Answer: The answer is 87. when you look at the picture each number is one number apart from each other like look at
86, 87, 88, 89, 90, 91
85 + 1 = 86
86 + 1 = 87
87 + 1 = 88
89 + 1 = 90
90 + 1 = 91
Step-by-step explanation:
Find the power series representation for g centered at 0 by differentiating or integrating the power series for f (perhaps more than once). give the interval of convergence for the resulting series
The power series is
g(x) = -2x - (2x)2/2 - (2x)3/3 -(2x)4/4 -.......-(2x)n/n - .....
To deduce the power series of g(x) from the power series for f(x) and identify its radius of convergence
The power series for f(x) is just the geometric series derived from 1/1-y ,setting y=2x.
Its radius of convergence is 0.5
Let,
f(x)= 1/1-2x = 1+ (2x) + (2x)2 + .........+(2x)n......+....
The power series expansion (geometric series),
valid for I2xI < 1 , IxI < 0.5
so, radius of convergence = 0.5
The power series for g(x) is found by integrating term by term the power series of f(x) (upto a constant). The radius of converngence of g(d) is the same as that of f(x) (from general theory) =0.5
Now, g(x) = ln(1-2x)
= -2 [tex]\int\limits^a_b {(1/1-2x)} \, dx = -2 \int\limits^a_b {f(x)} \, dx[/tex]
=-2 [tex]\int\limits^a_b {[1+(2x)+ (2x)2 +........+ (2x)n+.......]} \, dx[/tex]
g(x) = -2x - (2x)2/2 - (2x)3/3 -(2x)4/4 -.......-(2x)n/n - .....
is the power series expansion for g(x).
radius of convergence =0.5
For more information about power series, visit
https://brainly.com/question/17225810
#SPJ4
When a detailed scoring guide and rubric is used to score open-ended questions, the result is?
When a detailed scoring guide or rubric is used to score open-ended questions, the result is scored.
The scoring guide assign points to special degrees of student performance. Instructors use them when a scholar's response can earn a number of the full possible factors, commonly for built-reaction items and performance responsibilities.
Rubrics and scoring guides were implemented into cutting-edge classrooms to offer college students higher know-how of what's being assessed, what standards grades are primarily based upon, and what clean and compelling product standards are addressed.
Even as scoring guides illustrate how college students can earn a certain amount of points for precise questions and responses, rubrics assign ratings primarily based on how well a pupil's reaction meets a degree of overall performance.
Learn more about the scoring guide here https://brainly.com/question/14432849
#SPJ4
4. Emily’s house has a chimney. What is the volume of her chimney? 4 in 9 in 12 in 3 in 4 in 6 in
Using the volume for rectangular prisms, the volume of the chimney is: 216 in.³.
What is the Volume of a Rectangular Prism?The volume of a rectangular prism = (length)(width)(height).
How to Find the Volume of Composite Shapes?The Chimney in Emily's house is a composite solid consisting of two rectangular prism. To find the volume, we have to decompose the figure into two rectangular prisms. Then solve for the volume of each before finding the total volume.
Volume of the bigger rectangular prism = (length)(width)(height) = (4)(4)(12)
Volume of the bigger rectangular prism = 192 in.³
Volume of the smaller rectangular prism = (length)(width)(height) = (4)(2)(3)
Volume of the smaller rectangular prism = 24 in.³
The volume of the chimney = volume of the two rectangular prism
The volume of the chimney = 192 + 24
The volume of the chimney = 216 in.³
Learn more about the volume of rectangular prism on:
https://brainly.com/question/12917973
#SPJ1
The probability of winning on an arcade game is 0. 659. if you play the arcade game 30 times, what is the probability of winning exactly 21 times? round your answer to two decimal places
The probability of winning exactly 21 times is:-0.32
Given,
The probability of winning on an arcade game, p = 0.659
Number of times you play arcade game, n = 30
By assuming this as a normal distribution, we get
Mean=μ=30×0.659 =19.77
Standard deviation, σ = [tex]\sqrt{np(1-p)}[/tex]
= [tex]\sqrt{30(0.659)(1-0.659)}[/tex]
≈ 2.60
Let X be a binomial variable
Then, the z score for x = 21 will be:
z = (x - μ) / σ = [tex]\frac{21-19.77}{2.60}[/tex]
≈ 0.47
Now, the probability of winning exactly 21 times
P (x ≥ z) = P (21 ≥ 0.47) = 0.32
Hence the probability of winning exactly 21 times is 0.32
Learn more about probability here:-https://brainly.com/question/13067945
#SPJ4
Uan zhang bought a 10-year bond that pays 8. 25 percent semiannually for $911. 10. what is the yield to maturity on this bond? (roundyour percentage answer to two decimal places. )
The yield to maturity on this bond according to the trial-and-error approach is 9.66 percent.
