Answer:
0.00005
Step-by-step explanation:
Quadratic curve fitting
The table shows the monthly sales (thousands) for a new hair salon since its grand opening in March
Month. 0, 1, 2, 3,. 4,. 5
Sales 5.6, 5.8, 6.2, 6.9, 7.9,. 9.0.
1) Find the best fitting quadratic model.
2) What is the prediction for total sales in September?
Algebra 1 Notes A.11 Quadratic Regression Mrs. Grieser
Name: ________________________________________ Date: ______________ Block: _________
Linear Regression Review
Suppose we have the following points:
1) Draw a scatter plot of the data:
2) What is the line of best fit?
Use the calculator:
Turn on diagnostics (Catalogue: DiagnosticsOn) to view correlation coefficient. The
closer |r| = 1, the better the data fit
<STAT PLOT> Turn plot 1 on, and choose scatter plot, L1, L2
Enter x values in L1
Enter y values in L2
<STAT><CALC><4:LinReg>L1, L2, <VARS><Y-VARS><1:Function><1:Y1> <enter>
Y = ax + b = equation of line of best fit. Equation: ________________________________
Press <ZOOM>< 9:ZoomStat>
Questions: What would we expect the y-value to be for x value 59? 64? 67?
Use the equation or TABLE feature of the calculator to find out…
x = 59, y = ____________, x = 64, y = ___________, x = 67, y = ________
What would we expect the x-value to be for a y value of 2? _________
The line of best fit allows us to make predictions for data that is almost linear.
What if data is not linear but is more like another curve?
Algebra 1 Notes A.11 Quadratic Regression Mrs. Grieser Page 2
Quadratic Curve of Best Fit (Quadratic Regression)
Plot the data (same as linear regression)
Use calculator QUADREG function to find curve equation and predict values.
Calculator regression functions: <STAT><CALC>…
o 5: QuadReg: quadratic regression – finds a quadratic of best fit (y=ax2+bx+c)
Example 1:
The table shows the monthly sales (thousands) for a new hair salon since its grand opening
in March.
Month 0 1 2 3 4 5
Sales 5.6 5.8 6.2 6.9 7.9 9.0
1) Find the best fitting quadratic model. ________________________________
2) What is the prediction for total sales in September? ___________________
3) How do you know that the better model to use a quadratic fit rather than a linear fit?
Example 2:
Mrs. Grieser's class did an experiment by rolling a marble down different length slanted
boards and timing how long it took. The results are shown below:
sec. 0 4.5 11 13.4 10 8.9 14.1 9.5 12.6
cm. 0 10 60 90 50 40 100 45 80
1) Plot the data:
2) What is the quadratic curve of best fit?
3) Based on the graph, how long would it take for the
marble to roll 15 cm?
4) Approximately how far will the marble travel in 3
seconds?
5) How do we know that a quadratic model is better than a linear model for this example?
how do you do 4+1346=? 600x787 and 675dividedby700=
Answer:
How do you do 4+1346=? AnswerL 1350
600x787 and 675dividedby700= 472200 :D
Step-by-step explanation:
Answer:
4+1346=1350 ... 600x787=472200
675÷700=0.96
The distribution of annual profit at a chain of stores was approximately normal with mean \mu = \$66{,}000μ=$66,000mu, equals, dollar sign, 66, comma, 000 and standard deviation \sigma = \$21{,}000σ=$21,000sigma, equals, dollar sign, 21, comma, 000. The executives conducted an audit of the stores with the lowest 20\%20%20, percent of profits. What is closest to the maximum annual profit at a store where the executives conducted an audit?
Answer:
The closest to the maximum profit is [tex]x = \$ 83682[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = \$66,000[/tex]
The standard deviation is [tex]\sigma = \$ 21000[/tex]
The percentage of profit is 20%
Generally the closest to the maximum annual profit at a store where the executives conducted an audit is mathematically evaluated as follows
[tex]P(X > x ) = 0.20[/tex]
=> [tex]P(X > x ) = P(\frac{X -x}{\sigma } > \frac{x -66000}{21000} ) = 0.20[/tex]
From the z-table the z-score for 0.20 is
[tex]z-score = 0.842[/tex]
So
[tex]\frac{x -66000}{21000} = 0.842[/tex]
=> [tex]x = \$ 83682[/tex]
Answer:
48,000
Step-by-step explanation:
△PQR is rotated 180° about the origin. What is the coordinate for Q' ?
