At a certain university, students who live in the dormitories eat at a common dining hall. Recently, some students have been complaining about the quality of the food served there. The dining hall manager decided to do a survey to estimate the proportion of students living in the dormitories who think that the quality of the food should be improved. One evening, the manager asked the first 100 students entering the dining hall to answer the following question. Many students believe that the food served in the diniog tall necds improvement. Do you think that the quality of food served here needs improvement, even though that would increase the cost of the meal plant? a. In this setting, explain how bias may have been introduced based on the way this convenience sample was selected and suggest how the sample could have been selected differently to avoid that bias. b. In this setting, explain how bias may have been introduced based on the way the question was worded and suggest how it could have been worded differently to avoid that bias.

Answers

Answer 1

Based on the provided information, a) bias is introduced through convenience sampling there could be specific variable associated with the first hundred students. It can be avoided by simple random sampling. b) bias is introduced through wording as it includes a negative consequence. It can be avoided by just asking for an opinion without any associated reasoning or consequences.

Bias refers to a deviation of feedback which is based on certain influences by the surveyor and respondent. Sampling bias or selection bias refers to a type of bias in which a researcher gathers a sample of respondents for a questionnaire that does not accurately represent the population. Survey bias refers to the way the question is phrased or formatted, leading people to choose a certain answer instead of another. In the given case,

a) A bias may have been introduced based on the way the convenience sample was selected as there could be specific variable associated with each of the first hundred students that walk into the dining room. The first hundred students could possibly like the food and that is the reason why they come early to the dining room. Selecting students at the dining room may also exclude the students who dislike the food and choose to eat elsewhere. A simple random sample can help avoid this bias. By randomly selecting students at the university campus would provide a more inclusive and true representation of the population.

b) A bias may have been introduced based on the way the question is worded is to maintain the current meal plan as it presents a negative consequence to introducing a new meal plan. It states that a new meal plan would result in more cost. In order to avoid bias, the survey should ask students opinion about the food without introducing any external reasoning.

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Related Questions

Please help me I rlly need to pass this

Answers

Answer:

Step-by-step explanation:

b = 4h + 3A = .5 * b * h = 11Substitute b in terms of h from the first equation into the second equation and solve for h:.5 * b * h = 11.5 * (4h + 3) * h = 11(4h + 3) * h = 224h2 + 3h = 224h2 + 3h - 22 = 0(4h + 11) (h - 2) = 0h = -11/4 OR h = 2Reject the negative answer since a length cannot be negative=> h = 2Plug h value into the first equation to solve for b:b = 4h + 3 = 4(2) + 3 = 11base = b = 11height = h = 2 (that’s what I got if it doesn’t then sorry)

Try 3 because to find the solution, you need to do base multiplied by height, then divide that answer by 2 now if the base is 3 inches greater than the height I’m pretty confident that would make the height 2. So multiply 3 times 2 which is six then divide that by two which is three.

10 pts. What is the length of IJ

Answers

The formula to find the distance between the two points is [tex]d=√((x2 – x1)² + (y2 – y1)²)[/tex] therefore the length of the line IJ would be: 29.

What is distance formula?

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²).  This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

Given I = -16 and J = 13

∴ intercepts of I are (x1,y1)=(-16,0)  and intercepts of J are (x2,y2)=(13,0)

To calculate length of IJ :

Using distance formula:

IJ =

[tex]\sqrt{(x2-x1)^2+ (y2-y1)^2} \\\\\sqrt{[13-(-16)^2+0} \\\\\sqrt{29^2}[/tex]

∴ IJ = 29

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What are the 7 angles in maths?

Answers

In mathematics, there are several types of angles that are typically studied in elementary and middle school, they include

Acute angleRight angleObtuse angleStraight angleReflex anglePerigonComplementary angles

Acute angle: An acute angle is an angle that measures less than 90 degrees.

Right angle: A right angle is an angle that measures exactly 90 degrees.

