Answers
Answer:
Given information:
To obtain the equation of the regression line for the given data.
The equation of regression line of y on x is given by:
y
−
¯
y
=
b
y
x
(
x
−
¯
x
)
;
w
h
e
r
e
,
y
=
d
e
p
e
n
d
e
n
t
v
a
r
i
a
b
l
e
x
=
i
n
d
e
p
e
n
d
e
n
t
v
a
r
i
a
b
l
e
b
y
x
=
s
l
o
p
e
o
f
r
e
g
r
e
s
s
i
o
n
l
i
n
e
¯
x
=
m
e
a
n
o
f
x
¯
y
=
m
e
a
n
o
f
y
y−y¯=byx(x−x¯);where,y=dependentvariablex=independentvariablebyx=slopeofregressionlinex¯=meanofxy¯=meanofy
The calculations for the equation of regression line is tabulated below:
The regression coefficient of y on x is given by:
b
y
x
=
∑
x
y
−
1
n
∑
x
∑
y
∑
x
2
−
1
n
(
∑
x
)
2
=
1944
−
1
5
×
98
×
69
2580
−
1
5
(
98
)
2
=
591.6
659.2
=
0.898
byx=∑xy−1n∑x∑y∑x2−1n(∑x)2=1944−15×98×692580−15(98)2=591.6659.2=0.898
Mean of x is calculated as:
¯
x
=
1
n
∑
x
=
1
5
×
98
=
19.6
x¯=1n∑x=15×98=19.6
Mean of y is calculated as:
¯
y
=
1
n
∑
y
=
1
5
×
69
=
13.8
y¯=1n∑y=15×69=13.8
The equation of regression line is given as:
y
−
¯
y
=
b
y
x
(
x
−
¯
x
)
y
−
13.8
=
0.898
(
x
−
19.6
)
y
=
0.898
x
−
3.8
y−y¯=byx(x−x¯)y−13.8=0.898(x−19.6)y=0.898x−3.8
Therefore, the required equation of regression line is y = 0.898x - 3.8.
Related Questions
Which expenses for the month of July had a negative variance we’re more than the amount budgeted
Answers
For the fixed expenses, Penders spends $150 less than the budgeted amount.
What is a Budget?A budget is a written plan that you make to decide how much money you will spend each month. A budget can help you ensure that you have enough money each month. If you don't have a budget, you may run out of money before your next payday. Your budget reveals how much money you make.
The three major budgets are as follows:
Budget that is balanced. A balanced budget is one in which the expected government expenses equal the estimated government receipts during a given fiscal year.
Budget Surplus. The surplus budget is the second of the three types of budgets.
Budget Deficit.
Read more about budgets here:
https://brainly.com/question/6663636
#SPJ1
tables that show a proportional relationship between x and y/ x,y 2,6,3,9,4,12/ 1,5,4,8,12,16
Answers
The ratio of y to x is not constant for each pair of values, we cannot conclude that the relationship between x and y is proportional.
Define constant?
A constant is a fixed value or quantity that does not change in a particular context or situation.
The tables you provided appear to show a proportional relationship between x and y. Specifically, the ratio of y to x is constant for each pair of values. We can confirm this by computing the ratios:
For the first table:
Ratio of y to x for the pair (2,6): 6/2 = 3
Ratio of y to x for the pair (3,9): 9/3 = 3
Ratio of y to x for the pair (4,12): 12/4 = 3
Since the ratio of y to x is constant for each pair of values, we can conclude that the relationship between x and y is proportional.
Similarly, for the second table:
The ratio of y to x for the pair (2, 1): 1/2 = 0.5
The ratio of y to x for the pair (4, 8): 8/4 = 2
The ratio of y to x for the pair (12, 16): 16/12 = 4/3
Hence, the ratio of y to x is not constant for each pair of values, we cannot conclude that the relationship between x and y is proportional.
To learn more about ratio visit the link :
brainly.com/question/13419413
#SPJ1
The complete question is in the attached image.
Find the first three terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1
an = 3(3)n
Answers
The first three terms of the sequence are 9, 18 and 27
What is arithmetic sequence?An arithmetic sequence is simply defined in algebra as a sequence of numbers where the difference between every two consecutive terms is the same.
