Which of the following is an example of continuous data?


1.The height of a Wolsey Hall student

2.The number of modules in a Wolsey Hall course

3.The number of Wolsey Hall students

4.The number of KS3 courses

5.The number of pages in your course book

The statement for the congruency of the triangles and the corresponding sides are as follows:

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal .

In other words, triangles that have exactly the same size and shape are called congruent triangles.

Let's write a congruency statement for the triangles and identify the pair of congruent corresponding side.

Therefore,

ΔPQR ≅ ΔCBA

Hence,

∠Q = ∠B

∠R = ∠A

∠P = ∠C

PQ = BC

QR = AB

learn more on congruent triangles here: brainly.com/question/15485747

#SPJ1

The speed of Ted is 08 mph  and the speed of Frank is 12 mph.

Given:

Ted runs 2/3 as fast as frank. In 2 hours frank runs 8 miles farther than ted.

Ted Data:

Distance = d;

Rate = (2/3)x;

Time = 2 hours

Candid Data:

Distance = d+8;

Rate = x;

Time = 2 hours

Formula: Distance = Speed*Time

Therefore,

Flank distance = ted distance + 8

2x = (4/3)x + 8

6x = 4x + 24

2x = 24

x = 12 mph

The speed of Flank is 12 mph.

Therefore, the speed of Ted is:

(2/3)x = 8 mph

Learn more about Speed:

https://brainly.com/question/28224010

#SPJ4

128 possible ways can the student answer the seven questions.

What is combinations?

We have 7 true-false questions.

Each question can be answered 2 different ways and the answer for one question has no effect on the answer for another.

They are independent events.

So, the number of different ways that 7 questions can be answered is

= 2⁷

= 128 ways

Hence, there are 128 possible ways can the student answer the seven questions.

To know more about combinations check the below link:

https://brainly.com/question/11732255

#SPJ4

The city that she should predict that the home is in is given as follows:

Smavile.

We are given the linear regression equations for each town, which predicts the value of a home with a square feet.

Then the prediction of the city is given by the one whose prediction for a input of 2800 square feet gives the least residual relative to 280, that is, the value that has the least absolute difference relative to 280.

For Smaville, the equation is given as follows:

p = 150 + 0.041a.

Hence the estimate of the cost for a estate with 2800 square feet is of:

p = 150 + 0.041(2800) = 264.8.

For Fancyville, the equation is given as follows:

p = 250 + 0.198a

Hence the estimate of the cost for a estate with 2800 square feet is of:

p = 250 + 0.198(2800) = 804.4.

Smavile has the least residual, hence is the prediction.

More can be learned about linear regression at https://brainly.com/question/29613968
#SPJ1

The figure was rotated 270° counterclockwise and was translated 2 units to the left.

Translation moves a shape left, right, up, or down but does not turn. The translated shapes (or the image) appear to be the same size as the original shape, indicating that they are congruent.

if we pick a point on the shape with a coordinate (3,2) if we rotate that point 270° counterclockwise the new coordinates become ( 2, -3)

From the graph the final coordinates of that point i (0, -3)

Which means that point moved from point 2 to point 0 2 units to the left.

So then shape was translated 2 units to the left.

In conclusion, the shape was translated by 2 units to the left.

Learn more about translation: https://brainly.com/question/12861087

#SPJ1

Answer:

Step-by-step explanation:

65kilo

Using PEDMAS to calculate the mathematical operation -4 + (6 + 8) ÷ (-2)  the value is -11

This is the use of mathematical operands to solve mathematical problems. This is involves the use of PEMDAS to solve mathematical expressions and equations.

In the given question,

-4 + (6 + 8) ÷ (-2)

Using PEMDAS;

The resultant operation will become

-4 + (6 + 8) ÷ (-2) = -11

The operation of -4 + (6 + 8) ÷ (-2) will give -11

Learn more on mathematical operation here;

https://brainly.com/question/550188

#SPJ1

The quadratic equation which satisfy all the condition is y= -(x+4) (x- 10)

What is the simple quadratic formula?

The quadratic formula is as follows. The equation Ax2+Bx+C=0 can be divided by A to get x2+B/Ax+C/A=0, and the procedure repeated to get the more generic version.

How do you square a number?

How to use the Quadratic Formula to solve a quadratic equation.

Ax2 + bx + c = 0 is the quadratic equation in standard form. Find the values of a, b, and c.

the quadratic formula in writing. Then enter the values for a, b, and c.

Simplify.

Verify the answers.

Given that :

Roots are (-4, 0) and (10, 0)

and goes through  the point (5,45)

So as we can see that that only second and third option satisfy the roots and the third one satisfy the point conditions.

hence the quadratic equation which satisfy all the condition is y= -(x+4) (x- 10)

Learn more about quadratic equation

https://brainly.com/question/1214333

#SPJ1

Answer:

x = -8

Step-by-step explanation:

Step 1: Combine multiplied terms into a single fraction.

(-x / 5) - 1.4 = 2x + 16.2

Step 2: Find a common denominator.

