The drink that I selected is coffee.
An equation for the line of best fit is y = -22.7x + 130.3.
The slope is -22.7 and it means that there is a decrease of 22.7 in sales when the price is increased by 1 unit.
A scatterplot for the beverage is shown in the image attached below.
The line of best fit is a good model for the data because there are equal number of points above and below the trend line.
The table is shown below.
How to determine an equation of the line of best fit for the data set?In order to determine an equation for the line of best fit (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).
In this scenario, the sales would be plotted on the y-axis of the scatter plot while the price would be plotted on the x-axis of the scatter plot.
Based on the scatter plot (see attachment) which models the relationship between the number of sales and price, an equation for the line of best fit is given by:
y = -22.7x + 130.3
Furthermore, the table should be completed as follows;
Price Actual sales Predicted sales__
1.5 96 96
1.6 94 94
1.8 91 89
2.0 85 85
2.1 83 83
2.2 79 80
2.5 73 74
2.7 70 69
2.9 64 64
3.0 63 62
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Complete Question:
You are helping your boss, the owner of a coffee shop, set prices. She has gathered some data by counting the number of cups sold per day at various prices. Your job is to see if there is a relationship between price and sales for one of the two most popular drinks.
Coffee sales:
Price: 1.50 2.20 2.70 2.50 2.90 2.00 1.60 2.10 3.00 1.80
Sales: 96 79 70 73 64 85 94 83 63 91
Tea sales:
Price: 2.40 1.50 1.10 1.60 2.50 1.30 1.00 1.70 2.20 2.00
Sales: 64 85 94 83 63 91 96 79 70 73
1. Which drink did you select? Circle one.
Coffee Tea
Find a line of best fit.
2. Enter the data into your calculator and perform a linear regression. Round a and b to the nearest tenth. (2 points: 1 point for slope and 1 point for y-value of y-intercept)
What is your linear regression equation?
3. What is the meaning of the slope? (2 points)
4. Create a scatterplot for your beverage using the data from the table. Then graph the linear regression equation you found in question 2. (4 points)
5. Does the line of best fit seem like a good model for the data? Why or why not? (2 points)
6. Complete the table. (10 points: 1 point for each row)
Identify the actual number of sales at each price.
Use your line of best fit to calculate the predicted sales at each price.
solve the equation
3x / 3x-1 + 2 / x = 1
Answer:
3
−
+
2
=
Step-by-step explanation:
The solution of the expression will be;
⇒ x = 2/7
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 3x / (3x-1) + 2 / x = 1
Now,
Solve the equation as;
The expression is,
⇒ 3x / (3x-1) + 2 / x = 1
⇒ 3x × x + 2 (3x - 1) / x (3x - 1) = 1
⇒ 3x² + 6x - 2 = x (3x - 1)
⇒ 3x² + 6x - 2 = 3x² - x
⇒ 6x - 2 = - x
⇒ 6x + x = 2
⇒ 7x = 2
⇒ x = 2/7
Thus, The solution of the expression will be;
⇒ x = 2/7
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You have a cup with 17 coins inside. The total inside the cup is $5. 50. Determine how many half dollars and quarters are inside the cup
Answer:
half dollars = 5
quarters = 12
Step-by-step explanation:
Set up your equations:
let f represent how many half dollars there are
let q represent how many quarters there are
f + q = 17
0.5f + 0.25q = 5.50
Isolate one variable from the first equation (or the second, if you want to do it that way):
f = 17 - q
Now sub that into the second equation:
0.5(17 - q) + 0.25q = 5.50
8.5 - 0.5q + 0.25q = 5.50
-0.25q = -3
q = 12
Sub that value back into the original equation:
f = 17 - q
f = 17 - (12)
f = 5
 darnell caught 7 fish in 3 hours at that rate how many fish will he catch in 6 hours
The original price of a silver necklace is $92. How much will Debbie pay if she buys it during the sale?
Answer:
Debbie will pay amount according to the diiscount given on the sale.
5. Anna has 40 CDs in her music collection, 75% of her CDs are rock music. How many rock CDs does she have?
Answer:
30
Step-by-step explanation:
write two different inequalities in which one of the solutions is the same as the solution to x - 23 = 192
Answer:
I don't no the answer sorry
John's salary is $25.38 per hour. He gets a raise of $0.85, what is the percent increase?
The percentage of the increment in Hohn's salary will be 3.35%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
John's compensation is $25.38 for each hour. He receives a pay increase of $0.85
The percentage of the increment is calculated as,
P = (0.85 / 25.38) / 100
P = 0.0335 x 100
P = 3.35%
The percentage of the increment in Hohn's salary will be 3.35%.
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In an algebraic expression, the quantities being multiplied are called factors.
We can be performed Multiplication on algebraic expressions in the same way as it can be performed on two whole numbers or fractions.
Multiplication of algebraic expressions or variable expressions involves multiplying two expressions combined with various arithmetic operations like addition, subtraction, multiplication, and division and contains constants, variables, terms, and coefficients.
Multiplying the algebraic equation involves the following steps.
1. Multiply the coefficients of the terms, add the powers of the variables with the same base, and obtain the algebraic sum of the like and unlike terms before learning about the multiplication of algebraic expression.
The multiplication of two terms with the same signs is positive, and two terms with different signs are negative.
Example:
−a×−b=ab
a×−b=−ab
We can add the exponents of the same bases in case of multiplication as a^m×a^n=a^m+n
Example:
a^2×a^3=a^2+3=a^5
b^5×b^8=b^5+8=b^13
Algebraic Expression: An algebraic expression is the collection of the constants and the variables connected by fundamental operators like addition (+), subtraction (−), etc.
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Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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I DON'T KNOW HOW TO PROVE THIS IDENTITY, CAN U GUYS HELP ME ?
Try this way, all the details are in the attachment.
someone please help with my geometry
Geometry encompasses various topics such as angles, lines, triangles, circles, polygons, and more.
Whether you need help with a specific theorem, a geometric proof, or solving a particular problem, feel free to describe the problem or provide any relevant information.
You can also ask general questions about geometry concepts or seek clarification on any topic you find challenging. Remember to provide all the necessary details, such as given information, diagrams, or specific requirements of the problem, to help me understand and assist you better.
Geometry often involves visual representation, so if you can provide any diagrams or illustrations related to your question, it would be helpful. However, if you can only describe the problem or concept in words, that's perfectly fine too.
Rest assured that I'll do my best to provide clear explanations, step-by-step solutions, and any additional information or insights to help you understand and solve your geometry problem.
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Translations have a certain notation:
If we want to move a point 5 units to the left and then up 9 units we show it like this:
(x-5 , y+9)
Why is the 5 a negative and the 9 positive?
Answer:
Because when your finding a point on the x line going left goes towards the negative side, like a number line. So for the y line think of it like the number line but going up is positive and going down is negative.
so if we wanted to go right 6 units and down 3 units it would written as:
(x+6,y-3) Because going right on the x line is like adding 6 units and going down on the y line is like subtracting 3 units for this example
Step-by-step explanation:
geometry question, surface area of a triangular prism,
Answer:
282 [in²].
Step-by-step explanation:
all the details are in the attachment.
10. Jack earned $112 in 8 hours.
How much did he earn per hour?
Answer:
Jack earned $14 per hour.
Step-by-step explanation:
$112 in 8 hours
So 8x = 112
To find x, 1 hour, we divide 112 by 8
8x = 112
x = 112/8
x = 14
-Chetan K
Answer:
jack will earn 14$ per month
Step-by-step explanation:
Direct and Indirect Proportions
1.
The ratio of Mumuni's age to his father's age is 3:5. The
sum of their ages is 96years. What is Mumuni's age?
2.
Peter and John shared GH¢1000.00 in the ratio 2 : 5
Calculate the amount each received.
3.
Mr. Opuni shared GH¢15,000.00 among his three childre
Gloria, Ophelia and Tina in the ratio 3:5:7. Calculate t
amount each received.
4.
The angles of a triangle are in the ratio 6:5: 7. Calc
the size of each angle.
Answer:
?
Step-by-step explanation:
Find Tan A 6-11, please?
Answer:
5) tan A = 0.42
6) Acute angle is less than 90°
7) Right angle is exactly 90°
8) Obtuse angle is greater than 90° but less than 180°
9) Straight angle is exactly 180°
10) Complementary angles add up to 90°
11) Supplementary angles add up to 180°
Step-by-step explanation:
tan A = opposite / adjacent
= 5/12
= 0.42
Add or subtract as indicated.
- 7/5 + 5/6
Answer:
-17/39 or -0.56
Step-by-step explanation:
same answer just in a different way
Answer:
\(\frac{-17}{30}\)
Step-by-step explanation:
Fine a common denominator. Both 5 and 6 will evenly go into 30 so make equivalent fractions with 30 as the denominator:
\(\frac{-7}{5}\) = \(\frac{-42}{30}\) 5 x 6 is 30 so we multiply -7 x 6 to get -42
\(\frac{5}{6}\) = \(\frac{25}{30}\) 6 x 5 is 30 so we multiply 5 x 5 to get 25
\(\frac{-42}{30}\) + \(\frac{25}{30}\) = \(\frac{-17}{30}\) The denominator stays the same 30. We add the numerators. -42 + 25 You add the absolute vales and take the sign of the larger absolute value. Absolute value is a positive number that shows the distance that number is from zero.
What is the y-intercept for this line?
Y = 2/3 x + 3
A. 2
B. 2/3
C. 3
Answer:
y intercept when x is 0, so the answer is 3
I need Help!!!!!!!!!
Answer: The photo below will show you how to do the problem. (i used 2 as an example)
Step-by-step explanation:
: Find the x- and y- intercepts. ...
Step 2: Find at least one more point. ...
Step 3: Plot the intercepts and point(s) found in steps 1 and 2. ...
Step 4: Draw the graph. ...
Step 1: Find the x- and y- intercepts.
Step 2: Find at least one more point. ...
Step 3: Plot the intercepts and point(s) found in steps 1 and 2.
some one pleas help y=2x+3 y=-2x+15
Answer:
x = 3. y= 9
Step-by-step explanation:
2x +3 = -2x +15
4x = 12
x = 3
y 2(3) + 3 = 9
!
A washer and dryer cost a total of 928$. The cost of the washer is three times the cost of the dryer. Find the cost of each item.
Answer:
Cost of Washer = $696
Cost of Dryer = $232
Step-by-step explanation:
Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.
Put the equation together, so we can add the x variables together.
3x + x = 4x
The total cost will be what the '4x' is equal to.
4x = 928
Going back to algebra, we solve the equation by dividing both sides by 4.
x = 232
Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.
3x
3(232) = 696.
To check the answer, we can add them together to make sure we get the total cost.
696 + 232 = 928
Infinitely Many Solutions
2x+9+3x+x
2x+9+3x+x=6x+9
⇒ INFINITE SOLUTUIONS
1.3 X 2.1 = Explain your answer.
2.73
1.3x2.1=2.73
1.3
x2.1
13
+26
2.73
Answer:
To multiply 1.3 by 2.1, we need to use the distributive property of multiplication, which states that:
a × (b + c) = a × b + a × c
Using this property, we can break down 2.1 as the sum of 2 and 0.1:
1.3 × 2.1 = 1.3 × (2 + 0.1)
= 1.3 × 2 + 1.3 × 0.1
= 2.6 + 0.13
= 2.73
Therefore, 1.3 multiplied by 2.1 equals 2.73.
Find an equation for the line below. plzzz help ASAP!!
Answer:
y=1/3x-5 1/3
Step-by-step explanation: Two points are marked, 6 units apart horizontally and 2 units vertically, making the slope 2/6 or 1/3. The line meets y=0 at a point below -5, which we can assume is -5 and 1/3 because of the slope.
need asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
what is a valedictorian?
Answer:
The valedictorian is the person who has the highest academic achievements in their graduating class not to mention they get to deliver the valedictory speech.
Step-by-step explanation:
Step-by-step explanation:
according to Oxford learner's dictionary:
the student who has the highest grades in a particular group of students and who gives the valedictory speech at a graduation ceremony compare salutatorian.
it means to have quality speech
What is the answer of this triangle congruence question.
The value of x in the triangles are 9.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The triangles are congruent.
That means, their corresponding angles are also congruent.
In ΔJKL,
the sum of all the angles of the triangle is 180°.
So,
x²-2x + x + 29 + 3x + 52 = 180
x² + 2x - 99 = 0
Solving the quadratic equation,
x² +11x - 9x - 99 = 0.
x (x + 11) -9 (x + 11) = 0
x = 9 and x = -11
Here, we take x = 9.
Therefore, the value of x is 9.
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A cube has a depth of 9 mm what is the surface area of the cube
Answer:
486 mm²
Step-by-step explanation:
Formula: 6a²
a² = 9²
= 81
6(81) = 6 × 81
486
Name the types of congruence in triangles.
h
l
o
◇3◇
Answer:
Step-by-step explanation:
Name the types of congruence in triangles.
Side Side Side (SSS)
The three sides of one triangle are respectively equal to the three sides of the other triangle.
Side Angle Side (SAS)
Two sides and the included angle of one triangle are respectively equal to two sides and the included angle of the other triangle.
Angle Angle Side (AAS)
Two angles and one side of one triangle are respectively equal to two angles and the matching side of the other triangle.
Right angle Hypotenuse Side (RHS)
The hypotenuse and one side of one right‐angled triangle are respectively equal to the hypotenuse and one side of the other right‐angled triangle.
Answer:
Heyy
Step-by-step explanation:
Different rules of congruency are as follows.
SSS (Side-Side-Side)SAS (Side-Angle-Side)ASA (Angle-Side-Angle)AAS (Angle-Angle-Side)RHS (Right angle-Hypotenuse-Side)I need help bad! Will give 5 stars asap i need help
Answer:
5 or 6 I hope i helped YOU!!!!!
Step-by-step explanation: