What is the answer ?

Answer:

-0.19

a correlation coefficient is a measure of how...

By the Pigeonhole Principle, in a class of 35 students, at least two of them have last names starting with the same letter.

To show that in a class of 35 students, at least two of them have last names that begin with the same letter, we can apply the Pigeonhole Principle.

The Pigeonhole Principle states that if you distribute n items into m containers, and n > m, then at least one container must contain more than one item.

In this case, we can think of each student's last name as an item, and the letters of the alphabet as the containers. Since there are 26 letters in the English alphabet, and we have 35 students in the class, we have more students than the number of available letters.

By applying the Pigeonhole Principle, we conclude that at least two students must have last names that begin with the same letter. This is because there are more students (35) than the number of available letters (26), so it is impossible to assign each student a unique letter as the first letter of their last name. Therefore, there must be at least one letter shared by two or more students in the class.

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Answer:

a) 11

b) 9

Step-by-step explanation:

a) x=4  y=3

2x+y

2(4)+(3)

8+3

=11

b) a=-2  b=5

a^2+b

(-2)^2+(5)

4+5

=9

Answer:

a.) 2x+y

2(4)+3

8+3=11

b.) a^2+b

(-2)^2+5

4+5=9

Step-by-step explanation:

Answer:

14:45

Step-by-step explanation:

14:45 (+1hr = 15:45)
15:45 (+45 mins = 16:30

Answer:

14: 45

Step-by-step explanation:

Add :

→ (√5 + 2√2) & (√2 - 5√3)

→ (√5 + 2√2) + (√2 - 5√3)

Removing the brackets.

→ √5 + 2√2 + √2 - 5√3

→ √5 + (2 + 1)√2 - 5√3

→ √5 + 3√2 - 5√3

Therefore, the required answer is √5 + 3√2 - 5√3.

Answer:

Step-by-step explanation:

So, first you add the four exam percentage which will be 314 then you multiply 80 and 5. We use 5 because there are total 5 exams which will give the mean of 80%. After you get the answer for 80x5 which will be 400. Then you do, 400 - 314 which will be 86. So, the answer is 86%. To figure out if that answer is right, You add all the scores percentage and divide that by 5 and you should get 80%.

To have an overall mean of 80% after five exams, the student needs to score 88% on the next exam.

To find the student's overall mean, we need to add up all the scores and divide by the number of exams.

We have 4 exams scores:84%, 71%, 86%, and 73%.

Therefore, the total of the four exam scores is:

84% + 71% + 86% + 73% = 314%

To find the overall mean after five exams, the total score after five exams should be 5 × 80% = 400%.

Therefore, to have an overall mean of 80%, the student must score (400 - 314)% on the fifth exam, which is equivalent to: 86%.

Hence, the student needs to score 86% on the next exam to have an overall mean of 80%.

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Hannah's debt-to-equity ratio when her liabilities was $30,000 (excluding her mortgage of $100,000 ) and her net worth is $45,000 is 0.75.

Debt-to-equity ratio is a financial ratio that measures the proportion of total liabilities to shareholders' equity. To calculate the debt-to-equity ratio for Hannah, we need to first calculate her total liabilities and shareholders' equity.

We are given that Hannah has liabilities of $30,000 excluding her mortgage of $100,000. Therefore, her total liabilities are $30,000 + $100,000 = $130,000.

We are also given that her net worth is $45,000. The net worth is calculated by subtracting the total liabilities from the total assets. Therefore, the shareholders' equity is $45,000 + $130,000 = $175,000.

Now we can calculate the debt-to-equity ratio by dividing the total liabilities by the shareholders' equity.

Debt-to-equity ratio = Total liabilities / Shareholders' equity = $130,000 / $175,000 = 0.74 (rounded to two decimal places)

Therefore, Hannah's debt-to-equity ratio is 0.74, which is closest to option 0.75.

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Answer:

Slope= -1/2

Step-by-step explanation:

First find 2 points on the line and plug them into the slope formula

(-3,0) and (1, -2)

Slope =(y2−y1)/(x2−x1)

(−2−0)/(1--3)

-2/4

-1/2

Hope This helps!  Plz give brainiest! :)

Answer:

the slope is \(-\frac{1}{2}\)

Step-by-step explanation:

The slope is the 'rise' divided by the 'run'

so pick any 2 points on the line.

First, look at the left point and read its x and y coordinates (x is 'run' or left-right and y is 'rise' or up-down)

Then, look at the 2nd point and compare how many units to the right it 'ran' and how many units up it 'rose'

slope='rise'/'run'

so in your case

pick 2 convinent points

I pick (-3,0) and (-1,-1)

from (-3,0) to (-1,-1),  'rose' by -1 units (-1-0=-1) and the points 'ran' to the right 2 units (-1-(-3)=2)

therefore, the slope is 'rise'/'run'=-1/2

alternately, use the formula \(m=\frac{y_2-y_1}{x_2-x_1}\) where \(m\) is the slope and the 2 points are \((x_1,y_1)\) and \((x_2,y_2)\)

in this case, (-3,0) and (-1,-1)

\(x_1=-3\)

\(y_1=-0\)

\(x_2=-1\)

\(y_2=-1\)

subsitute

\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-0}{-1-(-3)}=-\frac{1}{2}\)

Answer:

Slope = -1/4

Y-intercept = 50

Step-by-step explanation:

Change in y/ change in x = slope

75/-100 = -1/4

For y, the numbers decrease 25 each time so the change in y is -25.

For x, the numbers increase 100 each time so the change in x would be 100.

The fraction you have left is -25/100

Now, you simplify -25/100 and you get -1/4.

The y-intercept is 50 because x is 0 at the same time in the chart.

i solved it

you graph it :)

The value of x from the given linear equation x/3-3=x/9+3 is 27.

What is linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

Given equation

x/3-3=x/9+3

=> x/3-x/9=3+3

=>(3x-x)/9=6

=>2x/9=6

=> x=9*6/2

x=27.

Therefore, the value of x from the given linear equation is 27.

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Answer:

-1,250

Step-by-step explanation:

its multiplying by 5

Answer:

Next term = -1250.

Step-by-step explanation:

Difference = x5

-250 x 5 = -1250.

Answer:

  D(-7, -5)

Step-by-step explanation:

There are a couple of ways to figure this.

1) When the rectangle is aligned with the axes, as this one is, each coordinate value shows up twice. In the given list, x-values of 3 are repeated, but -7 is not, so the x-coordinate is -7.

The y-values of -2 are repeated, but -5 is not, so the y-coordinate is -5.

The coordinates of point D are (-7, -5).

__

2) The midpoint of diagonal AC is the same as the midpoint of diagonal BD, so the sum of coordinates at the ends of the diagonals will be the same:

  A+C = B+D

Subtracting the coordinates of B from the sum of A and C will give you the coordinates of D:

  D = A +C -B = (-7, -2) +(3, -5) -(3, -2) = (-7+3-3, -2-5+2)

  D = (-7, -5)

_____

Comment on the solution

The second approach works with any parallelogram, rhombus, rectangle, or square--any figure in which the diagonals bisect each other. The figure does not have to be aligned with the axes, as it does in the first approach.

Answer:

x -2x and the y is -2y

Step-by-step explanation:

The radius of the circle is given as 9

To rewrite the equation of the circle from general form to standard form, we need to complete the square for both x and y terms.

x^2 - 18x + y^2 + 14y + 84 = 0 (Given)

To complete the square for x, we need to add and subtract the square of half the x coefficient (i.e., (18/2)^2 = 81) inside the parentheses:

x^2 - 18x + 81 + y^2 + 14y + 84 - 81 = 0

(x - 9)^2 + (y + 7)^2 - 81 = 0

(x - 9)^2 + (y + 7)^2 = 81

This is the standard form of the equation of a circle, where the center is located at (9, -7) and the radius is √81 = 9.

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Answer:

The range of the graph is:

-∞ <  y < 2

Hence, option C is correct.

Step-by-step explanation:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

From the given graph, we can easily observe the vertical extent of the graph is all range values  between -∞ and 2.

In other words,

The range of the function lies in the interval: ( -∞, 2)

Therefore, the range of the graph is:

-∞ <  y < 2

Hence, option C is correct.

Answer:

y= \(\frac{5}{6} x\) + 4

Step-by-step explanation:

Pick two points: (-6,-10) and (0,4)

Then solve for m (slope): I picked (0,4)

\(m= \frac{4-(-1)}{0-(-6)} =\frac{5}{6}\)

Then put in slope intercept form:

4= \(\frac{5}{6} (0)\) + b

4=b

Then put in final form:

y= \(\frac{5}{6} x\) + 4

Hope this helps!

Answer:

y=5/6x+4

Step-by-step explanation:

Answer:

B) 9/2

Step-by-step explanation:

18 yards would be 54 feet

54:12  Divide both numbers by 6

9:2

The big O notation for the given code fragment with nested loops is O(n log n), indicating that the runtime grows proportionally to the product of the input size and its logarithm.

The big O notation for the given fragment can be determined by analyzing the nested loops.

The outer loop runs for every power of 2 from 1 to n, which is log₂(n) iterations.

The inner loop runs for n iterations regardless of the value of n.

Therefore, the total number of iterations can be calculated as the product of the iterations of the outer and inner loops, which is O(n log n).

In big O notation, the dominant term is the one that grows fastest as the input size (n) increases. In this case, the log n term dominates over the linear term, so the big O notation for the fragment is O(n log n).

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The given statement "If the degree of the numerator of a rational function equals the degree of the denominator, then the ratio of the leading coefficients give rise to the horizontal asymptote." is true.

Given information

The given information is " If the degree of the numerator of a rational function equals the degree of the denominator, then the ratio of the leading coefficients give rise to the horizontal asymptote. "

We know that for a rational function having the same degree of the numerator and the denominator the horizontal asymptotes is equal to the ratio of leading coefficients of the numerator to that of the denominator.

Thus, the given statement is true.

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Answer:

the answer is false .

Step-by-step explanation:

Answer:

Inequality form: x < 1

Step-by-step explanation:

Answer:

MP= 23

Step-by-step explanation:

I don't know the second one

Answer:

is this algebra

Step-by-step explanation:

Answer:

1.)

A.) The graph does represent a proportional relationship because if you calculate the slope, it's 2/3, which is consistent throughout the line and with the given points.

Slope calculation:

\(\frac{y2-y1}{x2-x1} \\\\\frac{6-4}{9-6} \\\\\frac{2}{3}\)

B.) The coordinate (0,0) represents that no laps have been completed nor has the time started

C.) The coordinate I chose is (6,4). It represents that 4 laps were completed in 6 minutes

2.) The values to represent a proportional relationship because once calculating the slope, which is 13, you can try it with other points. Even though there's some values missing between (6,78) and (10,130), the slope remains the same.

Slope Calculation:

\(\frac{y2-y1}{x2-x1} \\\\\frac{130-39}{10-3} \\\\\frac{91}{7} \\\\\frac{13}{1}\)

3.)

A.) The constant of proportionality is 7/4 or 1.75

B.) y = 7/4x

4.) She'll run 8 miles because since 3/4 of an hour equates to 6 miles and there's 1/4 missing, 2 miles is 1/3 of 6 miles and 1/4 is 1/3 of 3/4 , so 1/4+1/4+1/4 = 3/4. She can run 8 miles (4*2) in 1 hour (4*1/4 hour)

Answer:

The first option.... The one with the blue dot I guess you have chosen that

Answer:

Frictional force (F(frict)) = 17.1 N

Normal force (F(norm)) = 78.0 N

Gravitational force (F(grav)) = 63.7 N

Acceleration (a) = 1.2 ms⁻²

Step-by-step explanation:

Newton's second law:

\(\boxed{F_{net}=ma}\)

where:

Use trigonometry to resolve the 28.5 N force into its horizontal and vertical components since it is acting on the particle at 30°:

\(\implies F_x=28.5 \cos 30^{\circ}\)

\(\implies F_y=28.5 \sin 30^{\circ}\)

Due to the particle's mass, m, and the acceleration due to gravity, g:

\(\boxed{W=mg}\)

Given:

\(\begin{aligned}W & = mg\\\implies W & = 6.5 \times 9.8\\W & = 63.7\;\sf N\end{aligned}\)

The particle is moving parallel to the plane (the horizontal), so acceleration perpendicular to the plane is zero.

Resolving forces vertically (taking ↑ as positive):

\(\begin{aligned}F & = ma\\\implies R-W-28.5 \sin 30^{\circ}&=6.5 \times 0\\R-W-28.5 \sin 30^{\circ}&=0\\R & = W+28.5 \sin 30^{\circ}\\R & = 6.5(9.8)+28.5(0.5)\\R & = 63.7+14.25\\R & = 77.95\\R & = 78.0 \;\; \sf N\; (1\:d.p.)\end{aligned}\)

When a moving object is acted on by a frictional force, fiction is limiting, and the frictional force F is at its maximum value:

\(\boxed{F = \mu R}\)

(Where μ is the coefficient of friction and R is the normal reaction).

\(\begin{aligned}F & = \mu R\\\implies F & = 0.22 \times 77.95\\F & = 17.149\\F & = 17.1 \;\; \sf N\;(2\:d.p.)\end{aligned}\)

Friction always acts in the opposite direction to motion (or potential motion).

Resolving forces horizontally (taking → as positive):

\(\begin{aligned}F & = ma\\\implies 28.5 \cos 30^{\circ}-F & = 6.5a\\28.5 \left(\dfrac{\sqrt{3}}{2}\right)-17.149 & = 6.5a\\\dfrac{57\sqrt{3}}{4}-17.149 & = 6.5a\\7.532724008 & = 6.5a\\a & = 1.158880617\\a & = 1.2\; \sf ms^{-2}\;\;(1\:d.p.)\end{aligned}\)

trust me the answer is false :)

Answer:

No they are not, false

Step-by-step explanation:

We know that if the diagonals are perpendicular then they cut at 90 degrees  but in rectangles, the diagonals dont cut at 90 degrees. Hence the statement is false.

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Answer: Find the the height and length of the triangle. I'm not sure what it would be but then use a1  + a2 to find the area

Answer:

Formula of triangle: A = 1/2 x b x h

Step-by-step explanation:

Solve the base of the triangle by solving the distance between points (-2,0) and (f, -5) in units, and then do the same for height: find distance between points (-2, 6) and (-2, 0). Once you find the distance, input value of base and height into the formula and solve to get the area!

Answer:

divide 11 by 1. the answer would be 0.0909

Step-by-step explanation:

if you have a graphing calculator then you have the option to put it in as a fraction and then you would put it into a decimal. and if not then you could do it on paper.

Answer:

Infinite solutions

Step-by-step explanation:

Equation 1:

4x-6y=4

3(4x-6y=4)

12x-18y=12

Equation 2

(12x-18y=12)/3

4x-6y=4

They are the same equation, therefore, there are infinite solutions