According to the statement
we have given that the Uan zhang bought a 10-year bond that pays 8. 25 percent interest per 6 months.
And we have to find that the yield to maturity on this bond.
So, For this purpose,
The amount given is $911. 10.
Years to maturity = n = 10
Coupon rate = C = 8.25%
Semiannual coupon = $1,000 × (0.0825/2) = $41.25
Yield to maturity = i
Present value of bond = PB = $911.10
Use the trial-and-error approach to solve for YTM. Since the bond is selling at a discount, we know that the yield to maturity is higher than the coupon rate.
Try YTM = 9.4%:
= $522.90 + 391.54 ≅ $914.43
The YTM is approximately 9.66 percent. Using a financial calculator provided an exact YTM of 9.656 percent (2 × 4.828%).
So, The yield to maturity on this bond according to the trial-and-error approach is 9.66 percent.
Learn more about percentage here
https://brainly.com/question/11360390
#SPJ4
helpp assignment due at 3:40
Question 17: B. A’ (1,2), B’ (3,2), C’ (3,5)
Translating 4 to the right means that you should add 4 to the x value of your coordinate point.
Question 18: C. (3,-5)
This is because reflecting over the x-axis would mean to move down the same amount of units above the x-axis the original point is (the original point is five units above the x-axis so you just move down five units). Look at the attached picture for more help.
Question 19: A. C’ (0,-2)
We can see that the triangle has been translated 1 unit to the right and 2 units up. This would mean you add 1 to the x-value of the coordinate and add 2 to the y-value of the coordinate. I can’t see point C clearly, but I’m guessing that it’s at (-1,-4). This would give point C’ as (0,-2)
Hope this helps! Let me know if you need more help! Have a fantastic day!
The length of the tile be it is about 3 pounds 16228 inches which mark on the tape measure is the closest to tree Park 16228 inches remember them to Major Mark in Sixt and inches
The mark on the tape measure that is closest to 3.16228 is 3.1875
How to determine the closest measure?The measurement is given as:
Length = 3.16228
The tape measure is marked in sixteenths of an inch i.e 1/16 or 0.0625
So, we have the following range:
0.0625, 0.125, 0.1875, 0.25,.....
Rewrite the range as follows:
3.0625, 3.125, 3.1875, 3.25,.....
The length 3.1622 is between 3.125 and 3.1875.
The difference between the measurement and the range is
3.16228 - 3.125 = 0.03728
3.1875 - 3.16228 = 0.02522
0.02522 is smaller than 0.03728
Hence, the mark on the tape measure that is closest to 3.16228 is 3.1875
Read more about metric units at:
https://brainly.com/question/1282227
#SPJ1
Complete question
The length of tile B 3.16228 is about inches. Which mark on the tape measure is closest to 3.16228 inches? Remember, the tape measure is marked in sixteenths of an inch.
Amelia has a job baby-sitting for a neighbor. she is paid $20 plus $2.50 for each hour on the job. if amelia wants to earn $40 to buy a new sweater, how many hours would she need to work? a. 16 hours b. 9 hours c. 10 hours d. 8 hours please select the best answer from the choices provided a b c d
The correct option is option (d) 8 hours.
Amelia need to work for 8 hours to buy new sweater $40.
What is an equation and its solution?When two expressions are connected with the equals sign (=) in a math equation, it expresses the equality of the two expressions. A number that may be entered for the variable to produce a true number statement is the solution to an equation.
