explain why two lines through the origin that meet at a right angle can be considered orthogonal subspaces of r2 but two planes through the origin that meet at a right angle can not be considered orthogonal subspaces of r3.

Answer:

star

Step-by-step explanation:

if you continue the pattern, the 13th is star

[tex]\fbox{7x-12}[/tex]

Distributive property:

[tex]x+(3)(2x)+(3)(-4)[/tex]

[tex]x+6x+-12[/tex]

Combine like terms:

[tex](x+6x)+(-12)[/tex]

[tex]7x-12[/tex]

The variables of the test statistic can be concluded as [tex]s_{1} ^{2}[/tex], [tex]s_{2} ^{2}[/tex] as the variance of two samples, [tex]n_{1}[/tex], [tex]n_{2}[/tex] as the respective size of the two samples, [tex]t[/tex] as the t-distribution test statistic, and [tex]x_{1}[/tex], [tex]x_{2}[/tex] as the mean of the two samples.

It is given to us that the test statistic is used for a two sample test of means where the population variances are unknown and unequal.

Pooled standard deviation estimates cannot be used when the two groups have unequal variances. Instead, we have to find out the standard error for each group separately.

The formula for this type of test statistic is given by -

[tex]t=\frac{x_{1} -x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1} } +\frac{s_{2} ^{2} }{n_{2} } } }[/tex] ------- (1)

Here, the variables can be defined as below -

[tex]s_{1} ^{2}[/tex], [tex]s_{2} ^{2}[/tex] = The variance of two samples

[tex]n_{1}[/tex], [tex]n_{2}[/tex] = The respective sizes of the two samples

[tex]t[/tex] = t-distribution test statistic

[tex]x_{1}[/tex], [tex]x_{2}[/tex] = Mean of the two samples

Thus, the variables of the test statistic can be concluded as [tex]s_{1} ^{2}[/tex], [tex]s_{2} ^{2}[/tex] as the variance of two samples, [tex]n_{1}[/tex], [tex]n_{2}[/tex] as the respective size of the two samples, [tex]t[/tex] as the t-distribution test statistic, and [tex]x_{1}[/tex], [tex]x_{2}[/tex] as the mean of the two samples.

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Answer:

Step-by-step explanation:

98

Answer:

8

Step-by-step explanation:

The expression that represents the change that the cashier handed Michelle is $20 - $P.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

A collection of numbers, symbols, and operators (like + and ) that represent a value.

Examples: The phrase 2 + 3 is one.

We must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.

So, Michelle purchased a notepad for P dollars with $20 cash.

Now, considering that Michelle paid P dollars for a notepad using a $20 bill.

As a result, the cashier gave Michelle $20 - $P.

Therefore, the expression that represents the change that the cashier handed Michelle is $20 - $P.

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Correct question:
Michelle used a $20 bill to pay for a notebook that only costs P dollars

How much change did Michelle receive from the cashier?

Write your answer as an expression.

The code is written in nafta capital python.

canadian_capitals = {"Alberta":"Edmonton", "British Columbia":"Victoria", "Manitoba":"Winnipeg"}  ( I created the first dictionary with the variable name called canadian_capital.  Notice the province of Canada is mapped to to their respective capitals.)

mexica_capitals ={"Aguascalientes":"Aguascalientes", "Baja California":"Mexicali", "Baja California Sur":"La Paz"}  ( I created the second dictionary with the variable name called mexican_capital. The states are also mapped to their respective capitals.)

us_capitals ={"Alabama":"Montgomery", "Alaska":"Juneau", "Arizona":"Phoenix"}  ( I created the third dictionary with the variable name called us_capital.  The states are also mapped to their respective capitals.)

nafta_capitals = {}  (This is an empty dictionary with the variable name nafta_capitals to combine the 3 dictionaries.)

nafta_capitals.update(canadian_capitals)  (I updated the empty dictionary with the canadian_capitals dictionary.)

nafta_capitals.update(mexica_capitals)  (I also added the mexica_capitals dictionary to the nafta_capitals dictionary.)

nafta_capitals.update(us_capitals)  I also added the us_capitals dictionary to the nafta_capitals dictionary.

print(nafta_capitals)  ( The whole 3  dictionaries have been combined to form the nafta_capitals dictionary. The print function displays the already combine dictionaries.)

