Given:
Table of values for x and y
To find:
the equation of the line of best fit
To determine the line of best fit, we will use a regression calculator.
The regression equation is in the form:
\(\begin{gathered} ŷ=bx+a \\ b\text{ = slope} \\ a\text{ = y-intercpet} \end{gathered}\)\(\begin{gathered} Sum\text{ }ofX=42 \\ Sum\text{ }ofY=29 \\ Mean\text{ of }X=8.4 \\ Mean\text{ of }Y=5.8 \\ Sum\text{ }of\text{ }squares\text{ }SSX=125.2 \\ Sum\text{ }of\text{ }products\text{ }SP=-72.6 \end{gathered}\)\(\begin{gathered} ŷ=\text{ }bX+a \\ b=\frac{SP}{SSX}=\frac{-72.6}{125.2}=-0.57987 \\ \\ a=Mean\text{ of }Y-b(Mean\text{ of }X) \\ a\text{ }=5.8-(-0.58)(8.4)=10.67093 \end{gathered}\)\(\begin{gathered} ŷ=-0.5798x+10.67093 \\ \\ Slope\text{ and intercept t}o\text{ 3 decimal place:} \\ ŷ=-0.580x+10.671\text{ \lparen option C\rparen} \end{gathered}\)
What is the complement of an angle whose measure is
Answer:
Supplementary angles are two angles whose measures sum to a 180 degrees and complementary are the sum have to add up to 90 degrees.
Step-by-step explanation:
Answer:
hope u find it useful
hope this is what u want
1. Find the area of the composite figure below. Make sure you show your work neatly for full
credit.
(3.5)
18 in.
18 in.
9 in.
36 in.
18 in.
The calculated area of the composite figure is 85 cm².
How to calculate the the area of the composite figureFrom the question, we have the following parameters that can be used in our computation:
The composite figure (see attachment)
Where, we have
Rectangle:
Area = length × width.
Therefore, the area of the rectangle is 10 cm × 6 cm = 60 cm².
Triangle:
Area = (1/2) × base × height.
Therefore, the area of the triangle is (1/2) × 5 cm × 10 cm = 25 cm².
To find the total area of the composite figure, we add the areas of the rectangle and the triangle:
Total Area = Area of Rectangle + Area of Triangle
= 60 cm² + 25 cm²
= 85 cm².
Therefore, the area of the composite figure is 85 cm².
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how to get the area of the base ?
Answer:
LxWxH
Step-by-step explanation:
There is a stack of 8 cards, each given a different number from 1 to 8. Suppose we select a card randomly from the stack, replace it, and then randomly selectanother card. What is the probability that the first card is an even number and the second card is less than 4?Write your answer as a fraction in simplest form.
Answer:
3/16
Explanation:
The total number of cards = 8
There are 4 even numbers in the stack: {2,4,6,8}
\(P(\text{the first card is an even number)}=\frac{4}{8}\)The number of cards less than 4,{1,2,3} =3
\(P(\text{second card is less than 4)}=\frac{3}{8}\)Therefore, the probability that the first card is an even number and the second card is less than 4:
\(\begin{gathered} =\frac{4}{8}\times\frac{3}{8} \\ =\frac{1}{2}\times\frac{3}{8} \\ =\frac{3}{16} \end{gathered}\)
et: G6D
1. Identify the Exterior Angles Theorem.
Answer:
If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles
Factor 132w + 55 using the Distributive Property.
Answer:
11(12w+5)
Step-by-step explanation:
common factors of 132 and 55 is 11
So we can take it out by dividing both terms by 11
11(12w+5)
Hopes this helps
Answer:I hope this is helps
good luck
Step-by-step explanation:
132w+55
Factor out from the expression
11(12w+5) this is the distributive Property
2.7.–2.5 = 6.75
A . agree
b. disagree; a negative times a negative is positive
C. disagree; a positive times a negative is negative.
PLEASE answer quick
Does the table below represent a proportional relationship?