Let the hours Amelia need to work=h
Amalia paid=$20
Payment of each hour=$2.50
So, we can make an equation with given problem
40=20+2.50h
40-20=2.5h
20=2.5h
[tex]h=\frac{20}{2.5}[/tex]
h= 8
So, Amelia need to work for 8 hours to get $40.
To know more about equation, visit: https://brainly.com/question/14603452
#SPJ4
How long is the arc intersected by a central angle of startfraction pi over 2 endfraction radians in a circle with a radius of 4.5 cm? round your answer to the nearest tenth. use 3.14 for pi.
7.1 cm long is the arc intersected by a central angle .
What is length of an arc?
The arc length of a circle can be calculated with the radius and central angle using the arc length formula. Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.Given,
Central angle = π / 2
radius = 4.5 cm
we apply formula of length of arc.
length of the arc = angle × radius
= (π/2) × (4.5 cm)
Now put value of π = 3.14
length of the arc = (3.14 / 2) × (4.5) cm
= 7.065 cm ≈ 7.1 cm
Therefore, 7.1 cm long is the arc intersected by a central angle .
Learn more about length of an arc
brainly.com/question/16991078
#SPJ4
Kathy needs money for her trip to Europe. If she has $300$ US dollars in the bank but wants to withdraw half of it in British pounds and half of it in euros, how many more euros than pounds will she have
Kathy has 22 more Euros than British pounds.
Linear equation is an algebraic equation that is a representation of the straight line. Linear equations are composed of variables and constants. These equations are of first-order, that is, the highest power of any of the involved variables i.e. 1. It can also be considered as a polynomial of degree 1. Linear equations containing only one variable are called homogeneous equations. The corresponding variable is called the homogeneous variables.
For instance,
x + 2y = 3 is a linear equation in two variables.x + y + z = 8 is in three variables.x + y2 = 1 is not a linear equation because the highest power of y is 2.300 / 2 = 150 dollars.
150 /1.64 = 91.46 British pounds
150 /1.32 =113.64 Euros
113.64 - 91.46 =22.18 ≅ 22
Thus Kathy has 22 more Euros than British pounds.
Learn more about Linear equation here :
https://brainly.com/question/12974594
#SPJ1
The functions f(x) and g(x) are graphed.
f(x)
324
2
-6-5-4-3-2-1₁.
297 49
-2+
-3
-4
g(x)
1 2 3 4 5 6 x
Which represents where f(x) = g(x)?
Of(0) = g(0) and f(2)= g(2)
Of(2)= g(0) and f(0) = g(4)
Of(2)= g(0) and f(4) = g(2)
Of(2)= g(4) and f(1) = g(1)
Answer: Option 1
Step-by-step explanation:
The graphs intersect at x=0 and x=2.
The answer that represents the point where f(x) = g(x) is; A: f(2) = g(2) and f(0) = g(0)
What are functions?A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.
Given is a graph we need to find the point of intersection where f(x) = g(x)
How to find the coordinates of Intersection :-
From the attached graph, we see that is represents the relationship between the functions f(x) and g(x).
Now, the coordinates of the points where f(x) = g(x) will be the coordinates of the points where both graphs intersect.
