A food server records the total bill and the amount of the tip received by 5 individuals who dined alone. Here are the data: Total $4.50 $5.79 $6.25 $4.62 $6.35 Tip $0.75 $1.00 $0.75 $0.58 $1.00 (a) Is there a clear explanatory variable and response variable in this setting? If so, tell which is which. If not, explain why not. b) Make a scatterplot of these data on your work document. (c) Based on the scatterplot, describe the relationship between the total bill and tip received for these 5 customers. (d) The correlation r between the total bill and tip received is r = 0.67. Explain how this confirms the description from part (c). (e) How would r change if all the total bill amounts were reduced by 10%? tip received was measured in cents rather than dollars? (f) Suppose another customer whose total bill was $5.15 tipped $0.75. How would including this point influence r? Justify your answer without performing any calculations.
Answer:
(a) There is not a clear explanatory variable and response variable
(b) Please find attached the scatterplot created with Microsoft Excel
(c) There is some relationship between the total bill and tip received
(d) The correlation value of r = 0.67, reaffirm that there is an amount of positive correlation between the total bill and the tip received
(e) The correlation will remain positive, and will increase
(ii) The correlation will remain constant
(f) The correlation and r will increase marginally
Step-by-step explanation:
(a) The given parameters are;
Total [tex]{}[/tex] Tip
$4.50 [tex]{}[/tex] $0.75
$5.79 [tex]{}[/tex] $1.00
$6.25 [tex]{}[/tex] $0.75
$4.62 [tex]{}[/tex] $0.58
$6.35 [tex]{}[/tex] $1.00
From the given data, the relationship between the variables are not clear as the lowest and the second highest total give the same amount as tip, the second lowest receive the lowest tip and the median value of the total and the highest value give the same value of tip
Therefore, there is not a clear explanatory variable and response variable
(b) Please find attached the scatterplot
(c) Based on the scatterplot, as the total bill increases, the response the tip increases, therefore, there is some relationship between the total bill and tip received
(d) The correlation value of r = 0.67, reaffirm that there is an amount of positive correlation between the total bill and the tip received
(e) (i)Whereby the total bill were reduced by 10% each, we have, that the correlation will remain positive, and will increase
(ii) Whereby the tip received were measured in cents rather than dollars, the correlation will remain constant
(f) When the total bill of another customer whose bill is $5.15 and tipped $0.75 is added, we have three customers out of six that give an equal tip, therefore, the correlation and r will increase marginally
Creating a linear regression model of the given data, the necessary deductions required to solve the problems posed. Hence, the solutions are as follows :
A.)
The explanatory variable is not very obvious as we have similar measured or predicted value for two different data points in the data.
B.)
The scatterplot of the relationship is attached with Total being the independent and tips being the dependent variable.
C.)
The scatter plot shows a positive association or relationship between total and tips.
D.)
The Correlation Coefficient gives the strength and direction of the relationship between two variables. Hence, 0.67 is positive and shows a fairly strong association.
E.)
A reduction in total bill by 10% would still depict an increase in the tips as based on the total bill amount.
If tips was measured in cent and not dollars, then, the the value of r will remain the same, as the unit of a variable has no effect on the correlation Coefficient.
F.)
The addition of a point with total bill of 5.15 and tip amount of 0.75 will strengthen the existing relationship. Hence, the value of R will increase slightly.
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Find the equation of the line that passes through the points (-1,3) and (3,11).
A. y = -5x - 2
B. y = -2x - 5
C. y = 2x + 5
D. y = 5x + 2
How to do this question plz answer me
Answer:
6
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
let x be the fourth number, then
[tex]\frac{9+14+15+x}{4}[/tex] = 11 ( multiply both sides by 4 )
38 + x = 44 ( subtract 38 from both sides )
x = 6
The number on the fourth card is 6
DIRECTIONS: Type your answer in the box below.
Percy planted 4 tomato plants the first week of spring. He planted 11 tomato plants the second week of spring. What is the percent increase in the number of plants Percy planted? Round your answer to the nearest whole percent.
