The value of r² is 0.8673.
Given that x and y are two variables as listed below
We have to find r² the coefficient of determination
x y xy x² y²
3 2 6 9 4
4 4 16 16 16
5 5 25 25 25
7 6 42 49 36
10 20 200 100 400
------------------------------------------
29 37 289 199 481
Mean x = ( 29 / 5 )
Var X= ( 199 / 5 ) - 29 =10.8,
Mean Y = 7.4, Var Y = ( 481/5 ) - 37 = 96.2 - 37 = 59.2
Now,
r = { n(∑xy ) - (∑x)(∑y) } / √ { n( ∑x²) - (∑x )² ) × [ n(∑y²) - (∑y)² ] }
r = { 5 × 289 - 29 × 37 } / √ { ( 5 ( 199 ) - (29)² ) × [ 5( 481 - ( 37 )² ] }
r = { 1445 - 1073 } / √ { ( 995 - 841 ) × [ 2405 - 1369 ] }
r = 372 / √ { ( 154 ) × [ 1036 ] }
Therefore,
r² = ( 372 )² / ( 154 ) × [ 1036 ]
r² = 0.8673
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8x^2-25x+3 show work
Answer:
look for the factors for the expression
8x^2-x-24x+3
x(8x-1)-3(8x-1)
(8x-1)(x-3)
Write an equation in terms of x that represents the given statement. Solve the problem.
Negative three times the difference of 5 and a number is -48. Find the number.
(Step-step pls)
Compare and order the numbers below
,,.,.⎯⎯,⎯⎯⎯⎯√
The given numbers ordered from least to greatest is {√7 , 2.8..., π, √17, 4.6}
How to order the numbers from least to greatest?First, we need to write all the given numbers in decimal form so we can accurately compare them.
The numbers are:
{4.6, √7, π, 2.8..., √17}
Rewriting all of these in decimal form:
√7 = 2.64
π = 3.14159265....
√17 = 4.12
Then the numbers are:
{4.6, 2.64, 3.14159265...., 2.8..., 4.12}
Now is easier to order these numbers, ordering them from least to greatest we will get:
{2.64, 2.8..., 3.14159265...., 4.12, 4.6}
Now, using the original notation we get:
{√7 , 2.8..., π, √17, 4.6}
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Carrie ran 76 miles a month for 11 months. During
the twelfth month, she ran 121 miles. How many
total miles did Carrie run?
Answer:
957
Step-by-step explanation:
76x11=836
836+121=957
I need help with this question I dropped a picture down below
< CEH and < HEB are complementary angles and < CEH = 70 degrees
< AEH and < HEB are supplementary angles and < AEH = 160 degrees
How to find < CEH and < AEHGiven data
line AB and line EC are perpendicular
< HEB = 20 degrees
< CEH and < HEB
< CEH and < HEB are complementary angles that is to say adding them together gives 90 degrees.
< CEH + < HEB = 90
< CEH = 90 - 20
< CEH = 70 degrees
< AEH and < HEB
< AEH and < HEB are supplementary angles that is to say adding them together gives 180 degrees.
< AEH + < HEB = 180
< AEH = 180 - 20
< AEH = 160 degrees
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C. How do i solve the inequality involving absolute value for |x +9| ≥ −6?
Answer:
The values of x for the inequality |x +9| ≥ −6 are x = -3, -15.
Step-by-step explanation:
An equation of inequality is given that is |x +9| ≥ −6 that is to be solved for x.
Firstly let us understand what is an inequality;
In mathematics, inequalities specify the connection between two non-equal numbers. To be unequal is to be unequal.
Now, let us consider the given inequality;
=> |x +9| ≥ −6
Let us take this equation this way to solve which is the negative value of terms of the bar;
=> -(x + 9) = −6
=> -x = -6 + 9
=> x = -3
Now, Let us take this equation this way to solve which is the positive value of terms of the bar;
=> x + 9 = −6
=> x = -6 - 9
=> x = -15
Therefore, the values of x for the inequality |x +9| ≥ −6 are x = -3, -15.
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The midpoint of UV is point W. What are the coordinates of point V?
(–6, –14)
(2, –23)
From the image that we have here the coordinates of the point V is given to be (2, –23)
How to find the coordinates of the point VThe diagram gives us these values
U(-8 , 9)
w(-3, - 7)
Then we would have
- 8 + x = - 3 x2
-8 + x = -6
then x = -6 + 8
x = 2
9 + y = -7 x 2
9 + y = -14
y = -14 - 9
y = - 23
Hence the points would be V(2, -23)
the coordinates of point V are (2, -23)
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The value of a stock increased 1 3/4 on Monday morning. On Monday afternoon the value of the stock decreased 1 1/3 points. On Tuesday morning the value increased 1 1/8 points what is the overall change in the stocks value
The overall change in the stock's value is [tex]1\frac{13}{24}[/tex].
What is the overall change in the stock's value?A mixed fraction is a non-integer that is made up of a whole number, numerator and a denominator. An example of a mixed fraction is 1 3/4. 1 is the whole number, 3 is the numerator and 4 is the denominator.
An increase in the stock value would be represented with an addition sign whole a decrease in the stock value would be represented with a negative sign. This means that increases in stock value would be added and decreases in stock value would be subtracted.
The overall change in the stock value = increase in stock on Monday morning - decrease in stock value on Monday afternoon + increase in stock value on Tuesday morning
The overall change in the stock value :
[tex]1\frac{3}{4} - 1\frac{1}{3} + 1\frac{1}{8}[/tex]
[tex]1\frac{18 - 8 + 3}{24}[/tex] = [tex]1\frac{13}{24}[/tex]
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Hello Can Someone Please Answer These Math Questions for Me
Find x: 32 ^ x * 16 ^ (- 2x) = 4 * 2 ^ (- 5x)
find a so that the point (-1,4) is on the graph of f(x)=ax^2+3
Find the area of each sector. Round your answers to the nearest tenth.
*
The area of the sector is 88.4 in² to the nearest tenth
Calculating Area of a sectorFrom the question, we are to calculate the area of the sector in the given circle
Area of a circle is given by the formula,
A = θ/360° × πr²
Where θ is the angle subtended
and r is the radius
From the given diagram,
θ = 45°
r = 15 in
Thus,
Area of the sector = 45°/360° × π × 15²
Area of the sector = 1/8 × π × 225
Area of the sector = 28.125π
Area of the sector = 88.4 in²
Hence, the area of the sector is 88.4 in² to the nearest tenth
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I'm really confused on how I'm only getting 4 / 5. Can someone help me?
The total pay for last week that Nelly earned was £180
How to determine the amount
From the information given, we have that;
For Monday - Friday
£8 is paid per hour for the first 15 hours£10 per hour for an extra hoursFor Saturday
Double the normal rate of £8 per hour
The total hour She worked from Monday to Friday is;
= 3. 5 + 5 + 2.5 + 4 + 2
= 17 hours
From Monday to Friday
£8 × 15 = £120
£10 × 2 = £20
For Saturday
£8 × 2 = £16
£8 × 5 = £40
Total amount = £120 + £20 + £40
Total amount = £180
Thus, the total pay for last week that Nelly earned was £180
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cuantos minutos son 1/4 de hora
solucion
Answer:
Por lo tanto, un cuarto de hora es igual a 15 minutos.
1/4 de hora = (1/4)*(1 hora) = (1/4)*(60 minutos) = 15 minutos
Determine if T is the midpoint of MB.
Check the picture below.
[tex]\stackrel{MT}{(8x-11)} +\stackrel{BT}{(11x-1)}~~ = ~~\stackrel{MB}{12x+44}\implies 19x-12=12x+44 \\\\\\ 7x-12=44\implies 7x=56\implies x=\cfrac{56}{7}\implies \boxed{x=8} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{MT}{8(8)-11}\implies 53\hspace{5em}\stackrel{BT}{11(8)-1}\implies 87~\hfill \stackrel{\textit{\large T is not the midpoint}}{MT\ne BT}[/tex]
Convert 1.5 qt to ml
Answer:
1.5 qt equals to 1419.529
Step-by-step explanation:
For an approximate outcome, multiply the volume value by 946.4
Two friends drive off in different directions from the same place. One heads North at 45 miles per hour, while the other heads East at 35 miles per hour.
Complete an equation for the distance between the friends after t hours. Hint: Assume the starting point is the origin.
Distance =
The equation that represents the distance, d, between the friends after t hours is d = √(3250t²)
Calculating distance
From the question, we are to write an equation for the distance between the friends after t hours
From the given information,
"One heads North at 45 miles per hour, while the other heads East at 35 miles per hour"
First, we will calculate the distance each of them has traveled after t hours
Using the formula,
Distance = Speed × Time
Distance covered by the friend that heads North is
Distance = 45 × t
Distance = 45t
Distance covered by the friend that heads East is
Distance = 35 × t
Distance = 35t
Now, for the distance, d, between the two friends after t hours
Using the Pythagorean theorem, we can write that
d² = (45t)² + (35t)²
d² = 2025t² + 1225t²
d² = 3250t²
d = √(3250t²)
Hence, the equation that represents the distance, d, between the friends after t hours is d = √(3250t²)
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The boxplot shown below results from the heights (cm) of males listed in a data set. What do the numbers in that
K boxplot tell us?
156
168.1
173.7
The minimum height is
third quartile Q3 is
(Type integers or decimals. Do not round.)
181.4
cm, the first quartile Q, is
cm, and the maximum height is
192
cm, the second quartile Q₂ (or the median) is
cm.
cm, the
From the given box plot, it is found that:
The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.
What does a box-and-whisker plot shows?A box and whisker plot shows five things:
The minimum value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum value.The measures are shown in order, from left to right, hence:
The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.
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A shipping box has to have specific dimensions to hold an item. The volume must be 10240 cubic inches. The height must be `1/5` of the length and `1/4` of the the width. Give the dimensions of the box below. Give your answers as whole numbers or decimals rounded to 1 decimal place.
The dimensions of the box is a height of 8 inches, width of 32 inches and length of 40 inches.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the shipping box. Hence:
h = (1/5) * length
Length = 5h
h = (1/4) * width
Width = 4h
Volume of the box = height * width * length = h * 5h * 4h
Width = 4h
h = 8 in
Length = 5(8) = 40 in
Width = 4(8) = 32 in
The dimensions of the box is a height of 8 inches, width of 32 inches and length of 40 inches.
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annex zeros if needed to write remainders as decimals 5.3 ÷ 0.2
Answer:
26.5
Step-by-step explanation:
4/N = 4/5 a. N=5 B. N=5/16 c. N=3 1/5 d. N=50 please select the best answer from the choices provided
Answer:
The answer A) n=5
Step-by-step explanation:
Find the least common multiple.
The left denominator is "N"
The right denominator is "5"
That's how you get the answer N=5
Answer:
Answer a. n=5
Step-by-step explanation:
it really be the answer
Which list shows the rectangles in order from shortest to longest?
*sry ik there was alot but this is the last one*
Answer:
C
Step-by-step explanation:
Sqrt of 36.5 is roughly 6.0
34/5 is 6.8
A box is shaped like a rectangular prism. The length is 114 ft, the width is 8 in., and the height is 10 in. Find the surface area of the box in square inches. What is the SA?
Based on the calculations, the surface area of this rectangular prism is equal to 49,408 square inches.
Given the following data:
Length of this rectangular prism = 114 feet.Width of this rectangular prism = 8 inches.Height of this rectangular prism = 10 inches.What is an equation?An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
How to calculate the surface area of a rectangular prism?Mathematically, the surface area of a rectangular prism can be calculated by using this equation or formula:
SA = 2(WH + LW + LH)
Where:
SA represents the surface area of a rectangular prism.L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.Conversion:
1 feet = 12 inches
114 feet = L inches
Cross-multiplying, we have:
L = 12 × 114
L = 1,368 inches.
Substituting the given parameters into the formula, we have;
SA = 2(8 × 10 + 1,368 × 8 + 1,368 × 10)
SA = 2(80 + 10,944 + 13,680)
SA = 2(24,704)
SA = 49,408 square inches.
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Write the improper fraction
31
7
as a mixed number
Answer: 4 3/7
Step-by-step explanation:
try finding the biggest value u can get to and divide it. for ex : 31 divied by 7 = 28 divided by 7 plus remainder 3/7
The area of Square A is 121 square inches. The length of each side of Square B is 2 inches longer than the length of each side of Square A. How much greater is the area of Square B than the area of Square A? Show your work.
The area of the square B is a 169 and increase in the area w.r.t to the square A is 48.
According to the statement,We have to find that the Area of the square B.
So, For this purpose, we know that the
The Area is defined because the total space concerned by a flat (2-D) surface or shape of an object.
From the given information:
The area of Square A is 121 square inches. The length of every side of Square B is 2 inches longer than the length of every side of Square A.
Then
We know that the realm of the square is a^2
Then
Given area of the square = 121.
Area = [tex]A^2[/tex]
121 = [tex]A^2[/tex]
[tex]A = \sqrt{121}[/tex]
A = 11.
The side of the square a is 11.
And The side of the square B = 11+2
The side of the square B = 13
The Area of the square B = Side * Side
Area of the square B = 13* 13
Area of the square B = 169.
Now, Increase in the area = 169 -121
Increase in the area = 48.
So, The area of the square B is a 169 and increase in the area w.r.t to the square A is 48.
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What is the name of the line of reflection for the pair of figures?
Enter your answer in the box.
line
Line m, because if a mirror is placed on m, only one image will be truly reflected.
What is termed as the line of reflection?A line of reflection is a line that divides a figure into two halves that are similar or identical.A line of reflection, in other words, is a line that divides a figure in to other two mirror images of a figure.In mathematics, a line of reflection is a line along which each point in a shape appears at an equal distance just on opposite side.
As a result of this, we can conclude that
The line 'm' represents the reflection line.
The line 'p' represents the symmetry line.
The line 'n' represents the asymmetry line.
Therefore, line m is the line of reflection for the given figure.
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Aaliyah volunteers at her town's animal shelter. Every day, she puts out 10 ounces of food for each of the 8 dogs. If dog food comes in 25-pound bags, how many days will one bag of dog food last?
Based on the amount of food that the dogs eat per day, a 25- pound bag would last the dogs for 40 days
How to find the number of days?First, find the number of ounces in a 25 pound bag:
= 25 pounds x 16 ounces per pound
= 400 ounces
If 10 ounces of dog food last a day, how many days will the 25-pound bag last:
= Number of ounces of dog food in the bad / Number of ounces of dog food per day
= 400 / 10
= 40 days
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What are the square roots of 6,400?
which description represents the equation 99/9 = 11?
A: the product of 9 and 99 is 11.
B: the product of 9 and 11 is 99.
C: the quotient of 99 and 9 is 11.
D: the quotient of 99 and 11 is 9
Answer:
C
Step-by-step explanation:
Quotient is the result... Therfore 99 divided by 11 is 9
I WOULD APPRECIATE IT IF SOMEONE HELPED ME UNDERSTAND ADDITION AND SCALAR MULTIPLICATION OF MATRICES ALONG WITH THE ANSWER TO THIS THANK YOU
Step-by-step explanation:
scalar multiplication is simply done by multiplying every term of the matrix by the factor.
-1/5 A =
-5×-1/5 -15×-1/5 10×-1/5
-30×-1/5 20×-1/5 -25×-1/5
=
1 3 -2
6 -4 5
for the addition of 2 matrices imagine that each one is on a transparent slide, and you simply move both slides on top of each other, and you add all numbers for a position, that overlap each other for that position.
so,
-1/5 × A + B =
1+4 3+5 -2+ -7
6+7 -4+0 5+ -5
=
5 8 -9
13 -4 0