(3, 2)
(2, -3)
(-3, 2)
(-2, 3)
Part: 2
△PQR is reflected across the y-axis. What is the coordinate for R' ?
(-3, -4)
(-4, 3)
(4, -3)
(3, 4)
Answer:
Part 1:
Q’ = (2, -3)
Part 2:
R’ = (-3, -4)
Hope this helps!
You are a car salesperson and make $17.50 per hour. You are paid on a biweekly basis. Your boss encourages a competition between employees by letting you know that you will receive $100 for each new car you sell. In the first week, you work 20 hours and sell 2 cars. In the second week, you work 30 hours and sell 3 cars. How much will your pay be at the end of the these two weeks?
Answer:
Your pay at the end of the these two weeks will be $1,375
Step-by-step explanation:
In the first place, it is convenient to calculate your salary each week, and then simply add the salary for each week and obtain the fortnightly pay.
In the first week you work 20 hours and sell 2 cars. Knowing that you earn $ 17.50 per hour and you receive $ 100 for each new car that you sell, then to obtain the payment in this first week you perform the calculation:
20 hours* $17.50 per hour + 2 cars * $100 for each car= $350 + $200 = $550
In the second week you work 30 hours and sell 3 cars. Then to obtain the payment in this second week you perform the calculation:
30 hours* $17.50 per hour + 3 cars * $100 for each car= $525 + $300 = $825
Then your salary at the end of these two weeks is calculated by:
Payment of the first week + Payment of the second week
$550 + $825 = $1,375
Another way to solve this problem is, first, add the total number of hours you did during these two weeks and the number of cars sold:
hours= number of hours in the first week + number of hours in the second week= 20 hours + 30 hours= 50 hourscars= number of cars sold in the first week + number of cars sold in the second week= 2 cars + 3 cars= 5 carsThen your salary at the end of these two weeks is calculated by:
50 hours* $17.50 per hour + 5 cars * $100 for each car= $525 + $300 = $1,375
Note that either way you get the same result.
Your pay at the end of the these two weeks will be $1,375
1. What is AC?
AC = 6
AC = 24
AC = 8
AC = 16
Answer:
AC = 24
Step-by-step explanation:
If you subtract C - A, you get
16 - (-8) = 16 + 8 = 24
Answer:
AC=24
Step-by-step explanation:
straws are sold in packs and boxes
there are 15 straws in each pack
there are 48 straws in each box
Tricia buts p packs of straws and b boxes of straws
write down an expression in terms of p and b for the total number of straws bought by Tricia
help me please :)))))
Answer:
p=2/3 mn
p/n=2/3 m(
(3)p/n=2/3(3)m
3p/n=2m
3p/2n=2m/2
3p/2n=m (letter B)
Patty measured a house and its lot and made a scale drawing. In real life, the front patio is 14 meters wide. It is 2 cm wide in the drawing. 1 cm is equal to how many meters?
14.) George is designing a pool that will be 34 feet long. He plans to make
a scale drawing of the pool by letting 1/4 inch represent 1 foot. How long
should the line representing the length of the pool in the diagram be?
Answer:
I believe the answer is 8.5 inches long
Step-by-step explanation:
we have to find out how long 1/4 × 34 is, since each 1/4 represents one of the 34 feet of the pools length.
34×.25 = 8.5
Solve the equation for x, and enter your answer below.
6(x-4) + 7 = -5
Answer:
x=2
Step-by-step explanation:
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)?
Answer:
C) y − 5 = −(x − 2)
Step-by-step explanation:
You were lifting weights with 220,000 and a volume of 1000cm^3. what is the density?
Answer:
220g/cm³
Step-by-step explanation:
Given parameters:
Mass of the weight = 220000g
Volume = 1000cm³
Unknown:
Density of weight = ?
Solution:
Density is the mass per unit volume of a substance.
Mass is the amount of matter in a substance.
