Answer:
y = 78.4286x1 + 7170.2361x2 - 236.2895x3 - 5663.3894x4 - 29470.2716
Goodness of fit = 0.8929
Predicted price = $251,281
Step-by-step explanation:
Selling price (Y) :
240800
215200
199200
182400
144800
126400
312000
185600
176800
162400
304000
256000
222400
159200
130400
Size (X1) :
3070
2660
2390
2240
1500
1440
3720
2520
2160
2140
3000
3000
2700
2020
1200
Room (x2) :
7
6
7
6
7
7
9
7
7
8
8
8
7
7
6
Age (X3) :
23
23
20
9
17
8
31
15
8
20
15
18
17
18
17
Attached garage (X4) :
1
1
1
0
0
0
1
1
0
1
1
1
1
0
0
Multiple regression model:
y = a1x1 + a2x2 + a3x3 + a4x4 + c
Where, a1, a2, a3, a4 are the Coefficients
c = intercept
The result of the multiple regression fit using a multiple regression calculator is :
y = 78.4286x1 + 7170.2361x2 - 236.2895x3 - 5663.3894x4 - 29470.2716
The cost of housing with an attached garage decreases by $5663.3894
Goodness of fit of the regression equation is 0.8929
Use the estimated equation to predict the sales price of a 3000-square-foot, 20-year-old home that has seven rooms but no attached garage.
Put values in the regression equation :
y = 78.4286(3000) + 7170.2361(7) - 236.2895(20) - 5663.3894(0) - 29470.2716
y = $251281.3911
Hence, predicted value is $251,281
3 and 3/4 - 2 and 1/5
Answer:
31/20 or 1 11/12
Hope this helps!
3. A truck leaves a depot at 11 AM and travels at a speed of 45 mph. At noon, a van leaves
the same place and travels the same route at a speed of 65 mph. At what time does the van
overtake the truck?
Answer:
The van overtakes the truck at 2:15 PM.
Step-by-step explanation:
A truck leaves a depot at 11 AM and travels at a speed of 45 mph.
The van leaves 1 hour later, so when the van leaves, the truck will be at position 45 miles. The equation for the truck's position is given by:
[tex]T(t) = 45 + 45t[/tex]
At noon, a van leaves the same place and travels the same route at a speed of 65 mph.
At noon, the van is at the position of 0 miles, and travels at a speed of 65 miles per hour. So, the equation for the vans' position is:
[tex]V(t) = 65t[/tex]
At what time does the van overtake the truck?
t hours after noon, in which t is found when:
[tex]V(t) = T(t)[/tex]
So
[tex]65t = 45 + 45t[/tex]
[tex]20t = 45[/tex]
[tex]t = \frac{45}{20}[/tex]
[tex]t = 2.25[/tex]
0.25 of an hour = 1/4 = 15 minutes.
Thus, the van overtakes the truck at 2:15 PM.
) A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a sample of 200 items, 28 are defective. a) Find the 95% confidence interval for the proportion of defectives from this production line b) Interpret the results (the interval) you got
Step-by-step explanation:
Here are the solutions:
For the sample size of 300, with 27 defectives, the sample proportion is p-hat = 27/300 = 0.09.
For a 90% confidence interval of a proportion, use z = 1.645.
The limits of the interval are then:
Lower limit = p-hat - z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/300) = 0.0628
Upper limit = p-hat + z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/300) = 0.1172
The 90% confidence interval is then (0.0628, 0.1172)
For the larger sample, assuming that the same proportion of defectives is found (p-hat = 0.09), the new confidence interval would be:
Lower limit = p-hat - z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/20,000) = 0.0867
Upper limit = p-hat + z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/20,000) = 0.0933
In this case, the 90% confidence interval is (0.0867, 0.0933)
Thanks,
Zahra was given two data sets, one without an outlier and one with an outlier.
Data without an outlier: 15, 19, 22, 26, 29
Data with an outlier: 15, 19, 22, 26, 29, 81
How is the median affected by the outlier?