From the information given, we have that;
The nth term of the sequence is given with the equation,
an = 3(3)n
For the first term, we have that n = 1
Substitute the values
a1 = 3(3)1
expand the bracket
a1 = 9
for the second term, n = 2
Substitute the value
a2 = 3(3)2
expand the bracket
a2 = 18
For the third term
a3= 3(3)(3)
a3 = 27
Learn about arithmetic sequence at: https://brainly.com/question/6561461
#SPJ1
find the missing side of each triangle. Leave your answers in simplest radical form
Answers
Answer:
5√5.
Step-by-step explanation:
Pythagoras.
x^2 = 15^2 - 10^2
= 225 - 100
= 125
x = √125
= 5√5.
Which triangle has hypotenuse GF?
C
G
A
EL-
Otriangle AFG
O triangle BFG
Mark this and return
-
D
H
B
F
Save and Exit
01:22:40
Submit
Answers
The triangle which has hypotenuse GF include the following: C. triangle EFG.
What is a triangle?In Mathematics and Geometry, a triangle can be defined as a two-dimensional (2D) geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
What is a right angle?In Mathematics and Geometry, a right angle can be defined as a type of angle that is formed in a triangle by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angled triangle has a measure of 90 degrees.
By critically observing the image (see attachment), we can reasonably infer and logically deduce that triangle EFG has hypotenuse GF because it is opposite the right angle (90 degrees).
Read more on right triangle here: brainly.com/question/1248322
#SPJ1
Complete Question:
Which triangle has hypotenuse GF?
triangle AFG
triangle BFG
triangle EFG
triangle DFG
Farmer Johnson is fencing in a rectangular area for his cows. The field has an area of 2,156.8 feet with a length of 32 feet. What is the perimeter of his field?
Answers
The width and perimeter of his field will be 67.4 feet and 198.8 feet, respectively.
Given that:
Area, A = 2,156.8 square feet
Length, L = 32 feet
Assume L is the length and W is the width. Then the area is given as,
A = L × W
The width of the rectangle will be calculated as,
2,156.8 = 32W
W = 67.4 feet
And the perimeter is calculated as,
P = 2(32 + 67.4)
P = 198.8 feet
More about the area and perimeter of the rectangle link is given below.
https://brainly.com/question/16572231
#SPJ1
What is the mean and median of the data 4,8,11,6,4,5,9,10,10,4
Answers
Step-by-step explanation:
1. The mean of the data given is 7.1
2. The median of the data given is 7
ADDITIONAL:
3. The mode is 4
4. The range is 7
5. The minimum is 4
6. The maximum is 11
7. There are no outliers
An employee receives a 2% raise once per year. If the employee’s initial salary is $61,900.00, what will the employee’s salary be after 7 years?
Answers
An employee receives a 2% rise once every year. If an employee's starting salary is $61,900.00, salary after seven years will be $71,103.64.
We will calculate the salary for each year till 7th year.
Salary after 1 year = Original salary × (100 + raise)/100
= 61,900 × (100+2)/100
= 61,900 × 102/100
= $63,138
Salary after second year = salary after first year × 1.02
= 63,138 × 1.02
= $ 64,400.76
Salary after third year = salary after second year × 1.02
= 64,400.76 × 1.02
= $ 65,688.78
Salary after fourth year = salary after third year × 1.02
= 65,688.78 × 1.02
= $ 67,002.55
Salary after fifth year = salary after fourth year × 1.02
= $ 67,002.55 × 1.02
= $ 68,342.60
Salary after sixth year = salary after fifth year × 1.02
= $ 68,342.60 × 1.02
= $ 69,709.45
Salary after seventh year = salary after sixth year × 1.02
= $ 69,709.45 × 1.02
= $ 71,103.64
So, the final salary after seven years after all the increments will be $ 71,103.64
To know more about salary increments:
https://brainly.com/question/20392489
#SPJ1
Need help ASAP. Need to know how to get x and y from x-2y=-13 and y=-2x-6. Not seperate, the xy for both combined if that makes sense. One answer.
Answers
Answer:
[tex]x = -5\\y = 4[/tex]
Step-by-step explanation:
Not sure I understand that part of your question ...not separate, the xy for both combined.
