The two-way table shows the number of students that do or do not do chores at home and whether they receive an allowance or not. Allowance No Allowance Do Chores 13 3 Do Not Do Chores 5 4 a. How many total students do chores? b. What is the relative frequency of students that do chores and get an allowance to the number of students that do chores? Round to the nearest hundredth if necessary.

Answers

Answer 1

Given the table showing the number of students who do or do not perform chores, and who do or do not receive an allowance, we can add the numbers along the rows and columns, as shown in the diagram below:

Now, that we have summed the numbers along the vertical and horizontal directions, we can now proceed to answer the questions asked.

a.) The total number of students who do chores is equal to the horizontal sum of the numbers in the 'DO CHORES' row. This value is 16

Thus, 16 students do chores

b) The relative frequency of the students that do chores and get an allowance to the number of students that do chores is simply the ratio of the value in the cell that represents an intersection of the first 'DO CHORES' row, and the first 'ALLOWANCE' column, to the value that represents the sum of all the students that do chores ( i.e, the value at the end of the first row).

Thus, this is equal to = 13/16

Therefore, 13/16 is the relative frequency of the students that do chores and get an allowance to the number of students that do chores

c) The relative frequency of the students that do not do chores nor get an allowance to the total number of students, is simply the ratio of the value in the cell that represents an intersection of the second 'DO NOT DO CHORES' row, and the second 'NO ALLOWANCE' column, to the sum of the values in the last row or the last column.

Thus, this is equal to = 4/( 18 + 7) OR 4/(16 + 9) both of which is still 4/25

Therefore, 4/25 is the relative frequency of the students that do not do chores nor get an allowance to the total number of students.

d) The students who do not do chores are a total of 9

Of this 9, the number of students that do receive their allowance fall under the 'ALLOWANCE' column, and is equal to 5.

Therefore, expressed as a percentage of those who do not do their chores, the students who do not get an allowance are = (5/9) * 100 = 55% ( to the nearest whole number)

Thus 55% of students who do not do chores do not get an allowance

The Two-way Table Shows The Number Of Students That Do Or Do Not Do Chores At Home And Whether They Receive

Related Questions

Carolyn leases a new Hyundai Elantra by paying $2600 up front and $170 a month over three years. The lease also stipulates he will be charged $0.12 per mile for every mile over 36,000. If she puts 40,693 miles on the car, what will be the total cost of the lease?

Answers

40,693-36,000= 4,693 (amount over in miles)
4,693 x $0.12= $563.16 (cost of the mile overage)
3 years= 36 months. (Multiply 3 x 12)
Now multiply 36 x $170 a month = $6,120.
$2,600 (up front cost) + $563.16 (cost of mile overage) + $6,120 (cost over 3 years) = $9.283.16 ( answer)

Stanley bought sneakers, a pair of pants, a t-shirt and a jacket for $535.00. The sneakers cost 5 less than the jacket, the pants cost $50 less than the jacket, and the t-shirt cost $10 less than three times the jacket. Find the cost of each item.

Answers

The cost of Sneakers, pair of pants, Jacket and T-shirt are $95, $50, $100 and $290 respectively.

This can be solved by forming linear equations. A linear equation is the one which can be represented in the form ax + b = 0 where a, b are coefficients and x is the independent variable. Let us assume the cost of Sneakers be 's', cost of Pants be 'p', cost of Jacket be 'j' and cost of t-shirt be 't'.

The cost of all the items is equal to $535

s + p + j + t = $535                 ......(1)

Sneakers cost $5 less than the jacket

s = j - $5                                 ......(2)

Pants cost $50 less than the jacket

p = j - $50                              ......(3)

T-shirt cost $10 less than three times the jacket

t = 3j - $10                              ......(4)

Putting the values of equation (2), (3) and (4) in equation (1)

j - $5 + j - $50 + j + 3j - $10 = $535

6j = $535 + $65

=> 6j = $600

=> j = $100 which is the cost Jacket.

Now, s = $100 - $5 = $95 which is the cost of Sneakers.

p = $100 - $50 = $50 which is the cost of pair of pants.

t = $300 - $10 = $290 which is the cost of t-shirt.

Learn more about linear equation at:

brainly.com/question/28307569

#SPJ1

What is the answer pleasee

Answers

The value of interior angle x for the given pentagon if found as 88 degrees.

What is termed as the pentagon?A pentagon is a two-dimensional polygon with 5 sides and 5 angles.This shape should have five sides and form a closed two-dimensional figure. A closed figure consists of each of its sides intersecting to form vertices.Five diagonals connect the five vertices to one‘s opposite vertices in a pentagon shape.Each interior angle in a regular pentagon is 108°, so each exterior angle is 72°.

For the given question;

The exterior angles of the pentagon are given in figure.

Find all the interior angles for given angles using linear pair as all are straight lines.

180 - 62 = 118180 - 33 = 147180 - 114 = 66180 - 59 = 121

The sum of all the interior angle of pentagon is 540.

Thus,

118 + 147 + 66 + 121 + x = 540

x = 540 - 452

x = 88

Thus, the value of interior angle x for the given pentagon if found as 88 degrees.

To know more about the pentagon, here

https://brainly.com/question/25917702

#SPJ13


P(6, -3); y =1/2 x + 2
Write an equation for the line in point-slope form.

Answers

Equation for the line in point-slope form is 5x + 6y = 6.

What is point slope form?

The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form.

Given Data

P(6, -3)

y =1/2 x + 2

When the equation has been solved for y, the line in slope intercept form with slope = m = 1/2 = the coefficient of the x term is represented by the equation y= (1/2)x + 2. 2 represents the y coordinate of the location (0, 2) where the line intersects the y axis as the y intercept.

So, the points are (6,-3) and (0,2)

Formula

y₂ - y₁ = m(x₂ - x₁)

slope of the line (m) = [tex]\frac{x-x}{y-y}[/tex]₁¹

m= [tex]\frac{2-(-3)}{0-6}[/tex]

m = -[tex]\frac{5}{6}[/tex]

Equation

y- (-3) = -[tex]\frac{5}{6}[/tex](x- 6)

y +5 = -[tex]\frac{5}{6}[/tex]x + 6

y + 5 = -[tex]\frac{5+36 }{6}[/tex]

6y + 30 = -5x + 36

5x + 6y = 6

Equation for the line in point-slope form is 5x + 6y = 6.

To learn more about  point slope form, visit:

https://brainly.com/question/24436844

#SPJ13

vinny has decided to order high tops in black and white at a 5.8 ratio. he beleives he will need a total of 169 pairs. how many black high tops will he order

Answers

Answer:

 65 pairs

Step-by-step explanation:

Black makes up 5/(5+8) = 5/13 of the total order, so ...

 (5/13)(169 pairs) = 65 pairs

Vinny will order 65 pairs of black high tops.

radicals that have the same index and the same radicand is this true

Answers

Given the expression;

[tex]\frac{\sqrt[]{2}}{7}\times\sqrt[]{7}\times\sqrt[]{14}[/tex]

Step 1:

[tex]\begin{gathered} \frac{\sqrt[]{2}}{7}\times\sqrt[]{7}\times\sqrt[]{7}\times\sqrt[]{2} \\ \end{gathered}[/tex]

Step 2:

[tex]\begin{gathered} \sqrt[]{2}\times\sqrt[]{2}=2 \\ \sqrt[]{7}\times\sqrt[]{7}=7 \\ \frac{\sqrt[]{2}}{7}\times\sqrt[]{7}\times\sqrt[]{7}\times\sqrt[]{2}=\frac{2\times7}{7} \end{gathered}[/tex]

Step 3:

[tex]\begin{gathered} \frac{\sqrt[]{2}}{7}\times\sqrt[]{7}\times\sqrt[]{14}=\frac{2\times7}{7} \\ \frac{\sqrt[]{2}}{7}\times\sqrt[]{7}\times\sqrt[]{14}=2 \end{gathered}[/tex]

The solution is;

[tex]2[/tex]

This is my practice review me I have unlimited attempts. I need help with this question

Answers

Let x represent the number of pounds of coffee that she bought.

From the information given,

cost per pound of coffee = $8.73

Cost of x pounds of coffee = 8.73 * x = 8.73x

Initial amount that she had = $90

After spencing $8.73x, the amount left is $63.81. This means that

90 - 8.73x = 63.81

8.73x = 90 - 63.81

8.73x = 26.19

x = 26.19/8.73

x = 3

She bought 3 pounds of coffee

Please answer correctly and explain how you got it please don't have but it would help.

Answers

Answer: Linear

Step-by-step explanation:

Each time [tex]x[/tex] increases by [tex]1[/tex], [tex]y[/tex] decreases by [tex]8[/tex]. Since the value of y changes at a constant rate, the relationship is linear.

Factor 540 into product of prime factors

Answers

Step 1

Given;

[tex]540[/tex]

Required; To factor it out into products of prime factors.

Step 2

A prime factor is a factor that is a prime number. In other words: any of the prime numbers that can be multiplied to give the original number is a prime factor. Examples of prime factors are; 1,2,3,5 etc. When a composite number is written as a product of all of its prime factors, we have the prime factorization of the number.

Step 3

Find the prime factor of 540

Therefore, the prime pr

six times the sum of four and a number is 7. what is the number?

Answers

Step-by-step explanation:

6×(4 + x) = 7

24 + 6x = 7

6x = -17

x = -17/6 = -2.833333333... = -2 5/6

Which graph shows a proportional relationship between the number of hours of renting a pair of roller skates and the total amount spent to
rent the roller skates?

Answers

Answer:

You were right. The answer is (C)

Step-by-step explanation:

Remember, the line always goes up in the top right corner, also the first dot is 2,20, to 4,40, to 6,60, and last 8,80 which is the number of the same total amount and number of hours.

From the diagram below, if the sides AD = 3 and DC = 27, and BD = X + 3, find x.

Answers

Given:

• AD = 3

,

• DC = 27

,

• BD = x + 3

Let's solve for x.

To solve for x, apply the altitude formula:

[tex]\frac{AD}{BD}=\frac{BD}{DC}[/tex]

Where BD is the altitude.

Cross multiply:

[tex]BD^2=AD*DC[/tex]

Plug in the values and solve for x:

[tex]\begin{gathered} (x+3)^2=3*27 \\ \\ (x+3)^2=81 \end{gathered}[/tex]

Take the square root of both sides:

[tex]\begin{gathered} \sqrt{(x+3)^2}=\sqrt{81} \\ \\ x+3=9 \\ \\ \text{ Subtract 3 from both sides:} \\ x+3-3=9-3 \\ \\ x=6 \end{gathered}[/tex]

Therefore, the value of x is 6 .

ANSWER:

d. 6

Need help with a geometry problem. it is a scalene triangle with a parallel line through it which is x+1. the base is going to be 3x-2 and is parallel with x+1. on the right of x+1 there should be 12 at the top then 20 will split it . I need to solve for x

Answers

[tex]\begin{gathered} \Rightarrow\frac{12}{x+1}=\frac{32}{3x-2} \\ \Rightarrow12(3x-2)=32(x+1) \\ 36x-24=32x+32 \\ 36x-32x=32_{}+24 \\ 4x=56 \\ x=14 \end{gathered}[/tex]

in the standard (x y) coordínate plane what’s the slope of a line that’s perpendicular to

Answers

Answer:

A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line.

Y=-3/2x-1. Graph integers?

Answers

The graph of the figure is attached below.

Given equation of line:-

y = (-3/2)x - 1

First we will find the x and y intercepts of the line to plot in the line.

