Regression equations are used to represent the relationship between the x and y variables.
The regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]
Using a graphing calculator, we have the following parameters
Sum of x: [tex]\mathbf{\sum x = 269}[/tex]Sum of y: [tex]\mathbf{\sum y = 3170}[/tex]Mean of x: [tex]\mathbf{\bar x = 38.4286}[/tex]Mean of y: [tex]\mathbf{\bar y = 452.8571}[/tex]Sum of squares: [tex]\mathbf{SS_x = 1679.7143}[/tex]Sum of products: [tex]\mathbf{SP = -648.5714}[/tex]The regression equation is represented as:
[tex]\mathbf{y =bX +a}[/tex]
Where:
[tex]\mathbf{b = \frac{SP}{SS_x}}[/tex] and [tex]\mathbf{a = \bar y-b \times \bar x}[/tex]
So, we have:
[tex]\mathbf{b = \frac{-648.5714}{1679.7143}}[/tex]
[tex]\mathbf{b = -0.39}[/tex]
Also, we have:
[tex]\mathbf{a = \bar y-b \times \bar x}[/tex]
This gives:
[tex]\mathbf{a = 452.8571 - (-0.39 \times 38.4286) }[/tex]
[tex]\mathbf{a = 467.84}[/tex]
Substitute values for (b) and (a) in [tex]\mathbf{y =bX +a}[/tex]
[tex]\mathbf{y =-0.39X +467.84}[/tex]
Hence, the regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]
See attachment for the scatter plot
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There are 12 boxes of books to put on shelves. Each box has 31 books.Each shelve holds 18 books. Kevin estimates he will need 20 shelves for all the books
Answer: False. 21 Shelves.
Step-by-step explanation:
First, 12 x 31= 372
This indicates that there are 372 books.
Then, 372 ÷ 18= 20.6666666667
Since we have a decimal that is above 4 we round up.
This leaves 21 shelves needed for all the books o fit on a shelf.
Pls help, I need (c) of the problem 3-106
Answer:
Negative x minus two
Step-by-step explanation:
3 - (x + 5)
Distribute the negative sign:
3 - x - 5
Simplify:
-x - 2
In words:
Negative x minus two
Which quadratic function shows a y-intercept of 4 and a maximum value of 5
Answer:
The 4th graph
Step-by-step explanation:
To have a maximum value, your parabola would have to open downwards. So the first 2 are wrong. Since your y-intercept is positive 4, your graph would have to touch the y axis at 4. The 3rd graph is wrong since it touches the y-axis at a negative point. The correct answer would be the 4th answer choice.
What is 35 X (5 +150)=
Answer: 5425
Step-by-step explanation:
Students and adults purchased tickets for a recent Math Fun Night fundraiser. 350 tickets were sold and $2,950 was collected. Each student ticket sold for $5 and adult tickets were sold for $10 each. How many adult and student tickets were sold? Let x=_______ Let y=______. I have no idea how to solve this, maybe you can help? If so, start off with the let statements and can you send the steps along with it too?
Answer:
fun one
110 student tickets
240 adult tickets
Step-by-step explanation:
what i did is use two equations
x+y<= 350
and 5×+10y<3950
graph both on desmos or smash them together to find x and y and you get 110 student tickets and 240 adult tickets
What is the slope of the line?
Answer:
2
Step-by-step explanation:
Slope equals rise over run. use the slope formula
slope= (y2-y1)/(x2-x1)
find two points on the line. I used points (0,1) and points (1,3)
0=x1
1=y1
1=x2
3=y2
plug into the equation and you get
(3-1)/(1-0)=2
PLS HELP ILL GIVE BRAINLIEST
Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 30. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
Answer:
Kim's age is twice of that of her sister. We'll let k2 = Kim and k = Kim's sister.
So, k2. When you add Kim's age to her sister age you get 36.