O The outlier slightly affected the median.
O The outlier made the median much higher than all the other values.
O The outlier made the median much lower than all the other values.
The median is the exact same number in both data sets.
Answer:
"A" The outlier slightly affected the median.
Step-by-step explanation:
hope this helps <3
what is the constant rate change shown in the graph below?
Answer:
-3Step-by-step explanation:
Constant rate of change is the slope.
Find the slope using two points on the graph:
(0, 0) and (1, -3)The slope is:
m = - 3/1 = -3Answer:
the two points be
(0,0) and (1,-3)
slope [m]=[-3-0]/[1-0]=-3
constant rate is-3.
A quiz has 5 questions with answers that are either true or false. How many different combinations of answers are
possible?
Ο 10
Ο 16
Ο Ο Ο
25
Ο 32
100 Points!!!!! PLEASE HELP. Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Part 2: Writing Equivalent Expressions
3. You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.
a. Use either the commutative property or combine like terms to create an equivalent expression.
b. Use the distributive property to create an equivalent expression.
4. Pick a number from 1 to 10. Use that number to verify your three expressions (the original, the one from 3a, and the one from 3b) are equivalent by substituting it into each expression. Show all your work for complete credit.
Part 3: Finish the Story
5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Step-by-step explanation:
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
25(10j + 18 + 5j)
Your expression is good.
Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Skuttle offered to pay his sister Izzy $25 for every four-leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will overall make more money together.
Your verbal expression is good. It reflects your chosen equation.
Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.
Using commutative property of addition, the expression in question 1 can be rewritten as follows:
Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:
Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.
Part 3: Finish the Story
Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Answer:
Step-by-step explanation:
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
25(10j + 18 + 5j)
Your expression is good.
Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Skuttle offered to pay his sister Izzy $25 for every four leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will over all make more money together.
Your verbal expression is good. It refrects your chosen equation.
Part 2: Writing Equivalent Expressions
Q3. Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.
Using commutative property of addition, the expression in question 1 can be rewritten as follows:
25(10j + 18 + 5j) = 25(10j + 5j + 18)
Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:
25(10j + 18 + 5j) = 250j + 450 + 125j
Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.
Now we can subsitute, say 7 for j.
For the first expression, we have:
25(10j + 5j + 18) = 25(10(7) + 5(7) + 18)
= 25(70 + 35 + 18) = 25(123) = 3,075.
For the second expression, we have:
250j + 450 + 125j = 250(7) + 450 + 125(7) = 1,750 + 450 + 875 = 3,075.
Thus, we can see that both expressions are equivalent.
Part 3: Finish the Story
Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Sarah found 3 + 7 = 10 shark teeth.
John found 10 / 2 = 5 shark teeth.
The total money they earned is $5 x 15 = $75.
1) an expression that looks similar would be (could be anything)
4(5j+8+4j)
2) It would become:
four times the sum of five times a number, eight, and four times the same number
3) equivalents would be 4(9j+8)
or:
4(5j)+4(8)+4(4j)
4) say J=1 for simplicity
4(9+8)
=4x17
=68
next one would be:
4x5+4x8+4x4
=20+32+16
=68
ok, this is correct.
5) Sarah found 10 shark teeth for $50. John found 5 shark teeth for $25. They got $75 from their neighbor in total.
Step-by-step explanation:
lf 9/28 of the students at Williards High school participate in after school sports activities, what fraction of the students do not participate in after school activities
Answer: 19/28
Step-by-step explanation:
9/28 participate, so that means that ? dont participate.
28/28 = 1 whole
28 - 9 = 19
so 19/28 students do not participate in after school activities.
HELPP
Find the side length x . Round to the nearest hundredth
Answer:
x = 11.18
Step-by-step explanation:
According to the Pythagorean Theorem; (Leg1)² + (leg2)² = (Hypotenuse)²
10² + x² = 15²
100 + x² = 225
x² = 125
x = [tex]\sqrt{125}[/tex]
x = 11.18
Hope this helps!