Answer:
175%
Step-by-step explanation:
The formula for Percent increase =
Final value - Initial value/Initial value × 100
Final value = 11 tomato plant
Initial value = 4 tomato plant
Percent Increase = 11 - 4/4 = 100
= 7/4 × 100
= 175%
Answer:
ur super not talanted
Step-by-step explanation:
PLZZZZ HELPPPPPPP!!!!
A person and a building cast a shadow at the same time of day. The person is 5.8 feet tall and cast a shadow of 3.2 feet.
The building casts a shadow of 28 feet.
Answer: The height of the building is 50.75 feet.
Step-by-step explanation:
The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.
For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.
The ratio will be: 5.8ft/3.2ft = 1.8125
Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:
H/28ft = 1.8125
Now we can solve this for H.
H = 1.8125*28ft = 50.75 ft
Then the height of the building is 50.75 feet.
how ? rn i’m doing a warm up
Answer:
For question y=x+3
Your answer is y=(2x+1)+3
Step-by-step explanation:
1. The sum of a number and 5 is 20
2. Ten more than a number
3. A number increased by eleven is twenty one
4. Three times a number increased by 4
5. The sum of a five times a number and six
6. Seven more than three times a number
7. The difference between ten times a number and 3
8. Subtract eight from six times and number
9. Eight less than a number is five
10. Five times a number decreased by six
11. A number decreased by seven
12. The product of a number and seven
13. The sum of twice a number and four
14. The quotient of a number and three
15. A number divided by eleven The sum of twice a number and four
PLEASEEE GIVE ME THE ANSWERS
Answer:
Step-by-step explanation:
Let x be the unknown numbers so [tex]x+5=20[/tex] [tex]10x[/tex] [tex]x+11=21[/tex] [tex]3x+4[/tex] [tex]5x+6[/tex] [tex]3x+7[/tex][tex]10x-3[/tex] [tex]6x-8[/tex] [tex]x-8=5[/tex] [tex]10x-6[/tex] [tex]x-7[/tex] [tex]7x[/tex] [tex]2x+4[/tex] [tex]\frac{x}{4}[/tex] [tex]\frac{x}{11},2x+4[/tex]Answer:
1. x+5=20
Step-by-step explanation:
Find the sum of the following nine products: 1 × (10 – 1), 2 × (10 – 2), 3 × (10 – 3), … , 9 × (10 – 9)
Answer:
9, 16, 21, 9
Step-by-step explanation:
I hope this help and it was going in order
Answer:
165
Step-by-step explanation:
We solve the first 5
1*(10-1)=9
2*(10-2)=16
3*(10-3)=21
4*(10-4)=24
5*(10-5)= 25
and notice
when you go from 6 on its getting the same number because say 3*(10-3) = 3*7 and 7*(10-7) = 7*3 and 7*3 = 3*7 so
You add the first 5 integer you solved up
9 16 21 24 25 = 95
and then you double it no extra 25
and then you get 165 = answer
can somebody pls help me with this?
Answer:
X:Y
12:4
Just start with y=1 and work upwards giving x a value of y+8 until x is three times larger than y.
Please Please PLEASE help me
How do I solve this using the quadratic formula? −6x^2−2−3x=−8
Could you also show your work?
Thanks
Answer:
[tex]x=\frac{-1}{4} +/-\frac{1}{4}\sqrt{17}[/tex]
Step-by-step explanation:
First, we need to get the equation into the polynomial form. Add 8 to both sides:
[tex]-6x^{2} -2-3x=-8[/tex]
[tex]-6x^{2} +6-3x=0[/tex]
Rearrange the equation so that it is in standard form:
[tex]-6x^{2} -3x+6=0[/tex]
Remember the quadratic formula:
[tex]\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}[/tex]
[tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are the coefficients of the problem when it is in standard form. In this case, [tex]a=-6[/tex], [tex]b=-3[/tex], and [tex]c=6[/tex]. Now, all we need to do is plug those into the quadratic formula.
[tex]\frac{-(-3)+/-\sqrt{(-3)^{2}-4(-6)(6)} }{2(-6)}[/tex]
Simplify:
[tex]\frac{3+/-\sqrt{153}}{-12}[/tex]
[tex]x=\frac{-1}{4} +/-\frac{1}{4}\sqrt{17}[/tex]
Hope this helps!
If an exterior Angele of a regular polygon is an integer, what are the possible values of the angle?
