{(-5, 9), (2, 31), (9, 143), (11, 151), (0, 42), (5, 97)}Using the equation of the line of best fit, which number is the best prediction of the output when the input is 13?
Answers
Solution
- The equation of the line of best fit can be gotten using a graphing calculator.
- The plot and result of using the given points in a graphing calculator is given below:
- Thus, the equation of the line of best fit is:
\(\begin{gathered} y=mx+b \\ \text{ Using the parameters from the result on the graphing calculator, we have:} \\ m=9.78517 \\ b=42.9544 \\ \\ \therefore y=9.78517x+42.9544 \end{gathered}\)- If the input (i.e. x) is 13, then, the best prediction according to this line of best fit is:
\(\begin{gathered} y=9.78517(13)+42.9544 \\ y=170.16161\approx170 \end{gathered}\)Final Answer
The best prediction is 170
Related Questions
What is the solution to this equation?
–14x = 70
A.x = –5
B.x = 5
C.x = 84
D.x = –84
Answers
Answer:
x = − 5
Step-by-step explanation:
Divide each term by − 14 and simplify.
Answer: x =5
Step-by-step explanation:
14x/14= 70/14
X = 5
SOLVE THE EQUATION and explain YOUR ANSWER
Answers
Using the given quadratic function, it is found that:
a) The vertex is (-2.5, -15.5).
b) The y-intercept is of -3.
c) The solutions are x = -0.28, x = 5.28.
What is the quadratic function?It is modeled by:
f(x) = 2x² - 10x - 3.
Which means that the coefficients are a = 2, b = -10, c = -3.
What is the vertex of the function?It is given by:
\((x_v, y_v)\)
In which:
\(x_v = -\frac{b}{2a}\)
\(y_v = -\frac{b^2 - 4ac}{4a}\)
Hence:
\(x_v = -\frac{-10}{4} = -2.5\)
\(y_v = -\frac{(-10)^2 - 4(2)(-3)}{8} = -15.5\)
The vertex is (-2.5, -15.5).
What is the y-intercept of the equation?It is the value of coefficient c, hence it is of -3.
What are the solutions?\(\Delta = b^2 - 4ac = (-10)^2 - 4(2)(-3) = 124\)
\(x_1 = \frac{10 + \sqrt{124}}{4} = 5.28\)
\(x_2 = \frac{10 - \sqrt{124}}{4} = -0.28\)
The solutions are x = -0.28, x = 5.28.
More can be learned about quadratic functions at https://brainly.com/question/24737967
which of the following is a polynomial
Answers
Answer: the answer is C
Step-by-step explanation:
someone please help me answer this!!
Answers
Answer:
c = 85 in is the answer.
Step-by-step explanation:
a = 36 in
b = 77 in
c = ?
According to the Pythagoras theorem,
a² + b² = c²
36² + 77² = c²
1296 + 5929 = c²
7225 = c²
c = 85 in
∴ c = 85 in is the length of the missing leg.
36^2+77^2=c^2
1296+5929=c^2
C^2=7225
C=-_/7225
C=85
a 30 60 90 Triangle with a long leg of 12
Find the length of the hypotenuse and the short leg.
Answers
Answer:
Step-by-step explanation: 5 17 7 22
the long leg would be opposite the middle angle 60°, the hypotenuse is opposite the 90° angle thus leaving the 30° is opposite the short leg
1) use sin Θ = opp / hyp sin 60° = 12 / hyp to find the hypotenuse
1) use sin Θ = opp / hyp sin 30° = opp/ hyp to find the short leg
hyp = 12 / sin(60) = 13.856 hypotenuse
opp = (12 / sin(60)) (sin 30) = 6.92 short leg
short leg ² + long leg ² = hypotenuse ²
48 + 144 = 192 sum of the legs squared = hyp²
A box contains 10 light bulbs, of which 3 are defective and the other 7 work. If two bulbs are drawn in succession without replacement, what is the probability of getting 1 working bulb and 1 defective bulb?
Answers
Answer:
Working: 7/10
defective:3/10
Step-by-step explanation:
Just trust me
If a=-3 what is 3a squared
Answers
Answer: 27
====================================================
Work Shown:
a = -3
a^2 = (-3)^2 .... squaring both sides
a^2 = 9
3a^2 = 3*9 .... multiply both sides by 3
3a^2 = 27
------------------
Or you could do it this way
3a^2 = 3(-3)^2 ... replace 'a' with -3
3a^2 = 3(9)
3a^2 = 27
Compare theâ z-scores to decide which of the followingâ x-values lie the greatest distance above the mean and the greatest distance below the mean. a. x=â100, μ=â50, Ï=25 b. x=â1, μ=â4, Ï=1 c. x=â0, μ=â200, Ï=100 d. x=â10, μ=â5, Ï=3 a. Theâ z-score is 22. â(Type an integer or decimal rounded to two decimal places asâ needed.) b. Theâ z-score is negative 3â3. â(Type an integer or decimal rounded to two decimal places asâ needed.) c. Theâ z-score is negative 2â2. â(Type an integer or decimal rounded to two decimal places asâ needed.) d. Theâ z-score is 1.671.67. â(Type an integer or decimal rounded to two decimal places asâ needed.) Theâ x-value that lies the greatest distance above the mean is the value from part â¼ and theâ x-value that lies the greatest distance below the mean is the value from
Answers
Which inequality represents the situation described below?
The distance, d, is less than 200 miles.
A. d ≥ 200
B. d > 200
C. d ≤ 200
D. d < 200
Answers
Hello!
The distance, d, is less than 200 miles.
B. d > 200
Find all solutions n to the equation
$$6^{2n+1}+6^2=6^n+6^{n+3}.$$
Answers
9514 1404 393
Answer:
n = -1 or 2
Step-by-step explanation:
The equation can be rewritten using x = 6^n. Then we can solve the quadratic.
\(6^{2n+1}+6^2=6^n+6^{n+3}\\\\6\cdot(6^n)^2+6^2=6^n+6^3\cdot6^n\\\\6x^2+6^2=x(1+6^3)\\\\6x^2-6^3x-x+6^2=0\qquad\text{subtract $x(1+6^3)$}\\\\6x(x-6^2)-1(x-6^2)=0\\\\(6x-1)(x-6^2)=0\\\\x=6^n=6^{-1}\quad\text{or}\quad x=6^n=6^2\\\\\boxed{n=-1\text{ or }2}\)
_____
A graphing calculator can find the zeros of the exponential function ...
y = 6^(2n+1) +6^2 -6^n -6^(n+3) . . . . . right side subtracted
what is -7 + 3x = 8 - 2x
Answers
Answer: x = 3
Step-by-step explanation: -7 + 9 = 8 - 6
1. There are & sections in grade 5. In each section there are 33 students. How many
students in all will attend the trip?
Answers
Answer:
The answer is dependent on how many chairs are available. Then you will be able divide the number of students by how many sections there are.
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
Answers
99 minutes * 0.43 = 42.57 minutes
Rounding to the nearest tenth, we can say that approximately 42.6 minutes have gone by.
Look at the picture plz i will give Brainlest and no links plz
Answers
Answer:
4/5
Step-by-step explanation:
1 2/5= 7/5
7/5-3/5= 4/5
the answer is 2 I'm pretty sure =w=
The perimeter of a rectangle is 20 cm. If the area of the rectangle is 16 cm^2 find the length and width of the rectangle. Let the length be the smaller of the two numbers, and the width the larger.
length =_____ cm
width = ______cm
Answers
A rectangle's perimeter is 40 cm. The rectangle's length is 2 cm longer than its width. Find the rectangle's length and width, which are both 6 cm.
What is meant by rectangle?A quadrilateral is a shape with two opposed sides that are equal and parallel. It is a polygon with four sides and four 90-degree angles. The shape of a rectangle is two dimensional.As a result, every square is a rectangle since it is a quadrilateral with right angles at each of its four corners. But not all rectangles are squares; for a shape to be a square, all of its sides must be the same length.All of a rectangle's interior angles are parallel, making it a parallelogram. In order for a rectangle to be a rhombus, all of its sides must be equal. A rhombus is a parallelogram with all of its sides being equal. If this requirement is met, it becomes a square. A rhombus has equal opposite angles.Perimeter of rectangle \($=40 \mathrm{~cm}$\) (given)
condition :- length \(=2 \times$ breadth $+2$\)
\($\Rightarrow 1=2 \mathrm{~b}+2\)
perimeter \($\mathrm{p}=2(1+\mathrm{b})=40$\)
\(& \Rightarrow 2(2 b+2+b)=40 \\\)
\(& \Rightarrow 2(3 b+2)=40 \\\)
\(& \Rightarrow 6 b=40-4=36 \\\)
\(& \therefore b=6 \mathrm{~cm}\)
\(1=2 \times 6+2=12+2=14 \mathrm{~cm}\)
\(\therefore \text { length }=14 \mathrm{~cm} \text {, breadth }=6 \mathrm{~cm}\)
The complete question is:
The perimeter of a rectangle is 40 cm. The length of rectangle is more than double its breadth by 2 cm. Find the length and breadth of rectangle .
