Company X tried selling widgets at various prices to see how much profit they would
make. The following table shows the widget selling price, x, and the total profit
earned at that price, y. Write a quadratic regression equation for this set of data,
rounding all coefficients to the nearest tenth. Using this equation, find the profit, to
the nearest dollar, for a selling price of 14.25 dollars.
Answers
Regression equations are used to represent the relationship between the x and y variables.
The quadratic regression equation is [tex]\mathbf{y =-6.407 X^2 +216.721 X -975.561}[/tex]The profit for a selling price of $14.25 is $812To determine the quadratic regression equation, we make use of a graphic calculator
Using a graphing calculator, we have the quadratic regression equation to be [tex]\mathbf{y =-6.407 X^2 +216.721 X -975.561}[/tex]
When the selling price is $14.25, it means that:
[tex]\mathbf{x = 14.25}[/tex]
So, we have:
[tex]\mathbf{y =-6.407 \times 14.25^2 +216.721 \times 14.25 -975.561}[/tex]
Evaluate the exponents
[tex]\mathbf{y =-6.407 \times 203.0625+216.721 \times 14.25 -975.561}[/tex]
Evaluate the products
[tex]\mathbf{y =-1301.0214375+3088.27425 -975.561}[/tex]
Evaluate like terms
[tex]\mathbf{y =811.6918125}[/tex]
Approximate to the nearest dollar
[tex]\mathbf{y =812}[/tex]
Hence, the profit for a selling price of $14.25 is $812
Read more about regression equations at:
https://brainly.com/question/7656407
Related Questions
Which point on the number line represents a loss of 5 yards in a football game? (number line is on picture)
A) Point A
B) Point B
C) Point C
D) Point D
please help me with this! it’s in need
Answers
A pyramid has a square base of length of 12m. Given the slant height of the pyramid is 15 m, draw its net and hence, find its total surface area.
Answers
Answer:
the surface area is 180 if u use multiplication
Step-by-step explanation:
the surface is 0.8 if you use devide
the surface is 3 if u use subtract
and the surface is 27 if you use addition
correct me if I'm wrong :)
The ratio of roses to carnations to daisies in
a flower bouquet is 2:5:6. The bouquet has
39 flowers. How many carnations are in the
bouquet?
Answers
Answer:
10
Step-by-step explanation:
10 10 10 1010 10 101 10 10 1o
14. Write an equation for the line in slope-intercept form.
Answers
Answer:
y equals -2x plus 8
Step-by-step explanation:
2x+10=4.what are the steps to follow as to get the actual value of X
Answers
So we want to get X alone
So we - 10 on both sides
2x = 4-10
2x = -6
Now we divide by 2 so we get the value of X
X = -3
Find a
rational number between 3 and pi
Answers
Answer:
3.1
Step-by-step explanation:
4. Jenny sells two types of lanyards, solid color or
striped. She charges more for striped lanyards than
for solid color lanyards. The amount of money, in
dollars, that she collects from selling x lanyards of
one type and y lanyards of the other type can be
modeled by the expression 3x + 5y.
What does the variable y represent in this
situation?
A. The number of solid color lanyards sold.
B. The number of striped lanyards sold.
C. The selling price of one solid color lanyard.
OD. The selling price of one striped lanyard.
Answers
Answer:
The selling price of one striped lanyard
The square of the sum of two numbers is 144 and the sum of their squares is 80. Find the numbers.(Use completing the square method)
Please help me
Answers
Answer:
Step-by-step explanation:
(x + y)^2 = 144
x^2 + y^2 = 80
----
x + y = 12 ---> y = 12 - x
x^2 + y^2 = 80
x^2 + (12-x)^2 = 80
2x^2 - 24x + 64 = 0
x^2 - 12x + 32 = 0
x = 4, x = 8
y = 8, y = 4
============================
x + y = -12 ---> y = -12 - x
x^2 + y^2 = 80
x^2 + (-12-x)^2 = 80
2x^2 + 24x + 64 = 0
x^2 + 12x + 32 = 0
x = -4, x = -8
y = -8, y = -4
-------------
One number is + or -4, the other is + or -8,
and the absolute value of the sum is 12.
