HELP! 100 POINTS!!!
A baking company has developed two new cookie recipes, however, they only have the resources to add one item to their product line. They decide to randomly sample three groups of 100 people to determine which cookie recipe, A or B, is preferred. The results are shown in the following table.

Recipe A Recipe B
Sample #1 26 67
Sample #2 48 89
Sample #3 22 56

A. Based on the collected data, which recipe should the baking company add to their product line? How confident should the company be in their decision? Explain your reasoning using complete sentences.

B. Using the mean of the data for Recipe A, approximately what percentage of people would you expect to prefer Recipe A over Recipe B?

Answer:

3. You determine the sign of a number when you add a negative number and a positive number by taking the signn of the bigger number. For example -4+3 is -1 because the negative number is bigger than the positive so it takes its sign

4. you can make the number possible by making the number negative

First, determine the speed of Arielle by calculating the quotient in between 55 ft and 2 3/4 minutes. To find the quotient, convert the mixed number to a normal fraction before:

then, calculate the speed:

then, the Arielle's speed is 15 ft/min

next, find the distance traveled by Arielle in 15 min, by using the previous result:

Hence, in relation to the rim, Arielle will be at 225 ft

As a result, we deduce that 101 tickets were sold to adults and 171 to students after solving the algebraic equations.

The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables.

A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation.

So on the information provided to us:

we know that the total amount of the tickets sold =1694$

total no. of people = 272

Lets assume the no. of kids to be y and the adults to be x

So the first equation we get for the total no. of people is:

x+y=272...(i)

the next equation we get for the total amount of tickets sold will be equal to the no. of adults and  children multiplied by the cost of each adult and child respectively :
7x+4y=1694....(ii)

Two solve both equations simultaneously , we multiply equation i with 4

we get:

4x+4y=1088

7x+4y=1694

on solving both the equations simultaneously we get

3x=606

x=101

putting value of x in equation (i) we get

y=171

Therefore, we conclude that the no. of tickets sold to adults were 101 and to students were 171.

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The new price of the shirt is $11.70

The given parameters are

Price = 6.50

Make up percentage = 80%

The price of the shirt in the store is calculated as

New price = Old price + Old price * Make up percentage

Substitute the known values in the above equation

So, we have the following equation

New price = 6.50 + 6.50 * 80%

Evaluate the product

So, we have the following equation

New price = 6.50 + 5.20

Evaluate the sum

So, we have the following equation

New price = 11.70

Hence, the price of the shirt in the store is $11.70

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Answer:

69

Step-by-step explanation:

Rule:

[tex](fg)(x) = f(g(x))[/tex]

So,

[tex](fg)(4) = f(g(4))[/tex]

First solve g(4).

[tex]g(4) = 13 - 4[/tex]

[tex]g(4) = 9[/tex]

Plug g(4) into f(x).

[tex]f(g(4)) = (g(4))^2-12[/tex]

[tex]f(g(4)) = (9)^2-12[/tex]

[tex]f(g(4)) = 81-12[/tex]

[tex]f(g(4)) = 69[/tex]

We get that Juan has 14 patients to care for.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Let Juan has x patient to care for.

Therefore according to the question Dinh has x + 3 patients to care for.

Therefore,

The equation is  x + 3= 17

=> x = 17 -3

=> x = 14

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x = -16

The given equation is:

Multiply through by -8 (Equality property of multiplication)

Add 24 to both sides of the equation (Equality property of addition)

-24 + 24 + x = -40 + 24

x = -40 + 24

x = -16

Therefore, the solution to the equation is x = -16

Based on the distance between Cities A and B and also cities A and C, and the fact that the cities are on a straight line, the distance between City B and City C can be found to be 10 miles

The distance between cities A and B and cities A and C are related because they are on a straight line.

This means that the distance between  cities A and B and cities A and C can be used to find the distance between  cities B and C and also the distance between cities A and B and cities B and C can be used to find the distance between A and C.

To find the distance between cities B and C, formula is:

= Distance between cities A and C - Distance between cities A and B

= 110 - 100

= 10 miles

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For the total costs to be the same a pair of skis must be rented for 3 hours.

Two shops rent pairs of skis for a rental fee plus a fee per hour.

Let, the number of hours must a pair of skis be rented = x

Equation for Shop A,

3 + 9x                                                         equation 1

Equation for Shop B,

9 + 6x                                                         equation 2

Total cost for Shop A and Shop B is same so we can equate equation 1 and equation 2 as mentioned below:

3 + 9x = 9 + 6x

3x = 6

x = 3

Thus we can write,  for the total costs to be the same a pair of skis be rented for 3 hours.

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SolutionSoltuion:

From the question, the given value id

By applying the theorem above, we will have the value of XY be

Hence,

The final answer = 6

Given,

probability of randomly selected student is an honor roll student,

probability of randomly selected student is a varsity athlete,

The probability of the student is an honor roll student and a

varsity athlete,

The probability of multiple events is,

0.005661

The table to complete the proof is as follows

Equation                                                              statement

1. m∠ABD = 60°, m∠DBC=40°                               Given

2. m∠ABD + m∠DBC = m∠ABC               Angle Addition Postulate

3. 60° +  40° = m∠ABC                           Substitution Property of Equality

4. 100° = m∠ABC                                                  Simplifying

5. ∠ABC is an obtuse angle.                       greater than 90 degrees

6. △ABC is an obtuse triangle.                Definition of obtuse triangle

When an angel is greater than 90 degrees the angle is said to be an obtuse angle.

For the question solved here m∠ABC is greater than 90 degrees hence an obtuse angle.

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Step-by-step explanation:

To help, but not give the answer so you can learn to do this:

To find the slope, choose any two points on the graph (no really IT DOESN'T MATTER WHICH ONE). Use the equation y-y/x-x to get the slope.

Ex. 8-3/5-1=4/3

(NOTE: Always write your answer as either an improper fraction or a whole number!)

To find the distance, go across the x-axis, however many units away the closest point is to your chosen point. Then, go across the y-axis for the required # of units. Next, find the total number of the x and y units. You can also subtract the smallest coordinate from the greatest if the two ordered pairs are in the same quadrant. If not in the same quadrant, add the coordinates together. If the value of x or y happens to be the same as your chosen coordinate, find the sum of the two numbers that are equal, or subtract if in the same quadrant.

Also, in case you have another question relating to the same line, the given line is NOT proportional. Just in case, though!

I hope this helps you with your question!

(Happy Halloween! )

Step-by-step explanation:

the perimeter of a triangle is 84 cm and its area is 36 CM square if one its side is 30 cm find the length of remaining two side

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Equation \#1.}[/tex]

[tex]\mathsf{(2y)^3}\\\mathsf{= (2(3)^3}\\\mathsf{= (6)^3}\\\mathsf{= 6^3}\\\mathsf{= 6\times6\times6}\\\mathsf{= 36\times6}\\\mathsf{= 216}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{216}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Equation \#2.}[/tex]

[tex]\mathsf{x^2 + y}\\\mathsf{= 4^2 + 3}\\\mathsf{= 4\times 4 + 3}\\\mathsf{= 16 + 3}\\\mathsf{= 19}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{19}}}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Equation \#3.}[/tex]
[tex]\mathsf{(a + b)^3}\\\mathsf{= (3 + 5)^3}\\\mathsf{= (8)^3}\\\mathsf{= 8^3}\\\mathsf{= 8\times 8 \times 8}\\\mathsf{= 64\times8}\\\mathsf{= 512}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{512}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer: The lungs provide the airstream which powers human voice. As air is pushed up the windpipe from the lungs, the larynx, which is made up of two vocal folds, opens and closes to produce vibrations. These vibrations are carried through to the throat, nose, and mouth, which act as resonators- morphing the vibrations into distinct human sounds.

Step-by-step explanation:

Answer:

Our vocal cords gve us our voice.

Step-by-step explanation:

The vocal folds (cords) produce sound when they come together and then vibrate as air passes through them during exhalation of air from the lungs.  This vibration produces the sound wave for your voice.  

ANSWER

100.5 feet

EXPLANATION

The radius of the circular garden is 16 feet.

To find how much wood she would need to make a fence around the garden, we need to find the circumference of the garden.

Circumference can be found using the formula:

where r = radius

Therefore:

She would need 100.5 ft length of wood to enclose the garden.

we'll start by moving the recurring part to the left of the decimal point hmmm so the recurring part is 0.14 so if we just multiply that by 100, that'll give us 14.141414...., now let's make the recurring part a variable

[tex]x=0.\overline{14}\hspace{5em} \begin{array}{llll} 100x&=&14.\overline{14141414}\\\\ &&14+0.\overline{14141414}\\\\ &&14+x \end{array} \\\\[-0.35em] ~\dotfill\\\\ 100x=14+x\implies 99x=14\implies x=\cfrac{14}{99}[/tex]

Answer:

2070707/500000

Step-by-step explanation:

rational no. simply means a fraction.

Based on the weight of one third bag of popcorn, one bag of popcorn weighs 3/4 lb

The statement is given as

One third bag of popcorn weighed 1/4 lb

This means that

1/3 bag = 1/4 lb

Multiply both sides of the equation by 3

So, we have the following equation

3 * 1/3 bag = 1/4 lb * 3

Evaluate the products

So, we have

3/3 bag = 3/4 lb

Evaluate the quotient

So, we have

1 bag = 3/4 lb

Hence, the conclusion is that the weight of one bag is 3/4 lb

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The unit rate of what Sarah bought is 0.8 dollars per pepper.