The first point of intersection, we see that;
f(0) = g(0) = 4
Second point shows;
f(2) = g(2) = 0
Thus, we can conclude that;
f(2) = g(2) and f(0) = g(0)
Hence, the answer that represents the point where f(x) = g(x) is; A: f(2) = g(2) and f(0) = g(0)
Read more about functions at; brainly.com/question/30721594
#SPJ5
neeed help please pleasee
Answer:
Y = 2+- square root of 6
Step-by-step explanation:
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Lets solve ~
Let's calculate its discriminant ~
[tex]\qquad \sf \dashrightarrow \: {y}^{2} -4y - 2=0[/tex]
a = 1b = -4c = -2[tex]\qquad \sf \dashrightarrow \: discriminant = {b}^{2} - 4ac[/tex]
[tex]\qquad \sf \dashrightarrow \: d = (-4) {}^{2} - (4 \times 1\times - 2)[/tex]
[tex]\qquad \sf \dashrightarrow \: d = 16 - ( - 8)[/tex]
[tex]\qquad \sf \dashrightarrow \: d = 24[/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt {d }= 2 \sqrt{6} [/tex]
So, by quadratic formula :
[tex]\qquad \sf \dashrightarrow \: y= \dfrac{ - {b}^{} \pm \sqrt{d} }{2a} [/tex]
[tex]\qquad \sf \dashrightarrow \: y = \dfrac{ - {(-4)}^{} \pm 2\sqrt{6} }{2 ×1} [/tex]
[tex]\qquad \sf \dashrightarrow \: \:y=\pm \cfrac{2(2\pm\sqrt{6} }{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \:y= { 2+\sqrt{6}}{} \: \: and \: \: t = {2-\sqrt{6}}{} [/tex]
201
5. One flight took a total of 4.6 hours. Write this number as a mixed number
and as an improper fraction. Show your work in the space below. Remember
to check your solution.
The improper fraction is 25 / 6 hours
The mixed fraction is [tex]4\frac{1}{6}[/tex] hours.
What is the mixed fraction and the improper fraction?The time is written as a decimal. A decimal is a number that is made up of integers and non-integers. The integers are separated from the non-integers by a decimal point.
A mixed number is a fraction that is made up of a whole number and a proper fraction. A proper fraction is a fraction whose numerator is less than the denominator. An improper fraction is a fraction whose numerator is greater than the denominator.
In order to convert 4.6 hours to a mixed fraction, the proper fraction has to be determined. To determine this value, multiply 0.6 by the minutes in an hour
0.6 x 60 minutes = 10 minutes
The decimal becomes : [tex]4\frac{10}{60}[/tex] hours
[tex]4\frac{1}{6}[/tex] hours
To convert the mixed fraction to an improper fraction, multiply the denominator by the whole number and add the numerator, then divide by the denominator
The improper fraction is : 25 / 6 hours
To learn more about decimals, please check: https://brainly.com/question/15287678
#SPJ1
Find the net outward flux of f=a×r across any smooth closed surface in r3, where a is a constant nonzero vector and r=〈x,y,z〉
Flux is zero since asked in [tex]\pi[/tex] is [tex]0\pi[/tex].
Flux is the presence of a pressure field in a detailed physical medium or the glide of electricity through a surface. In electronics, the term applies to any electrostatic field and any magnetic subject. Flux is depicted as "traces" in a plane that contains or intersects electric powered fee poles or magnetic poles.
The definition of flux is a flow of liquid from the body, or a regular movement or exchange. An instance of flux is diarrhea. An example of flux is an ever-converting list of the responsibilities of a particular process. regular or frequent alternate; fluctuation.
Flux is a go-platform computer program that adjusts a show's color temperature in keeping with vicinity and time of day, offering practical respite for the eyes. the program is designed to reduce eye stress at some stage in night-time use, supporting reducing the disruption of sleep patterns.
Our field is IR^3 be,
F= (bz-cy,cx-az,ay-bx)
Now divergence theorem says that Flux can be calculated by
[tex]\int\limits^ {} \, F.n = \int\limits^ {} \,( c.F) dv[/tex]
Now let's calculate the divergence of a vector field
F = (ia/ax + ja/ay + k*a/az)*((bz-cy)i+((x-dz))+(ay-bx)*k)
a/ax(bz-cy)+a/ay(cx-az)+a/az(ay-bx)
= 0+0+0
=0
Flux is zero since asked in [tex]\pi[/tex] is [tex]0\pi[/tex].
Learn more about Flux here https://brainly.com/question/26289097
#SPJ4
Determine the qualities of the given set. (select all that apply. ) (x, y)| 9 < x2 y2 < 25
The question given is incomplete. Completed question is given below the answer.
The set, {(x, y)|9<x2+y2<25} is open and connected.