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The breadth of the confidence interval grows as the confidence level does. The breadth of the confidence interval reduces as the confidence level rises.

Generally speaking, the more information we know on the level of the population parameter, the narrower a confidence interval becomes. As a result, we want to make sure that all of the confidence intervals are as small as feasible. So let's look at the variables that influence the mean's t-interval width.

The margin of error grows as the degree of confidence does because we require a broader interval to improve our level of confidence that the interval includes the population mean.

Because the standard error is reduced as sample size increases, confidence intervals are narrower.

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The polynomial equation with zeroes of -3, -1, 2 and y-intercept of -14 is x^3 +2x^2 -5x -20.

The zeros of a function f(x) are values of the variable x such that the values satisfy the equation f(x) = 0. The zeros of a function are also called the roots of a function.

if -3, -1, 2 are zeroes of y(x) with an intercept d then

y(x) = (x-a)(x-b)(x-c) + d

where a = -3, b = -1, c = 2, d = -14

Substituting we have

y(x) = (x+3)(x+1)(x-2) -14

let us expand the first two linear factors

(x+3)(x+1) =x^2 +3x + x + 3 which is x^2 + 4x + 3

multiply this result with (x-2), we have

(x-2)(x^2 + 4x +3)

x^3 + 4x^2 +3x -2x^2 -8x -6

simplifying it becomes x^3 +2x^2 -5x -6

y(x) =  x^3 +2x^2 -5x -6 -14

y(x) = x^3 +2x^2 -5x -20

In conclusion the polynomial function is  x^3 +2x^2 -5x -20

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The Python program prints the value of the integer n from the input string shown. (Refer to the coding below)

An arrangement of Python statements that have been specifically designed to accomplish a task is the simplest definition of a program.

A program is even our straightforward hello.py script.

Although it is only one line long and of limited use, it is a Python program by the strictest definition.

Functions assist in segmenting our program into manageable, modular portions.

Our program becomes more organized and controlled as it gets bigger and bigger.

It also makes the code reusable and prevents repetition.

So, we know that the program is for the given integer n:

Defining the integer variable "N" that accepts a user-supplied integer value.

The user-end string value is input using another variable "W" that is declared in the next step.

A for loop using the range method and an integer variable is declared after all input values have been entered.

This loop prints the string value.

The Python program prints the value of the supplied string.

N= int(input("Enter a value of integer N (0 <= N <= 100): "))#defining an integer variable N that inputs integer value from the user-end

W = input("Enter the word W (length of 1 <= L <= 50): ")#defining a string variable W that inputs the value fom the user-end

for n in range(N):#defining a for loop that uses the range method with integer variable and prints the string value

  print(W)#printing the string value

Therefore, the Python program prints the value of the integer n from the input string shown.

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Complete question:
You are given an integer N where 0 <= N <= 100, followed by another line of input which has a word W with length L where 1 <= L <= 50. Your task is to print N lines with the word W. The lines of your output should not have any trailing or leading spaces.

Your output lines should not have any trailing or leading whitespaces

Input

3

Hello

Output

Hello

Hello

Hello

Answer:

2 x-5

Step-by-step explanation:

There is a 0.890 percent chance that headway will be within one standard deviation of the mean.

The mean value is what?

The mean, or average of the given numbers, is calculated by dividing the sum of the numbers by the total number of numbers.

The sum of all possible values, weighted by the likelihood of each value, constitutes the mean of a discrete probability distribution of the random variable X. Each possible value of X must be multiplied by its probability, P(x), before being added to determine the mean.