To learn more about rectangle , refer to:
https://brainly.com/question/25292087
#SPJ4
The teen club had a cupcake sale.
They sold 2/3 of their cupcakes in the morning. They sold 1/6 of their cupcakes in the afternoon. They sold 200 cupcakes altogether.
How many cupcakes were left to sell?
Answers
40. Let C be the total number of cupcakes. Then 2/3 x C + 1/6 x C = 200.
Combining , 5/6 x C = 200. So C = 240.
240–200= 40
Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?
Hint: Think about the point where they both meet. For example, if you were to place the graphs on top of each other, what would be the point of intersection?
Type the correct number below without the dollar sign.
Answers
Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.
Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.
Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.
At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.
To learn more about equilibrium of demand and supply:
https://brainly.com/question/30237240
In the figure, AB is a midsegment of XYZ, CD is a midsegment of XAB. and AY - BZ
Answers
Answer:
xyz is isosceses triangle
At Glenn Middle school, 535 students chose football as their favorite sport to watch. That is 58 less than the number of students who chose basketball. Write and solve and equation to find b.
Please help, we just need to know how to set it up. Thank you!
Answers
Answer:
\(b= 535 +58\)
Step-by-step explanation:
It is the oppisite so its jsut b( for basketball) then 535 PLUS becase the question says "58 people LESS"
At Oceanview High School, 116 students play in the marching band. Kellen surveyed a random and unbiased sample of 45 students, 6 of whom were marching band members. What is the best estimate for the school’s population of students?
Answers
State the center point and radius of the circle. Write the equation of the circle in standard and general form.
Answers
Answer:
center: (2, -1)radius: 4standard form: (x -2)² +(y +1)² = 16general form: x² +y² -4x +2y -11 = 0Step-by-step explanation:
You want the center, radius, and equations in standard form and general form for the circle shown in the graph.
CenterThe center is the point marked. Its coordinates are ...
(x, y) = (2, -1)
RadiusThe radius is the distance from the center to any point on the circle. It is usually convenient to read the radius on a graph by considering points on the same horizontal or vertical line as the center of the circle.
Here, the circle passes through point (6, -1), so the radius is 6 -2 = 4.
The radius is 4 units.
Standard formThe standard form equation for a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
For center (2, -1) and radius 4, this is ...
(x -2)² +(y +1)² = 16 . . . . standard form equation
General formThe general form of a polynomial equation is f(x, y) = 0, with the terms listed in lexicographical order by decreasing degree. This is found from the standard form by expanding it, combining terms, and arranging them in the required order:
(x -2)² +(y +1)² = 16 . . . . . standard form
x² -4x +4 +y² +2y +1 -16 = 0 . . . . . eliminate parentheses, subtract 16
x² +y² -4x +2y -11 = 0 . . . . general form equation
(b) In the figure below, mL VYW=48° and m VX=55º. Find m VW.
V
w
m VW = ] •
Y
X
X
![(b) In the figure below, mL VYW=48 and m VX=55. Find m VW.Vwm VW = ] YXX](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/mO2mhD58urlOJPxiDL0AEfX2cNOKGjQe.png)
Answers
Answer: 151⁰
Ok done. Thank to me :>
![(b) In the figure below, mL VYW=48 and m VX=55. Find m VW.Vwm VW = ] YXX](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/eyi4oi8YeQ8soKYuyvkL4Itd8BsIPqz7.jpeg)
A rectangular prism measures 3 ft by 6 ft by 5 ft. If the dimensions of the box were all quadrupled, how would the surface area of the box change?
1.The new surface area would be 16 times the original surface area.
2.The new surface area would be quadruple the original surface area.
3.The surface area would not change.
4.The new surface area would be 12 times the original surface area.
Answers
To determine how the surface area of a rectangular prism changes when all dimensions are quadrupled, we need to compare the original surface area to the new surface area.
The original surface area of the rectangular prism is given by:
SA_original = 2lw + 2lh + 2wh
where l, w, and h represent the length, width, and height of the prism, respectively.
