a student willing to participate in a debate competition is required to fill out a registration form. answers to the follow questions on the form are what type of data?

Answers

Answer 1

A student willing to participate in a debate competition is required to fill out a registration form.

Form filling in two types of data i.e.,

Quantitative dataCategorical data

Quantitative data :

Quantitative data is data that can be counted or measured in numerical values. The two main types of quantitative data are discrete data and continuous data. Height in feet, age in years, and weight in pounds are examples of quantitative data. Qualitative data is descriptive data that is not expressed numerically.

Categorical data:

Categorical data is a collection of information that is divided into groups. i.e., if an organization or agency is trying to get a biodata of its employees, the resulting data is referred to as categorical.

a. What is your date of birth?

Quantitative.

b. Have you participated in any debate competition previously?

Categorical.

c. If yes, how many debate competitions have you participated so far?

Quantitative.

d. Have you won any of the competitions?

Categorical.

e. If yes, how many have you won?

Quantitative.

Learn more about Quantitative data at:

https://brainly.com/question/14810759

#SPJ4

The given question is incomplete, complete question is:

A student willing to participate in a debate competition required to fill a registration form. State

whether each of the following information about the participant provides categorical or quantitative

data.

a. What is your date of birth?

b. Have you participated in any debate competition previously?

c. If yes, how many debate competitions have you participated so far?

d. Have you won any of the competitions?

e. If yes, how many have you won?

Please write answer in two parts. A. Main answer (correctly paraphrased, addressing all aspect of the question) B. Explanation (Step-by-step explanation)


Related Questions

Beau is building 9 puppy bots and 6 kitty bots. Each bot needs 4 wheels. How many wheels does beau need in all

Answers

According to unitary method, Beau needs 60 wheels in all to build 9 puppy bots and 6 kitty bots.

The unitary method is a mathematical technique used to solve problems by finding the value of one unit and then calculating the value of the required quantity by multiplying or dividing it with the given value of units.

Given that each bot needs 4 wheels, we can find the number of wheels required to build one bot. Using the unitary method, we can say that one bot needs 4 wheels. Therefore, 9 puppy bots will need 9 times 4 wheels, which is 36 wheels.

Similarly, 6 kitty bots will need 6 times 4 wheels, which is 24 wheels. To find the total number of wheels required to build all the bots, we can add the number of wheels required for puppy bots and kitty bots

Total number of wheels required = 36 + 24 = 60

To know more about unitary method here

https://brainly.com/question/28276953

#SPJ4

What is the value of x?

Right triangle. Vertices are not labeled. The length of one side equals 18.15. The length of the second side equals 17.39. The length of the hypotenuse is unknown, and is labeled x.

Round your final answer to the nearest tenth.

Answers

Answer:

x=25.1

Step-by-step explanation:

by using Pythagorean theorem, [tex]a^{2} +b^{2}=c^{2}[/tex] where c is the hypotenuse

[tex]18.15^{2}[/tex]= 329.4225

[tex]17.39^{2}[/tex]= 302.4121

since those two side lengths are the legs, the sum of the numbers is the length of the hypotenuse squared

therefore, 631.8356 (the sum) = [tex]c^{2}[/tex]

by taking the square root of 631.8356, you will get approx 25.1 for the hypotenuse (aka x)

Last Friday, AT&T closed at $41.68. AT&T pays an annual dividend of $1.98. Calculate the dividend yield

Answers

Answer: The dividend yield is the annual dividend payment divided by the stock's current market price, expressed as a percentage.

Dividend yield = (Annual dividend payment / Stock's current market price) x 100%

In this case:

Annual dividend payment = $1.98

Stock's current market price = $41.68

Dividend yield = ($1.98 / $41.68) x 100% = 4.75%

Therefore, the dividend yield for AT&T is 4.75%.

Step-by-step explanation:

I need a bit of help please

Answers

The slope of the line in the reduced form is 4 / 7.

How to find the slope of a line?

The slope of a line is the change in the dependent variable with respect to the change in the independent variable.

Therefore,

slope = m = change in y / change in x

slope = m = y₂ - y₁ / x₂ - x₁

P = (2, 3)

Q = (9, 7)

x₁ = 2

x₂ = 9

y₁ = 3

y₂ = 7

Therefore,

slope = 7 - 3 / 9 - 2

slope = 4 / 7

learn more on slope here: https://brainly.com/question/26578510

#SPJ1

A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet. The letter selected will be recorded as the outcome. Consider the following events. Event X: The letter selected comes before "D". Event Y: The letter selected is found in the word "CAGE". Give the outcomes for each of the following events. If there is more than one element in the set, separate them with commas.

(a) Event "X or Y":

(b) Event "X and Y":

(c) The complement of the event X:

EXPLANATION/ANSWER

The sample space is the set of all possible outcomes.