The equation relating cost in dollars, c to the number of red peppers is c = 0.8p

A unit rate describes the ratio of two different units for the quantity of one.

In other words, the unit rate can be defined as the ratio between two measurements with the second term as 1.

Therefore, the unit rate when Sara buys 7 red peppers for $5.60 can be calculated as  follows

unit rate = cost of pepper / number of pepper

unit rate = 5.60 / 7

unit rate = 0.8 dollars per pepper

Let's use the unit rate to write an equation relating the cost in dollars c to the number of red peppers, p.

Therefore,

c = 0.8p

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Based on the time the clock is set to, and the minutes lost every hour, the time the clock would show the next day at 10 am is 8:57 am

To find the time that the clock would show the next day, first find the difference between the 1 pm and 10 am the next day:

This difference is:

= 10 am the next day - 1 pm

= 10 + (12 - 1)

= 10 + 11

= 21 hours

The number of minutes lost is:

= 21 x 3 minutes per hour

= 63 minutes

The time the clock would be showing is:
= 10 am  - 63 minutes

= 8:57 am

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The area of the walkway in square yards is 22.77 yards²

The cost of painting the walkway will be $85.37.

The square yards of the walkway can be determined by adding the areas of the two rectangles and the area of the quarter of a circle together.

Area of a rectangle = length x width

Area of the first rectangle = 9.5 x 1.5 = 14.25 yards²

Area of the second rectangle = 4.5 x 1.5 = 6.75 yards²

Area of a circle = πr²

Area of quarter of a circle = 1/4 ×  πr²

Where:

π = pi = 3.14

r = radius

1/4 x (3.14 x 1.5²) = 1.77 yards²

Area of the walkway = 1.77 yards² + 6.75 yards² +  14.25 yards² = 22.77 yards²

The cost of the painting can be determined by multiplying the area of the walkway by the cost per square yard.

Total cost = 22.77 yards² x 3.75 = $85.37

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Answer:

  y = x(120 -2x)

Step-by-step explanation:

You want the quadratic function representing the area of a rectangular enclosure such that three sides of it have a total length of 120 feet.

The dimension perpendicular to the house is given as x. There are two length of fence with that dimension, so the remaining fence is (120 -2x). This is the length that can be used parallel to the house.

The area (y) is the product of the dimensions of the enclosure:

  y = x(120 -2x)

__

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The skeletal muscle can fatigue with too much movement or exercise.

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The given information is:

- The average test score is 85 points

- The standard deviation is 9

- It is a normal distribution

We need to find the best estimate for the proportion of students earned a 70 points or higher.

First, we need to find the z-score for 70, by applying the following formula:

Then, as x=70, we replace the given values and find z:

Then, we can find the estimate as follows:

Now, in a standard normal table, we search the cumulative probability of z<-1.67, and it is 0.0475:

Thus, replace this value to find P(X>=70):

The probability is 0.9525, if we multiply it by 100%, we obtain: 95.25%

The best estimate is 95%.

For the give question;

The given line is; -2x + 3y = 6

Write the equation in slope intercept form; y = mx + c.

-2x + 3y = 6

3y = 2x + 6

y = (2/3)x + 2

Slope m₁ = 2/3 and y intercept is 2.

For the relation of slope;

Part a: -3x - 2y = 4

Write  the equation in slope intercept form;

-2y = 3x + 4

y = (-3/2)x - 2

m₂ = -3/2

m₁ ≠ m₂ as 2/3  ≠ -3/2

m₁×m₂ = 2/3 × -3/2 = -1

Thus, the both lines are perpendicular.

Part b: -2x + 3 y = -6

Write  the equation in slope intercept form;

3y = 2x - 6

y = (2/3)x - 2

m₂ = (2/3)

m₁ = m₂

Thus, both lines are parallel.

Part c: 2x + 3y = 6

Write  the equation in slope intercept form;

3y = -2x + 6

y = (-2/3)x + 2

m₂ = -2/3

m₁ ≠ m₂ as 2/3  ≠ -2/3

And,  m₁×m₂ = 2/3 × -2/3 ≠ 1

Thus, lines are neither parallel not perpendicular.

Part d: -2x + 3y = 0

Write  the equation in slope intercept form;

3y = 2x

y = 2/3 x

m₂ = 2/3

m₁ = m₂

Thus, both lines are parallel.

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Answer:

total is 13. so 5+6 = 11 and total is 13 so 13 - 11 = 2

Linear functions from tables

I'll draw the calculations directly on the tables as required. The table that has the same slope represents a linear function.

Table A has different values for the slope, this table is not a linear function.

Table C is not a linear function since the slope is not constant

Table B does not have a constant slope, so it's not a linear function

Table D has a constant slope of 1/3, thus this table represents a linear function