(-x / 5) + [5(-1.4) / 5] = 2x + 16.2

Step 3: yeah this is boring idc about the explanation

The precise middle value of a dataset when it is ordered is called the median. Separating the lowest 50% of data from the top 50% of values is a measure of central tendency. the median of 23 and 23 is 23

The median is the middle number when the numbers are arranged in order from least to greatest. Since 23 and 23 are the same number, the median is 23.The median is an important measure of central tendency. It is the middle value of a data set when the numbers are arranged in order from least to greatest. In this case, since there are only two numbers and they are the same, the median is simply the number itself, 23.

Learn more about median here

https://brainly.com/question/15323584

#SPJ4

We need 42 minimum number integers from 0 to 80 that must be selected in order to be sure of getting at least one that is odd.

We need Pigeonhole Principle which states,

The pigeonhole principle is one of the simplest but most useful ideas in mathematics, and can rescue us here. A basic version says that if (N+1) pigeons occupy N holes, then some hole must have at least 2 pigeons. Thus if 5 pigeons occupy 4 holes, then there must be some hole with at least 2 pigeons.

We know that there are 40 odd integers 1, 3, 5, 7, ....79 and 41 even integers 0, 2, 4, 6, .....80 from 0 to 80 .

So, at most, 41 integers picked out of them. If we pick one more integer after picking all of these then it must be odd integer according to Pigeonhole  Principle. Therefore, we need to at least one more integer from 0 through 80 to be sure that there is at least one odd integer.

So, in total we need to pick at least 41 + 1 = 42 integers from 0 to 80 to be sure of getting at least one that is odd.

To read more Pigeonhole Principle.

https://brainly.com/question/13982786

#SPJ4

A set of statistics exam scores are normally distributed with a mean of 76. 5576. 5576, point, 55 points and a standard deviation of 555 points. 28.34% proportion of exam scores are between 797979 and 86. 586. 0586..

A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed. In contrast, a high or low standard deviation indicates that the data points are, respectively, above or below the mean. A standard deviation that is close to zero implies that the data points are close to the mean.

Given,

Mean = 76.55

Standard deviation = 5

To calculate this, we first need to get the Z score mathematically

Z = X - mean/standard deviation

For the 79,

Z = 79 - 76.55/5

Z = 0.49

For the 86.05

Z = X - mean/standard deviation

Z = 86.05 - 76.55/5

Z = 1.9

So, we have

P(0.49 < Z < 1.9)

P( Z < 1.9) - P( Z < 0.49)

Using the table of standard score probability

P(Z < 1.9) = 0.9713

P( Z < 0.49) = 0.6879

P( Z < 1.9) - P( Z < 0.49)

0.9713 - 0.6879

0.2834

In percentage,

0.2834 × 100%

28.34%

A set of statistics exam scores are normally distributed with a mean of 76. 5576. 5576, point, 55 points and a standard deviation of 555 points. 28.34% proportion of exam scores are between 797979 and 86. 586. 0586..

To learn more about mean and standard deviation, visit:

https://brainly.com/question/15946379

#SPJ4

Answer:9

Step-by-step explanation:

18 times 2 =36

1 triangle is half of a square

36 divided by 4 is 9

If PQ=3x+8 and QR=2x + 17, the value of x is 31.

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. The linear pair postulate or linear pair theorem in mathematics states the same thing mathematically. The sum of the measurements of two angles that make up a linear pair is 180°.

Given

Value of lines,

PQ = 3x + 8

QR = 2x + 17

Linear pair theorem,

3x + 2x + 8 + 17 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

x = 155/5

Value

x = 31

To learn more about linear pair theorem, visit:

https://brainly.com/question/5598970

#SPJ1

A minimax problem minimizes the maximum value of a number of decision variables and the maximin problem maximizes the minimum value

We know that a minimax problem minimizes the maximum value of a number of decision variables. It is sometimes applied to minimize the possible loss for a worst case (maximum loss) scenario. On the other hand a maximin problem maximizes the minimum value. Generally it is used to maximize the minimum objective (such as profit or revenue) for all potential scenario.

To solve the  optimization problem for maximum :

First we find the derivative of the function.

Set the derivative equal to 0 and solve for x. This gives the x-values of the maximum and minimum points.

Now substitute those values of x back into the function to find the corresponding values of y. This will give the maximum and minimum points of the function.

Therefore, the maximin problem maximizes the minimum value  of a number of decision variables.

Learn more about the optimization problem here:

https://brainly.com/question/28455205

#SPJ4

The experiment type of research study is being used.

What is an experiment ?

A method used in a controlled environment to find an unknown effect or law, test or establish a hypothesis, or provide an example of an established law

In the scenario described, individuals are chosen at random to participate in a new intervention, which appears to be an example of an experiment.

As opposed to option A, where the participants are being observed in their natural context, this is not a naturalistic observation example.

The lack of a relationship means that it is neither a correlation research, as in option C, nor a survey, as in option D.

Option B is the appropriate response, thus.

So, the experiment  type of research study is being used.