Obtuse angle: An obtuse angle is an angle that measures greater than 90 degrees and less than 180 degrees.

Straight angle: A straight angle is an angle that measures exactly 180 degrees.

Reflex angle: A reflex angle is an angle that measures greater than 180 degrees and less than 360 degrees.

Perigon: A full angle is an angle that measures exactly 360 degrees.

Complementary angles: Two angles are said to be complementary if the sum of their angles is 90 degrees.

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Δdef is an isosceles triangle with base angles e and f. what is the angle measure of the smallest angle in the triangle? approximate to the nearest degree. degrees what are the measures of the two congruent base angles? degrees

Answers

The two congruent base angles' measurements ∠D = 14.36 and

∠E = ∠F = 82.9

A triangle with two sides that have the same length is said to be isosceles. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

As per the data given in the above question are as bellow,

As seen in the picture below, we have D, E, and F as well as sides D, E, and F.

We determine the angle D using the cosine rule.

[tex]d^2=e^2+f^2-2(e)(f) \cos (D) \\3^2=12^2+12^2-2(12)(12) \cos (D)[/tex]

9=144+144-288 cos(D)

9=288-(288 cos(D))

9-288= -288 cos(D)

-279 = -288 cos (D)

-279/288 = cos (D)

[tex]D=\cos ^{-1}\left(\frac{279}{288}\right)[/tex]

D=14.26

Triangle DEF is an isosceles triangle, allowing us to calculate E and F using the triangle's angles.

180°-14.36 = 165.64°, rounded to 1 dp;

165.64°2=82.9°

We now get

D = 14.36,

E = 8, and F = 82.9.

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Note: The missing diagram is as bellow.

The smallest angle, angle E, measures is 82 degrees.

Given that DE = DF = 12 and FE = 3, we can see that DE and DF are equal, which means that angles D and F are congruent.

Additionally, EF is the unequal side, so angle E will be the smallest angle in the triangle.

To find the angle measures, we can use the Law of Cosines, which states that in a triangle with sides a, b, and c and opposite angles A, B, and C, the following equation holds:

c²= a² + b² - 2abcos(C)

we know that DE = DF = 12, and EF = 3.

We can set up the equation for angle E:

12²= 12² + 3² - 2 × 12 × 3×cos(E)

Simplifying the equation:

144 = 144 + 9 - 72 × cos(E)

144 = 153 - 72 ×cos(E)

72 × cos(E) = 9

cos(E) = 9 / 72

cos(E) = 1 / 8

To find the measure of angle E, we need to take the inverse cosine (arccos) of 1/8:

E = arccos(1/8)

E = 82.77 degrees (rounded to the nearest degree)

Since the triangle is isosceles, angles D and F are congruent. T

Therefore, each of the base angles (angles D and F) will measure:

D = F = (180 - E) / 2

D = F = (180 - 82) / 2

D = F =98 degrees

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A function of x is given by f(x) = 2x - 3. which of these describes the meaning of f(-1)? a. the output value for the function f when x = -1 b. the output value for the function of f when 2 is added to -3. c. the input value for the function f when x = -1 d. the output value for the function f when 2 is added to -3.

Answers

The solution is Option A.

The output value for the function f when x = -1 and the function f ( -1 ) is given by the equation f ( -1 ) = -5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = 2x - 3   be equation (1)

On simplifying the equation , we get

when x = -1

Substitute the value of x as -1 in the equation , we get

f ( x ) = 2x - 3

f ( - 1 ) = 2 ( -1 ) - 3

f ( - 1 ) = - 2 - 3

f ( - 1 ) = -5

Therefore , the value of f ( -1 ) is -5

Hence , the function f ( x ) when x = -1 is -5

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seven and one ninth equals two and four fiths plus m

