A survey in 2012 indicated that college freshmen carry a mean credit card debt of $611 but the median of their credit card debt is $47. Create a data set of five freshmen students so that the data set has a mean and median that is the same as that of the surveyed college freshmen. , , , ,
Answers
Answer:
$27, $30, $47, $1093, $1851
Step-by-step explanation:
The median is the middle number and the mean is the average. When averaging all the numbers above, you get 611 and the middle number is 47.
The possible data set is $27, $30, $47, $1093, and $1851.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
To create a data set of five freshmen students with the same mean and median as the surveyed college freshmen:
Arrange the five numbers in ascending order to create the data set.
For example, one possible data set is:
$27, $30, $47, $1093, $1851
The mean of this data set is (28+ 40 + 47 + 1090 + 1850) / 5 = $611, which is the same as the mean of the surveyed college freshmen.
The median of this data set is 47, which is also the same as the median of the surveyed college freshmen.
Therefore, $27, $30, $47, $1093, and $1851 are the points of the data set.
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Related Questions
3452 students were polled asking who they supported for student body president, 37% support jill steins. 35% support gray johnson. the add 28% is spread out among 42 other 3rd party candidates none of which are polling greater than 2%. working with a 95% confidence level, estimate the margin of error:
Answers
Step-by-step explanation:
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Answer:
Solution: Formula for margin of error is given as below: Margin of error = Z* sqrt(P*(1 P)/n) We are given Confide
How far up a wall will a 13-meter ladder reach, if the foot of the ladder is 6 meters away from the base of the wall?
A. 12 m
B. 4 m
C. 133 m
D. 245 m
Answers
Answer: C
Step-by-step explanation: I took the test!!
The required distance that the ladder foot away from the base of the wall is √133 meters. Option C is correct.
What are Pythagorean triplets?In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.
Here,
Let the base length be x,
According to the question, a 13-meter ladder reach, the foot of the ladder is 6 meters.
So, applying the Pythagoras theorem,
13² = 6² + x²
x = √169 - 36
x = √133
Thus, the required distance that the ladder foot away from the base of the wall is √133 meters.
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As part of a survey, 2400 people were asked to name their favorite sport to watch. The table below summarizes their answers. This information is also presented
as a circle graph.
Find the central angle measure, x, for the Baseball slice in the circle graph. Do not round.
Sport
Football
Soccer
Baseball
Basketball
Hockey
Other
Percentage
of People
29%
9%
14%
8%
8%
Soccer
Baseball
Basketball
Football
Other
Hockey
Answers
The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.
Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:
Football 29%
Soccer 9%
Baseball 14%
Basketball 8%
Hockey 8%
Other 32%
We need to find the central angle measure, x, for the Baseball slice in the circle graph.
For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:
Central angle measure = (Percentage/100) × 360°
Now, using the above formula, we can calculate the central angle measure for each sport as shown below:
Football: (29/100) × 360° = 104.4°
Soccer: (9/100) × 360° = 32.4°
Baseball: (14/100) × 360° = 50.4°
Basketball: (8/100) × 360° = 28.8°
Hockey: (8/100) × 360° = 28.8°
Other: (32/100) × 360° = 115.2°
The sum of all central angle measures should be 360°, which is the measure of a full circle.
So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°
We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.
Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.
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how are result this fraction 3/5(4x+1)=3(2-4x)+9 is equal to
Answers
The value of x in the equation 3/5(4x+1)=3(2-4x)+9 is
What is algebraic equation?Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root. Examples are x3 + 1 and (y4x2 + 2xy – y)/(x – 1) = 12.
3/5(4x+1)=3(2-4x)+9
multiply through by 5
3( 4x+1) = 15(2-4x) + 45
12x +3 = 30-20x +45
collect like terms
12x+20x.= 30+45-3
32x = 72
x = 72/32
x = 2 8/32
x = 2 1/4
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A figure is created by using four semicircles and a rectangle. which is closest to the area of the figure?