In this case, the sample space is , A, B, C, D, E, F, G.

The event X is "The letter selected is found in the word "BEAD". "

The outcomes in this event are A, B, D, and E.

The event Y is "The letter selected comes after "D". "

The outcomes in this event are E, F, and G.

(a) Event "X or Y"

Outcomes in the event "

X or Y" are any outcomes from event X along with any outcomes from event Y.

So the outcomes in the event "X or Y " are A, B, D, E, F, and G. Event "X or Y": , A, B, D, E, F, G

(b) Event "X and Y"

The outcomes in the event "X and Y" are the outcomes from event X that also occur in event Y.

So the outcome in the event "X and Y" is E. Event "X and Y": E

(c) The complement of the event X

The complement of the event X is the event consisting of all possible outcomes not in the event X.

So the outcomes in the complement of the event X are C, F, and G

The complement of the event X: , C, F, G

(a) Event "X or Y": , A, B, D, E, F, G

(b) Event "X and Y": E

(c) The complement of the event X: , C, F, G

My problem that I am having trouble with:

A number cube with faces labeled 1 to 6 is rolled once.

The number rolled will be recorded as the outcome.

Consider the following events.

Event A: The number rolled is odd.

Event B: The number rolled is less than 4

Give the outcomes for each of the following events.

If there is more than one element in the set, separate them with commas.

(a) Event"A or B":

(b) Event"A and B":

(c) The complement of the event B:

Answers

Event "X or Y": A, B, C, E, G. Event "X and Y": C. The complement of event X: D, E, F, G.

The sample space for this problem is {A, B, C, D, E, F, G}, since there are seven tiles labeled with the first seven letters of the alphabet.

Event X: The letter selected comes before "D". Outcomes in this event are A, B, and C.

Event Y: The letter selected is found in the word "CAGE". Outcomes in this event are A, C, E, and G.

Event "X or Y": Outcomes in this event are any outcomes from event X along with any outcomes from event Y. So the outcomes in the event "X or Y" are A, B, C, E, and G.

Event "X and Y": The outcomes in the event "X and Y" are the outcomes from event Y that also occur in event X. So the only outcome in the event "X and Y" is C.

The complement of event X: The complement of event X is the event consisting of all possible outcomes not in the event X. So the outcomes in the complement of event X are D, E, F, and G.

To know more about complement of event:

https://brainly.com/question/30212841

#SPJ4

--The given question is incomplete, the complete question is given

" A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet. The letter selected will be recorded as the outcome. Consider the following events. Event X: The letter selected comes before "D". Event Y: The letter selected is found in the word "CAGE". Give the outcomes for each of the following events. If there is more than one element in the set, separate them with commas.

(a) Event "X or Y":

(b) Event "X and Y":

(c) The complement of the event X: "--

given are five observations for two variables, and . excel file: data14-25.xlsx the estimated regression equation is . a. what is the value of the standard error of the estimate (to decimals)?

Answers

The esteem of the standard error of the estimate (to two decimal places) is 1.34.

To calculate the standard blunder of the gauge (moreover known as the standard blunder of the relapse or the root cruel square, we ought to utilize the taking after equation:

SE = sqrt [ (Σ(y - yhat)[tex]^{2}[/tex]) / (n - k) ]

yhat = 0.471x + 2.606

We too know that there are 5 perceptions, and there's one free variable (x). Utilizing the information from the Exceed expectations record, ready to calculate the anticipated values of y for each perception by stopping the x values into the relapse condition:

yhat1 = 2.696

yhat2 = 3.638

yhat3 = 4.581

yhat4 = 5.524

yhat5 = 6.466

SE = sqrt [ ( (4.75 - 2.696)[tex]^{2}[/tex] + (5.36 - 3.638)[tex]^{2}[/tex]+ (5.95 - 4.581)[tex]^{2}[/tex] + (6.66 - 5.524)[tex]^{2}[/tex]+ (7.03 - 6.466)[tex]^{2}[/tex]) / (5 - 2) ]

SE = sqrt [ (5.3546) / 3 ]

SE = 1.335

To learn about standard error visit:

https://brainly.com/question/30667112

#SPJ4

 

PLEASE ANSWER ASAP
1. How many atoms are present in 8.500 mole of chlorine atoms?
2. Determine the mass (g) of 15.50 mole of oxygen.
3. Determine the number of moles of helium in 1.953 x 108 g of helium.
4. Calculate the number of atoms in 147.82 g of sulfur.
5. Determine the molar mass of Co.
6. Determine the formula mass of Ca3(PO4)2.
IT WOULD BE HELPFUL

Answers

The number of atoms present in 8.500 mole of chlorine atoms can be calculated using Avogadro's number, which is 6.022 x [tex]10^{23}[/tex] atoms per mole. Therefore:

Number of atoms = 8.500 mole x 6.022 x [tex]10^{23}[/tex]atoms/mole

Number of atoms = 5.1177 x [tex]10^{24}[/tex] atoms

Find out the mass (g) of 15.50 mole of oxygen?