х
2
3
4
5
y
6
7
8
9
O A. Yes, because all the ratios of y to x are equal to 2.
OB. No, because all the numbers are positive.
O C. Yes, because all the ratios of yto x are equal to 3.
OD. No, because all the ratios of yto x are not equal.
Answer:
The answer is C. Hope it helps :)
Answer:
I think C Will help...
An aspiring business owner is planning their college course of study and would like to know whether they should pursue a doctoral degree before they open their own business. Explain what you would recommend to them using two specific examples from the bar graph to support your response.
Answer:
Yes
Step-by-step explanation:
The length of a rectangular garden is 5 feet more than its width. It is surrounded by a concrete walkway 3 feet wide. Suppose the total area of the walkway is 210 square feet. Find the length and the width of the garden. I need it fast
the width of the garden is approximately 6.77 feet, and the length is approximately 11.77 feet (since it is 5 feet more than the width).
what is rectangle?
A rectangle is a four-sided polygon with opposite sides that are parallel and equal in length.
Let's denote the width of the garden by x. Then, according to the problem statement, the length of the garden is x + 5.
The total width of the garden and the walkway is x + 2(3) = x + 6, and the total length is x + 5 + 2(3) = x + 11.
The area of the garden itself is x(x + 5), and the area of the garden and the walkway is (x + 6)(x + 11).
The area of the walkway is the difference between the two: (x + 6)(x + 11) - x(x + 5) = 210.
Expanding and simplifying this expression, we get:
x^2 + 17x - 135 = 0
We can solve for x using the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = 1, b = 17, and c = -135, so we have:
x = (-17 ± sqrt(17^2 - 4(1)(-135))) / 2(1)
x = (-17 ± sqrt(769)) / 2
We can discard the negative solution, so we have:
x = (-17 + sqrt(769)) / 2
x ≈ 6.77
Therefore, the width of the garden is approximately 6.77 feet, and the length is approximately 11.77 feet (since it is 5 feet more than the width).
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Brainliest, 10 Points, 5 stars. Solving & Graphing Systems Of Equations. Find the solution of this system of equations.
9514 1404 393
Answer:
(x, y) = (-7, 5)
Step-by-step explanation:
I find a graphing calculator to be useful for solving equations by graphing. The graph shows the solution to be ...
(x, y) = (-7, 5)
__
In these equations, the y-coefficients are the same, so we can eliminate y by subtracting the first equation from the second.
(4x -6y) -(-2x -6y) = (-58) -(-16)
6x = -42 . . . . . . . . . simplify
x = -7 . . . . . . . . divide by 6
Substituting into the first equation gives ...
-2(-7) -6y = -16
6y = 30 . . . . . . . . . . add 16+6y to both sides
y = 5 . . . . . . . . .divide by 6
The solution is (x, y) = (-7, 5).
X+2/3 = 9/10
Solve and re write as decimal
Answer:
0.23333333...
Step-by-step explanation:
X+2/3 = 9/10. X = 9/10 - 2/3 = 27/30 - 20/30 = 7/30 = 0.2333333...
what is the value of x^2 - 6x + 9 when x = 2 + i?
The Expression x^2 - 6x + 9 when x = 2 + i is -2i
To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:
(2 + i)^2 - 6(2 + i) + 9
Simplifying the first term, we get:
(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2
Since i^2 = -1, we can substitute that in and simplify further:
(2 + i)^2 = 4 + 4i - 1 = 3 + 4i
Now we substitute this into the original expression:
(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9
Simplifying further, we get:
= 3 + 4i - 12 - 6i + 9
= 0 - 2i
= -2i
Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.
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how to solve these questions?!
Answer:
1. x + 4 = 9
Hint: the word 'sum' generally refers to addition.
2. 10a = 70
3. \(\frac{3}{4} t\) = 15
4. \(\frac{1}{4} x\) - 4 = 4
Show that Polygon ZSCH
is a Scaled copy of
Polygon XJYN.
As ratio is not given, we cannot prove that they are scaled copy.