Answers
Step-by-step explanation:
area of rrctangle:
12×8= 96cm²
now if rectangle dissapears and then we "glue" what's left, we gonna get two circles
area of circle which gas diameter of 12cm( so radius will be 6cm)will be
πr²=36π≈113.04
another circles radius is 4cm,so area is:
16π≈50.25
sum of all areas: S≈96+113.04+50.25≈259.28cm2
Thelma served five pieces of
a pie. The pie was cut into eighths. What
fraction of the pie did she serve? Write
a multiplication equation using a unit
fraction to represent the information.
Answers
The fraction of the pie that she served is given as follows:
5/8.
How to obtain the fraction?The fraction of the pie that she served is obtained applying the proportions in the context of the problem.
A fraction is a way of expressing a part of a whole or a ratio between two quantities. It represents a number that is not a whole number and is usually written in the form of a numerator over a denominator.
The parameters for the fraction are given as follows:
Thelma served five pieces of a pie, hence the numerator is of 5.The pie was cut into eighths, hence the denominator of the fraction is of 8.Then the fraction is given as follows:
5/8.
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Need help on this please! (Will mark brainliest)
Answers
Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000. What was the return on his $675,000 investment? (Negative amount should be indicated by a minus sign. Enter your answer as a percent rounded to 2 decimal places.)
Answers
The return on his $675,000 investment is 3.57%.
Given that, Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000.
We need to find the what was the return on his $675,000 investment.
What is the return on investment?Return on investment or return on costs is a ratio between net income and investment.
Now, return=700,000-675,000=$25000
Return in percentage=25000/700000×100=3.571%
=3.57%
Therefore, the return on his $675,000 investment is 3.57%.
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8 is greater than or equal to a number m
Answers
What is the perimeter of the rectangle with length of 2x + 3 and width of 5x – 5? Explain your process to find the perimeter.
Answers
Answer:
14x-4
Step-by-step explanation:
length:2x+3
width:5x-5
perimeter of rectangle:2(l+b)
:2(2x+3+5x-5)
:2(7x-2)
:14x-4
•••The perimeter of rectangle(p)=14x-4
Simplify each expression. Your answer should contain only positive exponents. 2^−1− 1/3^−3 +5( 1/2^2 )
Answers
The simplified exponential expression is given as follows:
-101/4.
How to simplify the expression?The exponential expression for this problem is defined as follows:
2^(-1) - (1/3)^(-3) + 5(1/2)².
The negative exponent means that the numerator and the denominator of the fractions are exchanged, and then the exponent becomes positive, as follows:
2^(-1) = (1/2)^1 = 1/2.(1/3)^(-3) = 3^3 = 27.Simplifying these negative exponents, the expression is then given as follows:
1/2 - 27 + 5(1/2)².
When a fraction is elevated to an exponent, both the numerator and the denominator are elevated to this exponent, hence:
(1/2)² = 1²/2² = 1/4.
Then the simplified expression is obtained as follows:
1/2 - 27 + 5/4 = (2 - 108 + 5)/4 = -101/4.
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which is the largest interval over which the function shown in the table is increasing?
x y=-- x2 ?
-4
-8
-
-2
-2
(x, y)
(-4,-8)
(-2,-2)
(0,0)
(2.-2)
(4.-8)
0
NO
-2
4
-8
O
A. x < -2
O B. x<0
C. X>0
D. X> 2
Answers
Answer:
x < 0
Step-by-step explanation:
If you were to graph the function, you would get a parabola that opens down with the vertex at (0, 0). So, the graph is increasing from -∞ to 0.
Is 64x15=32x30 true or false
Answers
the equation is true,
the answer is 960
64x15 = 960
32×30= 960
One number is 8 more than another. Their product is -16.
Answers
Answer:
The two numbers are 4 and -4
Step-by-step explanation:
Turn the words into equations: let's assign one number to be x and the other to be y
x+8=y
x*y=-16
To solve, substitute the value of y in the first equation into y in the second equation.
This gives x*(x+8)=-16
Simplifying gives x^2+8x=-16
x^2+8x+16=0
(x+4)^2=0
x=-4
plug this value of x back into the first equation, -4+8=y, y is 4
Now to make sure the answer is correct: 4 is 8 more than -4, and 4*-4 does equal 16
Which is the graph of the function y = 3x?