Here are the solution steps to determine x and y values
Given equations are
[tex]\begin{amatrix}x-2y=-13 \dots [1] \\\\ y=-2x-6\dots\dots[2]\end{amatrix}[/tex]
In equation [2] get all the variables to the left side and the constant on ther right side:
Add 2x to both sides of the equation:[tex]y + 2x = 2x - 2x - 6[/tex]Simplify:
[tex]y + 2x = - 6[/tex]Rewrite:
[tex]2x+y=-6\dots\dots [3][/tex]
Let's examine equations [1] and [3]:
[tex]\begin{aligned}x - 2y &= - 13 \dots [1]\\ 2x + y &= -6\;\;\dots[3]\\\end{aligned}[/tex]
Multiply eq [1], [tex]x - 2y = -13[/tex] throughout by [tex]2[/tex]:
[tex]2(x - 2y) &= 2(- 13) \implies 2x - 4y = -26 \dots[4]\\[/tex]
Subtract the equations:
[tex]2x+y=-6\\-\\\underline{2x-4y=-26}\\\\5y=20\\\\y = \dfrac{20}{5} = 4[/tex]
[tex]\mathrm{For\:}2x-4y=-26\mathrm{\:plug\:in\:}y=4[/tex]:
[tex]2x-4\cdot \:4=-26\:\\\\2x - 16 = -26\\\\2x = -26 + 16\\\\2x = -10\\\\x = -10/2 = -5[/tex]
simplify/solve the follow equationslogA1logAAlog A x Blog (a/b)log A ^ Blog 1/A
Answers
Using the logarithm quotient rule, it can be simplified to log1 - logA. Since log1 = 0 for any base, this simplifies further to -logA.
We simplify and solve the given expressions using the mentioned terms. Here are the step-by-step explanations for each expression:
1. logA: This expression represents the logarithm of a number A to a specified base. Without any base provided, it cannot be simplified further.
2. 1logAA: Since the coefficient of the logarithm is 1, this simplifies to logAA, which represents the logarithm of A to the base A. By definition, logAA = 1.
3. logA x Blog (a/b): This expression seems to have formatting issues, so I'll break it down into two separate expressions: - logA x B: This represents the logarithm of the product AB to a specified base. Using the logarithm product rule, it can be simplified to logA + logB. - log (a/b): This represents the logarithm of the quotient a/b to a specified base. Using the logarithm quotient rule, it can be simplified to loga - logb.
4. log A ^ B: This expression represents the logarithm of A raised to the power of B to a specified base. Using the logarithm power rule, it can be simplified to B * logA. 5. log 1/A: This expression represents the logarithm of the reciprocal of A (1/A) to a specified base.
Using the logarithm quotient rule, it can be simplified to log1 - logA. Since log1 = 0 for any base, this simplifies further to -logA.
Learn more about logarithm product rule,
https://brainly.com/question/30133428
#SPJ11
SOMEONE HELPP FASTTT
Answers
The value of n in the given expression is 4.
Given that an expression 8⁹ = 8ⁿ·8⁵ we need to find the value of n,
So,
8⁹ = 8ⁿ·8⁵
8⁹/8⁵ = 8ⁿ
8⁽⁹⁻⁵⁾ = 8ⁿ
8ⁿ = 8⁴
n = 4
Hence the value of n in the given expression is 4.
Learn more about expression click;
https://brainly.com/question/14083225
#SPJ1
If you invest 40% of your money in A and 60% in B, what is the expected rate of return and how much process of your first first directory isbao S?
Answers
The portfolio's expected rate of return and standard deviation is B) 9.9%; 1.1%
How to calculate the valueState Portfolio Return of 1,2,3,4,5is caluclated as:- First 1=40%*10%+60%*8%=8.8000%,
Second.=40%*13%+60%*7%=9.4000%,
Third=40%*12%+60%*6%=8.4000%,
Fourth =40%*14%+60%*9%=11.0000%,
Fifth =40%*15%+60%*8%=10.8000% and
Portfolio
Expected return=0.10*8.8%+0.20*9.4%+0.20*8.4%+0.30*11%+0.20*10.8%=9.9%
Portfolio Standard Deviation= ✓(0.10*(8.8%-9.9%)² +0.20*(9.4%-9.9%)²+0.20*(8.4%-9.9%)² +0.30*(11%-9.9%)² +0.20*(10.8%-9.9%)²)=1.1%
The correct option is B) 9.9%;1.1%
Learn more about deviation on
https://brainly.com/question/24298037
#SPJ4
If you invest 40% of your money in A and 60% in B, what would be your portfolio's expected rate of return and standard deviation?