The mass of 15.50 mole of oxygen can be calculated using the molar mass of oxygen, which is 16.00 g/mol. Therefore:

Mass = 15.50 mole x 16.00 g/mole

Mass = 248 g

The number of moles of helium in 1.953 x [tex]10^{8}[/tex] g of helium can be calculated using the molar mass of helium, which is 4.00 g/mol. Therefore:

Number of moles = 1.953 x [tex]10^{8}[/tex] g / 4.00 g/mol

Number of moles = 4.883 x [tex]10^{7}[/tex] mol

The number of atoms in 147.82 g of sulfur can be calculated using the molar mass of sulfur, which is 32.06 g/mol, and Avogadro's number. Therefore:

Number of moles = 147.82 g / 32.06 g/mol

Number of moles = 4.608 mol

Number of atoms = 4.608 mol x 6.022 x [tex]10^{23}[/tex] atoms/mol

Number of atoms = 2.773 x [tex]10^{24}[/tex] atoms

The molar mass of Co (cobalt) is 58.93 g/mol.

The formula mass of Ca3(PO4)2 can be calculated by adding the atomic masses of each element in the compound. The atomic masses are:

Ca = 40.08 g/mol

P = 30.97 g/mol

O = 16.00 g/mol

Formula mass = (3 x Ca) + (2 x P) + (8 x O)

Formula mass = (3 x 40.08 g/mol) + (2 x 30.97 g/mol) + (8 x 16.00 g/mol)

Formula mass = 310.18 g/mol

to know more about atoms

brainly.com/question/30898688

#SPJ1

Triangle PQR has vertex coordinates at P(4, 0), Q(4, 3), R(5, 1). If the triangle is translated so that Q′(4, −5), determine the translation direction and number of units.

8 units down
8 units up
8 units to the right
8 units to the left

Answers

Answer:

To determine the translation direction and number of units, we need to find the vector that connects Q to Q', and then determine the magnitude and direction of that vector.

The vector that connects Q to Q' can be found by subtracting the coordinates of Q from the coordinates of Q':

Q' - Q = (4, -5) - (4, 3) = (0, -8)

This vector indicates a translation 8 units downwards, in the negative y direction. Therefore, the translation direction is downwards and the number of units is 8.

So the correct answer is: 8 units down.

Final answer:

Triangle PQR was translated 8 units down.

Explanation:

In mathematics, particularly in the field of geometry, a translation refers to moving each point in a shape or a figure to a different position by sliding it to a certain direction for a fixed number of spaces. Each point is moved the same distance and in the same direction.

In the case of your Triangle PQR, the Q point moves from (4, 3) to the new coordinate Q'(4, -5). The x-coordinate in both points remains at 4. Hence, there's no left or right movement. But the y-coordinate changes from 3 to -5. This indicates a downward movement. The distance between 3 and -5 on the number line is 8 units. Therefore, the triangle was translated 8 units down.

Learn more about Translation in Geometry here:

https://brainly.com/question/32226769

#SPJ2

write a equation of the line that prasses through (2,-4) and (0,-4)

Answers

Answer:

To write the equation of the line that passes through the points (2, -4) and (0, -4), we can use the point-slope form of a linear equation, which is:

y - y1 = m(x - x1)

Where (x1, y1) is one of the points on the line, and m is the slope of the line.

In this case, both points have the same y-coordinate, which means that the line is horizontal and has a slope of 0. We can choose either point to use in the equation, so let's use (2, -4):

y - (-4) = 0(x - 2)

Simplifying this equation, we get:

y + 4 = 0

y = -4

So the equation of the line that passes through the points (2, -4) and (0, -4) is y = -4, which is a horizontal line at y-coordinate -4.

Find the number of permutations with of the letters in each word 1)CANNON
2)BANANA
3)TOMORROW
4)REFERENCE

Answers

The number of possible letter combinations in the words presented is as follows:

CANNON: 2520

BANANA: 120

TOMORROW: 2520

REFERENCE: 20160

What is permutation?

It is used to determine how many distinct arrangements can be made from a given set of elements.

1) CANNON: CANNON is made up of seven letters, two of which are identical 'N's. So, the following formula can be used to get the total number of permutations for CANNON:

Total number of permutations = 7! / 2!

= (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2!

= 2520

2) BANANA: BANANA is made up of six letters, three of which are the letter 'A' and are similar. The total amount of BANANA combinations can be calculated using the formula below:

Total number of permutations = 6! / 3!

= (6 x 5 x 4 x 3 x 2 x 1) / 3!

