A car salesman sells cars with prices ranging from $5,000 to $45,000. The histogram shows the distribution of the numbers of cars he expects to sell over the next 10 years. What is the median of the car price range?
Answers
The correct answer is: C. The median will shift to the right.
Adding 200 cars with prices less than $5,000 will increase the number of cars being sold overall but will not significantly affect the upper end of the price range. Since the added cars are all below $5,000, they will contribute to the left side of the distribution.
As a result, the median, which represents the middle value of the distribution, will shift to the right, reflecting the increase in the number of lower-priced cars being sold.
The mean may or may not be affected, depending on the relative prices of the additional cars compared to the existing distribution, but it's not guaranteed to shift in any particular direction.
Similarly, the median and mean do not necessarily have to be the same, so option B is not accurate. Thus, option C is the most appropriate choice.
Complete question:
Car salesman sells cars with prices ranging from $5,000 to $45,000. The histogram shows the distribution of the numbers of cars he expects to sell over the next 10 years. The salesman has observed that many students are looking for cars that cost less than $5,000. If he decides to also deal in cars that cost less than $5,000 and projects selling 200 of them over the next 10 years, how will the distribution be affected?
A. The mean will shift to the right.
B The mean and the median will be the same.
C The median will shift to the right.
D The mean will shift to the left.
Related Questions
Write the area as a product and as a sum.
Answers
sum: side + side + side + side
The area of the square as a product is a multiplication of the two sides.
What is the area of the square?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.
The square is a quadrilateral having all the sides to be equal and all the angles at 90 degrees. The area of the square will be calculated as,
Area = side x side
Therefore, the area of the square as a product is a multiplication of the two sides.
To know more about an area follow
https://brainly.com/question/25092270
#SPJ5
You roll 2 dice. You can use a tree diagram to calculate the probability that the sum of the dice is an even number. true or false? ...?
Answers
What is 9/2 as a decimal?
Answers
So, your answer is 4.5
Hope it helped.
What is the probability of getting 3 tails when tossing a coin 4 times?
Answers
The probability of getting 3 tails, when tossing a coin 4 times is 25%
To find the probability of getting 3 tails when tossing a coin 4 times, we can use the binomial probability formula:
[tex]\[ P(X = k) = \binom{n}{k} \times p^k \times (1 - p)^{n - k} \][/tex]
Where:
- P(X = k) is the probability of getting exactly k successes (in this case, 3 tails).
- n is the number of trials (coin tosses).
- k is the number of successes we are interested in (in this case, 3 tails).
- p is the probability of success on each trial (in this case, the probability of getting tails).
- [tex]\( (1 - p) \)[/tex] is the probability of failure on each trial (in this case, the probability of getting heads).
Since the coin is fair, the probability of getting tails p is [tex]\( \frac{1}{2} \)[/tex], and the probability of getting heads [tex](\( 1 - p \))[/tex] is also [tex]\( \frac{1}{2} \)[/tex].
Substituting these values into the formula:
[tex]\[ P(X = 3) = \binom{4}{3} \times \left(\frac{1}{2}\right)^3 \times \left(1 - \frac{1}{2}\right)^{4 - 3} \][/tex]
[tex]\[ P(X = 3) = \binom{4}{3} \times \left(\frac{1}{2}\right)^3 \times \left(\frac{1}{2}\right)^1 \][/tex]
[tex]\[ P(X = 3) = 4 \times \left(\frac{1}{8}\right) \times \left(\frac{1}{2}\right) \][/tex]
[tex]\[ P(X = 3) = \frac{4}{16} \][/tex]
[tex]\[ P(X = 3) = \frac{1}{4} \][/tex]
To express the probability as a percentage, we multiply by 100:
[tex]\[ P(X = 3) = \frac{1}{4} \times 100\% = 25\% \][/tex]
Therefore, the probability of getting 3 tails when tossing a coin 4 times is 25%.
"Sarah is renting a car for her weekend trip to the mountains. The total cost of the rental, y, as it relates to the number of miles driven, x, is shown in the graph below.