Answers

The translation of the sentence to an equation is 7 1/9 = 2 4/5 + m

How to translate the sentence to an equation

From the question, we have the following parameters that can be used in our computation:

seven and one ninth equals two and four fifths plus m

The number is represented with m

So, the statement remains unchanged as follows

seven and one ninth equals two and four fifths plus m

seven and one ninth means 7 1/9

So, we have the following representation

seven and one ninth equals two and four fifths plus m ⇒ 7 1/9 equals two and four fifths plus m

two and four fifths means 2 4/5

So, we have the following representation

seven and one ninth equals two and four fifths plus m ⇒ 7 1/9 equals 2 4/5 plus m

Lastly, plus and equals can be represented as + and =

This gives

seven and one ninth equals two and four fifths plus m ⇒ 7 1/9 = 2 4/5 + m

Hence, the equation is 7 1/9 = 2 4/5 + m

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Complete question

Translate the sentence into an equation.

seven and one ninth equals two and four fifths plus m

How do you find the AB segment?

Answers

The AB segment is the line connecting the midpoints of two sides of a triangle. To find it, first locate the midpoints of two sides of the triangle. Then draw a straight line between the two midpoints to form the AB segment.

The AB segment is an important line in a triangle. It is found by connecting the midpoints of two sides of the triangle. To locate the midpoints, first identify the two sides of the triangle. Then measure the length of each side and divide by two. Mark the midpoints of each side, and then connect them with a straight line. This forms the AB segment. It is important to note that the AB segment does not bisect the triangle, but instead, it is the line connecting the midpoints of two sides of the triangle. The AB segment is used to determine certain properties of the triangle, such as its area and perimeter.

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The process of finding the Segment AB is explained below.

The term segment in math is defined as line segment is bounded by two distinct points on a line or here we can say a line segment is part of the line that connects two points.

Here we have to find the way to identify the AB segment.

Here as we all know that Line segment that is named as AB is bound between two fixed points.

According to this case, here we have the line segment is bound between the fixed points A and B as follows:

Therefore the line segment AB starts from point A and ends at point B.

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Which of the following theorems deals with the two triangles whose two corresponding sides are congruent and whose included angle are unequal?
A. SAS Inequality Theorem
B. SSS Inequality Theorem
C. Angle-Side Relationship Theorem
D. Exterior Nagle Inequality Theorem

Answers

A. SAS Inequality Theorem , theorem can be used to prove triangle congruence, as congruent sides and angles can be used to determine the length of the third side, thereby proving congruence.

The SAS Inequality Theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the third side of the triangle must be greater in the triangle with the larger included angle.

The SAS Inequality Theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the third side of the triangle must be greater in the triangle with the larger included angle. This theorem is important to remember when comparing similar triangles, as it can help determine which triangle has the greater side length. This theorem can also be used to determine if a triangle is acute or obtuse, as the greater included angle will lead to the longer side being on the opposite side of the triangle. Additionally, this theorem can be used to prove triangle congruence, as congruent sides and angles can be used to determine the length of the third side, thereby proving congruence.

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The ratio of the corresponding linear measures of two similar cans of vegetables is 3 to 5. The smaller can has a surface area of 270 square centimeters. Find the surface area of the larger can.

Answers

Answer:

Step-by-step explanation:

540

i needddd hwlppp but please

Answers

20. (0, -2), (3, 1)

(1+2)/(3-0)= 3/3= 1

y + 2= x - 0

y= x - 2

21. (0,4), (4, 2)

(2-4)/(4-0)= -2/4= -1/2

y - 4 = -1/2(x - 0)

y - 4 = -1/2x + 0

y= -1/2x + 4

22. (0, 1), (2, -3)

(-3-1)/(2-0)= -4/2= -2

y - 1 = -2(x - 0)

y - 1= -2x + 0

y = -2x + 1

23. (0, -3), (2, 1)

(1 + 3)/(2 - 0)= 4/2= 2

y + 3 = 2( x - 0)

y + 3 = 2x - 0

y = 2x - 3

Which data set could be represented by this box plot?

Answers

The data set that could be represented by the box plot would be = 32,36,27,30,35,39,28,34. That is option D.