Solve the following inequality and represent your solution on a number line. [4+1]
3
4+3
≤
2
3
≤
2
+5
The question seems incomplete.
point a is located at 18 on the number line. point b is located at -14 on the number line.
what is the distance between point a and point b on the number line?
The distance is 32 to get the answer just add them both together since one is negotiable .
We have given that,
point a is located at 18 on the number line. point b is located at -14 on the number line.
We have to determine the distance between point a and point b on the number line.
What is the number line?
A number line is a horizontal straight line with numbers placed at equal distances from each other along that line. Some will have a specified starting
The distance is 32 to get the answer just add them both together since one is negotiable .
To learn more about the number line visit:
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PLEASE HELP WILL MARK BRAINLEIST
15 POINTS....
Answer:
B or C
Step-by-step explanation:
Answer:
B is correct
Step-by-step explanation:
find the perimeter of a rectangle if its breadth is (a+1)cm and its length is 2cm more than the breadth.
Help please ! Questions 1, 2, & 3 .
Answer:
9/25
2
3.5
Step-by-step explanation:
0.36 as a fraction :
(0.36 / 1)
Multiply both numerator and denominator by 100
36 / 100
Reduce to lowest form
Divide both numerator and denominator by 4
9/25
2.
√3 = 1.732
=2 (nearest whole number
3.)
Approximate value of √12
√12 = 3.4641016
= 3.5
5. Marcus purchased 8.5 pounds of sweet potatoes. If each pound of sweet potatoes sells for $1.20, how much does Marcus owe for sweet potatoes?
Answer:
$10.20
Step-by-step explanation:
If you can help me with these 4 questions I'll give brainliest :))
Answer:
Mode: 86 ( a number that's repeated the most in the data set)
Range: 47 (Largest number subtracted by the smallest number in the data set)
Median: 56 (Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers)
Mean: 61 (The mean of a set of numbers is the sum divided by the number of terms).
Hope this helps!
.
PLEASE HELP ME
Which of the following is likely to have the
greatest variability?
A. The cost of a piece of candy from a vending
machine
B. The height of all the students at West Middle
School
The age of all the students in the sixth grade
D. The number of days in a month
Answer:
B. The height of all the students at West Middle school
Step-by-step explanation:
The greatest variability is a large spectrum of possibilities.
The costs of candy from a vending machine are all going to be about the same price because they are all candy, so that doesn't vary much.
The age of all the students in the sixth grade is going to be about the same because they are in the same grade.
The number of days in a month is usually 31 or 30, so that also does not vary much.
This means that it has to be the height of all the students at West Middle school because it is a middle school so there are 3 different grades each having many students. This means that it will have the greatest variability.
Name that Circle Part!
Directions: Use the diagram to classify each circle part by clicking on, copy (ctrl+c) and pasting (ctrl+v) then dragging the appropriate part. Parts may be used more than once.
Answer:
Good luck
Step-by-step explanation:
Sorry I don´t understasnd
The circle parts with overline over them is line segment, such as LQ, the parts with angle sign are angle and part with curve over them is chord.
What are the Circle Parts?There are different parts of circle such as chord, radius, diameter, central angle, circumference etc.
In this provided problem, we have to name all the part of the circle shown in the figure.
In the figure,
P and X are the center.PN, PM, PQ are the radius of first circle and XR, XU, XY are the radius of second circle.MQ, QR, RN, NM are the chord of first circle and YW, WR, RU, UY are the chord of second circle.LM and UY are the secant and LQ is tangent.Thus, the circle parts with overline over them is line segment, such as LQ, the parts with angle sign are angle and part with curve over them is chord.
Learn more about the circle here;
https://brainly.com/question/14068861
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ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????
Answer:
translation
Step-by-step explanation:
same size just moved
Jon's age is three times Jac's age. Jill's age is one third of Jac's age. Jon is 16 years older than Jill. How old is Jac?