To know more about experiment from the link given below.

https://brainly.com/question/26117248

#SPJ4

Translate vertex W to vertex M. Next, reflect WXY across the line containing line segment WX is MXY

The intersection of two lines, two line segments, or any suitable combination of rays, segments, and lines that results in two straight "sides" coming together at one point is known as an angle's vertex. 1. Translate vertex W to vertex M: Move point W to the right by 4 units, creating point M.

2. Reflect WXY across the line containing WX: Create a line perpendicular to WX, and reflect WXY across it. The resulting figure is MXY.

Learn more about vertex here

https://brainly.com/question/29030495

#SPJ4

Answer:

143.30

you can give me more

The solution to the given linear inequality is x > 1

From the question, we are to solve the given linear inequality.

The given linear inequality is

3x - 2 > 4 - 3x

Solving the inequality

3x - 2 > 4 - 3x

Add 3x to both sides

3x +3x - 2 > 4 - 3x + 3x

6x - 2 > 4

Add 2 to both sides

6x - 2 + 2 > 4 + 2

6x > 6

Divide both sides by 6

6x/6 > 6/6

x > 1

Hence, the solution is x > 1

Learn more on Solving linear inequalities here: https://brainly.com/question/24372553

#SPJ1

Answer:

25 feet long and 16 feet wide

Step-by-step explanation:

16 x 2 = 32
32 - 7 = 25
25 x 16 = 400

Answer:

The correct answer is A. hire employees.

During a boom, or an economic expansion, businesses typically experience increased demand for their products and services. This often leads to higher profits and sales, and as a result, many businesses will choose to hire additional employees to help meet the increased demand. Hiring employees allows businesses to increase their production and sales, and it can also help them to capitalize on opportunities for growth and expansion.

The other answer choices, cutting jobs (B) and saving cash (C), are not typically associated with a boom. Cutting jobs would be more likely to occur during a recession or a downturn in the economy, when businesses are trying to reduce costs and improve their bottom line. Saving cash, on the other hand, is something that businesses might do during any economic conditions, as it can help them to build up a financial cushion and prepare for unexpected events. However, during a boom, businesses are more likely to focus on expanding their operations and taking advantage of the increased demand for their products and services.

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

It seems like the most logical answer, as boom usually means it's doing well. When a business is doing well I doubt they would want to cut jobs or have to be worried about saving their extra cash.

The approximate probability that the next 100 sunday customers will spend an average of at most $28 is 0.97725

This theorem limits the central value (mean) of a sample measure to the mean value of the population from which the sample was drawn. There are two versions of this set, average and ratio respectively. This is true only if each sample is the same size and that size matters.

We have given that,

Mean , μ = $32

Standard deviations, σ = $20

sample size, n = 100

The probability that the test 100 sunday customers will spend on average of at most $28.

Using formula,

Standard error = 20/Sqrt(100) = 2

Test- statistic, Z = (x -μ)/S.E

here we have, x = 28 , S.E = 2 , μ = 32

=> Z = ( 28 - 32)/2 = - 4/2 = -2

Now, the approximate probability value, P(X≤ x )

is P(X≤ 28) = P(X - μ / S.E < 28- 32/2) = P(Z≤ -2)

= 1 - P(Z>-2) = 1- P(Z< 2) = 1 - 0.02275 = 0.97725 To learn more about Central Limit Theorem, refer:

https://brainly.com/question/17186021

#SPJ4

Answer:

      I hoped this helped! Please give me brainliest :D

The linear model equation for the given data is y = 2x  .

In the question ,

it is given that ,

a data table is given ,

from the table we can see that ,

when x is = 2 , the value of y = 4 ,

and when x is = 4 , the value of y = 8 .

So , we have two points as (2,4) and (4,8) .

the slope of the line is = (8-4)/(4-2)

= 4/2

= 2 .

So , the equation of the line with m = 2 and (x,y) = ( 2,4) will be

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

y - 4 = 2x - 4

Adding 4 in both sides of equation ,

we get ,

y = 2x

Therefore , the linear model equation of the line is y = 2x .

The given question is incomplete , the complete question is

How do you write a linear model equation for a data table given as ?

 x    y

2    4

4    8

6    12

Learn more about Equation Of Line here

https://brainly.com/question/29775305

#SPJ4

The volume of the cone in cubic inches is 209.52 inches³.

Here we have to find the volume of the cone.

Data given:

diameter (d) = 10 inches

height(h) = 8 inches

radius (r) = 5 inches

The formula for the volume of the cone:

Volume = 1/3 πr²h

Now putting the values in the equation we have:

V = 1/3 π (5)² × 8

  = 209.52 inches³

Therefore the volume is 209.52 inches³.

To know more about the cone refer to the link given below:

https://brainly.com/question/1082469

#SPJ4

Answer:

The solution to this equation is x=4 (or A)

Step-by-step explanation:

First, you want to remove the parentheses from the equation and distribute 2 through the parentheses:

4x+2x+12=36

Then you collect like terms:

6x+12=36

Then you move the constant to the right-hand side and change its sign:

6x=36-12

Then you subtract the numbers:

6x=24

Then you divide both sides of the equation by 6, which gives you your solution:

x=4