The following set, {(x, y)|9<x2+y2<25} is:
A. is open (all points of the set are interior)
B. is connected (since it can not be divided into parts)
C. it is not simply connected (it has holes)
D. False, according to the previous answers
Open Set:
In mathematical terms, a set is said to be open if all its points are interior.
That is to say, no point that belongs to the border of the set or is isolated belongs to the set.
Determine the qualities of the given set. (Select all that apply.)
{(x, y)|9<x2+y2<25}
A. open
B. connected
C. simply connected
D. none of the above
Learn more about the set here: https://brainly.com/question/13083490
#SPJ4
1. {26, 69, 30, 27, 19, 54, 27}
Mean:
, Median:
, Mode:
, Range:
Answer:
Mean:36
Median:27
Mode:27
Range:50
Step-by-step explanation:
Mean: 19+26+27+27+30+53+69/7=36
Median: The middle number in the sequence when arranged in ascending order which is 27
Mode: The number that appeared more than others which is 27
Range: This is the difference between the largest number and the lowest number in the sequence which is 50.
IF THIS HELPS PLEASE MARK ME AS BRAINLIEST
Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x + 1, y = 0, x = 0, x = 2; about the x-axis
The volume of a solid is [tex]\frac{26}{3} \pi[/tex].
Given
The given curves about the specified line. y = x + 1, y = 0, x = 0, x = 2; about the x-axis
Curve is y = x + 1
Line is y = 0
We have to find out the volume v of the solid obtained by rotating the region bounded by these curves.
If the region bounded above by the graph of f, below by the x-axis, and on the sides by x=a and x=b is revolved about the x-axis, the volume V of the generated solid is given by [tex]V = \pi \int\limits^b_a {(f(x))^{2} } \, dx[/tex]. We can also obtain solids by revolving curves about the y-axis.
Volume of a solid:
According to washer method:
[tex]V = \pi \int\limits^b_a {(f(x))^{2} } \, dx[/tex]
Using washer method, where a=0 and b=2, we get
V = [tex]\pi \int\limits^2_0 {(x+1)^{2} } \, dx[/tex]
= [tex]\pi[ \frac{(x+1)^{3} }{3} ]0 \ to \ 2[/tex]
= [tex]\pi [\frac{(3+1)^{3} }{3} -\frac{(0+1)^{3} }{3}][/tex]
= [tex]\pi [\frac{27}{3} -\frac{1}{3} ][/tex]
= [tex]\pi [\frac{26}{3}][/tex]
= [tex]\frac{26}{3} \pi[/tex]
Therefore the volume of a solid is [tex]\frac{26}{3} \pi[/tex].
Find out more information about volume of a solid here
https://brainly.com/question/12894092
#SPJ4
please help me with this question
Answer:
3,500 people
Step-by-step explanation:
10% of 35,000 is the same as .10 × 35,000, or 3,500.
If the lengths of the legs of a right triangle are 3 and 10−−√, what is the length of the hypotenuse?
The required length of the hypotenuse of the triangle is √19.
What is a right triangle?A right triangle, sometimes known as a right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle or two perpendicular sides.To find the required length of the hypotenuse of the triangle:
Legs in the right triangle refer to the perpendicular and base.
Hypotenuse:
[tex]= \sqrt{perpendicular^{2}+base^{2} } \\= \sqrt{3^{2}+\sqrt{10^{2} } } \\=\sqrt{19}[/tex]
Therefore, the required length of the hypotenuse of the triangle is √19.
Know more about right triangles here:
https://brainly.com/question/2437195
#SPJ4
Find the absolute maximum and minimum values of the function, subject to the given constraints. g(x,y)=9x2 6y2; −1≤x≤1 and −1≤y≤7
For function g(x, y) = 9x² + 6y²,
the absolute minimum is 15 and the absolute maximum is 303
For given question,
We have been given a function g(x, y) = 9x² + 6y² subject to the constraint −1≤x≤1 and −1≤y≤7
We need to find the absolute maximum and minimum values of the function.
First we find the partial derivative of function g(x, y) with respect to x.
⇒ [tex]g_x=18x[/tex]
Now, we find the partial derivative of function g(x, y) with respect to x.