Answer:
(4,8);(8,4);(-4,-8);(-8,-4)
Step-by-step explanation:
Ok, let's start writing down the two conditions:
[tex]\left \{ {(x+y)^2 = 144} \atop {x^2+y^2=80}} \right.[/tex]
Mumble. The second almost look like a square, if only there was the [tex]2xy[/tex] term. Let's add (and subtract, so we aren't creating something new) term to the second:
[tex](x+y)^2-2xy = 80[/tex] But we know what the first term is, it's 144. Let's replace and do some number tricks to get:[tex]144-2xy=80 \rightarrow 72-xy=40\\72-40=xy \rightarrow xy=32[/tex]
At this point, let' stare at it for a while. You can tell that the system is simmetrical (if you replace x with y you still get a solution). Moreover, x and y have the same sign: it means that if (a,b) is a solution, then also (b,a), (-a,-b) and (-b, -a) are solutions, and since it's a 4th degree system (the degree of a system is the product of the degrees of the single equations, and they're both quadratic) there are no other solution.
Let's find one pair then. We're tasked to find two numbers that sum to [tex]\sqrt{144} = 12[/tex] and whose product is 32. that is, the root of the polynomial
[tex]z^2+12z+32= (z+4)(z+8)[/tex] (or if you can't see the factors right away, bruteforce it with quadratic formula, it's always good practice). That tells us that one of the two is -4, and the other is -8. From what we said above, the solutions are by combining them with plus or minus.
[tex](4,8);(8,4);(-4,-8);(-8,-4)[/tex]
2. The number of gallons y a pool drains in x minutes is represented by the function y = 20x. The table shows the time it takes to fill up a pool. Determine whether the function is proportional or non-proportional. Explain.
Answers
Answer:
Yes, it is proportional because the number of gallons filled is always 15 times the number of minutes.
How do the expressions 2q2−3p and 2(p+q)/q compare when p = 8 and q = 4?Drag a symbol into the box to correctly complete the statement.2q2−3p Response area 2(p+q)/q when p = 8 and q = 4.=<>
Answers
Answer:
The answer is ">"
Step-by-step explanation:
I took the quiz epicly
Answer:
>
Step-by-step explanation:
Write the equation of the line passes through the point (10, 2) and is perpendicular to the line: y=-5x+7
Please show work
Answers
Answer:
Perpendicular line: y = ⅕x + 0 or y = ⅕x
Step-by-step explanation:
Given the point, (10, 2), and the linear equation, y = -5x + 7:
In order to find the equation of the perpendicular line that passes through (10, 2), we must first determine the definition of perpendicular lines.
Definition:Perpendicular lines have negative reciprocal slopes ⇒ this means that when you take and multiply the slopes of both lines, it results in a product of -1.
In other words, since the slope of the given line, y = -5x + 7 is m₁ = -5, then it means that the slope of the other line must be m₂ = ⅕ because:m₁ × m₂ = -1
-5 × ⅕ = -1
Solution:Now that we have the slope of the other line, m₂ = ⅕, and the given point, (10, 2), substitute these values into the slope-intercept form to solve for the y-intercept, b :
y = mx + b
2 = ⅕(10) + b
2 = 2 + b
Subtract 2 from both sides:
2 -2 = 2 -2 + b
0 = b
Hence, the y-intercept is b = 0.
Equation:The linear equation of the perpendicular line that passes through point (10, 2) is: y = ⅕x + 0 or y = ⅕x
Without graphing, find the slope of the line that goes through (2,-1) and (6,1)
Answers
Answer:
-7
Step-by-step explanation:
Y2 - Y1 / X2 - X1
-1-6/2-1
-7/1
= -7
Peter made 19 1/8 cups of chili for the
football game. If 14 3/4 cups of the chili were
eaten, how many cups of chili did Peter have left over
have left over?
Answers
Answer:
4.38, aka 219/50
Step-by-step explanation:
which expression is equivalent to 1/2b-15
Answers
Answer:
b/2-15
or
-15+1/2b
or
b:2-15
Step-by-step explanation:
which expression is equivalent to 1/2b-15
b/2-15
or
-15+1/2b
or
b:2-15
Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating. 20% tip on a bill of $123.42 The amount of the tip is approximately $
Answers
Answer:
$24
Step-by-step explanation:
First, we round to the nearest tenth.
$120
Now, we calculate the tip amount.
[tex].20 * 120 = 24[/tex]
One person can mow a lawn in 30 minutes. A second person requires 45 minutes to mow that lawn. How long will it take the two people, working together, to mow the lawn?