Because Kim is twice the age of her sister k2. And because it said 'add' then we put a + sign. k2 + s = 36. Now let's solve it.
k2 + k = 36 < Given
3k = 36 < Combine like terms
k = 12 < Divide both sides by 3
We know Kim's sister is 12 y/o but what about Kim herself? Earlier we assigned Kim to k2. Substitute 12 for k and you get 12(2) = 24
Kim's sister is 12 y/o and Kim is 24 y/o
Step-by-step explanation:
Mark as brainliest please
Kim's age = x
Age of her sister = y
Acoording to conditions, [tex]x=2y[/tex]
The equation is,
[tex]x+y = 30 \\\\\implies 2y + y = 30\\\\\implies 3y = 30 \\\\\implies y = 10\\\\x = 2y = 2(10) = 20\\\\\text{Hence, Kim is 20 years old and her sister is 10 years old.}[/tex]
Find the total surface area of these solids
Answer:
#a
This is a cube. Let us find the surface area of the cube now
Surface are of a cube = 6 a²
= 6 × 1.2 × 1.2
= 6 × 1.44
= 8.64 cm²
# b
This is a right trianglular prism.
First you have to find the area of the 2 triangles
Before that,
we have to find the height of the triangle using pythagoras theorem.
Let us solve,
[tex]5^{2} =4^{2} +h^{2} \\25=16+h^{2} \\9 =h^{2}\\\sqrt{9} =h\\3=h[/tex]
Now let us find the area of 2 triangles.
[tex]Area =2*\frac{1}{2} *4*3\\[/tex]
[tex]Area =12mm^{2}[/tex]
Now lets find the total area of 3 rectangles.
( 7 mm × 4 mm) + ( 7 mm × 5 mm) + ( 7 mm × 3 mm )
28 mm² + 35 mm² +21 mm²
= 84 mm²
And now lets find the total surface area of this solid.
12 mm² + 84 mm²
= 96 mm²
Hope this helps you.
Let me know if you have any other questions :-)
when 1760 is divided into 14 equal parts, the remainder is 10. what is the correct way to write the quotient?
Answer:
125 R10
Step-by-step explanation:
You have to do (1760-10)/14=125
Write the equation of the line in fully simplified slope-intercept form.
Imma need a really quick answer im on a real tight clock
Answer:
Square 2 and 4? sorry im not very good at this stuff but thats my guess goodluck
Step-by-step explanation:
The ratio of dogs to cats at a local animal shelter is 13/25. Which statement must be true.
for every 13 dogs, there are 25 cats. is the answer.
3/4 + 7/8 =??????????????????
Answer:
13/8
in decimal form it is 1.625
Step-by-step explanation:
Answer:
13/8 or 1 5/8
Step-by-step explanation:
The length of a rectangle is five centimeters less than width. Find the dimensions of the
rectangle if its area is 50 cm?
Answer:
w is 10 and l is 5
Step-by-step explanation:
l=w-5
lw=50
w^2-5w-50=(w-10)(w+5) since the negative solution does not make sense w=10 and therefore l is 5 so the length is 5 while the width is 10
a= 1 2 3 4 5 is the solution of a set of the variable equation
3x=15
Answer:
3x = 15
x = 15/3
x =5
Simplify. 54+4(3/4−1/2)2
Answer:
56
Step-by-step explanation:
54 + 4(3/4 − 1/2)2
=> 54 + 4(1/4)2
=> 54 + (1)2
=> 54 + 2
=> 56
Therefore, 56 is our answer.
Hoped this helped.
Mr. Johnston spends 2/3 of every year in Florida how many months does he spend in Florida each year
Answer:
8 months
Step-by-step explanation:
12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8
-9y + 8(4z + 3y) -6x
PLZ HELP
Answer:
15y + 32z - 6x
Step-by-step explanation:
-9y + 8(4z + 3y) -6x
=> -9y + 32z + 24y - 6x
=> 15y + 32z - 6x
Hoped this helped.
June who is 45 years old, is three times older than her son, James. James is five years older than his sister Rachel. How old is Rachel?
Answer:
rachel is 10
Step-by-step explanation:
45/3=15
15-5=10
Answer : 10
Explanation : To find James you take 45 and divide by 3. To find Rachel you take 15-5=10
18= 1.57(multiply sign) X^2.2
please give me steps!!!