Fill in the blanks so that the functions below, written to represent this situation, are correct. If necessary, the answer in terms of a decimal, rounded to the nearest hundredth.
f(x)= ______x+________"
Answers
f(x) = 1/4 *x+ 25
f(x) = 0.25x + 25
Hope this is the answer that you area looking for.
Answer:
[tex]f(x)=\dfrac{1}{4}x+25[/tex]
Step-by-step explanation:
Clearly from the graph we could see that it passes through two points (0,25) and (20,30) and also as the graph is linear so with the help of these two points we can find the relation between f(x) and x.
We know that the equation of a line passing through two points (a,b) and (c,d) is given by:
[tex]y-b=\dfrac{d-b}{c-a}\times (x-a)[/tex]
Here we have:
y=f(x) , (a,b)=(0,25) and (c,d)=(20,30).
Hence the equation of this graph is given as:
[tex]f(x)-25=\dfrac{30-25}{20-0}\times (x-0)\\\\f(x)-25=\dfrac{5}{20}\times x\\\\f(x)-25=\dfrac{1}{4}\times x\\\\f(x)=\dfrac{1}{4}x+25[/tex]
Hence,
[tex]f(x)=\dfrac{1}{4}x+25[/tex]
Algebraic terms are separated by ______.
Choose all that apply.
1)=
2)+
3)x
4)÷
5)-
Answers
In algebra, terms are separated by addition (+), subtraction (-), multiplication (x), and division (÷) symbols. The equals (=) sign is used to show equality, not to separate terms.
Explanation:In the realm of mathematics, particularly in algebra, algebraic terms are separated by addition (+), subtraction (-), multiplication (x), and division (÷) symbols. These operations are the main components that allow us to manipulate and solve algebraic expressions and equations. For example, in the expression 3x - 2y + 5z, the terms (3x, 2y, 5z) are separated by subtraction (-) and addition (+) symbols. Please note that the equals (=) sign does not separate terms; rather, it is used to show the equality between two mathematical expressions.
Learn more about Algebraic Terms here:https://brainly.com/question/33577799
#SPJ11
Final answer:
Algebraic terms are separated by plus (+) and minus (-) signs, which denote addition or subtraction between terms in an expression.
Explanation:
Algebraic terms are separated by plus (+) and minus (-) signs.
These signs denote addition or subtraction between terms in an algebraic expression.
While the multiplication sign (x) and division sign (÷) indicate operations between terms, they do not separate independent terms within an expression.
For instance, in the expression 2x + 3y - 5z, the plus and minus signs separate the terms 2x, 3y, and 5z.
2. Construct a line that is perpendicular to line m and that passes through point P.
Answers
(Apologies since this is extremely late; hopefully this helps future people who need help with this question.)
Answer:
The image below would be the correct construction :)
what are the 12 numbers of pi
Answers
if i helped can you mark me as brainliest answer please
3.141592653589
i need 20 characters
What is the absolute value of -5.75 ?
Answers
absolute value measures how far away a value is from 0 on a number line. |1| and |-1| both have an absolute value of 1, because if you graphed them on a number line you'd see that they're both 1 unit away from 0. although -5.75 would be on the left, or negative side, of the 0 on a number line, it is still exactly 5.75 units away, and that's what absolute value measures.
Assuming x > 0, which of these expressions is equivalent to 11 times the square root of 245 x to the third plus 9 times the square root of 45 x to the third? ?
