The correct statement is: "The average number of days the house stayed on the market before being sold for $150,000." So option (a) is correct.
To find the meaning of f(150) , we need to understand that f(p) represents the average number of days a house stays on the market before being sold for price ( p ) in $1,000s.
So, f(150) represents the average number of days a house stays on the market before being sold for $150,000.
This means the correct statement is: "The average number of days the house stayed on the market before being sold for $150,000."
To calculate this, let's say there are ( n ) houses that were sold for $150,000. The total number of days these houses stayed on the market would be the sum of days for each house. Then we divide this sum by (n ) to find the average.
Let's say [tex]\( D_i \)[/tex] is the number of days house [tex]\( i \)[/tex] stayed on the market before being sold for $150,000.
[tex]\[ f(150) = \frac{D_1 + D_2 + \cdots + D_n}{n} \][/tex]
Now, let's illustrate the calculation:
Let's assume 5 houses were sold for $150,000 and their days on market were 120, 140, 160, 180, and 200.
[tex]\[ f(150) = \frac{120 + 140 + 160 + 180 + 200}{5} \][/tex]
[tex]\[ f(150) = \frac{800}{5} = 160 \][/tex]
So, [tex]\( f(150) = 160 \)[/tex] which means the average number of days a house stayed on the market before being sold for $150,000 is 160 days. Therefore, the correct statement is: "The average number of days the house stayed on the market before being sold for $150,000."
Complete Question:
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(150)?
a. This is the average number of days the house stayed on the market before being sold for $150,000.
b. The house sold on the market for $150,000 and stayed on the market for an average of 150 days before being sold.
c. The house sold for $150,000.
d. The house stayed on the market for an average of 150 days before being sold.
Simplify 10 • 2 • 2 • 30 500 1200 4800 5000
Processing ends successfully
Answer:
1200
Step-by-step explanation:
10 times 2 is 20
20 times 2 is 40
40 times 30 is 1200
answer: 1200
Graph the lines by finding the points of intersection with the axes (intercepts):
y=4x+8
Answer:
x − intersection is (__,__ ) .
y − intersection is (,__,__).
The x-intersection of y=4x+8 is at the point (-2,0) and the y-intersection is at the point (0,8).
Explanation:We want to find the points where the line y=4x+8 intersects the x and y-axis.
For the x-intersection, we set y=0.
So, 0=4x+8, which simplifies to x = -2. So, the x-intersection is at the point (-2,0).
For the y-intersection, we set x=0.
So, y=4*0+8, which gives y = 8. So, the y-intersection is at the point (0,8).
To find the x-intercept, set y=0 and solve for x:
0 = 4x + 8
x = -2
So, the x-intercept is (-2, 0).
To find the y-intercept, set x=0 and solve for y:
y = 4(0) + 8
y = 8
So, the y-intercept is (0, 8).
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Before discarding, Carolee has 4 green cards, 3 red cards, 3 orange cards, and 1 gold card. If she discards the gold. Are, what percent of her remaining cards are red?
After discarding the gold card, Carolee has a total of 10 cards left. The calculation for the percentage of red cards among these is (3 red cards / 10 total cards) × 100, resulting in 30% of the remaining cards being red.
Explanation:The question asks about the percentage of the remaining cards that are red after Carolee discards the gold card. Initially, Carolee has 4 green cards, 3 red cards, 3 orange cards, and 1 gold card. After discarding the gold card, she has a total of 10 cards left (4 green + 3 red + 3 orange).
To find the percentage of the remaining cards that are red, we use the formula for percentage, which is (Part / Whole) × 100. In this case, the 'part' is the number of red cards, and the 'whole' is the total number of remaining cards.
Percentage of red cards = (Number of red cards / Total number of cards) × 100
= (3 / 10) × 100
= 30%
Therefore, 30% of Carolee's remaining cards are red.
The warehouse already has 27 pallets of stock waiting to be unloaded, and the delivery van arrives with another 8. The warehouse has room for 32 pallets, how many extra pallets will there be?
There are 3 extra pallets will be there.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example,Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have.
The warehouse already has 27 pallets of stock waiting to be unloaded, and the delivery van arrives with another 8.
So, total pallets
= 27 + 8
= 35
Now, the number of extra pallets
= 35- 32
= 3 pallets
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A gym membership costs $25 to join and $14 each month. Write and use an algebraic expression to find the cost of the gym membership for 6 months?
Is also sort of math but how do you do celsius since I can't figure out how to do it since I'm American so I've never learned it in my school
to convert Fahrenheit to Celsius
subtract 32 then multiply by 5/9
example 80 degrees F would be (80-32=48, 48 *5/9 = 26.66) 27 degrees C
If it takes Leaping Louie 5 minutes to jump 3 blocks, how long will it take for him to jump 15 blocks?
Answer:
0.6 blocks/min
25 min
Step-by-step explanation:
3 blocks ÷ 5 min = 0.6 blocks/min
15 blocks ÷ 0.6 blocks/min = 25 min
The parade had 127 floats. Thatis 34 fewer floats than last year. How many floats were in the parade last year?