What is a box plot?

The box plot is defined as the type of data representation that is used in descriptive statistics to show the distribution of numerical data such as the number of hours Judy takes to complete a quilt.

The characteristics of the box plot is that is shows the outliers, the median, and the mode of the given numerical data.

Therefore, the data set that could be represented by the box plot would be = 32,36,27,30,35,39,28,34.

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what is the unit rate of (3,500), (6,1,000)

Answers

Answer:

im no sure but here you go :) unit rate = 0.05738

Step-by-step explanation:

NAME 6-3 Skills Practice Elimination Using Addition and Subtraction Use elimination to solve each system of equations. 1. x - y = 1 x + y = 3 2. x + y = 1 x + y = 11 3. x + 4y = 11 x - 6y = 11 4. -3 + 3y = 6 x + 3y = 18

Answers

The solution for the equation is,

1. x = 2 and y = 1

2. no solution,

3. y = 0 and x = 11

4. x = 4/3 and y = 10/3

What are linear equations?

When an algebraic equation is graphed, it always results in a straight line since each term in a linear equation has an exponent of 1. For this reason, it is referred to as a "linear equation."

There are both one-variable and two-variable linear equations.

Given sets of equations,

1. x - y = 1

x + y = 3

add both the equations we get,

x - y + x + y = 1 + 3

2x = 4 (+y and -y eliminated)

x = 4/2 = 2

substitute value of  x

x + y = 3

2 + y = 3

y = 3 - 2 = 1

x = 2 and y = 1

2.  x + y = 1

x + y = 11

the equation has no solution because In this case, the two lines representing the equations are parallel to each other.

3. x + 4y = 11

x - 6y = 11

since both equations have the common constant for x we can subtract the equations,

x + 4y -(x - 6y) = 11 - 11

4y + 6y = 0

y = 0 and x = 11

4. -3x + 3y = 6

6x + 3y = 18

subtract equation 1 from 2

6x + 3y -(-3x + 3y) = 18 - 6

6x - 3y + 3x - 3y = 12

9x = 12

x = 12/9 = 4/3

substitute value of x

-3x + 3y = 6

-3(4/3) + 3y = 6

-4 + 3y = 6

y = 10/3

Hence the solution is 1. x = 2 and y = 1

2. no solution,

3. y = 0 and x = 11

4. x = 4/3 and y = 10/3.

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7/2=
3/5=
Rewrite each fraction with a denomenator of 10

Answers

7/2 = 35/10

3/5 = 6/10
Answer:

7/2 = 35/10
3/5 = 6/10

10.メ-2(x-y)-2 Fx = -3,y=4
and z = -1
problem in the photo
algebra

Answers

The value of the expression x²-2(x-y)-z³ is 24.

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given;

Expression x²-2(x-y)-z³

To find the value of the expression:

If x = -3, y=4 and z = -1.

Substituting the values to the expression,

x²-2(x-y)-z³

= (-3)²-2(-3-4)-(-1)³

= 9 + 14 - (-1)

= 9+14+1

= 24

Therefore, 24 is the value of the expression.

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For questions 1-8, use the ellipse defined by the following equation: (x-4)^2/36+(y+2)^2/16=1
1. what are the coordinates of the center
2. What is the length of the major axis.
3. What is the length of the minor axis.
4. What is the sum of the local radii
5. What are the coordinates of the foci.
6. What are the coordinates of the vertices.
7. Find the eccentricity of the ellipse.
PLEASE SHOW WORK.

Answers

Answer:

Step-by-step explanation:

The standard form of the ellipse equation is (x-h)²/a² +(y-k)²/b² =1

This equation is for a horizontal ellipse. (a) is always bigger than (b) in ellipses. Because (a²) is under the x, that's why this ellipse is horizontal.