Answers
Answer: 16 1/4 minutes
Step-by-step explanation:
Let A be the mowing rate for the first person, and B the rate for the second. X will be the time spent mowing.
We are told that A = 30 min/lawn. B = 45 min/lawn. These are conversion factors, so we can invert them to:
A = 1 lawn/30 min. B = 1 lawn/45 min
If both work together, the amount of lawn that is mowed working togehterwould be the time, X (in minutes), spent times their individual rates:
X*(A + B) = Lawn Mowed
We want to know the time, X, it would take to mow the same 1 lawn together. [Lawn Mowed = 1]. Use the equation:
X*(A + B) = Lawn Mowed
X*((1 lawn/30 min) + (1 lawn/45 min)) = 1
X/(30 min) + X/(45 min) = 1
X/30 + X/45= 1
X + X(30/35) = 30 {Multiply both sides by 30]
(1 + 30/35)X = 30
(65/35)X = 30
X = 30*(35/65)
X = 30/(7/13)
X = 30*(7/13)
X = 210/13
X = 16 1/4 minutes
A rectangular field will be fenced on all four sides. There will also be a line offenses across the field, parallel to the shorter side. If 900 M of fencing are available, what dimensions of the field will produce the maximum area? What is the maximum area?
Answers
Answer:
Pretty sure the dimensions are 125.6 meters by 251.2 meters 31,550.72 square meters.
What is the perimeter of a regular decagon with sides of 14 inches?
Answers
Answer:
140 inches
Step-by-step explanation:
one decagon has 10 sides
14*10= 140
Conor earns $9 an hour for yard work. He raked leaves one afternoon and earned $29.25.
How much does Conor earn for each minute he does yard work?
Hint: There are 60 minutes in 1 hour.
Answers
29.25 divided by 9 is 3.25. You have to take the total amount of money he made $29.25 and divide it by the amount he gets every hour $9. So 29.25 divided by 9 is 3.25 or 3 hours and 15 minutes.
Answer:
15 cents a minute
Step-by-step explanation:
9 ÷ 60 = $0.15
x+3y=23
x-2y= -17
help elimationmethod
Answers
Answer:
1. 20
2.19
ok that will help you
6) Convert 2pie/3 to degrees
A) 30°
B) 60°
120°
D) 240°
Answers
Please, help me with this question
Answers
Answer:
x=0
Step-by-step explanation:
2.5^2x = 1
2.5^2x=2.5⁰
2 x = 0
x=0
Jacob wants to buy a new bike that costs $369. He currently has $150 saved for the bike, and he can add $3 each day to the bike fund. Write an equation and solve to determine how many days it will take Jacob to save enough money for the new bike.
Answers
Answer:
150 + 3x = 369 X= 73
Step-by-step explanation:
X is the amount of days
So 150 minus 369 would be 219
Then take 219/3 and that would mean X equals 73
Scientific Notation
Standard Form
Write this number in standard form:
4.415 x 10-8
Answers
Is this true or false? The following graph represents a proportional relationship: (1 point)
Answers
Answer:
where is the graph??
Step-by-step explanation:
i have no picture soooo like
I really need help with this and happy thanksgiving
Answers
Answer:
C (-2,2)
D (1,-2)
Step-by-step explanation:
happy thanksgiving!
What is the area of the shaded portion of the square?
Answers
Answer:
Maybe 34cm
Sana makatulong..
144.5 cm^3
Step-by-step explanation:
17 x 17 = 289
289 divided by 2 (because half of the square is shaded)
Which equals 144.5 cm ^3
Define the sample space, S, of a fair coin being tossed once.
S=
A. {H, T}
B. {H, H}
C. {T, T}
Answers
Answer:
S = { H,T }
Step-by-step explanation:
Sample space is these two outcomes
If S = 1/2, what number does 4s equal?
Answers
Step-by-step explanation:
If [tex]s=\frac{1}{2}[/tex], then:
[tex]4s=4(\frac{1}{2})\\\\4s=\frac{4}{2}\\\\4s=2[/tex]
The number 4S equals if S = 1/2 is 2, 4S = 2.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given:
S = 1 / 2
Calculate the value of 4S as shown below,
4 × S = 4 × 1 / 2
4S = 2
Thus, 4S = 2
To know more about multiplication:
https://brainly.com/question/1135170
#SPJ2
Find the value of each variable.
I have been stuck on these for a week now. Please help.
Answers
Answer:
Step-by-step explanation:
the varible would be x