Putting x = 0 to find the y-intercept, we get,

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

y = -1

Hence, the coordinates of the point are (0,-1).

Putting y = 0 to find the x-intercept, we get,

0 = (-3/2)x - 1

1 = (-3/2)x

x = -2/3

Hence, the coordinates of the point are (-2/3,0).

We can find another point on the line.

Putting x = 2, we get,

y = (-3/2)(2) - 1

y = -3 - 1

y = -4

Hence, the coordinates of the point are (2,-4).

Plotting these in a graph, we can get a straight line.

To learn more about graph, here:-

https://brainly.com/question/17267403

#SPJ1

Find the constant of proportionality for the proportional relationship between weight and cost shown in the table. Then find the cost of 10 oz of green beans. Cost of Green Beans Weight (oz) Cost($) 8 1.12 12 1.68 16 2.24 The constant of proportionality is $0.14 per ounce. The cost of 10 oz of green beans is $ VE S 4.1 More 10 Enter your answer in each of the answer boxes. Next Back of 16 Question 1 Review progress

Answers

[tex]undefined[/tex]

Select the reason why these triangles are similar. If they are not, select "Not similar". 88 3 2 88 B. SAS A. AA D. Not similar C. SSS

Answers

From the given figure

The 2 triangles have one equal angle of measure 88

The side of length 3 and the side of length 1 have a ratio 3: 1

The side of length 6 and the side of length 2 have a ratio 6: 2, when we divide both terms of the ratio by 1, it becomes 3: 1

That means we have one equal angle and two proportional sides

Since the angle is between the proportional sides, then

The 2 triangles are similar by the SAS postulate

Answer B

Predict the amount of tips that would be collected if 100 customers were served at the restaurant on a given day Explain your reasoning. Answer is $178 explain your answer thank you! 40 points if answered correctly!!

Answers

Answer:

$194.69

Step-by-step explanation:

The best way to predict the amount of tips is using this formula:

[tex]100(\frac{Tips(total)}{Customers(total)} )[/tex]

This finds the average tip per customer with all of the data, and multiplies it by 100 to get the predicted amount of tips for 100 customers.

Plugging in the data from the table gives you this equation:

[tex]100(\frac{1174}{603} )[/tex]

This equals $194.69.

Describe a series of transformations Matt can perform to decide if the two windows are congruent

Answers

Answer:

See below

Step-by-step explanation:

Rotate rectangle A 90 ° clockwise with the center being the lower right hand corner.  Then translate down and right until rectangle A in over rectangle B

MARKING BRAINLIEST What are the lengths of the major and minor axes of the ellipse?

(x−3)212+(y+4)224=1

Drag a value to the boxes to correctly complete the table.

Answers

The lengths of the major and minor axis of the ellipse, are;  4√6 and 4√3 respectively.

What is an ellipse in coordinate geometry?

An ellipse describes the locus of a point on a curve, such that the sum of the distance between two focal points from the points on the curve is a constant.

The function of the ellipse can be calculated as follows;

[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]

Where (h, k) = The coordinates of the center of the ellipse

a = The length of the semi-major axis

b = The length of the semi-minor axis

Now,

[tex]\dfrac{(x-3)^2}{12} + \dfrac{(y+ 4)^2}{24} =1[/tex]

By comparison, we have;

(h, k) = (3, -4)

a = √(24) = 2√6

b = √(12) = 2√3

The length of the major axis is 2a

The length of the minor axis is 2b

The length of the major axis will be;

2a = 2 × 2√6 = 4√6

The length of the minor axis will be;

2b = 2 × 2√3 = 4√3

Learn more about the equation of an ellipse here:

brainly.com/question/23778726

#SPJ1

What is the Expanded form of 45,803

Answers

Answer: 40000

+ 5000

+ 800

+ 3

Step-by-step explanation:

The expanded form splits the number, and it represents the number in units, tens, hundreds and thousands form.

HELP ME WITH IS PROBLEM THANK YOU

Answers

The given algebraic expression would be equivalent to the expression [tex]\dfrac{1}{4(x)^\frac{2}{9} }[/tex] which is the correct answer would be an option (B)

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The given algebraic expression is:

[tex](64x^{\frac{2}{3} })^{-\frac{1}{3} }[/tex]

Apply the property of a⁻ˣ = 1/aˣ in the above term,

[tex]\dfrac{1}{ (64x^{\frac{2}{3} })^{\frac{1}{3} }}[/tex]

Here 64 = 4×4×4 = 4³

[tex]\dfrac{1}{ (4^3x^{\frac{2}{3} })^{\frac{1}{3} }}[/tex]

Apply the cube root property and Multiply the exponent of the variable x to 1/3

[tex]\dfrac{1}{ 4x^{\frac{2}{3} }^\times^{\frac{1}{3} }}[/tex]

Apply the multiplication operation to the exponent of the variable x to get the solution.

[tex]\dfrac{1}{4(x)^\frac{2}{9} }[/tex]

Hence, the correct answer would be an option (B)

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ1

number in expended form

675,432

Answers

Answer:  600,000 + 70,000 + 5,000 + 400 + 30 + 2

Explanation:

Each digit forms a different number depending on its place value.

The 6 is in the hundred thousands place value, so the 6 in 675,432 corresponds to 600,000. Similar ideas apply for the other digits as well

Two buses leave Dallas at the same time traveling in opposite directions. One bus travels at 59 mph and the other at 54 mph. How soon will they be 791 miles apart?

Answers

Let t be the time, in hours, elapsed till the buses are 791 miles apart, then we can set the following equation:

[tex]59mph\cdot t+54\text{mph}\cdot t=791\text{ miles.}[/tex]

Solving the above equation for t we get:

[tex]\begin{gathered} 113\text{ mph}\cdot t=791miles, \\ t=\frac{791}{113}\text{hours,} \\ t=7\text{ hours.} \end{gathered}[/tex]

Answer: 7 hours.

Does anyone understand this geometry question

Answers

Answer:

This is an isosceles right triangle, so

x = 45°.

45. Write an inequality that represents the graph. Explain it step by step please.

Answers

Answer: x < -4

Step-by-step explanation:

➜ First thing we notice is the open circle. This means we will use either < or >

➜ The next thing we notice is that the values are pointing to the left of the circle, this means we will be using <

➜ The last part we notice is that the dot is on -4. This is the value we'll use to write our inequtliy.

    The last thing to do is to write the inequality using the parts we pointed out above:

x < -4

Write the equation of the perpendicular bisector of XY if endpoint X is at (-9,1) and endpoint Y is at (3,5). A) y = -X B) y = 3x - 6 C) y = -3x - 6 D) y = 3x + 12

Answers

A perpendicular bisector is a segment which intersects another segment on its midpoint and with a right angle.

First, we have to find the midpoint between X(-9,1) and Y(3,5), as follows

[tex]\begin{gathered} M=(\frac{-9+3}{2},\frac{1+5}{2}) \\ M=(\frac{-6}{2},\frac{6}{2}) \\ M=(-3,3) \end{gathered}[/tex]

This means the perpendicular bisector must pass through (-3,3). Now, with the given points we find the slope of XY

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{5-1}{3-(-9)}=\frac{4}{3+9}=\frac{4}{12} \\ m=\frac{1}{3} \end{gathered}[/tex]

Then, we apply the rule of perpendicularity to find the slope of the perpendicular bisector.

[tex]\begin{gathered} m_1\cdot m=-1 \\ m_1=\frac{-1}{m} \\ m_1=-\frac{1}{\frac{1}{3}}=-3 \end{gathered}[/tex]

Now, we use the slope-point formula to find the equation for the perpendicular bisector.

[tex]y-y_1=m(x-x_1)[/tex]

Where we replace the slope -3 and the point (-3,3).

[tex]\begin{gathered} y-3=-3(x-(-3)) \\ y-3=-3x-9 \\ y=-3x-9+3 \\ y=-3x-6 \end{gathered}[/tex]Therefore, the right answer is C.

I need help with this question but no one is helping me! Can someone please help me​

Answers

Answer:

the probability is 2/8

Step-by-step explanation:

What system of linear inequalities is shown in the graph?

Enter your answers in the boxes.

Answers

Answer: [tex]y < \frac{1}{3}x+2, y < -2x+2[/tex]

Step-by-step explanation:

The equations of the lines are [tex]y=\frac{1}{3}x+2[/tex] and [tex]y=2-2x[/tex].

Since the line [tex]y=\frac{1}{3}x+2[/tex] has a dotted boundary and is shaded below, it represents the inequality [tex]y < \frac{1}{3}x+2[/tex].

Since the line [tex]y=2-2x[/tex] has a dotted boundary and is shaded below, it represents the inequality [tex]y < 2-2x[/tex].

Please help!

The volume of a sphere is 36 in³. What is the surface area?

Answers

Answer:

Step-by-step explanation:

V = 4/3.pi.r^3

36 = 4/3 pi r^3

8.6 = r^3

r = 2 in

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

Area of sphere :

A = 4.pi.r^2

A = 4 . Pi . 2^2

A = 16 Pi

A = 50.26 in

Other Questions
What type of figurative language is this? Simplify using long division: fraction with x cubed minus 4 times x squared plus 2 times x plus 2 in the numerator and x minus 1 in the denominator a x squared minus 3 times x minus 1 plus 1 over quantity x minus 1 end quantity b x squared minus 2 times x minus 2 plus 1 over quantity x minus 1 end quantity c x squared plus 2 times x plus 2 plus 1 over quantity x minus 1 end quantity d x squared plus 3 times x minus 1 plus 1 over quantity x minus 1 end quantity A company recorded an event that caused assets, liabilities and cash flow from financing activities to increase, but had no affect on net income. This event could have been due to ______. evaluate x=5 and y=7y2-x/y+3x What do economists mean by an economically efficient level of pollution? the economically efficient level of pollution is that amount where. triangle DEF is rotated 90 to the right to format the triangle with the side lengths shown below an increase in the price of blueberries would lead to a(n) a. increased supply of blueberries. b. a movement up and to the right along the supply curve for blueberries. c. a movement down and to the left along the supply curve for blueberries. d. both a and b are correc 25y-90y+81 Factor the polynomial completely I need help with question 6, I've included the prior answers from questions 1, 2 and 3 to help you. I've also included what the previous questions were so you have some context of the situation. Although, I think you only need the answers from part C ( which is the graph I've including) to answer question 6 Determine how long it will take for a principal amount of $13,000 to double its initial value when deposited into an account paying interest at a rate of 21.4 percent, continuously compounded Who has more power(the people who vote others into office) or the person who is voted into office by the people given angle HELP ASAP WILL GIVE BRAINLEST How many times larger is (1.064 x 101) than (7 x 101)? 0.152 15.2 6.58 7.448 Jade has four slices of chocolate cake.She gives a slice to Josh, Malaysia, and Jacob.What fraction of the cake did Jade give away? pls help me and give me an answer Select and solve the inequality Ryan is a wrestler trying to make weight. He currently weighs 200 lbs. If he cuts 2 lbs. per week, how many full weeks will it take him to weigh less than 175 lbs.? Choose an inequality below and solve it. 2w+175 175a.) 13 weeks b.) 12 weeks c.) 14 weeks d.) 10 weeks Which choices are equivalent to the fraction below? Check all that apply.330327O A. 357O B. 34O c. 27D. 33 1. You launch a toy rocket from a height of 5 feet. The height h, in feet of the rocket t seconds after taking off is given by the formula h = -3t2 + 14t + 5. Two cars are moving along a stright line in the same direction with a velocity of 25 km/h and 30 km/h respectively. find the velocity of car a relative to car b How do you write 8.61 101 in standard form?