Canada has two official languages English and French a poll was given out to people asking them what language does your mother speak here is what the poll found out combining many separate languages from the Asian/pacific region 67.3% spoke English 27.5% spoke French 4.4% spoke from Asian/pacific region and 0.8% spoke a different language P(mother spoke French of English) =P(mother did not speak English) =

Answer:

81 shares

Step-by-step explanation:

Data provided in the question

Number of shares owned = 75 shares of stock

Per share value = $50

Dividend declared = 8%

Based on the above information. the number of shares owned is

\(= Number\ of \ shares\ owned \times dividend\ declared\ percentage + Number\ of \ shares\ owned\)\(= 75\shares \times 8\% + 75\shares\)

= 81 shares

We simply added the number of shares owned and the number of shares owned after considered the dividend declared percentage so that the correct shares owned could arrive

Answer:

$15943.23

Step-by-step explanation:

each day the total of the day before is multiplied by 3 so if you do that for 14 days you will get the answer

Answer:

2,391,4.84 dollars

Step-by-step explanation:

1,    3  ,    9...

on the 1st day, 3^0

on the 2nd day, 3^1

on the 3rd day, 3²

:

one the 14th day, 3^(14-1)

=> 3^13

=> 1,594,323

"Total about of money" => have to add up the money from the 1st day to the 14th day:

1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187 + 6561 + 19683 + 59049 + 177147 + 531441 + 1594323 = 2,391,484

Answer:

  B.  a line segment

Step-by-step explanation:

The wording "straight path" tells you the figure is a line or part of a line. The description "two endpoints" tells you the part of the line is bounded, hence must be ...

  a line segment

A. A circle has no end points is not a straight path

C. An angle is the space between two rays. Those have one common endpoint.

D. A ray is part of a line with one end point.

Answer:

It has one solution.

Step-by-step explanation:

c = 37/29.

The total measurements of the roof in square feet as required to be determined in the task content is; 2649 ft².

It follows from the task content that the total area of the roof as given in the task content is to be determined.

On this note, the area of the roof is the total area of the 71ft by 39 ft rectangle minus the area of the shaded region with dimensions 15 ft by 8 ft.

Therefore;

Area = (71 × 39) - (15 × 8)

= 2649 ft².

Ultimately, the total area measure of the roof in square feet is; 2649 square feet.

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Answer:

It is an incorrect claim from the student that the measures of central tendency will change.

It is a correct claim from the student that the measures of spread will change but only range and standard deviation.

Step-by-step explanation:

The complete question is: Suppose a person in the club with 91 members transfers to the club with 71 members. A student claims that the measures of centers and the measures of spread will all change. Correct the student’s error.

Data set was: 80, 74, 77, 71, 75, and 91.

Firstly, we have to represent the original data set in ascending order;

Original data set = 71, 74, 75, 77, 80, and 91.

Now, it is stated that a person in the club with 91 members transfers to the club with 71 members, so the new data set is;

New data set = 72, 74, 75, 77, 80, and 90.

Now, first taking into account the measure of central tendency that is; Mean and Median.

Mean of both the data will remain the same because there is no change in the sum of all values in both the data set, i.e;

Mean of original data =  \(\frac{71+74+75+77+80+91}{6}\)

                                    =  \(\frac{468}{6}\)  = 78

Mean of new data =  \(\frac{72+74+75+77+80+90}{6}\)

                               =  \(\frac{468}{6}\)  = 78

Now, the median of both the data set will also remain the same because there is a change in the first and last term of the data, so there will be no effect on the middle value in both the data.

Hence, it is an incorrect claim from the student that the measures of central tendency will change.

Now, taking into account the measure of spread that is; Range, Inter-quartile range, and Standard deviation.

Range is given by = Highest value - Lowest value

So, the range of original data = 91 - 71 = 20

and the range of new data = 90 - 72 = 18

This means that the range of data has been changed.

Now, the inter-quartile range = Second last term - Second term of data

So, the inter-quartile range of original data = 80 - 74 = 6

and the inter-quartile range of new data = 80 - 74 = 6

This means that the inter-quartile range of data has not been changed.

Now, the standard deviation =  \(\sqrt{\frac{\sum (X - \bar X)^{2} }{n-1} }\)

So, the standard deviation of the original data =  \(\sqrt{\frac{(71-78)^{2} +.......+ (91-78)^{2} }{6-1} }\)

                                                                             =  7.043

The standard deviation of the new data =  \(\sqrt{\frac{(72-78)^{2} +.......+ (90-78)^{2} }{6-1} }\)

                                                                   =  6.481

This means that the standard deviation has been decreased.

The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.

To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.

Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).

The formula for sine is:

sin(angle) = opposite / hypotenuse

Rearranging the formula, we have:

hypotenuse = opposite / sin(angle)

In this case, the opposite side is the vertical distance, which is h.