5 x times the square root of 104 x
20 times the square root of 290 x to the sixth
20 x times the square root of 290 x
104 x times the square root of 5 x
Answers
11 times the square root of 245 x to the third plus 9 times the square root of 45 x to the third is:
[tex]11 \sqrt{245 x^{3} } +9 \sqrt{45 x^{3} } =11 \sqrt{245} *\sqrt{ x^{3} } +9 \sqrt{45} *\sqrt{ x^{3} }= \\ \\ =11 \sqrt{5*49} * \sqrt{ x^{2} *x} +9 \sqrt{5*9} * \sqrt{ x^{2} *x}= \\ \\ =11* \sqrt{5} * \sqrt{49} * \sqrt{ x^{2}} * \sqrt{x} +9* \sqrt{5} * \sqrt{9} * \sqrt{ x^{2} }* \sqrt{x} = \\ \\ =11* \sqrt{5} *7*x* \sqrt{x} +9* \sqrt{5} *3*x* \sqrt{x} = \\ \\ =77x* \sqrt{5*x} +27x* \sqrt{5*x} = \\ \\ =77x \sqrt{5x} +27x \sqrt{5x} = \\ \\ =104x \sqrt{5x} [/tex]
11√(245x³) + 9√(45x³)
11√(7² * 5 * x² * x) + 9√(3² * 5 * x² * x)
77x√(5x) + 27x√(5x)
104x√(5x)
104x times the square root of 5x
The last option is correct.
Which set of ordered pairs represents y as a function of x?
{(5, 4), (2, 3), (1, 1), (2, 4)}
{(-9, 2), (0, 6), (1, -2), (0, 6)}
{(3, 2), (-4, -2), (3, 1), (-4, 1)}
{(-1, 0), (4, 3), (-7, -3), (-1, -8)}
Answers
this will be the answer
{(5,4), (2,3, ( 1,1), (2,4)}
because (1,1), the 'x' and 'y' are the same.
Round 0.978 to the nearest tenth
Answers
Answer correctly for brainliest and also get a thanks ! Don't answer if you don't know it please !
Answers
First, you have to find the area of the rectangle. I guess, just now,
that means the one who has to do that is me.
We know that it's a rectangle, because they told us so.
The corners are located at
(1, 4)
(4, 7)
(8, 3)
and
(5, 0).
Do you remember how to find the distance between 2 points ?
Distance = √ (difference-in-'x' ² + difference-in-'y' ²)
The distance between the first 2 points is √(3² + 3²) = √18
The distance between point-2 and point-3 is √(4² + 4²) = √32
The distance between point-3 and point-4 is √(3² + 3²) = √18
The distance between point-4 and point-1 is √(4² + 4²) = √32 .
Notice that it wasn't really necessary to find all four distances.
As soon as I found the first two distances, I knew that one is the length
of the rectangle and the other one is the width of the rectangle, so I didn't
have to bother finding the other two, because I knew that they would be
the same as the first two. I just did it anyway, to make SURE that they
were the same. That helped me be sure that I didn't make any mistakes.
So here we are, outstanding in our field. (Actually, in Ms. Stone's field.)
We have a rectangle with a length of √32 units and a width of √18 units.
The area of any rectangle is (length) · (width)
= (√32 units) · (√18 units)
= √(32 · 18) units²
= √ (576) units²
= 24 units² .
We also know that each square unit on the map indicates 16 acres.
So the actual area of the field is
(24 units²) · (16 acres/unit²) = 384 acres .
Ms. Stone sold the field for $858,240 .
The unit sale price was
($858,240) / (384 acres) = $2,235 / acre .
Ms. Stone can now move into the city and live the life of a rich lady.
Sandra rode her bike 5 times as many miles as Barbara. If b, the distance Barbara rode, equals 3.4 miles, what is the correct expression and distance Sandra rode?
a) b+5; when b=3.4, the distance Sandra rode is 17 miles.
b) 5b; when b=3.4, the distance Sandra rode is 17 miles.
c) 5b; when b=3.4, the distance Sandra rode is 8.4 miles.
d) b+5; when b=3.4, the distance Sandra rode is 8.4 miles.
Answers
Answer:
Option b is correct
5b; when b = 3.4 miles , the distance Sandra rode is 17 miles
Step-by-step explanation:
Here, b represents the distance Barbara rode.
As per the statement:
Sandra rode her bike 5 times as many miles as Barbara.