P(0.995 ≤ x ≤ 1.445) = F(1.445) - F is the given mean value (0.995).

The distribution's cdf is

f(x) = { (1 - 1/x⁶ , x > 1) (0. x ≤ 1)

Determine the values of F(1.445) and F now (0.995).

F(1.445) = 1 - (1/(1.445)⁶)

F(0.995) = 0

Now, using the values of F(1.445) and F(0.995) in P( 0.995 ≤ x ≤ 1.445) to get F(1.445) - F(0.995):

P( 0.995 ≤ x ≤ 1.445)

=1 - (1/(1.445)⁶) - 0

=0.890

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Answer:

If the net force on an object is zero, then the object is in equilibrium. It means the sum of the forces in all directions must be equal to zero.

Answer: equilibrium

Step-by-step explanation: When an object is in equilibrium (either at rest or moving with constant velocity), the net force acting on it zero.

Answer:

no

Step-by-step explanation:

2 : 12 = 1 : 6

Answer:

Step-by-step explanation:

Cosine is adjacent over hypotenuse.

So for Angle Z, the adjacent leg is 12 and the hypotenuse leg is 20.

The Cosine ratio is 12/20.

16 is not used and would be the opposite leg to Angle Z

Answer: (x+5)(x+2)^2

Step-by-step explanation: Expanding (x+5)(x+4)(x+4) gives:

(x+5)(x+4)(x+4) = x(x+4)(x+4) + 5(x+4)(x+4)

= x^2(x+4) + 4x(x+4) + 5x(x+4) + 20(x+4)

= x^3 + 4x^2 + 5x^2 + 20x + 16x^2 + 80x + 20x + 80

= x^3 + 9x^2 + 45x + 80

Fully simplifying this expression gives:

x^3 + 9x^2 + 45x + 80 = (x+5)(x^2+4x+16)

= (x+5)(x+2)^2

The dimensions of a right circular cylinder of maximum volume are

[tex]5\sqrt{6}[/tex] and [tex]10\sqrt{3}[/tex].

Given the radius of sphere is 15 cm.

Let's assume radius of right circular cylinder = r

height of right circular cylinder = h.

Since the cylinder is inscribed in the sphere, their centers will coincide. As a result, the height is divided into two equal portions from the sphere's center. Therefore, we can apply Pythagoras' Theorem to get the cylinder's half-height in terms of radius.

[tex]R^2 = r^2 + (h/2)^2[/tex].

[tex]r^2=R^2-h^2/4[/tex]

Volume of cylinder = [tex]\pi r^2h[/tex]

Now we can substitute value of [tex]r^2[/tex] in volume of cylinder.

V =  π*([tex]R^2[/tex] - [tex]h^2[/tex]/4)*h

taking  R = 15 .

V = π*(225 - [tex]h^2[/tex]/4)*h

V = π*225*h - π*[tex]h^3[/tex]/4

For maximum volume we have to do derivative of volume = 0

derivative with respect to h.

V' = π*225 - 3*π[tex]h^2[/tex]/4

V' = 0

π*225 - 3*π[tex]h^2[/tex]/4 = 0

3*[tex]h^2[/tex]/4 = 225

[tex]h^2[/tex] =  75*4

h = [tex]10\sqrt{3}[/tex]

put the value of h in [tex]r^2=R^2-h^2/4[/tex]

[tex]r^2[/tex] = 225 - (300/4)

[tex]r^2[/tex]  = 150

r = [tex]5\sqrt{6}[/tex]

Given Question is incomplete, Complete Question here

find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 15 cm. what is the maximum​ volume?

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The length of the shadow is changing rate at 2.69 [tex]\frac{ft}{sec}[/tex].

What do you mean by length?

The measurement or size of something from end to end is referred to as its length. To put it another way, it is the greater of the higher two or three dimensions of a geometric shape or object. For instance, the length and width of a rectangle define its dimensions.