Now, let's answer the questions:

1. The center coordinates are (h,k) which are (4,-2) by comparing the two equations.

2. length of the major axis = 2a , let's find (a)

if you compare the two equations, a²=36 , that means a=6

Then 2a=12

3. length of the minor axis = 2b , let's find (b)

if you compare the two equations, b²=16 , that means b=4

Then 2b=8

4. the sum of the local radii = length of the major axis = 12

5. to find the foci, we have to find the value of (c), we have to use the equation a²=b²+c²

plugin a² and b², 36=16+c² , solve it, c=√20 =2√5

Now, to find the coordinates of the foci, we have to add and subtract the (c) value from the x-coordinate of the center while the y-coordinate stays the same (because this ellipse is horizontal).

the coordinates of the foci are (4+2√5 , -2) and (4-2√5 , -2)

6. the vertices are the end points of the major and the minor axes. To find the vertices on the major axis, add the value of (a) to the x-coordinate of the center while the y-coordinate stays the same.

(4+6,-2) and (4-6,-2) , this leads to (10,-2) and (-2,-2)

To find the vertices on the minor axis, add the value of (b) to the y-coordinate of the center while the x-coordinate stays the same.

(4,-2+4) and (4,-2-4) , this leads to (4,2) and (4,-6)

7. eccentricity (e)=c/a =(2√5)/6 = (√5)/3

What is the average rate of change for this function for the interval from x = 2 to x = 4?.

Answers

The average rate of change over the interval from x = 2 to x = 4 is 2.

The average rate of change for a function over an interval is the slope of the secant line that connects the two points on the graph. The average rate of change can be found by using the formula:

Average Rate of Change = (y2 - y1) / (x2 - x1)

For the given function, the average rate of change over the interval from x = 2 to x = 4 can be found by substituting the appropriate values into the formula:

Average Rate of Change = (f(4) - f(2)) / (4 - 2)

Substituting the function values, we get:

Average Rate of Change = (6 - 2) / (4 - 2)

Simplifying, we get:

Average Rate of Change = 4 / 2

Therefore, the average rate of change over the interval from x = 2 to x = 4 is 2.

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Is (–3, 1) a solution to the equation y = x?
yes or no

Answers

No, the given pair of coordinates as required to be assessed is not a solution to the equation; y = x.

What verdict is correct about ( -3, 1 ) being a solution to the equation; y = x?

It follows from the task content that the verdict which is true about whether the given pair of coordinates ( -3, 1 ) is a solution to the equation; y = x.

Since the given equation is; y = x and the given pair of coordinates is; ( -3, 1 ).

Recalling that it follows from convention that coordinate pairs are written as; ( x, y ).

On this note, for the given pair of coordinates; ( -3, 1 ), it follows that; x = -3 and y = 1.

Therefore, by substitution; since; 1 ≠ -3, it follows that the given pair of coordinates is not a solution for the equation.

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Help with geometry similar triangles.

Answers

Therefore , the solution of the given problem of triangle comes out to be x= 5/8  .

A triangle is what exactly?

An triangle is a polygon since it has four or more parts. It is a simple geometric shape. A square having angles A, B, and C is referred to as a triangle ABC. When the sides are not collinear, Euclidean geometry generates a single plane and square. If a triangle has three sides and three corners, it is a polygon. The corners of a triangle are where its three sides meet. The sum of the angles in a triangle is 180 degrees.

Here,

Given : Similar triangle,

To find the value of x

thus ,We get

=> 3x +  5x + 12 = 6 +11

=> 8x + 12 = 17

=> 8x = 17-12

=> 8x =5

=> x =5/8

Therefore , the solution of the given problem of triangle comes out to be

x= 5/8  .

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BRAINLIEST AND SET A 100


The data below lists the number of pages Tamara read and the time it took her to read them.


Tamara read 25 pages in 36 minutes.

Tamara read 48 pages in 63 minutes.

Tamara read 52 pages in 74.5 minutes.


Determine which table below represents a two-column table for the given data.

Answers

The table that represents the two-column table for the data in this problem is given by the image shown at the end of the answer.