Volume is the amount of space a substance occupies
Density = [tex]\frac{mass}{volume}[/tex]
Input the parameters and solve
Density = [tex]\frac{220000}{1000}[/tex] = 220g/cm³
(28÷4)+3+(10-8)x 5 please try to help asap
Answer:
20
Step-by-step explanation:
WORK OUT:
NO SILLY ANSWERS OR I WILL REPORT!
Answer:
1
Step-by-step explanation:
Any number raised to the power of 0 equals to 1
Step-by-step explanation:
Hey there!
Given;
[tex] {7}^{0} [/tex]
The answer would be one (1).
Reason: Anything to the power "0" is 1.
So, 7^0 is 1.
Hope it helps...
A magic carpet is made with three colors of yarn. The ratio of each color in the carpet is shown below: 10 parts gold yarn 7 parts bronze yarn 3 parts silver yarn The magic carpet is made with a total of 150 meters of yarn. How much silver yarn is in the magic carpet?
Answer:
There are 22.5 meters of silver yarn
Step-by-step explanation:
Gold yarn : bronze yarn : silver yarn
10 : 7 : 3
Gold yarn = 10
bronze yarn = 7
silver yarn = 3
Total ratio = 20
Total meters = 150 meters
How much silver yarn is in the magic carpet?
Quantity of silver yarn in the carpet = silver yarn ratio / Total ratio × total meters of yarn
= 3 / 20 × 150
= 450 / 20
= 22.5 meters
There are 22.5 meters of silver yarn
Bronze yarn = bronze yarn ratio / Total ratio × total meters of yarn
= 7 / 20 × 150
= 1,050 / 20
= 52.5 meters
Bronze yarn = 52.5 meters
Quantity of gold yarn in the carpet = gold yarn ratio / Total ratio × total meters of yarn
= 10 / 20 × 150
= 1500 / 20
= 75 meters
Gold yarn = 75 meters
find the value of each variable 4y 3x 8 12
Answer:
4x812y3
Step-by-step explanation:
Which shows how to solve the equation 3/4x = -6 for x in one step?
Answer:
The first option 3/4(4/3)x=-6(4/3)
Step-by-step explanation:
Divide by 3/4 (so multiply 3/4 by 4/3) to cancel out the 3/4 so that only x is on that side.
A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski. Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski. Write a system of equations that can be used to determine when the cost will be the same, then solve your system.
Answer: The cost will be same for 6 hours.
Step-by-step explanation:
Given: A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski.
Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski.
Let x = Number of hours
y = Total cost
Then, Total cost (in $) for first company (y) = 22+3x
Total cost (in $) for second company (y) = 17.50+3.75x
So required system of equations :
y = 22+3x
y= 17.50+3.75x
When the cost will be the same,
22+3x = 17.50+3.75x
⇒ 3x - 3.75x = 17.50- 22
⇒ - 0.75x = -4.5
⇒ x =6 [Divide both sides by -0.75]
Hence, the cost will be same for 6 hours.
what is value of x , 1x + 2x = 30
Answer:
x = 10
Step-by-step explanation:
1x + 2x = 30
3x = 30
x = 10
Segment FB is graphed on the coordinate plane where Fis (- 7, - 4) and B is (5, 2) . If point A is graphed of the way from F to B , where is point A located ? 3/4 of the way from F to B, where is point A located?
Answer:
Step-by-step explanation:
7, 1
My son, Garrett, is 11 years old and has a piggy bank that he wants to fill. He started with 5 one dollar bills. Every Saturday he earns 3 more dollar bills for chores he’s completed. How many one dollar bills will he have by the end of 10 weeks?
1. Write a function model, M(x), that represents the total number of one dollar bills garret will have in one dollar bills, x
2. Identify the independent and dependent quantity.
3. The domain and range are represented as discrete or continuous?
4.What is a reasonable domain and range for this scenario?
Thanks for the help!
Answer:
1) M(x) = 5 + 3x
2) Dependent variable; 3 dollar bills
Independent variable: chores
3) Range is continuous
Domain is discrete
4) Range: 0 ≤ x ≤ 10
Domain: 5 ≤ M ≤ 35
Step-by-step explanation:
We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.
Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;
M(x) = 5 + 3x
After 10 weeks, total number is;
M(10) = 5 + 3(10)
M(10) = 35
The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.
After 10 weeks, the range and domain will be;
Range: 0 ≤ x ≤ 10
For the; Domain:
For x = 1, M(0) = 5 + 3(0) = 5
M(10) = 35
Thus;
Domain: 5 ≤ M ≤ 35
The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.
Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.
Solve the inequality and graph the solution on the line provided.
8r - 9> -17
Pls help me !!!
Answer:
[tex]\boxed { x > -1}[/tex]
Step-by-step explanation:
Solve the following inequality:
[tex]8x - 9 > - 17[/tex]
-Add [tex]9[/tex] to both sides:
[tex]8x - 9 + 9 > -17 + 9[/tex]
[tex]8x > -8[/tex]
-Divide both sides by [tex]8[/tex]:
[tex]\frac{8x}{8} > \frac{-8}{8}[/tex]
[tex]\boxed { x > -1}[/tex]
-The number line (graphed):
Raymond wants to run 15/16 mile after school. The school’s track is 3/16 mile long. How many laps around the track will Raymond have to run?
A ball is thrown directly upward from a height of 3 ft with an initial velocity of 20 ft/sec. The function s(t)=−16t2+20t+3 gives the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reaches its maximum height and find the maximum height.
Answer:
[tex]t=\frac{5}{8}s[/tex] and [tex]s(\frac{5}{8})=\frac{37}{4}ft[/tex]
Step-by-step explanation:
There are different approaches you can take to solve this problem. You can look at it from the geometric approach or the calculus approach. I will us the geometric approach.
When we analyze the given function for the height of the ball:
[tex]s(t)=-16t^2+20t+3[/tex]
we can see that we are dealing with a quadratic function. This means that the graph will be an inverted parabola, just like the one in the attached picture.
so the idea is to find the vertex of the parabola to find the highest the ball gets to be and the time it gets to be at that height.
In order to do so, we can use the vertex formula, which looks like this:
[tex]t=-\frac{b}{2a}[/tex]
this is use when you have a function with the form:
[tex]f(x)=ax^2+bx+c[/tex]
in this case:
a=-16, b=20 and c=3, so the formula then turns to:
[tex]t=-\frac{20}{2(-16)}[/tex]
which yields:
[tex]t=\frac{5}{8} s[/tex]
which is our first answer. So we can then use this to find the maximum height of the ball, just by substituting t into the original function:
[tex]s(\frac{5}{8})=-16(\frac{5}{8})^2+20(\frac{5}{8})+3[/tex]
which yields:
[tex]s(\frac{5}{8})=\frac{37}{4} ft[/tex]
which is our second answer.
can someone please help me i begging :(
Answer:
x=-8
Step-by-step explanation:
pls give me brainliest
Answer:
-2x+ 8 = 10.
Simplified answer: 8.
I tried my best.
Step-by-step explanation:
Determine which product has the lower unit price a 16- ounce bag of chocolate for $1.99 or B an 18- ounce bag of chocolates for $2.29
Step-by-step explanation:
Just divide 16 and 1.99 and 18 and 2.29 and choose the one with less value
HELP PLEASEEEEEE!!!!
Answer:
c by 3 minutes a day your answer is c
A recipe calls for 4 cups of flour to 6 tablespoons of shortening. How many tablespoons of shortening are needed for 6 cups of flour?
Answer:
8 tablespoons of shortening
Step-by-step explanation:
mathhhh
Write an equation in slope-intercept form that goes through the points (4, 4) and (1, 2).
Step-by-step explanation:
Hey there!
The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).
Note: Use double point formula for the equation.
Now;
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y - 4) = \frac{2 - 4}{1 - 4} (x - 4)[/tex]
Simplify it.
[tex](y - 4) = \frac{ - 2}{ - 3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4[/tex]
[tex]y = \frac{2}{3}x - \frac{8}{3} + 4 [/tex]
[tex]y = \frac{2}{3} x - \frac{8 + 12}{3} [/tex]
[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]
Therefore, the equation is; y = 2/3x+4/3.
Hope it helps...