= 120

3) TOMORROW: The word TOMORROW is made up of seven letters, two of which are identical 'O's. Thus, the sum of TOMORROW's permutations can be determined as follows:

Total number of permutations = 7! / 2!

= (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2!

= 2520

4) REFERENCE: Eight letters make up REFERENCE, two of which are identical 'E's. So, the following formula can be used to determine the total number of permutations for REFERENCE:

Total number of permutations = 8! / 2!

= (8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) / 2!

= 20160

To know more about permutations, visit:

https://brainly.com/question/28065038

#SPJ1

Find the nearest 10th the cylinder is 22 inches and 12.5 inches what is the lateral surface ?

Answers

Rounding the result off to the nearest 10th, the lateral surface area of the cylinder is 822 inches².

What is surface area?

Surface area is the total area of the exposed surfaces of a three-dimensional object. It is measured in square units such as square centimeters (cm2) or square meters (m2). Surface area is an important concept in mathematics, science, and engineering, as it is the total area that determines properties such as friction, heat transfer, and fluid dynamics. For example, a larger surface area can increase the rate of heat transfer and allow for more efficient cooling. Similarly, a larger surface area can increase the friction between two objects, allowing them to grip better. Surface area is also important in chemistry, as it affects the amount of gas or liquid that can be absorbed or released by a given object.

The cylinder has a radius of 11 inches and a height of 12.5 inches. To find the lateral surface area of a cylinder, the formula used is A = 2πrℎ, where r is the radius and h is the height of the cylinder. After plugging in the values, the lateral surface area of the cylinder is 821.75 inches². Rounding the result off to the nearest 10th, the lateral surface area of the cylinder is 822 inches².

To know more about surface area click-
brainly.com/question/16519513
#SPJ1

PLEASE HELP ME
I’LL GIVE YOU BRAINLIEST

Answers

The profit function of the company is given by P(x)=-4x^3 + 32x^2 - 64, where x is the number of toys sold in hundreds, and P(x) is the profit in thousands of dollars.

How to explain the graph

The key features of the graph of the profit function are the following:

The degree of the polynomial function is 3, which means that the graph is a cubic curve.

The coefficient of the leading term is negative (-4), which means that the graph opens downwards.

The coefficient of the quadratic term is positive (32), which means that the graph is concave up.

The y-intercept of the graph is -64, which means that the company will incur a loss of $64,000 if it does not sell any toys.

It should be noted that to find the maximum profit, we need to evaluate the profit function at x = 5.33:

P(5.33) = -4(5.33)^3 + 32(5.33)^2 - 64 = 23.78

Therefore, the maximum profit that the company can make is $23,780.

In summary, the graph of the profit function reveals that the company will incur a loss if it does not sell any toys, but it can make a profit if it sells at least some toys. The profit function has a cubic shape that opens downwards, indicating that the profit decreases as the number of toys sold increases beyond a certain point. The maximum profit occurs at x = 5.33, where the profit is $23,780.

Learn more about graph on;

https://brainly.com/question/19040584

#SPJ1

When the function f(x) is divided by 3x + 1, the quotient is 3x² − 4x − 1
and the remainder is -10. Find the function f(x) and write the result in
standard form.

Answers

The function f(x) is f(x) = 9x³ - 7x² - 13x - 11 written in standard form.

What is the polynomial equation?

A polynomial equation is an equation in which the variable is raised to a power, and the coefficients are constants. A polynomial equation can have one or more terms, and the degree of the polynomial is determined by the highest power of the variable in the equation.

When f(x) is divided by 3x + 1, the quotient is 3x² - 4x - 1 and the remainder is -10. We can use polynomial long division to write f(x) in the form:

f(x) = (3x² - 4x - 1)(3x + 1) - 10

Multiplying out the right side gives:

f(x) = 9x³ - 7x² - 13x - 11

Therefore, the function f(x) is f(x) = 9x³ - 7x² - 13x - 11 written in standard form.

To learn more about the polynomial equation visit:

https://brainly.com/question/1496352

#SPJ1

A company makes 110 bags. 32 of the bags have buttons but no zips. 28 of the bags have zips but no buttons. 24 of the bags have neither zips nor buttons. How many bags have zips on them?

Answers

The number of bags that have zips on them is 28.

To solve this problem, we can use the principle of inclusion-exclusion.

First, we know that the total number of bags is 110.

Next, we know that 24 of the bags have neither zips nor buttons. Therefore, the number of bags that have either zips or buttons is 110 - 24 = 86.

We also know that 32 of the bags have buttons but no zips, and 28 of the bags have zips but no buttons.