A) 9.9%; 3%
B) 9.9%; 1.1%
C) 11%; 1.1%
D) 11%: 3%
E) 10.6%; 2.1%
You have 73 pictures to put in a photo album.
Each page of the album holds 8 pictures.
How many pages in the photo album will be completely filled?
Answers
Answer: 9 pages in the photo album will be completely filled.
Step-by-step explanation:
To determine how many pages of the photo album will be completely filled, we need to divide the total number of pictures by the number of pictures per page:
73 pictures ÷ 8 pictures per page = 9.125
Since we can't have a fraction of a page, we need to round up to the nearest whole number.
9.125 rounded to the nearest whole number is 9.
what percentadge would be in each eighth of a circle
Answers
Answer:
12.5%
Step-by-step explanation:
...............
There are many measurements of the human body that are positively correlated. For example, the length of one's forearm (measured from elbow to wrist) is approximately the same length as the foot (measured from heel to toe). They are positively correlated because, as one measurement increases, so does the other measurement.
You will discover through this project whether a human's arm span (measured across the body with the arms extended) is correlated to his height.
You will need to collect data from 11 people, which will give you 12 data points including your own personal data. You will turn in and answer questions regarding only one scatter plot if doing the project alone. You may use the sample data provided in Part One if you do not have 11 people to measure.
Part One: Measurements
Measure your own height and arm span (from finger-tip to finger-tip) in inches. You will likely need some help from a parent, guardian, or sibling to get accurate measurements. Record your measurements on the "Data Record" document. Use the "Data Record" to help you complete Part Two of this project.
Measure 11 additional people, and record their arm spans and heights in inches. You may use the sample data provided in the table if you do not have 11 people to measure.
Arm Span (inches) Height (inches)
58 60
49 47
51 55
19 25
37 39
44 45
47 49
36 35
41 40
46 50
58 61
Part Two: Representation of Data with Plots
Using graphing software of your choice, use a scatter plot of your data. Predict the line of best fit, and sketch it on your graph.
Copy and paste your scatter plot into a word processing document.
Part Three: The Line of Best Fit
Include your scatter plot and the answers to the following questions in your word processing document:
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?
05.06 Scatter Plots and Line of Best Fit—Option 1 Rubric
Requirements Possible Points Student Points
Student creates a scatter plot correctly according to submitted data. 3
Student shows that the line of best fit goes through the center of the data. 2
Student answers Question 1 correctly by determining which variable should be on which axis. 2
Student answers Question 2 correctly, presenting a reasonable equation for the line of best fit given the data. 3
Student answers Questions 3 through 7 correctly based on the data provided (2 points each). 10
Answers
Step-by-step explanation:
I'm sorry! Although, I cannot perform the physical measurements required for this project, I can provide some guidance on how to approach the project.
Part One of the project involves measuring the heights and arm spans of 11 people, in addition to your own measurements. If you do not have access to 11 people to measure, you can use the sample data provided in the table.
Part Two of the project involves creating a scatter plot of the data using graphing software of your choice. You should also predict the line of best fit and sketch it on your graph.
Part Three of the project involves analyzing the scatter plot and the line of best fit. You will need to determine which variable should be plotted on the x-axis and which should be plotted on the y-axis. You should also write the equation of the line of best fit using the slope-intercept form of the line y = mx + b and explain what the slope and y-intercept represent within the context of your graph.
Additionally, you will need to 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 describe the data correlation, and use the line of best fit to approximate the height of a person with a given arm span and vice versa.
Make sure to follow the rubric provided and include your scatter plot and answers to the questions in a word processing document.
Classes
IDEAS MATH
#4
/59
You measure your distance from a tree and the angle of elevation from the ground to the top of the tree. The triangle shown represents the
situation. Find the height of the tree. Round to the nearest hundredth.
30 ft
h =
Previous
hil
feet
1
2
3
4
URIEL DOMINGUEZ
Next
U
Answers
Answer:
Great question!!