⇒ [tex]g_y=12y[/tex]
To find the critical point:
consider [tex]g_x=0[/tex] and [tex]g_y=0[/tex]
⇒ 18x = 0 and 12y = 0
⇒ x = 0 and y = 0
This means, the critical point of function is (0, 0)
We have been given constraints −1 ≤ x ≤ 1 and −1 ≤ y ≤7
Consider g(-1, -1)
⇒ g(-1, -1) = 9(-1)² + 6(-1)²
⇒ g(-1, -1) = 9 + 6
⇒ g(-1, -1) = 15
And g(1, 7)
⇒ g(1, 7) = 9(1)² + 6(7)²
⇒ g(1, 7) = 9 + 294
⇒ g(1, 7) = 303
Therefore, for function g(x, y) = 9x² + 6y²,
the absolute minimum is 15 and the absolute maximum is 303
Learn more about the absolute maximum and absolute minimum values of the function here:
https://brainly.com/question/16270755
#SPJ4
The population of a town in 2007 is 113, 505
and is increasing at a rate of 1.2% per year.
What will the population be in 2012?
What number will you fill in for a to solve the
equation?
(Hint: For this one, how many years
after 2007 is 2012?
from 2007 to 2012 is only 5 years, so we can see this as a compound interest with a rate of 1.2% per annum for 5 years, so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$113505\\ r=rate\to 1.2\%\to \frac{1.2}{100}\dotfill &0.012\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=113505\left(1+\frac{0.012}{1}\right)^{1\cdot 5}\implies A=113505(1.012)^5\implies A\approx 120481[/tex]
What is the height of a rectangular prism with a volume of 80 cubic feet and a base area of 25 square feet?
Volume=80cubic feet
Length×Width×Height =80cubic feet
Base area×Height =80cubic feet
25square feet×Height =80cubic feet
Height =80÷25
=3.2feet
The height of the rectangular prism is 3.2 feet.
To determine the height of a rectangular prism with a volume of 80 cubic feet and a base area of 25 square feet,
The volume of a rectangular prism, that is V = lwh, where l is the length, w is the width, and h is the height of the prism.
Given:
Volume (V) = 80 cubic feet
Base area (A) = 25 square feet
We know that the base area is equal to the product of the length and width:
A = lw.
Calculate the length (l) and width (w) from the given base area:
We know that A = lw, and A = 25 square feet.
If we assume the length to be greater than the width, we can express the base area as lw = 25.
We need to find two factors of 25 that have a difference as small as possible. The factors of 25 are 1, 5, and 25.
We can choose l = 5 feet and w = 5 feet.
V = lwh.
80 = 5 * 5 * h
Divide both sides of the equation by 25:
80/25 = h.
h = 16/5 = 3.2 feet.
Therefore, the height of the rectangular prism is 3.2 feet.
Learn more about a rectangular prism;
https://brainly.com/question/21308574
#SPJ3
5. (04.03 LC) Given a polynomial f(x), if (x + 5) is a factor, what else must be true? (6 points) O f(0) = 5 Of(0) = -5 O f(5) = 0 f(-5) = 0 6. (04.04 LC)
If (x+5) is a factor of f(x) then the condition that will be true is f(-5)=0.
Given that (x+5) is a factor the polynomial f(x) and we are required to be the condition that will be true.
Polynomial is combination of algebraic terms may be in addition, subtraction, multiplication and division. If the highest power of variable in polynomial is one then it is said to be monomial ,If the highest power of variable in polynomial is two then it is said to be binomial,If the highest power of variable in polynomial is three then it is said to be trinomial and many more polynomials.
Factors are the numbers which when multiplied gives the number whose factors they are.
It is given that (x+5) is a factor of f(x).
Put (x+5)=0
x=-5
means when we are putting x=-5 then we will get 0.
Hence if (x+5) is a factor of f(x) then the condition that will be true is f(-5)=0.
Learn more about polynomials at https://brainly.com/question/2833285
#SPJ1
PLEASE HELP WILL GIVE BRAINLIEST
Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
Write the equation of the line of best fit using the slope-intercept form of the line y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
Test the residuals of two other points to determine how well the line of best fit models the data.