⇒[tex]\text{Distance Sandra rode} = 5b[/tex] miles ....[1]
It is also given that:
the distance Barbara rode, equals 3.4 miles
⇒[tex]b = 3.4[/tex] miles
Substitute in [1] we have;
[tex]\text{Distance Sandra rode} = 5(3.4)=17[/tex] miles
Therefore, the correct expression and distance Sandra rode is
5b ; when b = 3.4 miles , the distance Sandra rode is 17 miles
A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm. The dimensions of the smaller prism are each multiplied by what factor to produce the corresponding dimensions of the larger prism?
Answers
You can calculate this by taking the length of the similar prism and divide it with the first prism 14.7/4.2 = 3.5
Do this with the width and height to be sure
20.3/5.8 = 3.5
33.6/9.6 = 3.5
Answer:
its (c) 3 1/2
Step-by-step explanation:
A "bit" is 1/8 of a dollar. How many bits are in a dollar.
Answers
There are 8 bits in a dollar.
We have,
If a "bit" is defined as 1/8 of a dollar, we can calculate the number of bits in a dollar by dividing the dollar amount by the value of a bit.
1 dollar / (1/8) bit = 1 dollar * (8/1) bit
Simplifying the equation:
1 dollar * 8 bits = 8 bits
Therefore,
There are 8 bits in a dollar.
Learn more about unit conversion here:
https://brainly.com/question/13899873
#SPJ6
What is 5 3/20 as a decimal?
Answers
What is the factor of 40?
Answers
Which lines are parallel if m4 = m5? Justify your answer.
Answers
Answer:
r and s are parellel
Step-by-step explanation:
The correct answer is that lines 4 and 5 are parallel if [tex]\( m_4 = m_5 \).[/tex]
To justify this answer, we must understand the concept of slope in the context of lines in a plane. The slope of a line, denoted by m is a measure of its steepness and is defined as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line. Mathematically, if two points on a line have coordinates [tex]\( (x_1, y_1) \)[/tex] and [tex]\( (x_2, y_2) \),[/tex] then the slope m is given by: [tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex] For two lines to be parallel, they must have the same slope. This is because parallel lines have the same steepness and never intersect. Therefore, if the slope of line 4, [tex]\( m_4 \)[/tex], is equal to the slope of line 5, [tex]\( m_5 \)[/tex], then lines 4 and 5 are parallel. In mathematical notation, if [tex]\( m_4 = m_5 \),[/tex] then line 4 and line 5 are parallel, which can be written as: [tex]\[ m_4 = m_5 \Rightarrow \text{Line 4} \parallel \text{Line 5} \][/tex] This conclusion is based on the fundamental properties of slopes and parallel lines in Euclidean geometry. If the slopes of two lines are equal, it means that they rise and run at the same rate, and thus, they will maintain a constant distance from each other, never intersecting, which is the definition of parallel lines.
I do not understand how to do this problem please help!
6. Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.
The first month they made 1200 and the second month they made 1500...
graph a line using the slope-intercept form:
Manipulate the equation into slope-intercept form, y = mx + b.
Identify and plot the y-intercept of the line. Remember, the y-intercept is b. Don't forget: The sign goes with the number.
Identify and use the slope of the line to find a second point. Remember, the slope is m. Don't forget: Starting at the y-intercept, the numerator tells you the rise (count up if positive and down if negative), the denominator tells you the run (count right.)
Draw a straight line through the two points to complete the graph.
Linear Functions:
A linear function is a function that is defined by a linear equation.
To write a linear function with function notation, first write it in slope-intercept form, and then replace y with f(x).
The graph of a linear function is all points (x, f(x)), where x is in the domain of the function.
Answers
I hope it helps.
A computer virus is eating disk space. during the first day it eats 1/2 of the disk. during the second day, it eats 1/3 the remaining disk space. the third day it eats 1/4 of what still remains and the fourth day it eats 1/5 of what is left. what fraction of the original disk space remains intact?
Answers
Given D = 5, E = 10 and F = 4, evaluate
D*E/F
...?