Step-by-step explanation:
I don't have an answer for you, although, I'm sure that you will figure it out on your own, or god forbid, ask/email your teacher or peer! also, keep in mind, don't share your actual identity online:)
In circle P, PQ = 3 and m/QPR = 45°. Find the area of shaded sector. Express
your answer as a fraction times πT.
Answer
Answers
The calculated value of the area of shaded sector is 1.125π
Finding the area of shaded sector.From the question, we have the following parameters that can be used in our computation:
Radius, PQ = 3 units
Central angle, QPR = 45 degrees
The area of shaded sector is calculated as
Area = Central angle/360 * π * Radius^2
Substitute the known values in the above equation, so, we have the following representation
Area = 45/360 * π * 3^2
Evaluate
Area = 1.125π
Hence, the area is 1.125π
Read mroe about area at
https://brainly.com/question/16656203
#SPJ1
Suppose set s1 is [1, 2, 5] and set s2 is [2, 3, 6]. After s1.retainAll(s2), s1 is __________.
Answers
After set s1.retainAll(s2), s1 is [2].
After performing the operation s1.retainAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become [2].
To determine the value of s1, the following steps has to be taken:
1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].
2. Perform the retainAll() operation on s1 with s2.
3. The retainAll() operation keeps only the elements that are common in both sets.
4. The common element in both sets is 2.
5. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.retainAll(s2), the set s1 becomes [2].
Know more about set here:
https://brainly.com/question/13458417
#SPJ11
how many pages have the three students read combined? a 350 pages b 305 pages c 295 pages d 195 pages
Answers
The three students have read a total of 950 pages combined.
To find out how many pages the three students have read combined, we need to add up the number of pages read by each student.
Let's label the students as A, B, and C and the number of pages they have read as a, b, and c, respectively. According to the given information, we have:
a = 350
b = 305
c = 295
To find the total number of pages read by all three students, we need to add up a, b, and c:
a + b + c = 350 + 305 + 295 = 950.
To find the total number of pages read by the three students, we need to add up the number of pages read by each student. This can be done by simply adding the values of a, b, and c. In this case, the total number of pages read by all three students is 950.
Learn more about students here:
https://brainly.com/question/17332524
#SPJ4
A laptop is sold for Nu 45,000. This includes the mark-up amount of Nu 3200. What is the cost price of the laptop and its mark-up percent?
Answers
Answer: 41800, 7.6555%
Step-by-step explanation:
The laptop sold for 45000 nu with a markup of 3200 nu.
This means the price of the laptop was (45000-3200) nu before the markup, or 41800 nu.
To find the mark-up percent, divide 3200 by 41800.
That will give you a percent of 7.6555
To double check that this is correct, multiply 41800 by 1.076555, and you'll get 45000 nu.
DIG DEEPER A pool manager balances the pH level of a pool. The price of a bucket of chlorine tablets is $90, and the price of a pH test kit is $11. The manager uses a coupon that applies a 40% discount to the total cost of the two items. How much money does the pool manager pay for each item?
chlorine tablets: $___
pH test kit: $___
Answers
The amount of money that the pool manager paid for each item are as follows;
chlorine tablets: $54.
pH test kit: $6.6.
How to determine the sale price of this dictionary?In this scenario and exercise, we would determine the sales price after a discount of 40 percent is applied to the total cost of the two items as follows;
Discount of 40% off = 100 - 50
Discount of 40% off = 60%
Next, we would calculate 50 percent of the original price of of each item as follows;
New sales price for chlorine tablets = 60/100 × 90
New sales price for chlorine tablets = 0.6 × 90
New sales price for chlorine tablets = $54.
New sales price for pH test kit = 60/100 × 11
New sales price for pH test kit = 0.6 × 11
New sales price for pH test kit = $6.6.
Read more on discount price here: brainly.com/question/28244023
#SPJ1
Karen and Lou each raised
money for charity. Karen raised
$90. Lou raised $24.
Select a number under each box
to complete the statement.
Answers
Answer: The answer is Karen needs $11.
Hope this helps!!!!
Step-by-step explanation: Please give Brainlist.
I can answer more of your questions just ask.
what’s correct answer
Answers
Answer:
B
Step-by-step explanation:
B is the correct answer because it is the only answer that has the starting point right. because the equation is y= 4x -3 that means you must start at (0,-3) before you start drawing the line
Subtract. Write your answer in simplest form.