Use the line of best fit to help you to describe the data correlation.
Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
According to your line of best fit, what is the arm span of a 74-inch-tall person?
The variable that you would have to plot on the y axis (height) is the dependent variable while the variable that is on the x axis (arm span) is the independent or the explanatory variable.
How to get the slope of the lineThe slope was gotten through the use of the points (37,39) and (19,25)
This gave the slope of 7/9. This tells us that height of the person got to be raised by 7/9 inches when arm span increases by 1 inch.
From the given model, a person that has the arm span of 66 would have the height of
12 + 7/9 * 66
= 63.3 inches
A person who is 74 inches height the arm span of = 62*9/7
= 79. 71 inches.
Read more on line of best fit here:
https://brainly.com/question/17156587
#SPJ1
Help pls i cant answer and i need to get them right
The expression has 2 factors, and the second factor has 2 terms.
How many factors has the expression?We can write an expression of N factors as:
[tex]y = A_1*A_2*...*A_n[/tex]
Here, the expression is:
4*(8x + 5)
This expression has 2 factors, which are:
4 and (8x + 5)
Now, if we look at the only factor 8x + 5, we have two terms (the terms are the parts that are added), the terms are:
8x and 5.
If you want to learn more about factors and terms:
https://brainly.com/question/723406
#SPJ1
From the table, calculate the mean score.
Scores 0—4 5—9 10—14
Frequency 2 1 2
Answer:
7.
Step-by-step explanation:
Calculate the means for each group:
mean of 0-4 is 2
mean of 5-9 is 7
mean of 10-14 is 12
Mean = (Sum of frequencies * mean) / sum of frequencies
= required mean = [ (2(2) + 1(7) + 2(12)] / (2+1+2)
= 35/ 5
= 7.
The area of a painting is 4081 c m squared.
If the width of the painting is 53 cm, what is its length, in centimeters?
Type your numerical answer below (without units). If necessary, round to the nearest integer.
The length of the rectangle is 77cm.
According to the statement
we have given that the area of a painting is 4081 c m squared. and width of the painting is 53 cm.
And we have to find the Length of the painting.
So, For this purpose
Area of rectangle is the region occupied by a rectangle within its sides. It depends on its sides.
So, the formula to find the area of rectangle is
Area = Length*Breadth
4081 = L*53
L = 4081/53
L = 77 cm.
So, The length of the rectangle is 77cm.
Learn more about the Rectangle here
https://brainly.com/question/19819849
#SPJ1
Identify if the question is
statistical or non statistical.
"How many students at your
school play soccer?"
Answer: Statistical
Step-by-step explanation:
I think its statistical because its quantitative data, meaning you can count it.
A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.
4x + 5y = 30.50
11x + 14y = 84.50
The variable x represents the
✔ cost per pound of meat
.
The variable y represents the
cost per pound of cheese
.
The deli charges $
.
The quantity of meat and cheese sold by the deli according to the description accounts in the task content are; 4.5 and 2.5 pounds respectively.
What is the quantity of meat and cheese sold by the deli?The quantity of meat sold by the deli as represented by the variable X in the task content can be calculated by solving the systems of equations.
The quantity of cheese sold by the deli as represented by the variable y in the task content can be calculated by solving the systems of equations.
Consequently, solving the system of equations by means of substitution, we have;
y = (30.50-4x)/5
Hence, we have;
11x + 14((30.50-4x)/5) = 84.50
x = 4.5 pounds of meat and
y = 2.5 pounds of cheese.
Read more on system of equations;
https://brainly.com/question/13729904
#SPJ1
Amanda increased the amount of protein she eats everyday from 48g to 54 g By what percentage did Amanda increase the amount of protein she eats
Step-by-step explanation:
she increased the amount from 48g to 54g. that is 54-48 = 6g.
so, the question really is, how many % of 48 is 6 ?
100% = 48g
1% = 100%/100 = 48/100 = 0.48g
how many % are 6g ?
as many as how often 1% (0.48g) fits into 6g :
6 / 0.48 = 12.5%