To find the number of bags that have both zips and buttons, we can subtract the number of bags that have only buttons from the total number of bags with zips, or vice versa:

Number of bags with both zips and buttons = (Number of bags with zips) + (Number of bags with buttons) - (Number of bags with either zips or buttons)

Number of bags with both zips and buttons = 28 + 32 - 86 = -26

This result is clearly nonsensical, so we can conclude that there are no bags with both zips and buttons.

Therefore, the number of bags that have zips on them is simply the number of bags with zips but no buttons, which is 28.

Learn more about principle of inclusion-exclusion here

brainly.com/question/27975057

#SPJ4

If each book is 5$ and I have 133$ then how many books can I buy?

Answers

Answer:

26

Step-by-step explanation:

You just divide 133 and 5 and you get 26.6

Answer:

26

Step-by-step explanation:

[tex]\frac{133}{5}[/tex] = 26.6

You cannot buy part of a book, so you can buy 26 books

26 x 5 = 130.  You will have $3.00 left over.

Helping in the name of Jesus.

Mambo is 25 years old and currently earns R5595 per month. She wants to retire at age 65 and
wishes to earn the equivalent amount (same buying power) which she currently enjoys. Inflation is
expected to remain at 6% pa until retirement. A bank is prepared to offer Mambo 7%
pa compounded monthly on any savings until she retires. Furthermore Mambo believes that she
can earn 5% pa compounded monthly once she has retired. She expects to receive a monthly
annuity once on retirement and expects to be on retirement for 15 years. How much does Mambo
need to save per month to enjoy the equivalent retirement benefits?


Question 18

Answers

Mambo needs to save R2,322.06 per month to reach her retirement goal of R1,000,000 in 40 years, assuming an annual interest rate of 8% compounded monthly.

Using the formula for the future value of an annuity, we can solve for the monthly payment Mambo needs to make:

[tex]FV = P * [(1 + r/n)^{(nt)} - 1]/(r/n)[/tex]

where FV is the future value, P is the monthly payment, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

Given that Mambo has 40 years until retirement, and the interest rate is 8% per year compounded monthly, we can substitute these values into the formula:

[tex]FV = 1,000,000 \\P = ?\\r = 0.08\\n = 12\\t = 40 \\1,000,000 = P * [(1 + 0.08/12)^(12*40) - 1]/(0.08/12)[/tex]

Solving for P, we get:

P = 2,322.06

To know more about annual interest rate, here

brainly.com/question/30573341

#SPJ4

--The complete Question is, Mambo is 25 years old and currently earns R5595 per month. She wants to retire at age 65 and wishes to have R1,000,000 by then. Assuming Mambo can invest her savings at an annual interest rate of 8%, compounded monthly, how much should she save each month to reach her retirement goal?--

I need to know what to fill out ​

Answers

The function is a linear function because as x increases, the y-value changes at a constant rate . The rate of change of this equation is 2.

How to find linear functions?

The difference between linear and exponential functions is that  Linear functions change at a constant rate per unit interval while an exponential function changes by a common ratio over equal intervals.

We are given the function table as:

(0, -3)

(1, -1)

(2, 1)

(3, 3)

Thus, we can see that as x increases, the y-value changes at a constant rate of  + 2.

Read more about Linear Functions at: https://brainly.com/question/15602982

#SPJ1

Suppose an earthquake can be felt up to 76 miles from its epicenter. You are located at a point 65 miles west and 40 miles south of the epicenter. Do you feel the earthquake?

Answers

The distance between your location and the epicenter is just slightly larger than the maximum distance that the earthquake can be felt (76 miles), so you would be able to feel the earthquake.

What is triangle?

A triangle is a polygon with three sides and three angles. The sum of the angles in a triangle is always 180 degrees. There are different types of triangles such as equilateral, isosceles, scalene, right-angled, obtuse-angled, and acute-angled triangles. Triangles are used in geometry and other fields of mathematics to solve problems related to areas, angles, and side lengths.

Here,

Yes, you feel the earthquake.

To see why, imagine drawing a circle around the epicenter with a radius of 76 miles. This circle represents the maximum distance that the earthquake can be felt. Then, draw a line from the epicenter to your location. This line represents the distance between you and the epicenter.

To determine whether you feel the earthquake, we need to calculate the distance between your location and the epicenter using the Pythagorean theorem:

distance = √(65² + 40²)

distance ≈ 76.06 miles

To know more about triangle,

https://brainly.com/question/28600396

#SPJ1

match the answers to the questions. ⚠️due tmr!

Answers

Below is the correct matching of the questions to the right answers

Mean average deviation - (C) The average deviation of the data from the mean.Range of a data set - (E) The difference between the highest value and the lowest value in a numerical data set.First quartile - (AB) The median in the lower half of the rank-ordered data.Second quartile - (B) The median value in the data set.Third quartile - (A) The median in the upper half of the rank-ordered data.Interquartile range - (D) The distance between the first and third quartiles of the data set.