According to data in the given question,

We have the given information:

The height of the person is 7 ft.

The person is walking away from the post at a rate of 5ft/sec.

The height of the lamppost is 20ft.

Let the person's distance from the bottom of the light post be x ft.

And his shadow's length is y ft.

Form the similar triangles,

[tex]\frac{x+y}{20}=\frac{y}{7}\\[/tex]

7(x+y) = 20y

7x+7y = 20y

20y-7y = 7x

13y = 7x

y = [tex]\frac{7}{13}x[/tex]

Now, we will differentiating wrt t,

[tex]\frac{dy}{dt}=\frac{7}{13}\frac{dx}{dt}................(1)[/tex]

We know that,

[tex]\frac{dx}{dt}=5\frac{ft}{sec}[/tex]

Putting the value of  [tex]\frac{dx}{dt}[/tex]  in equation (1),

[tex]\frac{dy}{dt}=\frac{7}{13}.5=\frac{35}{13}=2.69\frac{ft}{sec}[/tex]

Therefore, the length of the shadow is changing rate at 2.69 [tex]\frac{ft}{sec}[/tex].

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Answer:

is 364

Step-by-step explanation:

For containing the 40 small fish, the size of the fish tank required is

48 -gallon.

As the stated question-

For 5 small fish -----> 6-gallon fish tank required.

Then, for 1 small fish,

1 small fish -----> 6/5 -gallon fish tank required.

For the total of 40 small fish.

40 small fish -----> 40x6/5 -gallon fish tank required.

40 small fish -----> 48 -gallon fish tank required.

Thus, for containing the 40 small fish, the size of the fish tank required is

48 -gallon.

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A parametric representation using spherical-like coordinates for the upper half of the ellipsoid is given by x2 = 9 + -2.25y2 + 0.25z2.

A sphere can be deformed into an ellipsoid by applying directional scalings, or more generally, an affine transformation, to it.

A quadric surface, or surface that can be described as the zero set of a polynomial of degree two in three variables, is an ellipsoid. An ellipsoid among quadric surfaces has one of the two characteristics listed below. Every cross section of a flat surface is either an ellipse, empty, or reduced to a single point (this explains the name, meaning "ellipse-like"). It can be contained in a sphere that is big enough because it is bounded.

Three pairwise perpendicular axes of symmetry intersect at an ellipsoid's center of symmetry, or the

According to our question-

To each side of the equation, add "-9y2".

4x2 + 9y2 + -9y2 + -1z2 = 36 + -9y2

combining similar terms 9y2 + -9y2 = 0

4x2 + 0 + -1z2 = 36 + -9y2

4x2 + -1z2 = 36 + -9y2

To either side of the equation, add "z2".

4x2 + -1z2 + z2 = 36 + -9y2 + z2

Hence, A parametric representation using spherical-like coordinates for the upper half of the ellipsoid is given by x2 = 9 + -2.25y2 + 0.25z2.

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The dunking booth is the shape of a cube represented below (x+3). Therefore, the polynomial of volume of the dunking booth is

                                            (x +3) (x+3)².

Lets talk about the cube prism

- It has cube faces each two opposite faces are congruent

- It has three dimensions.

- Its volume = a³

In our problem the dunking booth is a cube prism with dimensions:  x + 3

Side = x +3

therefore,

V = a³ = ( x +3)³

          = (x)³ + 3× (x)²× 3 + 3× x × (3)² + (3)³

          = x³ + 9x² + 27x + 27

Regrouping ,

          = x³+ 27+ 9x² + 27x

Rewrite 27as 33.

x³+ 3³+9x²+ 27x

Since both terms are perfect cubes, factor using the sum of cubes formula,

a³+b³ = (a + b)(a²- ab+ b²) where a=x and b=3.

(x+3)(x− x⋅3 + 32)+ 9x²+ 27x

Simplify.

     (x+3)(x²− 3x + 9)+ 9x²+ 27x

⇒  (x+3)(x²− 3x + 9)+ 9x(x+3)

Now,

x+3 out of  (x+3)(x²− 3x + 9)+ 9x(x+3) .

⇒ (x+3)(x²− 3x + 9 + 9x)

Add −3x and 9x.

(x+3) (x²+ 6x+ 9)

Rewrite the polynomial.

   (x+3)(x²+ 2⋅x⋅3+ 3²)

Factor using the perfect square trinomial rule a²+2ab+b² = (a + b)² , where a = x and b = 3.

                  (x+3)(x+3)².

Therefore, the polynomial is   (x+3)(x+3)².

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The ball will need to travel 126 feet since it will be dropped from a height of 6 feet and then bounce 10/11 feet.

A number is split in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of things being distributed among a set of individuals, as in the example given above. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

Here,

2*{6/(1-10/11)}-6

2*(6/1/11)-6

2*6*11-6

required distance=126 feet

The required distance will be 126 feet as the ball is dropped from 6 feet and rebounds 10/11 of the distance.

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Answer:

C

Step-by-step explanation:

yeah I think it's c there's 35% it's C

The stated zone in EMTALA in 2003 when defining a hospital campus is d. 250 yards

What is EMTALA?

EMTALA stands for Emergency Medical Treatment & Labor Act. It is passed by the US Congress in 1986 to ensure public access to emergency services regardless of ability to pay.

2003 revision of EMTALA provides that the 250-yard zone will continue to apply when defining the "hospital campus". However, that sphere does not include non-medical businesses (shops and restaurants located close to the hospital), nor does it include physicians' offices or other medical entities that have a separate Medicare identity.

Hence, the correct answer is d. 250 yards.

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The total ways of selecting 6 numbers in 175223510 Ways.

A permutation is an grouping or the combination of items that is drawn from a set of which the placement or an arrangement of the given objects is significant. In the other terms, an arrangement of the items in the specific order is a permutation.

Total number of White balls = 59

Total number of red balls = 35

Way of choosing 5 white balls = ⁵⁹C₅

= [tex]\frac{59!}{54! 5!}[/tex]

=5006386 ways

Way of choosing 1 red ball = ³⁵C₁

=35 ways

Hence Total ways would be =

5006386 * 35 = 175223510 Ways

Hence the total ways of selecting 6 numbers in 175223510 Ways.

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The number of people in Singapore is  1085500 people  .

In the question ,

it is given that ,

the Singapore's land area is = 130 square kilometer ,

the population density of Singapore is = 8350 people per square kilometer ,

So , the number of people in Singapore can be calculated using the formula ,

Number Of People = (population density of Singapore)×(land area of Singapore)

Substituting the value of population density and land area , we get

hence , Number Of People = 8350 × 130

= 1085500 people .

Therefore , the number of people are 1085500 .

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The total number of tests they can grade in 3 hours are 90.

What is graded test?

Your grade in an exam or written assignment is the letter or number you receive as a mark that represents your level of proficiency.

A graded exercise test (GXT) is a screening tool for determining a person's level of fitness. The test measures the cardiovascular response to exercise in order to assess the participant's capacity for exercise.

Since, the number of minutes in 3 hours is:

= 3 x 60 minutes per hour

= 3 x 60

= 180 minutes

The number of tests that Sam can grade in these 3 hours is therefore:

= ( Number of total minutes / Minutes taken by Sam for 6 tests) x 6 tests

= ( 180 / 24) x 6

= 45 tests

The number of tests that Ben can grade are:

= ( Number of total minutes / Minutes taken by Ben for 5 tests) x 5 tests

= ( 180 / 20 ) x 5

= 45 tests

So, the total number of tests they can grade in 3 hours is:

= 45 + 45

= 90 tests

Hence, the total number of tests they can grade in 3 hours are 90.

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