How to build the two-column table?

As the own name of the table says, the two-column table is composed by two-columns.

The columns of the table are defined as follows:

Left column: input variable.Right column: output variable.

The input and the output variables for this problem are given as follows:

Input variable: time, in minutes.Output variable: number of pages read.

Then the table is composed by four rows, as follows:

Time (minutes) - Number of pages

25                     - 36

63                     - 48

74.5                  - 52

Which is illustrated on the image shown at the end of the answer.

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What is the square root of 3,600?

Answers

The square root of 3,600 is 60.

Answer:

60

Step-by-step explanation:

Root of 3600 is the same as the root of (2×2)×(2x2)×(3×3)×(5×5) which is the same as 2×2×3×5 which is 60.

use the aleks calculator to write 9/14 as a decimal rounded to the nearest hundredth

Answers

Using Aleks calculator to write 9/14 as a decimal and rounding up to the nearest hundredth is 0.64.

What is Aleks calculator?

This refers to an artificial,  intelligent learning and assessment device that students use in academic filed such as: Mathematics, Chemistry, Statistics, and Accounting. It helps students to quickly and accurately solve arithmetics and get precise answers in some subjects areas. Aleks enables the student to work on the topics they are ready to learn.

For the division of the given question:

Aleks calculator was used to show the step-by-step division.  

  [tex]\frac{9}{14}[/tex] = 0.6428

Rounding to the nearest hundredth, the result of the division is 0.64.

(The third decimal place is 2, which is smaller than 5, so after rounding, the second decimal place is not changed).

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Write a linear two-variable equation that represents the graph.

Answers

The linear two-variable equation that represents the graph is y = -2x + 4.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Two coordinates from the graph:

(0, 4) and (1, 2)

m = (2 - 4) / 1 = -2/1 = -2

Now,

y = mx + c

(0, 4) = (x, y)

4 = 0 + c

c = 4

Now,

y = -2x + 4

Thus,

The equation that represents the graph is y = -2 + 4.

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Bridgette's town had an election last month. 70 out of the 100 people in the town voted
in the election. What percentage of the people voted?

Answers

answer:

70%

steps:

in word problems

'out of' means ÷ or divide

70 out of the 100 people means

70÷100

70÷100= .7

move the decimal 2 spots to the right to percent

70%

Answer:

70%

Step-by-step explanation:

Percentage

Example: 6 out 20 = [tex]\frac{6*5}{20*5} =\frac{30}{100} = 30 percent[/tex]

Solution

Given from the question:

[tex]\frac{70}{100} = 70 percent[/tex]

How many coins would you need to make all possible rows of 6 coins (not necessarily with equal numbersof pennies and nickels)

Answers

Using combination, a) the number of coins = 120 b) the number of coins would needed to make all possible rows of 6 coin is 384.

a) Based on the provided information, each row is a 6-bit string (6 coins) and its weight is 3 (3 pennies). Therefore, using combination the possible number of rows will be 6C3. The formula for combination is given by:

nCr = n!/r!(n – r)!

Hence,

6C3 = 6!/3!(6 – 3)! = 6!/3!3! = 6*5*4*3!/ 3*2*1*3! = 20

And in case each row requires 6 coins simultaneously, the number of coins = 6*20 = 120 coins

b) Based on the provided information, the possible number of rows will be 2^6 = 64. It can also be obtained using combination the possible number of rows will be sum of 6C0, 6C1, 6C2, 6C3, 6C4, 6C5, and 6C6.

Hence,

6C0 + 6C1 + 6C2 + 6C3 + 6C4 + 6C5 + 6C6

6!/0!(6 – 0)! + 6!/1!(6 – 1)! + 6!/2!(6 – 2)! + 6!/3!(6 – 3)! + 6!/4!(6 – 4)! + 6!/5!(6 – 5)! + 6!/6!(6 – 6)!

6!/0!6! + 6!/1!5)! + 6!/2!4! + 6!/3!3! + 6!/4!2! + 6!/5!1! + 6!/6!0!

1 + 6 + 15 + 20 + 15 + 6 + 1

64

Therefore, the number of coins needed = 6*64 = 384 coins. The number of coins in each row = 384/2 = 192 coins

Hence,

Note: The question is incomplete. The complete question probably is: You break your piggy-bank to discover lots of pennies and nickels. You start arranging these in rows of 6 coins. (a) You find yourself making rows containing an equal number of pennies and nickels. For fun, you decide to lay out every possible such row. How many coins will you need? b) How many coins would you need to make all possible rows of 6 coins (not necessarily with equal number of pennies and nickels)?

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Help me aspp please thank you!!

Answers

The answer is d they did not dump tea into the Boston harbor

i need someones help please asap

Answers

Answer:

y = - [tex]\frac{8}{7}[/tex] x + [tex]\frac{8}{7}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, 8 ) and (x₂, y₂ ) = (1, 0 )

m = [tex]\frac{0-8}{1-(-6)}[/tex] = [tex]\frac{-8}{1+6}[/tex] = - [tex]\frac{8}{7}[/tex] , then

y = - [tex]\frac{8}{7}[/tex] x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation.

using (1, 0 ), that is x = 1, y = 0

0 = - [tex]\frac{8}{7}[/tex] + c ⇒ c = 0 + [tex]\frac{8}{7}[/tex] = [tex]\frac{8}{7}[/tex] , so

y = - [tex]\frac{8}{7}[/tex] x + [tex]\frac{8}{7}[/tex] ← equation of line

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Given right triangle ABC, what is the value of tan(A)?
L

Answers

On solving the provided question, we can say that value of tan(a) in right triangle ABC = sin(A)/cos(A) = B/P

What is triangle?

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

we have a right triangle ABC

angle B = 90

so,

value of tan(a) = sin(A)/cos(A) = B/P

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How many types of fraction names are there?

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There are three types of fraction names: proper fractions, improper fractions, and mixed fractions.

A proper fraction is a fraction that has a numerator smaller than the denominator. For example, 2/5 is a proper fraction.

An improper fraction is a fraction that has a numerator larger than or equal to the denominator. For example, 7/5 is an improper fraction.

Combining a whole number and a fraction creates a mixed fraction.

For example, 3 1/2 is a mixed fraction. All three types of fraction names are used to express the value of a fraction in a different way.

Proper fractions, improper fractions, and mixed fractions are all used to represent the same value of a fraction, just in different ways.

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What does a sign with a reflective orange triangle with a red border on each of the three sides warn you of

Answers

This triangle is warning you to slow down and be prepared to stop. It indicates that a railroad crossing is ahead and you should proceed with caution.

This sign is warning you that a railroad crossing is ahead, and you should proceed with caution. The triangle shape is reflective orange with a red border on each of the three sides. This sign indicates that you should slow down and be prepared to stop as a train may be approaching. You should also look both ways for any oncoming trains before continuing to cross the tracks. Additionally, you should never try to drive around a lowered crossing gate and never cross the tracks until you are sure that it is safe to do so. Always obey the signs and signals at railroad crossings and never take any chances when it comes to safety. Following these rules will help to ensure that everyone stays safe when crossing railroad tracks.

the complete question is : What does a sign with a reflective orange triangle with a red border on each of the three sides warn you off ?

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The sign with a reflective orange triangle with a red border on each of the three sides warn you of Slow moving vehicles.

Here we have to find the reason behind sign with a reflective orange triangle with a red border on each of the three sides.

Basically this type of sign are look like a warning triangle which is also an equilateral  triangle of around 600mm in size made of red reflective material. Where it can be put on the side of the road by anyone to warn other drivers of a breakdown or crash ahead.

And it must also said that the reflective orange triangle on the rear of a vehicle means it is traveling 35 mph or less. And here you may see this sign on road maintenance equipment, farm vehicles, or horse- drawn wagons.

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