In which place should you write the first digit of the quotient 3381 divided 47 how can you determine that without using division
To identify where the first digit of the quotient will go when dividing 3381 by 47 without actual division, start from the leftmost digit of 3381. Since 47 is a two-digit number, take the first two digits from 3381. Since 47 can be subtracted from '33' zero times, move to the next digit, forming '338'. The first digit of the quotient will be in the hundreds place.
Explanation:To determine where to write the first digit of the quotient when dividing 3381 by 47 without actually performing the division, you can utilize an understanding of place values. Looking at the divisor, 47, it is a two-digit number. Hence, you need a two-digit number or greater from the dividend, 3381, to start the division.
Starting from the leftmost digit (the highest value place), we take the first two digits, which give us '33'. In this case, 47 can be subtracted from '33' only zero times. Therefore, move onto the next digit, forming '338', a 3-digit number. Now, 47 can be subtracted from '338', thus the first digit of the quotient will go in the hundreds place.
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how do I solve -15=-4m+5
The solution to the equation -15 = -4m + 5 is m = 5.
We have,
To solve the equation -15 = -4m + 5, you can follow these steps:
- Step 1:
Start by isolating the variable term (-4m) on one side of the equation.
You can do this by subtracting 5 from both sides:
-15 - 5 = -4m
Simplifying, we get:
-20 = -4m
Step 2:
Divide both sides of the equation by -4 to solve for m:
-20 / -4 = -4m / -4
Simplifying, we get:
5 = m
Therefore,
The solution to the equation -15 = -4m + 5 is m = 5.
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12.75 is 25% of what number
25m/s to miles/h
Can anyone solve it?
With explanation if you can
25 meters per second x 60 seconds = 1500 meters per minute
1500 meters per minute x 60 minutes per hour = 90,000 meters per hour
1 mile = 1609.34 meters
90000/1609.34 = 55.92 miles per hour
round answer to either 55.9 or 56 mph depending on what you need.
Which expression is equivalent to −2.1+(−5.9)+(−3.7) ?
−2.1−(5.9+3.7)
(2.1+5.9)+(−3.7)
(2.1+5.9+3.7)
−(2.1−5.9)+(−3.7)
Option A is correct. The equivalent expression is −2.1−(5.9+3.7)
Given the expression −2.1+(−5.9)+(−3.7)
Before we can determine the equivalent expression, we need to first know that:
- × - = ++ × - = -+ × + =+The given expression then becomes;
−2.1+(−5.9)+(−3.7) = -2.1 - 5.9 - 3.7
Factoring out the negative sign from the last two terms;
-2.1 - 5.9 - 3.7 = -2.1 - (5.9 + 3.7)
Hence the equivalent expression is −2.1−(5.9+3.7)
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(6^3)^2 =
A) 6^1
B) 6^5
C) 6^6
D) 6^9
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathtt{(6^3)^2}\\\\\mathtt{= (6\times6\times6)^2}\\\\\mathtt{= (36\times6)^2}\\\\\mathtt{= (216)^2}\\\\\mathtt{= 216^2}\\\\\mathtt{= 216\times216}\\\\\mathtt{= 46,656}\\\\\mathtt{= 6^6}\\\\\mathtt{= 6\times6\times6\times6\times6\times6}\\\\\mathtt{= 36\times36\times36}\\\\\mathtt{= 1,296\times36}\\\\\mathtt{= 46,656}\\\\\\\huge\text{Therefore your answer should be:}\\\boxed{\mathtt{Option\ C.\ 6^6}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]What’s the answer to this question?
A bear was climbing a tree. It took a few steps forward and then slipped a few steps backward. After taking 12 total steps of equal distance, it was back at its starting position. How many steps did the bear take in the forward and backward directions?
Answer: 6 steps forward and 6 steps backward
Hope this helped :D
Explain how to compare 0.7 and 5/8
An art teacher has 40 paint brushes.she divides them equally among her 4students. She finds8 more brushes and divides these equally among the students, as well. How many brushes does each student receive
Answer: The required number of brushes that each student receive is 12.
Step-by-step explanation: Given that an art teacher has 40 paint brushes.she divides them equally among her 4 students.
She finds 8 more brushes and divides these equally among the students, as well.
We are to find the number of brushes that each student receive.
The total number of brushes that divides among the 4 students is
[tex]n=40+8=48.[/tex]
Since there were 4 students, so the number of brushes that each student receive is
[tex]n_b=\dfrac{n}{4}\\\\\\\Rightarrow n_b=\dfrac{48}{4}\\\\\Rightarrow n_b=12.[/tex]
Thus, the required number of brushes that each student receive is 12.
Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and section B had 20 students who had a mean score of 90. Overall, what was the approximate mean score for all the students on the quiz?