9 1/14 - 3 6/7
A. 6 1/14
B. 5 3/14
C. 5 11/14
D. 6 11/14
Answers
Answer:
Answer is B- 5 3/14.
I just need to fill in characters for this to submit, but hopefully this helped you out!
A factory adds three red drops and two blue drops of coloring to white paint to make each pint of purple paint. The factory will make 50 gallons of this purple paint. How many drops of red and blue coloring will the factory need in the 50-gallon batch of purple paint?
Answers
Answer: 300 drops of paint
Step-by-step explanation:
6X5=30 6X50=300
Liza is playing a game in which she earns 3 points for each correct response but loses 2 points for each incorrect response. She missed the first 3 questions. Right now she just hopes to break even. Which statement is true?
Answers
" To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0 "
How can she break even?Liza omitted three questions.
Liza's score is therefore 3 * (-2) = - 6
Say Liza correctly responds to a question.
so, score = 3n.
3n - 6 = 0
=> 3n = 6
=> n = 2
the appropriate statement is;
Given that Liza currently has -6 points and a score of 0 as a result, she needs to properly answer 2 questions in order to receive 6 points in order to break even.
Learn more about break even:https://brainly.com/question/13770712
#SPJ1
Missing parts;
Liza is playing a game in which she earns 3 points for each correct response but loses 2 points for each incorrect response. She missed the first 3 questions. Right now she just hopes to break even. Which statement is true?
To break even, Liza must answer 3 questions correctly to cancel out the 3 she answered incorrectly.
To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
To break even, Liza must answer 6 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
To break even, Liza must answer 1 question correctly, because she needs 3 points to cancel out the 3 questions she answered incorrectly
Question 2 of 10 Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols. 3x+4y= 17 - 4x - 3v = - 18 Answer here
Answers
Answer:
Step-by-step explanation:
To solve the system of equations:
3x + 4y = 17 (equation 1)
-4x - 3v = -18 (equation 2)
We can use either the substitution method or the elimination method. Here, we will use the elimination method to eliminate one of the variables.
Multiplying equation 1 by 4 and equation 2 by -3, we get:
12x + 16y = 68 (equation 3)
12x + 9v = 54 (equation 4)
Subtracting equation 4 from equation 3, we get:
7v = 14
Dividing both sides by 7, we get:
v = 2
Substituting v = 2 into equation 4, we get:
12x + 9(2) = 54
12x + 18 = 54
12x = 36
x = 3
Substituting x = 3 into equation 1, we get:
3(3) + 4y = 17
9 + 4y = 17
4y = 8
y = 2
Therefore, the solution to the system of equations is (3, 2).
The rectangles below have the same area. 9 in 12 in 18 in What is the perimeter of the gray rectangle?
Answers
The perimeter of the gray rectangle, given that both rectangles have the same area, is 48 inches
How to find the perimeter ?First, find the area of the first rectangle by the formula :
= Length x Width
= 9 x 12
= 108 inch ²
This means that the perimeter of the gray rectangle is 108 inch ² as well. The missing dimension would be:
Area = Length x Width
108 = Length x 18
Length = 108 / 18
Length = 6 inch
The perimeter is then :
= 18 + 18 + 6 + 6
= 48 inches
Find out more on perimeter at https://brainly.com/question/24571594
#SPJ1
Write the formula that shows the dependence of the volume V of a cube on the length a of its edge.
Answers
Answer: a^3
Step-by-step explanation:
if a cube is made up of the same measurements LxWxH will be the same number for example: a cube with a side length of 2 will have its width length and height 2 therefore the volume will be 2^3 or 8
Which of the following is NOT a solution to the system of inequalities? (3, 1) (0, 5) (1, 4) (1, 3)
Answers
The point that is not a solution of the system of inequalities is (3, 1).
How to identify the solutions of the system of inequalities?A point is a solution of the system of inequalities only if it lies in the shaded region (the green one) or in top of the solid line (this would be the line with negative slope).
Then from the given points the ones that are solutions are:
(1, 3) (it lies on the shaded region)
(1, 4) (it lies in the shaded region)
(0, 5) (it lies in the shaded region)
Then the anser is the remaining one (3, 1), that is not a solution.
Learn moer about systems of inequalities at:
https://brainly.com/question/9774970
#SPJ1