Answers
The graph would look like the picture above.
Rise 3, Run 1
The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.
A box plot uses a number line from 5 to 47 with tick marks every one unit. The box extends from 8 to 14 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 45. The graph is titled Mr. Johnson's Class, and the line is labeled Number Of Pencils.
A box plot uses a number line from 0 to 51 with tick marks every one unit. The box extends from 12 to 21 on the number line. A line in the box is at 14.5. The lines outside the box end at 0 and 50. The graph is titled Mr. Simpson's Class, and the line is labeled Number Of Pencils.
Which class lost the most pencils overall based on the data displayed?
Mr. Simpson's class; it has a larger median value 14.5 pencils
Mr. Johnson's class; it has a larger median of 11 pencils
Mr. Simpson's class; it has a narrow spread in the data
Mr. Johnson's class; it has a wide spread in the data
Answers
Answer:
A) Mr. Simpson's class; it has a larger median value 14.5 pencils.
Step-by-step explanation:
A box plot is a visual display of the five-number summary:
Minimum value = The value at the end of the left whisker.Lower quartile (Q₁) = The left side of the box.Median (Q₂) = The vertical line inside the box.Upper quartile (Q₃) = The right side of the boxMaximum = The value at the end of the right whisker.From inspection of the box plots (attached), the measures of central tendency (median) and dispersion (range and IQR) are:
Mr Johnson's class:
Median = 11IQR = Q₃ - Q₁ = 14 - 8 = 6Range = max - min = 45 - 7 = 38Mr Simpson's class:
Median = 14.5IQR = Q₃ - Q₁ = 21 - 12 = 9Range = max - min = 50 - 0 = 50In a box plot, the median is a measure of central tendency and tells us the location of the middle value in the dataset. It divides the data into two equal halves, with 50% of the values falling below the median and 50% above it.
The median number of pencils lost in Mr Simpson's class is greater than the median number of pencils lost in Mr Johnson's class. Therefore, Mr. Simpson's class has a larger median value.
The spread of data in a dataset can be measured using both the range and the interquartile range (IQR).
As Mr Simpson's class has a greater IQR and range than Mr Johnson's class, the data in Mr Simpson's class is more spread out than in Mr Johnson's class.
In summary, as Mr Simpson's class has a larger median 14.5 and a wider spread of data, then Mr Simpson's class lost the most pencils overall.
How to solve adjacent angles?
Answers
Answer:
D
Step-by-step explanation:
1 + 4x and 57° are corresponding angles and are congruent , so
1 + 4x = 57 ( subtract 1 from both sides )
4x = 56 ( divide both sides by 4 )
x = 14
4 | -7 - 2 |
helppppppppppppppp
Answers
Answer:
Step-by-step explanation:
4(-7-2)
= 36
A box of cards contains 7 thank you cards, 4 birthday cards, 3 blank cards and 2 get well
cards. What is the ratio of birthday cards to thank you cards?
Answers
Answer:
Hii!
Birthday cards = 4
Thankyou cards = 7
So The answer might be
4 : 7
What is a number c decreased by 15?
(Only people who are going to answer the question truly are only allowed to comment)
Answers
Answer:
C - 15
Step-by-step explanation:
"Decreased by" means subtraction. We are subtracting 15 from C so the answer is C - 15. Hope this helpssss
A dry cleaning shop has the following offers.
Suit
Normal price £12.50
1st suit normal price
2nd suit half price
Work out the total price for 2 suits and 6 dresses.,
Dress
Normal price £9.75
Three for the price of two
Answers
The total price for 2 suits and 6 dresses is £57.75
What is price of two suits?
The price of two suits is the sum of the normal price for the first suit and the half the normal price for the second suit
Price of two suits=£12.50+(1/2*£12.50)
Price of two suits=£12.50+£6.25
Price of two suits=£18.75
What is 6 dresses ?
The price of 6 dresses is twice the price of 2 dresses, I mean since three dresses are priced at the price of two dresses, it means 6 dresses are priced at the price of four dresses
price of 6 dresses=£9.75*4
price of 6 dresses=£39.00
Price of total price for 2 suits and 6 dresses=£18.75+£39.00
Price of total price for 2 suits and 6 dresses= £57.75
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which fraction is equal to 15%
Answers
Answer:
15/100 this is the fraction for 15%
Which description best fits the graph?
Answers
Answer:
decreasing, then increasing
Answer:
always increasing
Step-by-step explanation:
i did the iready lesson
it take nadia 4/9 h to complete her language arts homework and 2/9 h to complete her mathematic homework.Which takes longer? How much longer?
Answers
Mathematic homework takes longer. It takes 2/3 h longer than language arts homework. Mathematic homework takes longer to complete than language arts homework. We can compare these two fractions by converting them to the same denominator.
Language arts homework: 4/9 h
Mathematic homework: 2/9 h
We can compare these two fractions by converting them to the same denominator.
Language arts homework: 4/9 h = 8/18 h
Mathematic homework: 2/9 h = 4/18 h
Mathematic homework takes 2/3 h longer than language arts homework.
Mathematic homework takes longer than language arts homework, by 2/3 h.
Mathematic homework takes longer to complete than language arts homework. We can compare these two fractions by converting them to the same denominator. Language arts homework takes 4/9 h, or 8/18 h, while mathematic homework takes 2/9 h, or 4/18 h. Mathematic homework takes 2/3 h longer than language arts homework. This means that mathematic homework takes more time to complete than language arts homework, by 2/3 h.
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Select all that apply
Answers
Answer: integer and rational
Step-by-step explanation:
Solve for the value of x
Answers
Answer:
x = 8
Step-by-step explanation:
The angle with the expression in it is complementary to the 30° angle, so is 60°. Then we have ...
4 +7x = 60
7x = 56 . . . . . . subtact 4
x = 8 . . . . . . . . .divide by 7
Solve these problems.
Answers
The solutions will be (x-2)(x+1), (3x+5)(5x+2) and (x+1)(x-1) respectively using factorization.
What is factorization?A number or other mathematical object is factorized or factored in mathematics by writing it as the product of numerous factors, typically smaller or simpler things of the same kind.
18) 8x³-8x²-16x = 0
Taking 8x common we get,
8x(x²-x-2) = 0
x²-x-2 = 0×8x
x²-(2-1)x-2 = 0
x²-2x+x-2 = 0
x(x-2)+1(x-2) = 0
(x-2)(x+1) = 0
Hence, the factors are (x-2)(x+1).
19) 15x³+31x²+10x = 0
Taking x as common as we get,
x(15x²+31x+10) = 0
Factorize 15x²+31x+10=0
15x²+(25+6)x+10=0
15x²+25x+6x+10=0
5x(3x+5)+2(3x+5)=0
(3x+5)(5x+2)=0
Hence the factors are (3x+5)(5x+2).
20) x³-x=0
Taking x as common as we get,
x(x²-1)=0
x²-1=0
(x+1)(x-1)=0
Hence the factors are (x+1)(x-1).
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HELPPP!!!!!
A sample of an unknown liquid has a volume of 24.0 mL and a mass of 6 g. What is its density? Show your work or explain how you determined this value. (4 points)
Answers
Answer:
0.25 g/mL
Step-by-step explanation:
d=m/v
6 g / 24 mL
0.25 g/mL
both (g) and mL were only used once so the answer includes both of them
help, this is hard, please help
Answers
Answer:
Input 4 , Output 6
Input 2 , Output 5
Input 6 , Output 2
Input 1 , Output 0
Step-by-step explanation:
The input is the X, The output is the Y.
Input : 2 Output : 5
Input : 6 Output : 2
Input : 1 Output : 0
Explanation:
Look at the graph! The number in the bottom is the input, the number on the left top is output. You go over to input 4 and go up until you reach the point. You should get 6. Therefor, the output is 6! Same goes with the other ones.
Create an equation with one solution of x = −7.
10x − (x − 40) = 2x − ( missing number here + x)
Answers
