The equation of curve of best fit is y = -30.17x + 14.49. To find the curve of best fit, we would require two equations which are explained in details below.
Equation of Straight LineData;
∑x = 16∑y = 50.9∑x^2 = 35∑xy = 24.6The equation of straight line is y = ax + b
If we modify it to fit into this problem,
[tex]\sum y = na + b \sum X ... equ(i)\\\sum xy = a \sum x + b \sum x^2 ...equ(ii)[/tex]
Let's substitute the values into the equations and solve
[tex]\sum y = na + b \sum X ... equ(i)\\\sum xy = a \sum x + b \sum x^2 ...equ(ii)\\50.9 = 6*a + b*16 ...equ(i)\\24.6 = a*16 + b*35 ...equ(ii)\\50.9 = 6a + 16b ...equ(i)\\24.6 = 16a + 35b ...equ(ii)[/tex]
Let's solve both equation (i) and equation (ii)
[tex]50.9 = 6a + 16b...equ(i)\\24.6 = 16a + 35b ...equ(ii)\\a = -30.17, b = 14.49[/tex]
We can substitute the values of a and b into the equation
[tex]y = ax + b\\y = -30.17x + 14.49[/tex]
The equation of curve of best fit is y = -30.17x + 14.49
Learn more on equation of best fit on linear regression here;
https://brainly.com/question/9366563
A triangle is inscribed in a rectangle, as shown below. What is the area of the shaded region?
option C
47.5 cm²
hope it helps...!!!
Shade 2/3 of this grid
Answer:
The answer is in the attachment
Step-by-step explanation:
!!PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!
Step-by-step explanation:
Hope its helpful for you!!
Can someone help me with this pls
Answer:
10^4 * 4^5
Step-by-step explanation:
4^5 and 4^10 cancell out by the rule of exponents, so the denominator becomes 1. what is left is 10^4 * 4^5 in the denominator.
Answer:
[tex]{10^4*4^5}[/tex]
Step-by-step explanation:
Use the Qoutient of Powers Property: [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
[tex]\frac{10^4*4^{10} < ==a^m}{4^5 < ==a^n}\\\\{10^4*4^{10-5}}\\\\{10^4*4^5}[/tex]
Hope this helps!
Hello! anyone???
[tex]please \: see \: the \: picture \: [/tex]
Answer:
7
Step-by-step explanation:
I assume x with dash on top is mean
The sum of all x's is 175 and there are 25 x's.
To find the mean:
175/25 = 7
What is 18x98 and if you were to choose between which one would you choose A)1764 B)1976 C)5676 Thank you!
Answer:
1764
Step-by-step explanation:
10 x 98 = 980
8 x 98 = 784
980 + 784 = 1764
Answer:
I would choose A) 1764
Step-by-step explanation:
I know this because I used a calculator;)
Which comparison is correct?
Answer:
B
Step-by-step explanation:
-5 is less than -4 is true. it cannot be the first one because they are equal. It cannot be the third one because the absolute value of 5 (which is 5) is not greater than 7. And, it cannot be the last on because the absolute value of -5 (which is also 5) is not less than -4.
The dimensions of a rectangle are:
-8x and -7x
Write the simplified expression for the rectangle's area.
Step-by-step explanation:
area=L×W
so
Area= (-8x)(-7x)
= 56x^2
Please help!! Will mark brainlyest.
Answer:
Reflected on the Y axis
Step-by-step explanation:
x axis is 0, while y axis is both 7 and -7.
Last Question HELP
What is the inverse of `y = 5x + 7
Show Steps!
Answer:
[tex]\sf y' = \dfrac{x-7}{5}[/tex]
Explanation:
⇒ y = 5x + 7
⇒ 5x + 7 = y
⇒ 5x = y - 7
⇒ x = (y-7)/5
replace x with y
⇒ y' = (x-7)/5
Take this and solve for x
5x=y-7x=y-7/5Interchange y and x
y=x-7/5So
The inverse is
[tex]\\ \rm\dashrightarrow y^{-1}(x)=\dfrac{x-7}{5}[/tex]
Andrew is building a ramp for a snowboarding competition. The rules of the competition say that the height of the ramp must be 8 feet. Andrew has decided to make the base of the ramp and the piece of the ramp that forms the height meet at a 90° angle. The third piece of the ramp will be a straight line connecting the highest point of the ramp to the furthest point of the base, forming a 30° angle across from the 8 foot piece of the ramp. What will be the length of the third piece of the ramp?