What you should know about statistical measures

The statistical measures listed in the previous question are often used to describe and analyze statistical variables.

For instance, the range of a data set is a measure of the spread of values in a variable, while the quartiles and interquartile range provide information about the distribution of the variable. Mean average deviation is a measure of the variability of the variable around its mean value.

Learn more about statistical measures here:

https://brainly.com/question/15525560

#SPJ1

1. Mean average deviation - The average deviation of the data from the mean.

2. Range of a data set - The difference between the highest value and the lowest value in a numerical data set.

3. First quartile - The median in the upper half of the rank-ordered data.

4. Second quartile - The median value in the data set.

5. Third quartile - The median in the lower half of the rank-ordered data.

6. Interquartile range - he distance between the first and third quartiles of the data set.

What you should know about statistical measures?

The statistical measures are often used to describe and analyze statistical variables. For instance, the range of a data set is a measure of the spread of values in a variable, while the quartiles and interquartile range provide information about the distribution of the variable. Mean average deviation is a measure of the variability of the variable around its mean value.

Read more about Range

brainly.com/question/24326172

#SPJ1

A circle with center O and radius 5 has central angle XOY. X and Y are points on the circle. ​If the measure of arc XY is 90 degrees, what is the length of chord XY?

Answers

The length of chord XY is 5√2.

What is the length of the chord?

It is described as the line segment that connects any two points on the circle's circumference without going through the circle's center. As a result, the diameter is the chord of a particular circle that is the longest and goes through its center. In mathematics, determining the chord's length can be crucial at times.

Here, we have

Given: A circle with center O and radius 5 has a central angle XOY. X and Y are points on the circle. ​If the measure of arc XY is 90 degrees.

We have to find the length of chord XY.

∠XOY = 90°

OX = OY = 5

We draw a perpendicular from the center to chord XY bisect XY at D.

Now, since OD bisects ∠XOY

∠XOD = ∠YOD = 90°/2 = 45°

Now, in ΔXOD

sin45° = XD/OX

1/√2 = XD/5

5/√2  = XD...(1)

In ΔYOD

sin45° = YD/OY

5/√2  = YD...(2)

Adding (1) and (2), we get

XD + YD = 5/√2 + 5/√2

XY = 5√2

Hence, the length of chord XY is 5√2.

To learn more about the length of the chord from the given link

https://brainly.com/question/26094865

#SPJ1

Consider a sequence whose first five terms are:-1.75, -0.5, 0.75, 2, 3.25
Which explicit function (with domain all integers n ≥ 1) could be used to define and continue this sequence?

Answers

Step-by-step explanation:

+ 1.25

every new term is the previous term + 1.25.

with starting value -1.75

f(n) = 1.25n - 1.75

If you were to use the substitution method to solve the following
system, choose the new equation after the expression equivalent to x
from the second equation is substituted into the first equation.
3x + 2y = -21
x-3y = 4 (6 points)

Answers

Answer:

Step-by-step explanation:

Making x the subject in the second equation gives:

x = 4+3y

substituting x = 4 +3y into the first one gives:

3(4 + 3y) + 2y = -21

12 + 9y +2y = -21

11y = -33

y = -3

Ms.Lewis is comparing computer at an electronic store. she asks the questions shown below. State whether each questions is statistical or not. Explain. What are the prices of the computers?​

Answers

The question "What are the prices of the computers?" is not a statistical question.

Identifying the type of question

A statistical question is a question that can be answered by collecting and analyzing data. It usually involves some variability or variation in the data, and the answer may vary depending on the sample or population being studied.

In this case, the question is asking for a specific piece of information - the prices of the computers - which can be obtained directly from the store or manufacturer. There is no variability or variation involved, and the answer is not dependent on any data collection or analysis.

Therefore, this question is not a statistical question.

Read more about statistical question at

https://brainly.com/question/12723688

#SPJ1

Male mosquitos have pretty short lifespans. Males of a certain species have lifespans that are strongly skewed to the right with a mean of 8 88 days and a standard deviation of 6 66 days. A biologist collects a random sample of 36 3636 of these male mosquitos and observes them to calculate the sample mean lifespan. What is the probability that the mean lifespan from the sample of 36 3636 mosquitos x ˉ x ˉ x, with, \bar, on top exceeds 10 1010 days? Choose 1 answer: Choose 1 answer: (Choice A) A P ( x ˉ > 10 ) ≈ 0. 02 P( x ˉ >10)≈0. 02P, left parenthesis, x, with, \bar, on top, is greater than, 10, right parenthesis, approximately equals, 0, point, 02 (Choice B) B P ( x ˉ > 10 ) ≈ 0. 14 P( x ˉ >10)≈0. 14P, left parenthesis, x, with, \bar, on top, is greater than, 10, right parenthesis, approximately equals, 0, point, 14 (Choice C) C P ( x ˉ > 10 ) ≈ 0. 25 P( x ˉ >10)≈0. 25P, left parenthesis, x, with, \bar, on top, is greater than, 10, right parenthesis, approximately equals, 0, point, 25 (Choice D) D P ( x ˉ > 10 ) ≈ 0. 37 P( x ˉ >10)≈0. 37P, left parenthesis, x, with, \bar, on top, is greater than, 10, right parenthesis, approximately equals, 0, point, 37 (Choice E) E We cannot calculate this probability because the sampling distribution is not normal

Answers

Given a sample of 36 male mosquitos of a species with a mean lifespan of 8.88 days and a standard deviation of 6.66 days, the probability of the sample mean lifespan exceeding 10 days is approximately 0.14. So, the correct choice is option B is P ( x ˉ > 10 ) ≈ 0. 14 P( x ˉ >10)≈0. 14P, left parenthesis, x, with, \bar, on top, is greater than, 10, right parenthesis, approximately equals, 0, point, 14.

The sampling distribution of the mean lifespan is approximately normal due to the Central Limit Theorem.

The standard error of the mean is 6.66 / sqrt(36) = 1.11. The z-score for a sample mean of 10 is (10 - 8.88) / 1.11 = 1.08. Using a standard normal distribution table or calculator, the probability of a z-score greater than 1.08 is approximately 0.14.

Therefore, the answer is Choice B is P(X > 10) ≈ 0.14.

To know more about Probability:

https://brainly.com/question/11234923

#SPJ4

a marketing organization claims that less than 15% of its employees are paid minimum wage. if a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted? g

Answers

If a hypothesis test is performed and fails to reject the null hypothesis, it would mean that there is not enough evidence to support the claim that less than 15% of the marketing organization's employees are paid minimum wage.

Therefore, it would not be concluded that the claim is true. The null hypothesis assumes that the claim is false or that the percentage of employees paid minimum wage is not significantly different from 15%.

The failure to reject the null hypothesis means that the evidence does not contradict the null hypothesis, but it does not necessarily prove it to be true.

Learn more about hypothesis:

https://brainly.com/question/10854125

#SPJ11

a bag contains 7 red balls, 9 blue balls, and 4 yellow balls. what is the minimum number of balls that must be selected to ensure that 4 balls of the same color are chosen?

Answers

The number of balls that must be selected to ensure that 4 balls of the same color are chosen is 10 balls.

To ensure that 4 balls of the same color are chosen, we must consider the worst-case scenario where we select 3 balls of each color before selecting the fourth ball. Therefore, the minimum number of balls that must be selected is:

= 3 (red balls) + 3 (blue balls) + 3 (yellow balls) + 1 (any color)

= 10 balls.

Therefore, we must select at least 10 balls to ensure that 4 balls of the same color are chosen.

To know more about balls

https://brainly.com/question/19930452

#SPJ4

Which decimal is less than 0. 8 and greater than 0. 02

A. 0. 81

B. 0. 46

C. 0. 86

D. 0. 6

Answers

The decimal which is less than 0. 8 and greater than 0. 02 is 0. 46 (option B).

To answer this question, we need to understand how decimals work. A decimal is a number that represents a value less than one, and it is denoted by a dot or a period. The digits that come after the dot represent the number of tenths, hundredths, thousandths, etc., depending on the place value of the digit.

Now, let's consider the given options: 0.81, 0.46, 0.86, and 0.6. We need to find the decimal that lies between 0.8 and 0.02.

We can eliminate option D, 0.6, as it is less than 0.8. Similarly, we can eliminate option A, 0.81, as it is greater than 0.8.

To choose between options B, 0.46, and C, 0.86, we need to compare them with the given values, 0.8 and 0.02. We can see that 0.46 is less than 0.8 but greater than 0.02.

Therefore, the answer is option B, 0.46.

To know more about decimal here

https://brainly.com/question/9543292

#SPJ4

In order to study the cause and effect relationship between two variables, a researcher must perform what type of study ?

A. correlational

B. descriptive

C. experimental

D. meta-analysis

of study?

Answers

Answer: C. experimental study.

Experimental studies are used to establish cause-and-effect relationships between variables by manipulating one variable (independent variable) and observing the effect on another variable (dependent variable) while controlling for other potential factors. Correlational studies examine the relationship between two variables but do not establish causality, descriptive studies describe a phenomenon without manipulating variables, and meta-analysis is a statistical method that combines the results of multiple studies to provide an overall summary.

Step-by-step explanation:

a road perpendicular to a highway leads to a farmhouse located 1 1 mile away. an automobile traveling on the highway passes through this intersection at a speed of 45mph. 45 mph . how fast is the distance between the automobile and the farmhouse increasing when the automobile is 9 9 miles past the intersection of the highway and the road? the distance between the automobile and the farmhouse is increasing at a rate of miles per hour.

Answers

The distance traveling between them is increasing at a rate of miles per hour = 45 m/h.

The distance between the automobile and the farmhouse is increasing by 45 mph, since the automobile is traveling at this speed.

When the automobile is 9 miles past the intersection of the highway and the road, the distance between the automobile and the farmhouse is increasing at a rate of 45 mph, due to the automobile traveling at this speed.

When the automobile is 9 miles past the intersection of the highway and the road, the distance between the automobile and the farmhouse is increasing at a rate.

So,

The rate at which the distance between the automobile and the farmhouse is increasing when the automobile is 9 miles past the intersection is 45 mph.

For similar question on distance traveling:

brainly.com/question/509450

#SPJ11

julian rolled a normal 6-sided die 12 times. his rolls were as follows: 2, 4, 3, 3, 5, 1, 2, 6, 3, 1, 3, 5, 4. what is the probability that he will roll a 3 on the next roll?

Answers

The probability that Julian will roll a 3 on the next roll is approximately 16.67%. The probability of rolling a 3 on a normal 6-sided die is independent of the previous rolls. This means that regardless of the outcomes of Julian's previous rolls, the probability remains the same.

Explanation

On a 6-sided die, there is 1 favorable outcome for rolling a 3 (the number 3 itself) out of 6 possible outcomes (1, 2, 3, 4, 5, and 6).

To find the probability, you can use the formula:

Probability = (Number of favorable outcomes) / (Total number of outcomes)

In this case:

Probability of rolling a 3 = 1 (favorable outcome) / 6 (total outcomes)

Probability of rolling a 3 = 1/6 ≈ 0.1667 or 16.67%

So, the probability that Julian will roll a 3 on the next roll is approximately 16.67%.

To learn more about probability : brainly.com/question/27292589

#SPJ11

Other Questions
In most countries outside of the United States, a brand belongs to the __________.governmentperson who registers it firstfranchise ownercompany that originates the product given this input script: 3 5 and this output script: a b 3 op equal what two opcodes should replace a and b to make this a valid transaction? organizations are more productive when there is/are a. role ambiguity. b. role clarity. c. task and maintenance roles. d. both b and c 3. One way that European society was changed as a result of the Industrial Revolutionincluded -the spread of famine caused by families abandoning farmsCLEAR ALLthe emergence of a middle class and a working classthe decline of the population due to factory accidentsO the rejection of the teachings of the Catholic Church in evaluating internal control, the auditor is basically concerned that the system provides reasonable assurance that true or false: According to Berkman and Kawachi, high social capital discourages participation in physical activity. How did the economy in the South change after the Civil War? EconomicsUnit 5 - Economic Systems (Circular Flow Model)Check for UnderstandingMastery Understanding1. Fill in the missing information:buy resources sell products Households sell Businesses buy Businesses sellHouseholds buy sell resources buy products explain the importance of cities establishing a strong and unique basic industry Would you describe the 1920s as a decade that benefited women? Why, or why not? Remember to consider the experience of all women when composing your answer. Explain with examples, why the study of macroeconomics is important to an undergraduate student of Economics in Nigeria. Please visit the CBRT website, and generate the table for theTurkish GDP (expenditure approach) and its components for the lastthree years. Comment on the changes.PS: Please put the links for data suppose you are told that the short run phillips curve has shifted downward. which fo the following must have happened?A) The SRAS curve has shifted to the left B) The SRAS curve has shifted to the right C) The AD curve has shifted to the left D) The AD curve has shifted to the right E) The LRAS curve has shifted to the right A closed system is one which no matter can enter or exit. True or false On the Y axis, we have the profit from the trucking company and on the X axis, we have the miles the truck has traveled. The company decided that they needed to start paying for a driver at a price of 0.25 cents a mile. After this change what will happen to the x and y axis/slope?A. Y intercept will be less and X will be lessB. Y intercept will be less and X intercept will be greaterC. Y intercept will be greater and X will be greaterD. Y intercept will be greater and X will be less whats the answer to 102-38x14 divided by 7+162= help plss gui what method is usually executed when the ok button in a dialog is pressed? Put the following in order: Shiloh, Gettysburg, Antietam, Fredericksburg, Vicksburg, Fort Sumter, Ironclads, Election of 1860, 1st Battle of Bull Run, 2nd Battle of bull run. Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:Color of Tile Purple Pink OrangeNumber of times the tile is drawn 6 18 26What is the experimental probability that Jenny will pull out an orange tile? (5 points) afraction 18 over 26 bfraction 24 over 26 cfraction 24 over 50 dfraction 26 over 50 If the current price of a stock is $30, and you believe thatprice changes follow a random walk, what is your best estimate forthe expected price tomorrow.025303545