So, the formula becomes:

hypotenuse = h / sin(angle)

To find h, we can use the formula for the length of the zip wire:

h = 25 * tan(angle)

Substituting this into the previous formula, we get:

hypotenuse = (25 * tan(angle)) / sin(angle)

Calculating the value, we have:

hypotenuse = (25 * tan(10°)) / sin(10°)

Using a calculator, we find:

tan(10°) ≈ 0.1763

sin(10°) ≈ 0.1736

Substituting these values, we can calculate the length of the zip wire:

hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters

Therefore, the length of the zip wire is approximately 25.35 meters.

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If A and B are similar matrices and v is an eigenvector of A, then v is also an eigenvector of B , similarly if u is an eigenvector of B then u is also eigenvector of A.

Suppose A and B are n×n matrices over R or C. We say A and B are similar, or that A is similar to B, if there exists a matrix P such that B =P⁻¹AP.

The eigenvalues are the roots of the

characteristic polynomial.

B =P⁻¹AP ⇔ PBP⁻¹ = A

If Av = λv , then PBP⁻¹v = λv ⇒ BP⁻¹v = P⁻¹λv

So, if v is an eigenvector of A, with eigenvalue λ, then P⁻¹v (which is non-zero since P is invertible) is an eigenvector of B with the same eigenvalue. If u is an eigenvector for B then P⁻¹v is an eigenvector for A. So, every eigenvalue of A is an eigenvalue of B and since you can interchange the roles of A and B in the previous calculations, every eigenvalue of B is an eigenvalue of A too. Hence, A and B have the same eigenvalues.

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the value of the test statistic for testing whether there is a linear relationship between the and the estimated number is 0.3506905

Using a correlation Coefficient calculator, the correlation Coefficient, r for the data = 0.127

The test statistic :

T = r² / √(1 - r²) / (n - 2)

Sample size, n = 10

Hence,

T = 0.127² / √(1 - 0.127²) / (10 - 2)

T = (0.016129 / 0.3506905)

T = 0.3506905

The value of the test statistic to 2 decimal places is 0.35

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The slope of the line tangent to the graph of h(x) = 1/x + 3 at the point when x is -6 is -1/36.

To determine the slope of the line tangent to the graph of the given function when x = -6;

Using alternative form of the definition of derivative.

f'(a) = lim (h->0) [f(a+h) - f(a)] / h

Using this formula for the given function;

h'(a) = lim (h->0) [h(a+h) - h(a)] / h

Now, substitute a = -6 into the formula:

h'(-6) = lim (h->0) [h(-6+h) - h(-6)] / h

Next, simplify the expression by plugging in the values:

h'(-6) = lim (h->0) [1/(-6+h) + 3 - (1/-6 + 3)] / h

Simplifying further:

h'(-6) = lim (h->0) [1/(-6+h) - 1/-6] / h

Now, let's combine the fractions with a common denominator:

h'(-6) = lim (h->0) [(-6 - (-6+h))/((-6+h)(-6))] / h

Simplifying the numerator:

h'(-6) = lim (h->0) [-h / ((-6+h)(-6))] / h

Canceling out the h's:

h'(-6) = lim (h->0) [-1 / ((-6+h)(-6))]

Taking the limit as h approaches 0:

h'(-6) = -1 / ((-6)(-6))

Simplifying further:

h'(-6) = -1 / 36

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Answer:

  19 or 26

Step-by-step explanation:

You want the value of 3n² -8n -9, given that n(n -3) = 10.

We recognize that 10 = 5·2 and that these factors differ by 3. This means n(n -3) = 10 is equivalent to saying n ∈ {-2, 5}.

The value of 3n² -8n -9 will be one of ...

  (3n -8)n -9 = (3(-2) -8)(-2) -9 = (-14)(-2) -9 = 19 . . . . for n = -2

or

  (3(5) -8)(5) -9 = (7)(5) -9 = 26 . . . . . . . for n = 5

The expression 3n² -8n -9 will be either 19 or 26.

<95141404393>

Rise/run = slope

hope this helps :)

The sample of hospitals would we need to be 99 percent confident that the sample mean is within 0.5 days of the population mean is A. 48

We want to find the sample size (n) that would give us a confidence interval of 0.5 days, so we can rearrange the formula to solve for n:

n = (z*σ/CI)^2

Plugging in the given values:

z = 2.576 (for 99% confidence level)

σ = 1.2 days

CI = 0.5 days

n = (2.576 × 1.2/0.5)²

n ≈ 48

Therefore, the correct option is A.

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Answer:

86.4 kilometers per hour

Answer: the answer is in the photo pls check this out and hope this helps can u give me brainliest

Step-by-step explanation:

Answer:

3x-(2x+4)+5

-(2x +4)

 -2x-4

=3x-2x-4+5

=x+1

Step-by-step explanation:

hope that helps>3

Answer:

5

Step-by-step explanation:

The midpoint of segment AB is (1, 1).

Substituting these coordinates into the equation of the line,

\(2(1)+3(1)-k=0 \\ \\ 5-k=0 \\ \\ k=5\)

Answer:

f

Step-by-step explanation:

Green vines attached to the trunk of the tree had wound themselves toward the top of the canopy. Ants used the vine as their private highway, avoiding all the creases and crags of the bark, to freely move at top speed from top to bottom or bottom to top depending on their current chore. At least this was the way it was supposed to be. Something had damaged the vine overnight halfway up the tree leaving a gap in the once pristine ant highway.

The whole numbers will be:

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}

Remember that a square root will have a whole number as an outcome only if the input is a square number.

Then, what we can do here is just find all the square numbers smaller than 200.

1*1 = 1

2*2 = 4

3*3 = 9

4*4 = 16

5*5 = 25

6*6 = 36

7*7 = 49

8*8 = 64

9*9 = 81

10*10 = 100

11*11 = 121

12*12 = 144

13*13 = 169

14*14 = 196

Then, if we take the square roots of all the natural numbers from 1 to 200, we will have 14 whole numbers as outcomes, and these will be:

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}

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The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.

The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.

The y-intercept is -5 and it represent the initial wages earned.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (24.00 - 8.00)/(3 - 1)

Slope (m) = 16.00/2

Slope (m) = 8

At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:

y - y₁ = m(x - x₁)

y - 3 = 8(x - 1)

y = 8x - 8 + 3

y = 8x - 5

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Wyatt's paycheck for the week would be $550.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To calculate Wyatt's paycheck, we need to determine his total earnings for the week.

His earnings from his base salary are simply $250.

To calculate his earnings from commission, we need to determine 3% of his sales.

3% of $10,000 is:

0.03 * 10000 = $300

So Wyatt's earnings from commission would be $300.

Adding his base salary and commission together, we get:

$250 + $300 = $550

Therefore, Wyatt's paycheck for the week would be $550.

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Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.

To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.

Rental: 1/5

Food: 1/10

Bank: 1/4

To find the fraction spent on miscellaneous:

Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)

Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40

Fraction spent on miscellaneous = 1 - 17/40 = 23/40

So, Mr. Marshal spent 23/40 of his salary on miscellaneous.

To find the amount spent on rental, we multiply the fraction spent on rental by his salary:

Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680

Therefore, Mr. Marshal spent $1,680 on rental.

If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.

Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90

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Answer:

= 5x-5y

Step-by-step explanation:

Multiply 5to x and y

Answer:

5x-5y

Step-by-step explanation:

multiply both the terms x and y by 5.

Answer:

1 and 4

Step-by-step explanation:

it's a counterexample since the product, 4 is less than the sum, 5, proving the conjecture false.

By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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Answer:

Step-by-step explanation:

f(x) = x + 3

g(x) = 2x + 1

g(g(-3)) = g(-5) = -9

f(g(x) = f(2x + 1) = 2x + 1 + 3 = 2x + 4

g(f(x) = g(x + 3) = 2(x + 3) + 1 = 2x + 7

Las cantidades de bolitas para cada una de las tres personas son las siguientes:

Amanda: 19 bolitas

Rodrigo: 15 bolitas

Patricio: 69 bolitas

En este problema tenemos a tres personas (Amanda, Rodrigo y Patricio) que se reparten 103 bolitas, en términos algebraicos, cada persona es representada por las siguientes ecuaciones:

Amanda

x = y + 4

Rodrigo

y

Patricio

z = 2 · (x + y) + 1

Total

x + y + z = 103

A continuación, determinamos la cantidad de bolitas asociada con Rodrigo:

x + y + 2 · (x + y) + 1 = 103

3 · x + 3 · y = 102

x + y = 34

y + 4 + y = 34

2 · y = 30

y = 15

Luego, determinamos las cantidades de bolitas de Amanda y Patricio:

x = 15 + 4

x = 19

z = 2 · (19 + 15) + 1

z = 2 · 34 + 1

z = 68 + 1

z = 69

El enunciado se encuentra escrito en español y el lenguaje de la respuesta es el mismo del enunciado.

The statement is written in Spanish and the language used in the answer is the same of the statement.

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Answer:

The claim that less than 50% of internet users get their health questions answered online is correct, given that according to the survey, 45.98% of people do.

Step-by-step explanation:

Since an online health and medicine company claims that about 50% of Internet users would go to an online sight first for information regarding health and medicine, and a random sample of 1318 Internet users was asked where they will go for information the next time they need information about health or medicine; 606 said that they would use the Internet, to test the claim that less than 50% of Internet users get their health questions answered online, the following calculation must be performed:

1318 = 100

606 = X

606 x 100/1318 = X

60600/1318 = X

45.978 = X

Therefore, the claim that less than 50% of internet users get their health questions answered online is correct, given that according to the survey, 45.98% of people do.

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)