A. 13.86 feet
B. 10 feet
C. 16 feet
D. 9.24 feet
Choose Your Own Solution
3x + 8 = 3x +?
What would make it true for just one value of x?
Answer:
Your answer would be
x = 8
Please help me with this question.
Answer:
C
Step-by-step explanation:
C, because the second line keeps adding 6 to it and, the third line keeps adding 7.
Someone earned 24$ in two years by investing 400$ what is the simple intrest
What type of triangle is defined by the following set of side lengths
11, 9 , 7
Acute
Obtuse
Right
Not a triangle
Answer:
ACUTE TRIANGLE
Step-by-step explanation:
If the sum of the squares of the two shorter sides of a triangle is greater than the square of the longest side, the triangle is acute. However, if the sum of the squares of the two shorter sides of a triangle is smaller than the square of the longest side, the triangle is obtuse.
Therefore, the triangle with sides 11, 9, and 7 is an acute triangle since 9² + 7² is greater than 11²
[tex] {9}^{2} \: + \: {7}^{2} > \: {11}^{2} \\ 130 > 121[/tex]
The shopping center has a parking lot that is 210.12 feet by 155.13 feet. What is the perimeter of the parking lot
The shopping center has a parking lot that is 210.12 feet by 155.13 feet. The perimeter of the parking lot is 730.5 ft. P = 2(l + w); P = 2(210.12 + 155.13); P = 2(365.25); P = 730.5
Answer:
Step-by-step explanation:
b is the answer i first i was confused with the other answer but its b
Two solids are described in the list below.
• One solid is a sphere and has a radius of 6 inches.
• The other solid is a cylinder with a radius of 6 inches and a height of 6 inches.
What is the difference between the volumes, in cubic inches, of the solids in terms of it?
Answer:
72pi
Step-by-step explanation:
ryan bought a wii game for 34.00 at the mall. he had to pay 6 % sales tax. How much did he pay in all
Answer:
$36.04
Step-by-step explanation:
34 * 1.06 = 36.04
i need assistance with math pls show your work to
Answer:
x = 7.5, x = -5
Step-by-step explanation:
1. Plug a(2), b(-5), and c(-75) into the qudratic formula:
[tex]x_{1,2} =\frac{-(-5)+-\sqrt{(-5)^{2}-4(2)(-75) } }{2(2)}[/tex]
2. Find the square:
[tex]x_{1,2} =\frac{-(-5)+-\sqrt{25-4(2)(-75) } }{2(2)}[/tex]
[tex]x_{1,2} =\frac{-(-5)+-\sqrt{25+600} }{2(2)}[/tex]
[tex]x_{1,2} =\frac{-(-5)+-25 }{4}[/tex]
3. Separate the solutions:
[tex]x_{1} = \frac{-(-5)+25}{4} , x_{2} =\frac{-(-5)-25}{4}[/tex]
4. Solve for both:
[tex]x_{1} =\frac{5+25}{4} \\\\x_{1} =\frac{30}{4} \\\\x_{1} =\frac{15}{2}\\\\x_{1} =7.5[/tex]
--------------------
[tex]x_{2} =\frac{5-25}{4} \\\\x_{2} =\frac{-20}{4} \\\\x_{2} =-5[/tex]
In conclusion, the solutions are x = 7.5 and -5.
hope this helps!
solving quadratic inequalities
Answer:
[tex]\boxed{\sf x < -3\quad \mathrm{or}\quad \:x > -1}[/tex]
Step-by-step explanation:
[tex]\sf x^2+4x+3 > \:0[/tex]
In order to solve inequality, we need to factor the left hand side. we can use the transformation [tex]ax^2+bx+c=a(x-x_1)(x-x_2)[/tex] to factor quadratic polynomials. where x(1) & x(2) are the solutions of the quadratic equation ax²+bx+c=0 .
[tex]\sf x^2+4x+3=0[/tex]
Quadratic formula:-
[tex]\boxed{\sf x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]
[tex]\sf a=1\\b=4\\c=3[/tex]
[tex]\sf \cfrac{-4\pm \sqrt{4^2-4\times \:1\times \:3}}{2\times \:1}[/tex] ← Calculate
[tex]\sf \sqrt{4^2-4\times \:1\times \:3}=\boxed{2}[/tex]
[tex]\sf \cfrac{-4\pm \:2}{2\times \:1}[/tex]
Now, let's Separate the solutions,
[tex]\sf x_1=\cfrac{-4+2}{2\times \:1},\:x_2=\cfrac{-4-2}{2\times \:1}[/tex]
Do the calculations,
[tex]\sf x_1=\cfrac{-4+2}{2\times \:1}=\boxed{-1}[/tex]
[tex]\sf x_2=\cfrac{-4-2}{2\times \:1}=\boxed{-3}[/tex]
[tex]\boxed{\sf x < -1\quad \mathrm{or}\quad \:x > -3}[/tex]
What is 6 3/4 times 3 1/2 divided by 3 3/5 divided by 3 3/4?
Answer:
1.75
Step-by-step explanation:
d = 6 m.
Calculate the circumference of the circle.
Step-by-step explanation:
circumference = 2 pi r = 2 r pi
= d pi
= 6 × 3.14 = 18.84
Which statement is true?
We will see that the fourth statement:
"-0.3*|3 + 8x| = 0.9 has no solutions."
Is the true statement.
Which statement is true?Here we need to see which statement regarding absolute value equations is true.
Here you can see that the fourth statement is:
-0.3*|3 + 8x| = 0.9 has no solutions.
Now, if you look at the left side of the above equation, the left side will always be negative, while the right side is positive, then the equation can't have a solution.
There is no value of x that makes that equation true, so it is true that the given equation has no solutions. This is the correct statement.
If you want to learn more about absolute values, you can read:
https://brainly.com/question/1782403
Which property was used to simplify the expression?
3c+9+4c+=3c+4c+9
distributive property
commutative property
associative property
inverse property
Answer:
(b) commutative property
Step-by-step explanation:
The "simplified" expression has the positions of the last two terms in the sum swapped. The property of addition that lets you change the order of the terms is the commutative property of addition.
Landon Wallin is an auto mechanic who wishes to start his own business. He will need $4100 to purchase tools and equipment. Landon decides to finance the purchase with a 60-month fixed installment loan with an APR of 6%.
a) Determine Landon's finance charge.
b) Determine Landon's monthly payment.
Answer:
a.$1230
b.$20.50
Step-by-step explanation:
Assuming Landon only makes the minimum payments for the sixty months this is how you would find it
Multiply loan by percentage over the five years: 4100 x .3 = 1230
Then divide that amount by months paid: 1230/60= 20.5
Please help me asap
Answer:
One tank can hold, on average, 108.1 gallons of water. A half tank will hold 54.05 gallons of water.
Step-by-step explanation:
432.4 galloons in total in 4 tanks
432.4 : 4
? : 1
432.4/4=108.1, so 108.1 gallons in each tank
Half of 108.1 is 54.05, so half a tank would have 54.05 gallons.
Which of the following is true? (8th Math)
Please help
Find the area of each triangle.
Answer:
c is 7
Step-by-step explanation:
becuase 4x4=16 then u divide 16\2=7
If Angie spins the spinner 250 times, predict the number of times it will land on green.
Outcome Freq. Red 4 Green 10 Blue 6
Answer: 2500
Step-by-step explanation: 250 spins times the amount of greens expected equals 2500.
Harry's kitchen table is round and has a radius of 2 feet. What is the tabletop's diameter?
Answer:
4
Step-by-step explanation:
An object's radius is half of the object's diameter.
Solving for diameter
d = r * 2Solving for radius
r = d/2d = r * 2
= 2 * 2
= 4
The diameter of Harry's table is 4 feet.
IF SAM BUY'S A CHOCOLATE AT PRICE 8 DOLLER AND SELLS THE CHOCOLATE AT PRICE 8.5 DOLLER. HOW MUCH CHOCOLATE WOULD SAM HAVE TO SELL TO MAKE A PROFIT 25 PERCENT.
Answer:
................... Sam should sell 25 chocolate
Step-by-step explanation:
hahaha