Answer:
Please read the explanied answer below.
Step-by-step explanation:
As we know that polygon is a shape that consists of at least three sides.The sum of exterior angles of any polygon = [tex]360^{\circ }[/tex]We also know that a regular polygon has all the angles equal and all sides have the same length.
As we know:
Exterior angle = 360° ÷ No. of sidesWhen the number of sides changes, the angle also changes. Therefore, we would get different integers as answer.
For example:
In terms of a triangle:
Exterior angle = 360° ÷ No. of sides
= 360° ÷ 3 = 120°
In terms of a rectangle:
Exterior angle = 360° ÷ No. of sides
= 360° ÷ 4 = 90°
and in the same way
360° ÷ 5 = 72 °
360° ÷ 6 = 60 °
360° ÷ 8 = 45 °
360° ÷ 9 = 40°
and so on.
I hope it may have solved your query.
Which graph shows a polynomial function with an even degree?
Answer:
c
Step-by-step explanation:
im smart
The graph that shows a polynomial function with an even degree is option D.
What is a Function?A function is a law that relates two variables, a dependent and an independent variable with each other.
The domain and range of a function is always defined, the domain is all the values that can be an input to the function and the range is all the valuess that a function can have.
A function that involves positive integer powers as exponents of a variable in an equation is called a polynomial function, like the quadratic equation,
An even degree polynomial function, represented by y = x², have graphs that either open upwards or downwards.
A function is even if, for each x in the domain of f, f (- x) = f (x).
In an even function, the graph is symetrically along y axis.
The only graph that is symmetrical along the y axis is graph D.
To know more about Function
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The school band is selling sweatshirts and baseball caps to raise $9000 to attend a band competition Sweatshirts cost $25 each and baseball caps cost $10 each. The equation 25x + 10y = 9000 models this situation, where x is the number of sweatshirts sold and y is the number of baseball caps sold. The number of shirts sold is 258 X - intercept = y - intercept = How many caps were sold?
x int:
y int:
how many caps were sold? :
Answer:
255 caps were sold
Step-by-step explanation:
25x+10y = 9000
25(258) + 10y = 9000
6450 + 10y = 9000
-6450 + 10y = -6450
10y = 2550
2550/10y
y = 255
A room has an area of 432 ft2. One dimension is 6 ft more than the other. Find the dimensions of the room.
Answer:
W=18ft
L=24ft
Step-by-step explanation:
Step one:
given data
area= 425ft^2
let the width W be =x
and the length L be =x+6
Required
Length and width
solution
Area= lenth*width
432=x*(x+6)
432=x^2+6x
x^2+6x-432=0
The roots of the quadratic equation is
x=-24-----can not be negative
x=18----correct
The dimension is
the width W =x=18ft
The length= x+6=18+6=24ft
check area= 18*24=432ft^2
4-inch-by-6-inch frame. What is the area, in
square inches, of the part of the photograph that was
-
into a
DO YO
cut off?
A 2
B. 10
C. 11
D. 12
E. 24
A farmer Harvester 21 1/4 so if you were a bushel of sweet corn this year than previous year it's a farmer sweet corn crops planted across 3 acres was the average loss Per acre
Answer:
7 1/12 bushels of sweet corn per acre of land
Step-by-step explanation:
Total bushels of sweet corn harvested this year fewer than the previous year = 21 1/4
Total acres of land used to plant = 3 acres
what is the average loss per acre?
Average loss = Total bushels of sweet corn harvested for the year / 3 acres
= 21 1/4 ÷ 3
= 85/4 ÷ 3
= 85/4 × 1/3
= 85 / 12
= 7 1/12
Average loss = 7 1/2 bushels of sweet corn per acre of land
I need help!!!! Pls, help me!!!
URGENT!
Answer:
what is it you need help with?
Step-by-step explanation:
What do you need help with? There is no picture attached or question
Professor Malone is grading papers in the teachers' lounge. She has already finished grading 20 assignments, and is grading 5 more assignments per hour. Her teaching assistant just came in to help her. He can grade at a rate of 7 assignments every hour. At some point, they will be finished and will have graded the same number of papers. How many assignments will they each have graded?
Write a system of equations, graph them, and type the solution.
Answer:
55
Step-by-step explanation:
bedcause if you add 50 and 5 then it makes yes
The number of papers checked by both becomes equal in 10 hours.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Teacher Malone is reviewing papers in the educators' parlor. She has previously gotten done with reviewing 20 tasks and is evaluating 5 additional tasks each hour. Her showing colleague just came in to help her. He can grade at a pace of 7 tasks consistently.
Let 'x' be the number of hours and 'y' be the number of assignments. Then the equations are given as,
y = 5x + 20 ...1
y = 7x ...2
At some point, they will be finished and will have graded the same number of papers. Then from equations 1 and 2, we have
7x = 5x + 20
7x - 5x = 20
2x = 20
x = 20 / 2
x = 10
The number of papers checked by both becomes equal in 10 hours.
More about the solution of the equation link is given below.
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If the Jackson family drive 135 miles on 6 gallons of gas, how many miles can they can they drive on 9 gallons?
Answer:
202.5 miles
Step-by-step explanation:
We find the unit rate of the mile per gallon
135/6
= 22.5
We multiply 22.5 by 9 to get the miles they can drive on 9 gallons
22.5 * 9
= 202.5
Answer:
202.5 miles
Step-by-step explanation:
135 miles divided by 6 = 22.5 x 9 = 202.5 miles
6 gallons divided by 6 = 1 gallon x 9 = 9 gallons
What is the slope for 5x+2y=6
Answer:
The slope is -5/2 as a fraction
or -2.5 as a decimal.
Step-by-step explanation:
First we have to get it into this format y = mx + b
5x + 2y = 6 (subtract 5x on both sides)
2y = -5x + 6 (divide by 2 on both sides)
y = -5/2x + 3
The slope is -5/2 or -2.5
Hope this helps ya!!
Julie purchased tickets to a Mets baseball game from the Mets website. Each ticket costs $19
and the website charged a convenience fee of $5.75 per ticket. To celebrate going to the
game, Julie also bought a new jersey from the website for $60.
Answer:
$84.75
Step-by-step explanation:
3) What is 2/15 + 3/10 ? (hint: find the LCD first)
Answer:
13/30
Step-by-step explanation:
2/15 x 2 = 4/30
3/10 x 3 = 9/30
4/30 + 9/30 = 13/30
Answer:
13/30
Step-by-step explanation:
2/15 = 2/15 × 2/2 = 4/30
3/10 = 3/10 × 3/3 = 9/30
4/30+9/30=13/30
Write an equation of the line that passes through (-1,4) and is perpendicular to the line shown.
Answer:
Step-by-step explanation:
6xy+31
Mrs. Torres is mailing a package that weighs 12.5 pounds. The post office charges by the ounce to mail a package. How much does the package weigh in ounces?
9514 1404 393
Answer:
200 ounces
Step-by-step explanation:
Each pound is 16 ounces, so the number of ounces is ...
(12.5 lb)(16 oz/lb) = 200 oz
The package weighs 200 ounces.
The blue dot is at what value on the number line? Pls help!!
Answer:
I'm guessing -3 .....not sure though sorry ...
Answer:
[tex]-3[/tex]
Step-by-step explanation:
From the two values given, it can be found that each jump down decreases by [tex]3[/tex]. Starting from [tex]3[/tex], we need to jump down two steps to reach the blue dot. This gives us [tex]3-3(2) = -3[/tex].
Hope this helps :)
HELP WILL MAKE BRAINLIST
help me
I need someone..
plss
Answer:
b
Step-by-step explanation:
Answer:
a. very likely
b. 0 to 1
c. less than 0
Step-by-step explanation:
please mark as brainliest
Please help me. What are 2 numbers that multiply to be -36 and add up to be 5?
Answer:
-4 and 9
Step-by-step explanation:
-4 + 9 = 5
-4 x 9 = -36
A
6) Find Total Surface Area of the shape.
9 km
3 km
7
5 km
4 km
Answer:
120km^2
Step-by-step explanation:
9x3=27
9X5=45
9x4=36
3x4/2=6
3x4/2=6
27+45+36+6+6=120
What is the slope to this graph?
Answer:
Add more point
Step-by-step explanation: