent of an object or space.

Typically, the unit is used to describe the volume of products or liquids. To measure a quantity of something, use the International System of Units. Despite the fact that people speak different languages, the SI Units are used globally to communicate the measurements used in research settings.

Cubic meters, liters, and milliliters are the three most popular SI units for measuring volume. Specifically, the cubic meter as the unit of volume in the SI system.

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La ecuación de la recta es y = 1.2x + 0, o simplemente y = 1.2x. Y el precio en euros de 10 dólares es de 12 €.

La ecuación de la recta que nos da el precio en euros, y, de x dólares se puede hallar utilizando la fórmula de la pendiente de una recta, que es m = (y2 - y1) / (x2 - x1). En este caso, los puntos dados son (3, 3.6) y (7, 8.4).

Primero, calculamos la pendiente de la recta:
m = (8.4 - 3.6) / (7 - 3)

m = 4.8 / 4

m = 1.2

Luego, utilizamos la fórmula de la ecuación de la recta, y = mx + b, para encontrar el valor de b. Podemos utilizar cualquiera de los puntos dados para esto. Usaremos el punto (3, 3.6).

3.6 = 1.2(3) + b
3.6 = 3.6 + b
b = 0

Por lo tanto, la ecuación de la recta es y = 1.2x + 0, o simplemente y = 1.2x.

Esta ecuación nos da el precio en euros, y, de x dólares. Si queremos encontrar el precio en euros de una cierta cantidad de dólares, simplemente sustituimos el valor de x en la ecuación y resolvemos para y. Por ejemplo, si queremos encontrar el precio en euros de 10 dólares, sustituimos x = 10 en la ecuación:

y = 1.2(10) = 12

Por lo tanto, el precio en euros de 10 dólares es de 12 €.

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Using the given radius we know that the length of the line BR is 6.5 units.

A circle or sphere's radius is any line segment that connects the object's center to its perimeter in classical geometry; in more contemporary usage, it also refers to the length of such line segments.

The word "radius" is derived from Latin and means "ray" as well as "the spoke of a chariot wheel."

The radius of a circle is the separation between its center and circumference.

Always, the diameter is twice the radius. As a result, the formula is created by multiplying the diameter by two.

So, according to the given image:

SP is the perpendicular bisector of line BA.

And line BA is 13 units.

SP intersects BA st R.

Then, the length of BR will be:

= 13/2

= 6.5

Therefore, using the given radius we know that the length of the line BR is 6.5 units.

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The inscribed angles are  3°, 5°, and 2.5°.

It is the angle inscribed on the arc of a circle.

The measure of the angle is half of the intercepted arc.

We have,

From the figure,

We are assuming that the intercepted arc length:

1)

Intercepted arc length = 6

Inscribed angle.

= 1/2 x 6

= 3°

2)

Intercepted arc length = 10

Inscribed angle.

= 1/2 x 10

= 5°

3)

Intercepted arc length = 5

Inscribed angle.
= 1/2 x 5

= 2.5°

Thus,

The inscribed angles are  3°, 5°, and 2.5°.

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For the circle inscribed in the triangle the value for QK is 17.34.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

From the given figure it can be seen that XZ is bisected.

XZ = XK + KZ

Also XK = KZ

The value of XZ is 36.

So, XK = XZ/2

XK = 36/2

XK = 18

Q is the circumcentre because Q is the point of intersection of perpendicular bisectors of sides of triangle.

So, this gives -

Circumradius = QX = QY = QZ.

And QX = 25.

Use the Pythagoras theorem for ΔQXK -

QX² = XK² + QK²

25² = 18² + QK²

QK² = 25² - 18²

QK² = 625 - 324

QK = √301

QK = √301

QK = 17.34

Therefore, the value is obtained as 17.34.

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Gauss-Jordan elimination is a method used to solve a system of linear equations by reducing the augmented matrix of the system to a reduced row-echelon form through a series of elementary row operations.

The process involves manipulating the rows of the augmented matrix to obtain a triangular matrix, where all entries below the diagonal are zero. This is achieved by applying elementary row operations such as adding a multiple of one row to another row or multiplying a row by a scalar.

Once the augmented matrix is in triangular form, further elementary row operations are used to eliminate the nonzero entries above the diagonal. This results in the augmented matrix being in reduced row-echelon form, where the pivot elements are all equal to 1 and the columns corresponding to the pivot elements are linearly independent.

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Answer:

Inequality form: -2 ≤ x ≤ 1

Interval Notation: [-2, 1]

Step-by-step explanation:

Move all terms not containing x from the center section of the inequality.

Answer:

yes

Step-by-step explanation:

yes