Answers
5*10/4
5*10=50
50/4= 12.5
ANSWER: 12.5,
If i helped, please press "THANKS" button. It will make me happy :D
D*E/F = 12.5
A recent poll asked 82 college students 7 questions about their experience at college. When asked their age only 58 responded.
A. Self interest
B. Correlation and casualty
C. Loaded questions
D. Nonresponse
Im stuck between self interest or Nonresponse
Answers
Its improbable that half the population didn't respond due to self-interest.
Nonresponse. The others might occur, but with this degree of nonresponse inferences to the entire population cannot be made.
the lines below are parallel. if the slope of the green line is -3, what is the slope of the red line
Answers
There are $3.90 worth of nickles and quarters in a piggy bank. There are 6 more quarters than nickels.
How many of each coin are in the piggy bank?
Enter your answers in the boxes.
_____ nickels and ____ quarters
Answers
For this case, the first thing we must do is define variables.
We have then:
x: number of nickles
y: number of quarters
We now write the system of equations.
We have then:
[tex] 0.05x + 0.25y = 3.90
y = x + 6
[/tex]
Solving the system of equations graphically we have:
[tex] x = 8
y = 14
[/tex]
Answer:
8 nickels and 14 quarters
Note: see attached image for the graphic solution.
Answer: There are 8 nickels and 14 quarters.
Explanation:
Since we have given that
there are $3.90 worth of nickles and quarters in a piggy bank.
Let the number of nickles be x
Let the number of quarters be x+6
As we know that
[tex]1\ nickle=0.05\ dollars\\\\and\\\\\ 1\ quarter=0.25\ dollars[/tex]
According to question,
[tex]0.05x+0.25(x+6)=3.90\\\\0.05x+0.25x+1.5=3.90\\\\0.3x=3.90-1.5\\\\0.3x=2.4\\\\x=\frac{2.4}{0.3}=8\\\\and \\\\x+6=8+6=14[/tex]
Hence, there are 8 nickels and 14 quarters.
Show that f is strictly monotonic on the given interval and therefore has an inverse function on that interval: f(x) = cot(x), (0,pi)
Answers
Hope This Helped!!! :)
To show that f(x) = cot(x) is strictly monotonic on the interval (0,pi), we need to show that the derivative of f(x) is either strictly positive or strictly negative on that interval.
Explanation:To show that f(x) = cot(x) is strictly monotonic on the interval (0,pi), we need to show that the derivative of f(x) is either strictly positive or strictly negative on that interval.
The derivative of f(x) can be found using the chain rule as follows:
Find the derivative of cot(x): d(cot(x))/dx = -csc^2(x)Since f(x) = cot(x), the derivative of f(x) is -csc^2(x).Now, let's consider the interval (0,pi). The function f(x) = cot(x) is defined on this interval, and its derivative -csc^2(x) is strictly negative for all x in (0,pi). Therefore, f(x) is strictly decreasing on the interval (0,pi), which means it is strictly monotonic.
Since f(x) is strictly monotonic on the interval (0,pi), it has an inverse function on that interval. The inverse function of f(x) is denoted as f^{-1}(x).
Learn more about Monotonic here:https://brainly.com/question/32525352
#SPJ2
Which power has a value of 1?
Choose all the correct answers.
1^4
2^3
3^2
4^1
5^0
Answers
5^0=1
1^n=1
answer is 1^4 and 5^0
why do bees have sticky hair
Answers
Answer:
From the honey, and pollen
Step-by-step explanation:
p² 13p=-30 menentukan nilai p
Answers
HELP PLEASE?! I'm very bad at math and I need help with this question please.
What is the value of y in the equation 6 + y = −3?
A.) −9
B.) −3
C.) 3
D.) 9
Answers
What the goal is is to get y by itself, right? Then u would have y = blank and thats what u need because ur trying to find y. So to get y alone and have that y = blank, u can "balance the equation." That means if u add something on the left side of the equation (before the equal sign) u have to add it to the right. Same with subtraction. In this equation, u would subtract 6 from both sides so there would be no 6 left on the left and a 6 on the right instead. ask me questions if u need more help! :)