Define scaled copy.Corresponding portions, or parts that are at the same location in relation to the remainder of each figure, exist in both the original figure and its scaled copy. These components could be angles, points, or segments. Polygon 2, for instance, is a scaled-down version of Polygon 1. There is a point in Polygon 2 for each point in Polygon 1.
Given,
Polygon ZSCH is a Scaled copy of Polygon XJYN.
We simply calculate the ratio of the lengths of the two corresponding sides of two polygons to determine the scale factor. The scaling factor is known as such and the polygons are similar if the ratio is the same for all matching sides.
As ratio is not given, we cannot prove that they are scaled copy.
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Who wants to have a full on conversation before this question gets deleted?
Answer:
honestly me why not lol
Step-by-step explanation:
Answer:
sure
Step-by-step explanation:
Solve for x. Assume that lines which appear tangent are tangent. Help!!!
Answer:
x = 0
Step-by-step explanation:
From the intersecting secants theorem, If from an exterior point, we draw two secant segments to a circle, then the product of the length of one secant segment and its external secant part will be equal to the product of the length of the other secant segment and its external secant portion.
Thus, applying it to this question;
(x + 27 + 48) × (x + 27) = (x + 45)²
(x + 75)(x + 27) = x² + 90x + 2025
x² + 102x + 2025 = x² + 90x + 2025
Like terms will cancel put to give;
102x - 90x = 0
12x = 0
x = 0/12
x = 0
Determine the following ratio
Using relations in a right triangle, the secant of angle θ is given by:
D. 5/4.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:
h² = 9² + 12²
h = sqrt(9² + 12²)
h = 15.
The secant of an angle is 1 divided by the cosine, hence:
cos(θ) = 12/15 = 4/5.sec(θ) = 5/4.Which means that option D is correct.
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16 is 80% of what number?
O A. 20
O B. 12.8
O C. 500
O D. 128
Answer:
A. 20
Step-by-step explanation:
1. To solve this problem, instead of doing 80/100 times 16, we can do 100/80 times 16 (inverse of percentage, basically).
\(\frac{100}{80} *16\) \(\frac{5}{4} *16\) \(\frac{80}{4}\) \(20\)Therefore, the answer is A. 20.
Jack bought 3 slices of pizza and 4 slices f mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of 8.50. What is the cost of one slice of mushroom pizza?
A. $3.00
B. $1.50
C. $2.00
D. $3.50
PLEASE HELP ♡
Answer:
C
Step-by-step explanation:
Let's set up a simultaneously equation to solve for two unknows.
Let x be the cost of cheese pizza
Let y be the cost of mushroom pizza
"Jack bought 3 slices of pizza and 4 slices f mushroom pizza for a total cost of $12.50."
Therefore,
3x + 4y = 12.50 (Equation 1)
"Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of 8.50."
Therefore,
3x + 2y = 8.5 (Equation 2)
From equation 1, let's solve for x in terms of y
3x + 4y = 12.50
3x = 12.50 - 4y
\(y = \frac{12.50-4y}{3}\)
Plug in this y value into equation 2, we have:
\(3(\frac{12.50-4y}{3}) + 2y = 8.5\)
We will get that y = 2
Hence, option C is the answer.
use the following formula to solve the following quadratic equation 2x^+7a=15
Answer:
Hope this helps pls mark me Branliest
Step-by-step explanation:
that's my answer
whats 5+3+8+9+10+50+100
Answer:
185 is the answer
Step-by-step explanation:
your answer is 185
Answer:
Hello! :) have a good day!
5+3+8+9+10+50+100=185
Take different values for x and find the value of 3x+5.
Answer:
when x=1
3x+5.=3×1+5=8
when x=0
3x+5.=3×0+5=5
Step-by-step explanation:
when x=-1
3x+5.=3×-1+5=-3+5=2
Step-by-step explanation:
solution
here,
let the value of x be 1, then
3x+5
=3*1+5
=8
let the value of x be 2, then
3x+5
=3*2+5
=6+5
= 11
Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 for each hour of work. Her total fee for a 4 hour job, for instance, is $32.