Answer: x = 3.030631 approximately
Explanation:
If you want to solve for x, then you could follow these steps:
[tex]18 = 1.57*x^{2.2}\\\\18/1.57 = x^{2.2}\\\\11.464968 \approx x^{2.2}\\\\x^{2.2} \approx 11.464968\\\\x \approx (11.464968)^{\frac{1}{2.2}}\\\\x \approx 3.030631\\\\[/tex]
In the second to last step, we have the value 11.464968 raised to the exponent of 1/(2.2) which is done to undo the exponent of 2.2 in the previous line. The rule used is [tex]a^b = c \to a = c^{1/b}[/tex]
expand and simplify (x+3)²
Answer:
x² + 9 + 6xStep-by-step explanation:
expand and simplify (x+3)²
(x+3)² =
x² + 9 + 2 × x × 3 =
x² + 9 + 6x
Answer:
x² + 6x + 9
Step-by-step explanation:
( x + 3 ) ²
( x + 3 ) ( x + 3 )
x ( x + 3 ) + 3 ( x + 3 )
x² + 3x + 3x + 9
x² + 6x + 9
Hope this helps you.
Let me know if you have any other questions :-)
help help help pls I have to do it
Sophie liked 35 of the 50 different flavors of Jelly Beans. Enter the percent of the Jelly Bean flavors she did not like.
What is the charge on an object that has 1. 25 * 10 ^-17.
Answer: To determine the charge on an object, determine the number of excess protons or excess electrons. Multiply the excess by the charge of an electron or the charge of a proton - 1.6 x 10-19 C.
Step-by-step explanation:
Brent leaves school to go home. He walks 10 blocks north and then 6 blocks west. If Brent could walk in a straight line to the school, what is the exact distance between Brent and the school?
:)))) NO NEED SOLUTION.
1 is the additive identity of any real number True or False
Answer:
False
Step-by-step explanation:
It is False. 1 is the identity element for multiplication, because if you multiply any number by 1, the number doesn’t change. Identity elements are specific to each operation (addition, multiplication, etc.). So while 1 is the identity element for multiplication, it is NOT the identity element for addition.
The regular hexagon has a radius of 4 in. A regular hexagon has a radius of 4 inches. What is the approximate area of the hexagon? 24 in. 2 42 in. 2 48 in. 2 84 in. 2.
The approximate area of the hexagon is 48 square inches.
Given that the regular hexagon has a radius of 4 inches, to determine what is the approximate area of the hexagon the following calculation must be performed:
Area of a regular hexagon = (perimeter x apothem) / 2 (4 x 6 x 4) / 2 = X (24 x 4) / 2 = X 48 = X
Therefore, the approximate area of the hexagon is 48 square inches.
Learn more about maths in https://brainly.com/question/18500585
the first term of an arithmetic sequence is a b and the second term is a c. What is the explicit formula to find the nth term of the sequence?
Step-by-step explanation:
every new term is created by adding a constant (I call here x) to the previous term.
a1 = b
a2 = c = a1 + x = b + x
a3 = a2 + x = a1 + 2x = b + 2x
so, we see
an = a1 + (n-1)x = b + (n-1)x
from a1 and a2 we know
c = b + x
x = c - b
so, ultimately we have
an = b + (n-1)(c-b)
The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first term of an arithmetic sequence is b and the second term is c.
a₁ = b
a₂ = c
Then the common difference is given as,
d = a₂ - a₁
d = c - b
Then the explicit formula to find the nth term of the sequence will be given as,
aₙ = b + (n - 1) × (c - b)
aₙ = b + cn - c - nb + b
aₙ = cn - nb + 2b - c
The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
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Which of the following is the estimated product of 45 and 50? no links please
Answer:
3500
Step-by-step explanation:
Hello, you need to eliminate fractions in numbers in such questions. So you have to round. If we round the number 45, we get 50. We don't need to round 50 because 50 has no fractions.
1 - 45 - - > 50
2- 50 - - > no change
3- 50 × 50 = 50² = 3500
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Pls Hurry YES I AM GIVING A BRAINLIST AND PLS BE ACCURATE
Answer:
I haven't understand this
Step-by-step explanation:
2x+y=1