In this case, the dimensions of the original box are:
Length (l) = 3 ft
Width (w) = 6 ft
Height (h) = 5 ft
Substituting these values into the formula, we have:
SA_original = 2(3)(6) + 2(3)(5) + 2(6)(5)
= 36 + 30 + 60
= 126 square feet
Now, if we quadruple all the dimensions of the box, the new dimensions would be:
Length (l_new) = 4(3) = 12 ft
Width (w_new) = 4(6) = 24 ft
Height (h_new) = 4(5) = 20 ft
The new surface area of the enlarged box is given by:
SA_new = 2(l_new)(w_new) + 2(l_new)(h_new) + 2(w_new)(h_new)
= 2(12)(24) + 2(12)(20) + 2(24)(20)
= 576 + 480 + 960
= 2016 square feet
Comparing the original surface area (SA_original = 126 sq ft) to the new surface area (SA_new = 2016 sq ft), we can see that SA_new is 16 times greater than SA_original.
Therefore, the correct answer is:
1. The new surface area would be 16 times the original surface area.
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 1900 seats. The students filled 44% of the seats in the theater. How many 6th graders went on the trip?
Answers
1900 * 0.44 = 836
Bobby surveyed students in his school to determine how many students wanted to increase the amount of time to eat lunch. He displayed his res Lunch Survey Results Response Want to Increase the Time Do Not Want to Increase the Time No Opinion 19 6 Boys 35 Number of Students 28 7 Girls 50
Answers
The table of the number of students is a two-way table, and can be used to determine probability
The probability that a selected person is a girl and do not want the time to be increased is 0.193
How to determine the probabilityThe question is incomplete, so I will give an instance on how to calculate probability using the table
The table entries are given as:
Increase the Time Do Not Increase the Time No Opinion
Boys 35 19 6
Girls 50 28 7
In the above table, the total number of students is:
Total = 35 + 19 + 6 + 50 + 28 + 7
Total = 145
From the table, 28 girls do not want to increase time.
So, the probability that a selected person is a girl and do not want the time to be increased is:
p = 28/145
Divide
p = 0.193
Hence, the probability that a selected person is a girl and do not want the time to be increased is 0.193
Read more about probability at:
brainly.com/question/25870256
HELP PLEASE
Choose a number from 1-50 at random. What is the probability that it is either divisible by 5 or divisible by 7?
Answers
the answer is 8/25
to get this answer i thought of all of the numbers divisible by 5 or 7 to 50 and i got 16 numbers (5,7,10,14,15,20,21,25,28,30,35,40,42,45,49,50)
i got the fraction of 16/50 then i simplified it to get 8/25 hope this helps
Carol sells candles and Yankee Candle. She earns $8.50 per hour plus 6% commission on sales. Last week Carol worked 40 hours. What was Carol’s weekly gross salary if her total sales were $250?
Show work and equation and operation
Answers
Answer:
355.
Step-by-step explanation:
Basic Pay = 8.50 per hour * 40 hours
Basic Pay = 340 dollars.
Commission
Commission wage = gross sales * 6%
Commission wage = 250 * 6/100 = 15 dollars
Income = basic Pay + commission
Income = 340 + 15
Income = 355
URGENT!!! Elementary school students were given a geometry assignment. They were to measure the area of several rectangles and to measure the diagonal of the rectangle as shown in the table.
The equation of the least-squares regression line is
ŷ = 3.6 + 0.113x, where ŷ is the diagonal and x is the area of the rectangle. Which shows the residual plot?
Answers
The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.
Please find attached the graph of the residual plot for the data created with MS Excel
What is a residual plot?A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.
The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158
The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;
Area (in²) \({}\) Residuals
x-value
5 \({}\) -1.0178
10 \({}\) -0.2718
24 \({}\) 0.605
46 \({}\) 0.7874
53 \({}\) 0.7018
78 \({}\) 0.0758
84 \({}\) -0.129
100 \({}\) -0.7538
The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option
Learn more on residual values of a set of data here: https://brainly.com/question/31687998
#SPJ1
True or False
Unit rate is a ration with denominator 2 example 100words in 2 minutes
True
False
Answers
Answer:
The Answer Is True
Step-by-step explanation:
Su is baking 5 batches each of cookies and cupcakes. The cookies use 2 cups of sugar per batch and the cupcakes use 3 cups of sugar per batch. Write two equivalent expressions using the Distributive Property. Then find how many total cups of sugar are needed.
I know the answer is 25 but how would I write the expression.
Answers
Answer:x=25 divided by 5
Step-by-step explanation: