A guidance counselor wants to determine if there is a relationship between a student’s number of absences, x, and their grade point average (GPA), y. He collects data for 15 randomly selected students and determines the value for s was 0.67.

False. In the position coordinate system, P(r,θ), r represents the radial coordinate, while θ represents the angular coordinate, not the transverse coordinate.

The transverse coordinate is typically denoted by z and is used in three-dimensional Cartesian coordinates (x,y,z) to represent the position of a point in space.

In polar coordinates, such as P(r,θ), r represents the distance from the origin to the point, while θ represents the angle between the positive x-axis and the line connecting the origin to the point. Together, they determine the position of a point in a two-dimensional plane. The radial coordinate gives the distance from the origin, while the angular coordinate determines the direction or orientation of the point with respect to the reference axis.

Learn more about Coordinates here:

brainly.com/question/32836021

#SPJ11

Answer:

-3

Step-by-step explanation:

-5 1/2 + 6 3/4 - 4 1/4

= 1 1/4 - 4 1/4

= -3

(5) The area of trapezium is 833.85 m².

(6) The area of the square is 309.76 mm².

(7) The area of the parallelogram is 148.2 yd².

(8) The area of the semicircle is 760.26 in².

(9) The area of the rectangle is 193.52 ft².

(10) The area of the right triangle is 183.74 in².

(11) The area of the isosceles triangle is 351.52 cm².

The area of the figures is calculated as follows;

area of trapezium is calculated as follows;

A = ¹/₂ (38 + 13) x 32.7

A = 833.85 m²

area of the square is calculated as follows;

A = 17.6 mm x 17.6 mm

A = 309.76 mm²

area of the parallelogram is calculated as follows;

A = 19 yd  x 7.8 yd

A = 148.2 yd²

area of the semicircle is calculated as follows;

A = ¹/₂ (πr²)

A =  ¹/₂ (π x 22²)

A = 760.26 in²

area of the rectangle is calculated as follows;

A = 16.4 ft x 11.8 ft

A = 193.52 ft²

area of the right triangle is calculated as follows;

based of the triangle = √ (29.1² - 14.6²) = 25.17 in

A = ¹/₂ x 25.17 x 14.6

A = 183.74 in²

area of the isosceles triangle is calculated as follows;

height of the triangle =  √ (30² - (26/2)²) = √ (30² - 13²) = 27.04 cm

A =  ¹/₂ x 26 x 27.04

A = 351.52 cm²

Learn more about area here: https://brainly.com/question/25292087

#SPJ1

A linear system with 3 equations and 4 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form can be solved.

A mathematical representation of a system based on the application of a linear operator is known as a "linear system" in systems theory. Ordinarily, compared to nonlinear systems, linear systems display much simpler features and properties. The automatic control theory, signal processing, and telecommunications all heavily rely on linear systems as a mathematical abstraction or idealisation.

Linear systems, for instance, are frequently used to model the propagation medium for wireless communication systems. An operator, H, that converts an input, x(t), into an output, y(t), a kind of black box description, can be used to describe a general deterministic system.

The superposition principle, or alternatively both the additivity and homogeneity properties, must be satisfied by a system to be considered linear, and only then.

Learn more about linear system

https://brainly.com/question/28977228

#SPJ4

Answer:

11700

Step-by-step explanation:

How do you turn 117 into a percent? well

117 as a percentage of a certain number x can be calculated by dividing 117 by x, and multiplying the result by 100. For example, 117 as a percentage of 10 = (117 / 10) x 100% = 1170%. I hope you get it

The percentage of the counters are green is 75 percent.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, there are 156 counters in a container and 117 of the counters are green.

Here, percentage = 117/156 ×100

= 0.75×100

= 75%

Therefore, the percentage of the counters are green is 75 percent.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Answer:

41

Step-by-step explanation:

If the shopkeeper needs 820 candles, and each packet has 20 candles, 820/20 = 41 packets.

Answer:

Step-by-step explanation:

if the shopkeeper needs 820 candles,

each packet has 20 candles

820/20=41

he needs to buy 41 packets  

Answer:

C is correct

Step-by-step explanation:

Answer:

86

Step-by-step explanation:

1. Find the third interior angle of the triangle.

All angles in a triangle have a sum of 180 degrees. So, to find the third angle add the first two measurements and subtract their sum from 180.

28 + 58 = 86

180 - 86 = 94.

2. The inner angle and the outer angle are supplementary, meaning their sum is 180.

Subtract the inner angle's measurement from 180 to get the answer.

180 - 94 = 86

Answer:

Step-by-step explanation:

Let x be the total number of apples Winston has.

He shipped 4/5 x of the apples to sell.

He only sold 3/5 of the 4/5 x apples he wanted to sell

Therefore, he sold 12/25 or 48% of his total apples for $840 dollars.

Because we don't know the price of each apple, we cannot know how many apples Winston kept.

We can know the theoretical price of his apples though.

if 48% of x = $840

20 % of x = $840/2.4

so he kept $350 worth of apples. or %20 of his total apples

Function transformation involves changing the form of a function.

The parent absolute value function is:

\(f(x) = |x|\)

If the parent function is shifted up by 1 unit, then the equation of the function would be

\(f(x) = |x| + 1\)

If the parent function is shifted right by 1 unit, then the equation of the function would be

\(f(x) = |x - 1|\)

If the above functions are stretched horizontally by a factor of 1/3, then the new functions would be

\(f(x) = 3|x| + 1\)

\(f(x) = 3|x - 1|\)

Read more about function transformation at:

https://brainly.com/question/1548871

Based on the common factors of 24 and 36, the possible numbers of friends to whom the cadburies and snikers can be equall distributed include 2, 3, 4, 6 and 12.

Common factors of two numbers are the numbers that can divide them equally without leaving a remainder.

Common factors are quotients obtained from the division of a number when there is no remainder.

The number of snikers distributed at Bishwant's birthday = 24

The number of cadburies distributed equally at Bishwant's birthday = 36

The common factors of 24 and 36 are 2, 3, 4, 6 and 12 because each of the five numbers can divide 24 and 36 without a remainder.

Learn more about common factors at https://brainly.com/question/495636.

#SPJ1

It is feasible to distribute the Snickers and Cadbury chocolates evenly to the following numbers of friends: 1, 2, 3, 4, 6, and 12.

We must determine the 24 and 36 common factors.

The numbers 1, 2, 3, 4, 6, 8, 12, and 24 make up the number 24.

1, 2, 3, 4, 6, 9, 12, 18, and 36 make up the number 36.

The total number of friends must be a common factor of both 24 and 36 in order to distribute the chocolates equitably. 1, 2, 3, 4, 6, and 12 are the common factors.

Therefore, It is feasible to distribute the Snickers and Cadbury chocolates evenly to the following numbers of friends: 1, 2, 3, 4, 6, and 12.

Learn more about common factors here : brainly.com/question/25266622

#SPJ1

Answer:

2223

Step-by-step explanation:

We need to find the value of 2021-2223+2425.

Firstly subtract 2223 from 2021.

2021-2223 = -202

Now add -202 and 2425. So,

2425 +(-202) = 2223

So, the value of 2021-2223+2425 is 2223. Hence, this is the required solution.

The probability of spinning a 1 is the same for both spinners: False​

The spinners that complete the question are added as an attachment

From the attached figures, we  have

Spinner 1

Number of 1 = 1

Sections = 4

Spinner 2

Number of 1 = 2

Sections = 6

The probability of obtaining 1 is calculated as

P(1) = Number of 1/Sections

So, we  have

Spinner 1

Number of 1 = 1

Sections = 4

P(1) = 1/4

Spinner 2

Number of 1 = 2

Sections = 6

P(1) = 2/6

By comparison

1/4 and 2/6 do not have the same value

Hence. it is false that the probability of spinning a 1 is the same for both spinners

Read more about probability at

https://brainly.com/question/251701

#SPJ1

Answer:

Using Newton's Method, the points of intersection between f(x) = x^6 and g(x) = cos(x) are approximately (0.8241, f(0.8241)) and (2.3111, f(2.3111)), where f(x) = x^6.

To find the points of intersection of the graphs of f(x) = x^6 and g(x) = cos(x), we can solve the equation h(x) = f(x) - g(x) = x^6 - cos(x) = 0.