A. 84.3
B. 85
C. none of these
D. cannot be determined
Final answer:
The approximate mean score for all the students on the quiz, calculated by weighing the means by the number of students in each section, is 85.71, which rounds to 86. Thus, the best answer choice (B) from those provided is 85.
Explanation:
To find the overall mean score for all the students on the quiz, we need to weigh the mean scores by the number of students in each section. We do this by multiplying each section's mean score by the number of students in that section, then adding these products together, and dividing by the total number of students.
For Section A: 15 students × mean score of 80 = 1200 total points.
For Section B: 20 students × mean score of 90 = 1800 total points.
The total points for both sections is 1200 + 1800 = 3000 points.
The total number of students is 15 + 20 = 35 students.
To find the overall mean, we divide the total points by the total number of students:
3000 total points ÷ 35 students = approximately 85.71.
Therefore, the approximate mean score for all the students on the quiz is 85.71, which, when rounded to a whole number, is 86. The closest answer choice given is B. 85, so that would be the best selection from the available options.
Which expression is equal to 0: A) -24/6 -4, B) -24/-6 +4, C) 24/6+4, D)-24/-6 -4?
Answer:
The answer is D.
Step-by-step explanation:
First divide:
-24/-6 is 4.
Now you have 4 - 4
subtract:
4-4 = 0.
(2x+3 2/5) + (5x -4/3
My book is 58 pages. I have already read 13 pages. I plan to read 5 pages each day until I finish the book.
Which equation could I use to find how many days (d) it will take to finish reading the book?
A. (58+13)÷5=d
B. (58-5)÷13=d
C. (58-13)÷5=d
D. (58+13)×5=d
Factor the expression x2-6x+9
The factored form of [tex]\(x^2 - 6x + 9\)[/tex] is [tex]\((x - 3)^2\)[/tex].
To factor the expression [tex]\(x^2 - 6x + 9\)[/tex], we'll use a technique called "completing the square."
Write the expression [tex]\(x^2 - 6x + 9\)[/tex].
Identify the perfect square trinomial. Since (9) is a perfect square and (2) times the square root of (9) equals (6), we can rewrite the expression as [tex]\((x - 3)^2\)[/tex].
Check the correctness of your result by expanding [tex]\((x - 3)^2\)[/tex] to ensure it equals [tex]\(x^2 - 6x + 9\)[/tex]. Expanding [tex]\((x - 3)^2\)[/tex] gives us [tex]\(x^2 - 6x + 9\)[/tex], which matches the original expression.
So, the factored form of [tex]\(x^2 - 6x + 9\)[/tex] is [tex]\((x - 3)^2\)[/tex].
The width of a rectangle has been measured as 19.4mm correct to 1 decimal place.
What is the lower bound for the area of this rectangle?
The lower bound of the width of the rectangle is 19.35 mm. Without the length, we cannot determine the exact lower bound for the area of the rectangle. However, if we know the length, we can calculate it by multiplying the length by 19.35 mm.
Explanation:The lower bound of the width of the rectangle, measured to one decimal place, is slightly less than the measured value. Thus, the lower bound of the width would be 19.35 mm (since we are accurate to 1 decimal place). However, without information about the length of the rectangle, we cannot exactly determine the lower bound of the area of the rectangle.
But if we assume the length to be a certain value (let's say 'L'), the lower bound for the area (A) would be the product of this length and the lower bound of the width. So,
A = L*19.35 mm.
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There are 99 males and 121 females participating in a marathon what percent of the participants are females?
Answer: 55%
Work:
99 + 121 = 220
121 / 220 = 0.55 = 55%
Anna made withdrawals from her bank account of $60, $85, and$ 115. Write and solve an addition problem that shows her withdrawals as negative integers.
14 less than 3 times a number is 5 more than half of the number
the vertices of a triangle are A(-2,4), B (1,2), and C(-2,-2). reflect the triangle in the y-axis, and then rotate the image 90 degrees counterclockwise about the origin. what are the coordinates of the image?
The coordinates of the image of triangle ABC are A''(4, -2), B''(2, 1) and C''(-2, -2).
What is rotation rule of 90°?Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x).
Given that, he vertices of a triangle are A(-2,4), B (1,2), and C(-2,-2).
Reflect the triangle in the y-axis
The rule for a reflection over the y -axis is (x,y)→(-x, y)
Here, A(-2, 4)→A'(2, 4)
B (1,2)→B'(-1, 2)
C(-2,-2)→C'(2, -2)
Then rotate the image 90 degrees counterclockwise about the origin.
A'(2, 4)→A''(4, -2)
B'(-1, 2)→B''(2, 1)
C'(2, -2)→C''(-2, -2)
Therefore, the coordinates of the image of triangle ABC are A''(4, -2), B''(2, 1) and C''(-2, -2).
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Rasheed needs to save 231$ To earn money he plans to wash cars and charge $12 per car. Write two estimates Rasheed could use to determine how many cars he needs to wash
solve for A
7a + 2 = 3a + 14
a = ??