Answer:
Jac is 6
Step-by-step explanation:
Jill= J
Jac = 3J
Jon 3(3J) = 9J
Jon is 16 yaers older than Jill
9J - J = 16.
8J = 16
J = 2 (Jill is 2)
Jack : 3x2 = 6 Jack is 6
Jon :3X6 = 18 Jon is 18 (16 years older than Jill)
Im on a girls basketball team , 3 are in sixth grade , 5 are in seventh grade , and 6 are in eighth grade . so which is the ratio of seventh graders to eighth graders on the team ?
Please help me please
Answer:
5
Step-by-step explanation:
the prime factors of 90 are 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3 and 5 are the prime numbers.
Given the system of equations, what is the solution?
x + 2y = 7
x - 2y = -1
A.) {(-4, 6)}
B.) {(-8, -12}
C.) {(3,2)}
9514 1404 393
Answer:
C.) (3, 2)
Step-by-step explanation:
The coefficients of y are opposites, so we can add the two equations to eliminate y.
(x +2y) +(x -2y) = (7) +(-1)
2x = 6 . . . . . simplify
x = 3 . . . . . . matches choice C
RECREATION suppose of a group of students goes rollerblading while of the group plays beach volleyball. How much more of the group chooses to play beach volleyball than go rollerblading?
Answer:
I don't exactly get what your trying to ask since their isn't enough information. But in my opinion rollerblading is more fun, but people would rather play volleyball since it is a team effort
Step-by-step explanation:
The pie chart shows the results of a survey on
students' favourite subjects.
a What fraction of the students chose Science?
b 60 students chose Maths.
i How many students chose Languages?
ii How many students chose Other?
jii How many students took part in the survey?
Favourite subjects
380 1200
O Mathis
Languages
Science
Art
DOther
90° 42
sh
o
a
Answer:
Step-by-step explanation:
http://www.mrbartonmaths.com/resources/GCSE%20Revision/GCSE%20Maths%20Takeaway/2.%20Grade%20D/46.pdf
You can find it in this site
-5 1/4 - (-7 1/2)
A) -12 3/4
B) 2 1/4
C) -2 1/4
D)2 3/4
Answer:
2 1/4
Step-by-step explanation:
-5 1/4 - (-7 1/2)
Subtracting a negative is like adding
-5 1/4 + (7 1/2)
Get a common denominator
-5 1/4 + (7 1/2 *2/2)
-5 1/4 + (7 2/4)
Since the signs are different, we subtract the smaller from the larger and take the sign of the larger
7 2/4 - 5 1/4
2 1/4
Answer:
B) 2 1/4 or 9/4
Step-by-step explanation:
-5 1/4=-21/4
-7 1/2=-15/2
------------------
-21/4+15/2
-21/4+30/4
9/4
The oak tree is 11times as old as the garden the sum of their age is 108 years how old as is each the garden and tree?
Step-by-step explanation:
Oak tree -> 11 units
Garden-> 1 unit
Total-> 12 units which is 108 years
So, 1 unit is 9.
Garden-> 9 years
Oak tree-> 99 years.
The cost of a car rental is $30 per day plus 20¢ per mile. You are on a daily budget of $94. Write and
solve an inequality to find the greatest distance you can drive each day while staying within your
budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answer: Read carefully.
Step-by-step explanation:
STEP 1
determine inequality
Car rental= $30 per day
Mileage= $0.20 per mile
m= number miles driven
Add daily rental charge to the quantity of (number of miles driven multiplied by the per mile charge). This has to be less than or equal to the budget of $94 a day.
$30+ ($0.20 * m) ≤ $94
$30 + $0.20m ≤ $94
Hope this helps! Have an amazing day!
What is the surface area of the
rectangular prism below?
Answer: 476.88
Step-by-step explanation: length times width times height
Answer:
The answer is 476.88
Step-by-step explanation:
Mark is sorting shapes. He has a group of shapes with these attributes:
4 sides
Exactly 2 right angles
Exactly 1 pair of parallel sides
Which shape belongs in this group?