Explanation:

We will use Newton's Method to approximate the x-value(s) of intersection. The formula for Newton's Method is:

x_n+1 = x_n - f(x_n)/f'(x_n)

where x_n is the nth approximation of the root, f(x_n) is the function evaluated at x_n, and f'(x_n) is the derivative of the function evaluated at x_n.

Let h(x) = x^6 - cos(x), then

h'(x) = 6x^5 + sin(x)

Now we need to choose a starting value for x. By graphing the two functions, we can see that there are two points of intersection in the interval [0,1]. Let's choose x = 0.5 as our starting value.

x_0 = 0.5

x_1 = x_0 - h(x_0)/h'(x_0) = 0.5352

x_2 = x_1 - h(x_1)/h'(x_1) = 0.8656

x_3 = x_2 - h(x_2)/h'(x_2) = 0.8249

x_4 = x_3 - h(x_3)/h'(x_3) = 0.8241

Thus, the approximate value of the first intersection point is x = 0.8241.

Now we need to find the second intersection point. By graphing the two functions, we can see that there is another intersection point in the interval [2,3]. Let's choose x = 2.5 as our starting value.

x_0 = 2.5

x_1 = x_0 - h(x_0)/h'(x_0) = 2.3214

x_2 = x_1 - h(x_1)/h'(x_1) = 2.3111

x_3 = x_2 - h(x_2)/h'(x_2) = 2.3111

Thus, the approximate value of the second intersection point is x = 2.3111.

Therefore, the points of intersection of the two graphs are approximately (0.8241, f(0.8241)) and (2.3111, f(2.3111)), where f(x) = x^6.

Hope this helps you in some way! I'm sorry if it doesn't. If you need more help, ask me! :]

Answer:

the answer is -1

Step-by-step explanation:

I took the quiz

If a nonlinear system of equations contains one linear function that touches the quadratic function at its minimum, then the system has exactly one solution.

This is because the linear function intersects the quadratic function at its minimum point, where there is only one value of x that satisfies both equations.
If a nonlinear system of equations contains one linear function that touches the quadratic function at its minimum, then the system has one unique solution.
Here's a step-by-step explanation:
1. A nonlinear system is a set of equations where at least one of the equations is not linear.
2. In this case, the nonlinear system contains one linear function and one quadratic function.
3. The quadratic function has a minimum point, which is the lowest point of its parabolic graph.
4. The linear function touches the quadratic function at its minimum, which means they intersect at exactly that point.
5. Since the two functions intersect at one point, the system has one unique solution, which corresponds to the coordinates of that intersection point.

Visit here to learn more about quadratic function:

brainly.com/question/30929439

#SPJ11

Function: A mathematical relationship that assigns each input value to a unique output value.

Combined Function: A function formed by applying one function to the output of another function.

Quadratic Function: A function with a polynomial equation of degree 2, represented as f(x) = ax² + bx + c, where a, b, and c are constants.

We have,

Function:

A function is a mathematical relationship or rule that assigns each input value (or element) from a set, called the domain, to a unique output value (or element) from another set, called the range.

Example:

Let's consider a function f(x) = 2x + 3.

This function takes an input value (x), multiplies it by 2, and then adds 3 to get the output value.

For example, if we input x = 4 into the function, we get f(4) = 2(4) + 3 = 11. So, the function maps the input value 4 to the output value 11.

Combined Function:

A combined function is formed by performing multiple operations on a given input value. It involves applying one function to the output of another function.

This allows us to express complex relationships between variables by combining simpler functions.

Example:

Let's consider two functions: f(x) = 2x and g(x) = x².

The combined function h(x) is formed by applying g(x) to the output of f(x). In other words, h(x) = g(f(x)).

If we input x = 3 into the combined function, we first evaluate f(x) = 2(3) = 6, and then evaluate g(6) = 6² = 36. So, h(3) = 36.

Quadratic Function:

A quadratic function is a type of function that can be represented by a polynomial equation of degree 2.

It has the general form f(x) = ax² + bx + c, where a, b, and c are constants.

The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the value of the coefficient "a".

Example:

Let's consider the quadratic function f(x) = 2x² - 3x + 1.

This function has a coefficient of 2 for the x^2 term, -3 for the x term, and 1 for the constant term.

If we input x = 2 into the function,

We get f(2) = 2(2)² - 3(2) + 1 = 8 - 6 + 1 = 3.

So, the function maps the input value 2 to the output value 3.

The graph of this quadratic function is a parabola that opens upwards.

Thus,

Function: A mathematical relationship that assigns each input value to a unique output value.

Combined Function: A function formed by applying one function to the output of another function.

Quadratic Function: A function with a polynomial equation of degree 2, represented as f(x) = ax² + bx + c, where a, b, and c are constants.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

The options provided are geometric terms commonly used in relation to triangles. Let's explore each of them and determine which ones describe the properties of the given term, "Perpendicular bisector of."

1. Perpendicular bisector: A perpendicular bisector is a line or segment that intersects another line segment at a 90-degree angle and divides it into two equal parts. It is important to note that a perpendicular bisector can be drawn for any line segment, not just limited to triangles. It does not specifically describe any particular property of a triangle.

2. Angle bisector: An angle bisector is a line or ray that divides an angle into two equal parts. It is commonly used in triangles to bisect one of the interior angles. While angle bisectors are associated with triangles, they are different from the perpendicular bisector.

3. Median: A median of a triangle is a line segment that connects a vertex of the triangle to the midpoint of the opposite side. Each triangle has three medians, and they intersect at a point called the centroid. Medians are distinct from perpendicular bisectors.

4. Altitude: An altitude of a triangle is a line segment drawn from a vertex perpendicular to the opposite side (or its extension). It determines the height of the triangle. Each triangle has three altitudes. Altitudes are distinct from perpendicular bisectors.

Based on the explanations provided above, the terms "Perpendicular bisector of," "Median of," and "Altitude of" all represent different geometric concepts related to triangles. Therefore, the correct answer is:

- Perpendicular bisector of

- Median of

- Altitude of

To know more about Median visit-

brainly.com/question/28060453

#SPJ11

Answer:

7%

Step-by-step explanation:

Perimeter of a rectangle

P = 2(w + l)

where:

Given:

Therefore, the perimeter of the original rectangle is:

⇒ P = 2(30 + 20)

⇒ P = 2(50)

⇒ P = 100 cm

If the width is increased by 5%:

⇒ new width = 30 × 1.05 = 31.5 cm

If the length is increased by 10%:

⇒ new length = 20 × 1.1 = 22 cm

Therefore, the new perimeter will be:

⇒ P = 2(31.5 + 22)

⇒ P = 2(53.5)

⇒ P = 107 cm

Percentage Increase

\(\sf PI=\dfrac{final\:value-initial\:value}{initial\:value} \times 100\)

Substitute the values:

\(\begin{aligned} \implies \sf Percentage\:increase & = \sf \dfrac{new\:perimeter-original\:perimeter}{original\:perimeter} \times 100\\\\& = \sf \dfrac{107-100}{100} \times 100\\\\& = \sf 7\%\end{aligned}\)

Answer 4.3

Step-by-step explanation:

gave up on delta math

Answer:

4.3

Step-by-step explanation:

In ΔDEF, d = 6.4 inches, e = 7.8 inches and ∠F=33°. Find the length of f, to the nearest 10th of an inch.

D

E

F

d = 6.4

e = 7.8

33°

S.A.S.

→

Law of Cosines

S.A.S.→Law of Cosines

�

2

=

�

2

+

�

2

−

2

�

�

cos

⁡

�

a

2

=b

2

+c

2

−2bccosA

From reference sheet.

�

2

=

6.

4

2

+

7.

8

2

−

2

(

6.4

)

(

7.8

)

cos

⁡

33

f

2

=6.4

2

+7.8

2

−2(6.4)(7.8)cos33

Plug in values.

�

2

=

40.96

+

60.84

−

2

(

6.4

)

(

7.8

)

(

0.838671

)

f

2

=40.96+60.84−2(6.4)(7.8)(0.838671)

Square and find cosine.

�

2

=

40.96

+

60.84

−

83.73287

f

2

=40.96+60.84−83.73287

Multiply.

�

2

=

18.06713

f

2

=18.06713

Add.

�

=

18.06713

≈

4.251

≈

4.3

f=

18.06713

​

≈4.251≈4.3

Square root and round.

Your Solution:

Answer:

The length of the arc is \(\frac{5\pi}{3}\) centimeters.