Let y represent Carolina's fee (in dollars) for a single job that took x hours for her to complete.
Complete the equation for the relationship between the fee and number of hours.
y=______
Answer:
y=6x+8
Step-by-step explanation
correct on khan ;)
4
7,304 x 66 =
(2 Points)
Enter your answer
Answer:
yes no what yes no what yesp
A teacher needs to cut pieces of yarn, each 3/4 yards in length. How many
pieces can he cut from a string of yarn that is 6 yards long?
Answer:
8 pieces
Step-by-step explanation:
Take 6 yds and divide by the length of each piece
6 ÷ 3/4
Copy dot flip
6 * 4/3
24/3
8
We can get 8 peices
Which expressions are completely factored?
30a^6-24a^2=3a^2(10a^4-8)
The factorisation of the given algebraic expression is \(6a^{2} (5a^{4}-4 )\).
The given expression is \(30a^{6} -24a^{2}\).
We need to factorise the given expression.
What are the factors?Each of these numbers and expressions is referred to as a factor of algebraic expressions if it is possible to express algebraic expressions as the product of numbers, algebraic variables, or algebraic expressions.
Now, \(30a^{6} -24a^{2}=6a^{2} (5a^{4}-4 )\)
Therefore, the factorisation of the given algebraic expression is \(6a^{2} (5a^{4}-4 )\).
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A farmer notes that in a field full of horses and chickens there are 35 heads and 98 feet. How many of each animal are there?
Answer:
There are 14 horses and 21 chickens.
Step-by-step explanation:
First, you have to make expression for horse and chicken. So we can let x be the number of horses and y will be the number of chickens. Next, given that the total number of feet for both animals is 98 so you have to make simultaneous equation :
\(4x + 2y = 98\)
( horse has 4 feet and chicken has 2 feet )
There are a total of 35 heads so the other equation will be :
\(x + y = 35\)
Lastly, you have to solve it :
\(4x + 2y = 98\)
\(2(2x + y) = 98\)
\(2x + y = 49 - - - (1)\)
\(x + y = 35 - - - (2)\)
\((1) - (2)\)
\(2x + y - x - y = 49 - 35\)
\(x = 14\)
\(substitute \: x = 14 \: into \: (2)\)
\(14 + y = 35\)
\(y = 35 - 14\)
\(y = 21\)
At the gas station, three small drinks and two large drinks contain 108 ounces of cola. A small drink contains a third as much cola as a large drink. How much cola does each size contain (I need to write an equation)
Small drink: 12 ounces
Large Drink: 36 ounces
Explanation
Step 1
set the equations
let x represents the number of ounces of one small drink
let y represents the number of ounces of a large drink
hence
a)three small drinks and two large drinks contain 108 ounces of cola
\(3x+2y=108\rightarrow equation(1)\)b)A small drink contains a third as much cola as a large drink
\(x=\frac{1}{3}y\rightarrow equation(2)\)Step 2
solve the equations
\(\begin{gathered} 3x+2y=108\rightarrow equation(1) \\ x=\frac{1}{3}y\rightarrow equation(2) \end{gathered}\)a) replace the x value from equation (2) into equation (1) and solve for y
\(\begin{gathered} 3x+2y=108\rightarrow equation(1) \\ 3(\frac{1}{3}y)+2y=108\rightarrow equation(1) \\ y+2y=108 \\ 3y=108 \\ \text{divide both sides by 3} \\ \frac{3y}{3}=\frac{108}{\cdot3} \\ y=36 \end{gathered}\)b) now, replace the y value into equaiton (2) to find the x value
\(\begin{gathered} x=\frac{1}{3}y\rightarrow equation(2) \\ x=\frac{1}{3}36 \\ x=12 \end{gathered}\)therefore:
Small drink: 12 ounces
Large Drink: 36 ounces
I hope this helps you
Helllpppppp don’t get it wrong I got 2 wrong already