in a class of 3000 students, the professor gives a multiple choice quiz with 4 questions, possible answers a,b,c, d or e. each student answers each question. among the 3000 students, at least how many students will turn in the exact same answers for the quiz questions?

The definitions and examples of science and non-science are as explained below.

Science is defined as the pursuit and application of knowledge and understanding of the natural and social world following a systematic methodology based on evidence. Scientific methodology includes  Objective observation like Measurement and data.

Non-Science is a body, set, or system of information, methods, beliefs, and hypotheses  that does not use the scientific method as a basis for observation, or development of a theory.

Examples of Science are;

Examples of Non-Science are;

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Answer:

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Volume of a cone:

Given:

Substitute and find the volume:

Answer:

the answer was 9 (red)

Step-by-step explanation:

Answer:

She walked 4.26 miles

Step-by-step explanation:

I just added both the miles given to get total miles walked on the weekend

Answer:

b

Step-by-step explanation:already did it

Answer:

what are the choices so I could help

Answer:

see explanation

Step-by-step explanation:

∠ L = 180° - (60 + 60)° = 180° - 120° = 60° [ sum of angles in Δ = 180° ]

Since the 3 angles are 60° , then the triangle is equilateral with the 3 sides being congruent.

Then

5x - 3 = 4 ( add 3 to both sides )

5x = 7 ( divide both sides by 5 )

x = \(\frac{7}{5}\) = 1.4

and

2y + 6 = 4 ( subtract 6 from both sides )

2y = - 2 ( divide both sides by 2 )

y = - 1

Answer:

.25 cents per orange

Step-by-step explanation:

2.00/8=.25

The mode is the category with the highest frequency in the distribution.

In a dataset or distribution, the mode refers to the value or category that appears most frequently. It represents the peak or most common observation in the dataset. Unlike the mean and median, which are measures of central tendency, the mode focuses on the frequency or occurrence of specific values or categories.

For example, if we have a dataset of test scores: 85, 92, 78, 92, 77, 85, 90. In this case, the mode would be 92 since it appears twice, which is more frequently than any other value.

In categorical data, the mode refers to the category or group with the highest frequency or count. For example, if we have a dataset of favorite colors: red, blue, green, blue, blue, yellow, green. In this case, the mode would be blue since it appears more frequently than any other color.

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Step-by-step explanation:

so why you are asking?????

The steps for subtracting mixed numbers are the transformation of improper fractions, subtraction of denominator, then subtracting numerator, making it the smallest term, and reverse.

Finding the difference between two mixed numbers is required when subtracting mixed numbers. The steps for subtracting mixed numbers are as follows:

Step 1: Transform the mixed values into improper fractions in step 1. To achieve this, divide the total by the denominator, then add the numerator. The new numerator is the outcome, and it is positioned above the denominator.

Step 2: Identify a common denominator in step two. You must identify a common denominator to subtract fractions with various numerators.

Step 3: Subtract the fractions in step three. Subtract the numerators from the fractions while maintaining the same denominator.

Step 4: Make the outcome simpler. Simplify the outcome if you can by breaking the fraction down into its smallest terms. 13/4 in this instance may be expressed as 3 1/4.

Step 5: Reverse the incorrect fraction to a mixed number in step 5. Divide the numerator by the denominator to return the improper fraction to a mixed number. The full number serves as the numerator, and the remainder serves as the quotient.

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The question is -

How to Subtract mixed numbers?

The corresponding equation is 4q + 3p = 22.

What is the slope of a line ?

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's b in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate. Locate two locations along the chosen line and find their coordinates.

Find the y-coordinate difference between these two places (rise). Find the difference between the x-coordinates of these two points (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).

The slope is defined as the relationship between the rise, or vertical change, between two points and the change, or horizontal change, between the same two points and can be represented as an equation.

Given that, coordinates are (p, 1/2) and (-8, q), slope is 3/4.

m = (y2 - y1)/(x2 - x1)

34 = (q - 1/2)/-8 - p

-24 - 3p = 4q - 2

4q + 3p = 22

The corresponding equation is 4q + 3p = 22.

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Therefore, the original number is 10x + y = 10(10) + 7 = 107.

Given that the sum of the digits is seventeen, we have the equation:

x + y = 17 (equation 1)

The number with the digits reversed is thirty more than 5 times the tens' digit of the original number. The number with the digits reversed would be 10y + x.

According to the given information, we have the equation:

10y + x = 5x + 30 (equation 2)

To solve the system of equations, we can substitute equation 1 into equation 2:

10(17 - x) + x = 5x + 30

Expanding and simplifying:

170 - 10x + x = 5x + 30

170 - 30 = 5x + 10x - x

140 = 14x

x = 10

Substituting the value of x back into equation 1:

10 + y = 17

y = 7

Therefore, the original number is 10x + y = 10(10) + 7 = 107.

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Answer:

The two angles are 69° and 21°.

Step-by-step explanation:

Write out the expression:

let x and y be two angles that are complementary and the sum of their measures is 90°

-> x° + y° = 90°

if one angle is 6º more than three times the other angle:

-> x° = 6° +3y°

Plug x = 6+3y into x° + y° = 90°

6° + 3y° + y° = 90°

Solve for y

4y° = 84°

y° = 21°

Plug y into x° + y° = 90°

x° + 21° = 90°

Solve for x°

x° = 90° - 21° = 69°

Answer:

(12+17)-(3x2)

Step-by-step explanation:

Answer:

12+17-(3x2)

Step-by-step explanation:

You do multiblecation before addition so you put it in parenthesis

This is a simple distance = rate * time problem. Just use that formula and you'll solve these types of problems in no time!

Chandler's speed or the rate is 1/16 km per 1/6 of an hour and the time is one hour.

Because we have the rate and the time, just multiply both values to get the answer.

1/16 km / 1/6 h * 1 hour = 0.375 km

Answer:

3/8 km

Step-by-step explanation:

In 1/6 of an hour he walks 1/16 km

So in 1 hour he walks 1/16 * 6

= 3/8 km.

Answer:1.24

2.7 27/56

3.3/4

4.1 2/3

Step-by-step explanation:

Step-by-step explanation:

\(59.094 - 59.09 = 0.004\)

Answer:

92 percent

Step-by-step explanation:

Answer:

92% of balloons filled did not pop.

Step-by-step explanation:

2 / 25 balloons is the fraction of balloons that do pop, and we want the percentage that don't pop.

To start off with, we will get the fraction of balloons that don't pop - 23 / 25.

We will then convert this fraction to a decimal by dividing the fraction:

23 divided by 25 = 0.92

Now, to convert this to a percentage, we just multiply by 100.

0.92 x 100 = 92%

Therefore the answer is 92% of balloons filled did not pop.

Answer:  (x, y) = (-12, 3)

This means x = -12 and y = 3 pair up together to form the solution.

========================================================

Work Shown

1/2 = 0.5

0.5x + 6y = 12

0.5x + 6(x+15) = 12 .... plug in y = x+15

0.5x+6x+90 = 12

6.5x + 90 = 12

6.5x = 12-90

6.5x = -78

x = -78/(6.5)

x = -12

Then,

y = x+15

y = -12+15

y = 3

The solution as an ordered pair is (x, y) = (-12, 3)

That is the shorthand way to indicate x = -12 and y = 3 pair up together to form the full solution.

-----------------

Check:

Plug x = -12 and y = 3 into the first equation. Simplify both sides.

0.5x + 6y = 12

0.5*(-12) + 6*3 = 12

-6 + 18 = 12

12 = 12

We reached a true statement, which confirms the first equation is true when x = -12 and y = 3.

Repeat for the second equation.

y = x+15

-3 = -12+15

-3 = -3

This equation is true as well. Both equations are confirmed.

A visual way to confirm the answer is to graph the original equations on the same xy grid. The two lines intersect at (-12, 3). See the diagram below. I used GeoGebra to make the graph. Desmos is another option.

Answer:

y=-4

Step-by-step explanation:

Answer:

straight angles

Step-by-step explanation:

Angles that are 180 degrees (θ = 180°) are known as straight angles.

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There are 6 club members who are both left-handed and like jazz music.

Let's use a Venn diagram to solve this problem. We have two sets: left-handed club members and club members who like jazz music.

We know that there are 20 club members in total. Out of these, 8 are left-handed and 15 like jazz music.

Now, let's fill in the information we have:

The left-handed circle will have 8 members.

The jazz music circle will have 15 members.

We also know that 2 club members are right-handed and dislike jazz music. Since people are either left-handed or right-handed, but not both, these two members cannot be in the left-handed circle. Therefore, they must be outside both circles.

Now, we can calculate the number of club members who are both left-handed and like jazz music by subtracting the number of club members in the right-handed and dislike jazz music category from the total number of left-handed club members:

Left-handed and like jazz music = Total left-handed - Right-handed and dislike jazz music

= 8 - 2

= 6

Therefore, there are 6 club members who are both left-handed and like jazz music.

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Answer:

The equations are;

a -b + c = 5

c = -4

16a + 4b + c = 0

Step-by-step explanation:

Generally, the equation of a quadratic formula can be written as;

y = ax^2 + bc + c

From the graph, we have three points and we want to form equations from these points

These points are;

(-1,5) (0,-4) and (4,0)

To get the equation from each point, we make a substitution for both x and y

For the first;

5 = a(-1)^2 + b(-1) + c

5 = a-b + c

For the second;

-4 = a(0)^2 + b(0) + c

c = -4

For the third;

0 = a(4)^2 + b(4) + c

0 = 16a + 4b + c

Rhombus is a type of quadrilateral.

A rhombus is a type of quadrilateral, which means it is a four-sided polygon. What distinguishes a rhombus from other quadrilaterals is that it has four equal sides. Another important property of a rhombus is that its opposite sides are parallel and congruent. This makes the rhombus a type of parallelogram.

A rhombus also has two pairs of opposite angles that are congruent. In other words, if you draw a diagonal line from one vertex of the rhombus to another, you will create two congruent triangles. This property makes the rhombus a type of kite, which is another type of quadrilateral.

The diagonals of a rhombus bisect each other at right angles. This means that the diagonals divide the rhombus into four congruent right triangles. Moreover, the lengths of the diagonals of a rhombus are related by the Pythagorean theorem, which states that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of its hypotenuse.

Overall, a rhombus is a unique type of quadrilateral that has several interesting properties, including equal sides, parallel opposite sides, congruent opposite angles, and perpendicular diagonals. Its special properties make it useful in various fields of mathematics and engineering, such as geometry, trigonometry, and architecture.

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Answer: The slope is 5.

Step-by-step explanation: Use formula: (y2-y1)/(x2-x1)

(7-2)/(4-3)

5/1 = 5

Have a nice day! :)

Answer:

2y - 3x = -15

Step-by-step explanation:

Slope of the line 4x + 6y = 1 is as shown below;

Rewrite in slope intercept form;

6y = -4x+1

y = -4x/6 + 1/6

y = -2x/3 + 1/6

mx = -2/3x

m = -2/3

The slope of the line perpendicular M = -1/(-2/3)

M = 3/2

Get the x and y intercept of 2x+3y = 18

x intercept occurs when y  = 0

2x + 0 = 18

x= 18/2

x = 9

y intercept occurs when x  = 0

0 + 3y = 18

3y= 18

y = 18/3

y = 6

The line passes through the point (9,6)

Write the equation in point slope form

y - y0 = m(x-x0)

y - 6  = 3/2(x-9)

2(y-6) = 3(x-9)

2y - 12 = 3x - 27

2y - 3x = -27 + 12

2y - 3x = -15

This gives the required equation

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Answer:

420 x .1 = 42

420 + 42 = 462

400 x .2 = 80

400 + 80 = 480

The first one is cheaper

(a)image averaging is a very effective method of reducing noise in images. Image averaging reduces noise by adding multiple images of the same scene together and then dividing by the number of images added.The conditions that must be fulfilled for the image averaging method are as follows:-

(i) The background of the image must not move between each image capture.- The noise present in the image must be random.- The source of the noise must be consistent.

(ii)The mathematical expression that characterizes the noise in the resultant image when K images are averaged, as K becomes large is given by;sigma_n^2/K

Where;sigma_n^2 is the variance of the noise and K is the number of images that have been averaged.

Therefore, as K increases, the variance of the noise in the resultant image reduces, and thus, the noise reduces.When either method can be used for noise reduction, the temporal image averaging method would be the preferred method to select.

(iii)This is because it uses a sequence of images that are taken at different times, usually at high speeds, to produce a single image that is free of noise. This method is best when dealing with fast-moving objects, and it can be used in situations where the camera cannot be stabilized and is experiencing unwanted vibration or shaking.

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If Scarlet Company received an invoice for $53,000.00 that had payment terms of 3/5 n/30 and made a partial payment of $16,800.00 during the discount period, the balance of the invoice is $34,610.

To calculate the balance of the invoice, follow these steps:

Therefore, the balance of the invoice is $34,610.

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