Step-by-step explanation:

The length of an arc (\(\Delta s\)) with a given central angle is determined by the following expression:

\(\Delta s = \frac{\theta}{360^{\circ}}\cdot 2\pi\cdot r\)

Where:

\(r\) - Radius, measured in centimeters.

\(\theta\) - Central angle, measured in sexagesimal degrees.

Given that \(r = 5\,cm\) and \(\theta = 60^{\circ}\), then:

\(\Delta s = \frac{60^{\circ}}{360^{\circ}} \times 2\pi \times 5\,cm\)

\(\Delta s = \frac{5\pi}{3}\,cm\)

The length of the arc is \(\frac{5\pi}{3}\) centimeters.

Answer:

The coordinates of Elena's house is (4,-2)

Answer:

he got it

Step-by-step explanation:

Answer is 60 times.

Explanation:

Prime numbers in a die are 2, 3 and 5 (i.e. 3 numbers)

Total outcomes can be 1, 2, 3, 4, 5 and 6 (i.e. 6 numbers)

Probability

= Number of preferred outcomes/ Total number of outcomes

= 3/6

= 1/2

= 0.5

Probability of getting a prime number while throwing the dice 120 times

= 0.5 × 120

= 60 times

The time it will take Vincent to complete a lap at each pace of running and walking is 3 minutes and 4 minutes respectively?

Let

Vincent requires 40 minutes to do 4 laps running and 7 laps walking:

4x + 7y = 40

Vincent requires 18 minutes to do 2 laps running and 3 laps walking:

2x + 3y = 18

Solve the equation simultaneously

4x + 7y = 40

2x + 3y = 18

multiply (2) by 2

4x + 6y = 36

4x + 7y = 40

4x + 6y = 36

Subtract the equation to eliminate x

y = 4 minutes

substitute y = 4 into equation (2)

2x + 3y = 18

2x + 3(4) = 18

2x + 12 = 18

subtract 12 from both sides

2x = 18 - 12

2x = 6

divide both sides by 2

x = 6/2

x = 3 minutes

Therefore, it takes Vincent 3 minutes to complete a lap running and 4 minutes to complete a lap walking.

Complete question:

to keep in shape vincent exercises at track near his home. he requires 40 minutes to do 4 laps running and 7 laps walking . in contrast he requrires 18 minutes to do 2 laps walking assuming he maintains a consistent pace while running and while walking how long doses vincent take complate a lap at each pace

Read more on simultaneous equation:

https://brainly.com/question/21529505

#SPJ1

The number 27 they found for all incoming freshmen at the university is a parameter. It's a parameter because it's a number that states the entire population of all incoming freshmen.

What is Parameter?

Parameter itself is a useful component of statistical analysis because parameter is a number that describes a whole population, while statistic is numbers that describe a samples. For example, you want to know the average length of frog tongue. This is a parameter because it is states something about the entire population of frog. The most commonly used parameters are the measures of central tendency. These measures include:

Learn more about Parameter and Statistic here: https://brainly.com/question/13794992

#SPJ4

Answer:

∠ QRS = 132°

Step-by-step explanation:

Since the triangle is isosceles then the 2 base angles are congruent, that is

∠ PQR = ∠ PRQ = \(\frac{180-84}{2}\) = \(\frac{96}{2}\) = 48°

∠ PRQ and ∠ QRS are adjacent angles , so

∠ QRS = 180° - 48° = 132°

The second nugget weighs 100 times as much as the first nugget.

To determine how many times as much the second gold nugget weighs compared to the first nugget, we need to calculate the ratio of their weights.

The weight of the first nugget is given as 0.008 ounces, and the weight of the second nugget is 0.8 ounces. To find the ratio, we divide the weight of the second nugget by the weight of the first nugget:

Ratio = Weight of second nugget / Weight of first nugget

Ratio = 0.8 ounces / 0.008 ounces

Simplifying the division:

Ratio = 100 ounces / 1 ounce

Therefore, the second nugget weighs 100 times as much as the first nugget.

To clarify the explanation:

The weight ratio is determined by dividing the weight of the second nugget (0.8 ounces) by the weight of the first nugget (0.008 ounces). By performing this division, we find that the second nugget weighs 100 times as much as the first nugget.

Learn more about Ratio

brainly.com/question/13419413

#SPJ11

Answer:

THX FOR AWNSERING

Step-by-step explanation: