Draw a histogram and a box-and-whisker plot to represent the combined data, and answer the questions. Be sure to include the new graphs as part of your final submission.
How do the graphs of the combined data compare to the original graphs?
Compared to the original graphs, do the new graphs make it easier or more difficult to estimate the price of a book?
Answers
The new graphs would make it more difficult to estimate the price of a book.
How to create the combined graph?To do this, we simply combine the frequencies on Felix and Tyler's table.
When this is done, we have the following dataset
3,3,3,3,3,3,3,3,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7, 8,8,8,8,9,9,9,9,9,9,9,9,9,11,11,13,13,13,13,15,15,15,16,16,18,18,18,18,18,19,19,19,19,19,19,29,32,32,36,36,36,38,38,64,64,66,66,66,68,68,69,75,75,76,76,76,76,76,78,78,79,82,82,86,86,86,89,96,96,97,97,99
Next, we create the box & whisker plot and the histogram using the new dataset
(see attachment for the graphs)
The new graphs would make it more difficult to estimate the price of a book.
This is so because the dataset used to create the graphs do not come from the same source
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Related Questions
PLS HELP WITH THIS ILL GIVE BRAINLIEST
Answers
Answer:
bbStep-by-step explanation:
The vertex and direction of opening can be read from the vertex-form equation of a quadratic.
Direction of openingConsider the "parent" quadratic function ...
y = x²
For this function, the value of y cannot be negative. Larger positive values of x will give larger positive values of y. And, negative values of x that have greater magnitude (are farther from the y-axis) will also give larger positive values of y.
This means that the farther away from the y-axis an x-value is, the farther away from the x-axis is the corresponding y-value. The graph of this is said to "open upward." This will be the case for any positive coefficient of x². (Red graph in the first attachment.)
If the coefficient of x² is negative, then larger-magnitude x-values result in more negative y-values. This makes the graph "open downward." (Blue graph in the first attachment.)
VertexThe vertex form of a quadratic equation is ...
y = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'
The value of 'a' is the coefficient of the x² term when this is simplified to standard form: y = ax² +bx +c. That is, the sign of 'a' tells you whether the graph opens upward (a > 0) or downward (a < 0).
The other constants in the vertex form equation tell you how the function has been translated. The value of k is a vertical translation quantity. Since it is added to each function value, it tells the number of units the function is translated upward.
The value h is a horizontal translation quantity. It seems slightly counter-intuitive that the function graph is translated to the right h units when h is subtracted from the x-value. That is the case.
As you may have noticed from the graphs in the first attachment, the vertex (turning point) of the parent function graph is at (x, y) = (0, 0). The vertex of the function ...
y = a(x -h)² +k
is located at (x, y) = (h, k).
1.You want the opening direction of y = -2(x +3)² -1. You need look no further than the leading minus sign. It tells you the graph opens downward. (Red graph in the second attachment.)
Of course, the -1 at the end of the equation is the vertical translation of the vertex. That vertex is (-3, -1), as shown by the graph.
2.You want the vertex of y = -1/2(x +5)² +7. Writing this so the binomial term has a minus sign, we have ...
y = -1/2(x -(-5))² +7
Comparing this to the vertex form ...
y = a(x -h)² +k
we identify the parameters to be ...
a = -1/2 . . . . opens downward
h = -5
k = 7 . . . . the vertex is (h, k) = (-5, 7)
The graph is the blue graph in the second attachment. It opens downward and has its vertex at (-5, 7).
__
Additional comment
A lot of math is about matching patterns. Here, you're asked to match the given equations to the "vertex form" pattern, and identify corresponding parts of the pattern: the leading coefficient (a), the horizontal translation (h), and the vertical translation (k). Once you know what the parts of the pattern mean, you can answer the questions easily.
Help me with this question please!! :)
Answers
Answer:
60 ways
Step-by-step explanation:
combination C 4 and 6= (6*5*4*3)/1*2*3=360/6=60 ways
I need help with my homework
Answers
The required points of x where the slope of tangent and secant is equal at boundary points 4 and 9.
Slope is defined as the rate of change or angle at which curve is having inclination or declination.
Since, the curve of 1/2√x defined for interval [4,9]
The curve is of increasing order so the tangent and secant having equal slope only possible at the boundaries of the curve.
Boundary conditions = (4,1) and (9, 1.5)
Equation can be given as,
y = 0.1x + 0.5
Thus, the required points of x where the slope of tangent and secant is equal at boundary points 4 and 9.
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Anne has n pairs of shoes, and Fiona has 3 times as
many pairs of shoes. If Fiona gives Anne 6 pairs of
shoes, the girls will have an equal number of shoes.
How many pairs of shoes did Anne have originally?
Answers
Answer:
Anne has n
Fiona has 3n
3n=6
so n=2
so Anne have 2
Find any stationary points of the graph of [tex]y = 2x^2 + e^-x^4[/tex]
Answers
[tex]y = 2x {}^{2} + e {}^{ - x {}^{4} } [/tex]
[tex] \frac{dy}{dx} = 4x +( e {}^{ - x {}^{4} } )( - 4x {}^{3} )[/tex]
[tex] \frac{dy}{dx} = 4x - 4x {}^{3} e { }^{ - x {}^{4} } [/tex]
[tex] \frac{dy}{dx} = 4x(1 - x {}^{2} e {}^{ - x {}^{4} } )[/tex]
[tex] \frac{dy}{dx} = 0 \\ 4x = 0 \: \: \: \: \: 1 - x {}^{2} e {}^{ - x {}^{4} } = 0[/tex]
[tex]4x = 0 \\ x = 0 \: \: \: \: \: \: y(0) = 0 + e {}^{0} = 1[/tex]
[tex] \frac{x {}^{2} }{e {}^{x {}^{4} } } = 1 \\ x {}^{2} = e {}^{x {}^{4} } \\ 2ln(x) = x {}^{4} \\ these \: 2 \: functions \: do \: not \: intersect[/tex]Stationary point ( 0 , 1 )MATH: GRAPHS AND FUNCTIONS...HELP!
Answers
Solution: Check the picture I uploaded.
Patricia's garden is surrounded by a fence. What is the perimeter of the
fence?
Answers
Answer:
The perimeter of the garden is [tex]12a[/tex].
Step-by-step explanation:
[tex]3a+14+4(a-6)+10+5a=12a[/tex]
c = √a² + b². This is the formula for the length of the hypotenuse c of a right triangle. Solve this formula for a.
Answers
Answer:
a = sqrt(c^2 - b^2)
see image.
Step-by-step explanation:
If you square both sides of the equation, you get the Pythagorean Theorem back again.
c = sqrt(a^2 + b^2)
c^2 = a^2 + b^2
Solve for a means to get a all by itself on one side of the equation. Subtract b^2 and then take the square root. See image.
What is Pythagorean Theorem?
The Pythagorean Theorem is an evidence-based theory that in a right triangle, the two smaller sides (when squared), or what we call legs, add up to the biggest side (squared), which is what we identify as the hypotenuse. I’ll show an example because for some, it is better to show than verbally explain.
Let’s say I have the measurements 5 squared, 12 squared, and 13 squared. The hypotenuse here would be 13 squared because it is the largest side. This is important to look for when solving Pythagorean Theorem problems because if done incorrectly, you will come out with the wrong answer. Now that we know 13 squared is our hypotenuse, or c squared, we know that a squared (5 squared) and b squared (12 squared) must add up to it.
To find the squared value of any number, what we do is we multiply it by itself. So, for a squared, we would multiply 5 by 5. This gives us 25, which means that a squared is equal to 25. We can do the same for b squared; 12 x 12 = 144, so b squared is equal to 144. Now that we have our squared versions of our numbers, we can add them to verify that this is a right triangle. Does 144 + 25 = 169? Yes! Because this equation is true, we have the right triangle and its measurements solved!
The formula for solving for a is simple! Here are the steps:
Step 1: c squared minus b squared.
Step 2: Find the result of step 1, then find the square root of the result.
Step 3: The square root of the result is your answer!
If you need help, let me know and I will gladly assist you.
factor equation. answer is second picture. I do not know to get there though. step by step. f=3-2(3a)^(2) is the equation.
Answers
Answer:
[tex]f=-18a^2+3[/tex]
Step-by-step explanation:
Given equation:
[tex]f=3-2(3a)^2[/tex]
[tex]\textsf{Apply exponent rule} \quad (ab)^n=a^n b^n:[/tex]
[tex]\implies f=3-2(3^2a^2)[/tex]
Rewrite 3² as 9:
[tex]\implies f=3-2(9a^2)[/tex]
Remove the parentheses:
[tex]\implies f=3-2 \cdot 9a^2[/tex]
Multiply the numbers 2 · 9 = 18 :
[tex]\implies f=3-18a^2[/tex]
Rearrange to make the variable the first term:
[tex]\implies f=-18a^2+3[/tex]
Hi, can someone please help me? trying to graduate :(
Write an equation in slope-intercept form of the line that passes through the point (3,-2) with slope -2.
Answers
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 2 , then
y = - 2x + c ← is the partial equation
to find c substitute (3, - 2 ) into the partial equation
- 2 = - 6 + c ⇒ c = - 2 + 6 = 4
y = - 2x + 4 ← equation of line in slope- intercept form
3 squares are positioned to form a triangle. the small square is labeled 6 units, medium square is 8 units, and large square is not labeled. answer these questions about the right triangle. what is the area of the square of the leg 6? what is the area of the square of the leg 8? what is the area of the hypotenuse square? what is the length of the hypotenuse?
Answers
The area of the square of the leg 6 is 36 square units.
The area of the square of the leg 8 is 64 square units.
The area of the square of the hypotenuse square is 100 square units.
The length of the hypotenuse is 10 units.
Formula Used
Area of square, A = [tex](a)^{2}[/tex]
Here, [tex]a[/tex] is the length of the side of the square.
Pythagoras Theorem is given as,
[tex]h^{2} =p^{2} +b^{2}[/tex]
Here, [tex]h, p, b[/tex] are the hypotenuse, perpendicular, and the base of a right angle triangle respectively.
Area of the Square of the Leg 6
Length of the edge of the square = 6 units
Area of square = 6*6
= 36 square units
Area of the Square of the Leg 8
Length of the edge of the square = 8 units
Area of square = 8*8
= 64 square units
Area of the Hypotenuse Square and the Length of the Hypotenuse
Applying Pythagoras theorem,
[tex]h^{2} = (8)^{2} +(6)^{2}[/tex]
[tex]h^{2} = 64+36[/tex]
[tex]h = \sqrt{100}[/tex]
[tex]h = 10 units[/tex]
Therefore, the area of the hypotenuse square is 100 square units and the length of the hypotenuse comes out to be10 units.
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Answer: in the picture
Step-by-step explanation:
Write the equation of the line that passes through the points (1,1) and (2,4). Write your answer in slope intercept form. Step by step please
Answers
Answer: y = 3x - 2
Step-by-step explanation:
gradient = (4 - 1)/(2 - 1) = 3/1 = 3
y = 3x + c needs to work for both points
Substitute (1,1) into equation
1 = 3 x 1 + c
c = 1 - 3 = -2
y = 3x - 2
Mark decided to make Christmas presents for his classmates. he bought 10lb of two types of candies: caramel candies for $2.80 per pound and chocolate candies for $3.50 a pound.
Write a function f(x) that represents the total cost of candy, where x is the weight of the less expensive candy
Brainliest for correct answer
Answers
The function for the given situation is f(x)=35.0-0.7x.
Given that, Mark bought 10 pound of two types of candies, caramel candies for $2.80 per pound and chocolate candies for $3.50 a pound.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Now, the function for the given situation is as follows:
If x is the weight of the less expensive candy, the 10-x is the weight of the high expensive candy.
So, f(x)=2.80x+3.50(10-x)
⇒ f(x)=2.80x+35.0-3.50x
⇒ f(x)=35.0-0.7x
Therefore, the function for the given situation is f(x)=35.0-0.7x.
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Order the following numbers from least to greatest.
4.12310562562 4.5 4.23
Answers
Answer:
4.12310562562, 4.23, 4.5
Cedric applied the rule to figure WXYZ.
Figure W X Y Z is reflected across the line of reflection m to form W prime X prime Y prime Z prime. Figure W prime X prime Y prime Z prime is rotated 180 degrees about point P to form W double-prime X double-prime Y double-prime Z double-prime.
What mistakes did he make? Select two options.
He applied the reflection to the pre-image first.
He applied the rotation to the pre-image first.
He changed the size of the figure instead of just applying a rotation.
He used point P as the center of rotation.
He used an incorrect angle of rotation around point P
Answers
The mistakes that were made regarding the transformation are:
He applied the reflection to the pre-image first.He used an incorrect angle of rotation around point PHow to illustrate the information?It should be noted that a transformation simply means the changing of the position of an object
In this case, the transformation is incorrect as he applied the reflection to the pre-image first and used an incorrect angle of rotation around point P.
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2. A point A (x, y) is translated 10 units to the right and 3 units down. What is the mapping to the new point A'?
Answers
Answer:
(x+10,y-3)
Step-by-step explanation:
Express - 6 + √25 as a complex number in the form a + bi.
- 6 + √-25 =
Answers
Answer:
[tex]-6+5i[/tex]
Step-by-step explanation:
[tex]-6+\sqrt{-25}\\\\=-6+5i[/tex]
Which of the following are reasons used in the proof that the angle-bisector
construction can be used to bisect any angle?
Check all that apply.
0 A. All of the radii of a circle
are congruent.
. B. SSS triangle congruence postulate
. C. Any line segment can be extended
indefinitely.
. D. CPCTC
Answers
The angle-bisector construction can be used to bisect any angle and this is proven by:
A. All of the radii of a circle are congruent.B. SSS triangle congruence postulate. D. CPCTC.What is the proof that the angle-bisector construction can bisect any angle?The angle-bisector construction means that a line is made that can divide an angle into two congruent angles.
This is shown by the fact that all the radii of a circle are congruent and that the corresponding parts of congruent triangles are also congruent (CPCTC) when an angle bisector is made on a circle or triangle respectively.
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Find the H.C.F. of the following expressions:36(x³+x²y-12xy²), 54(x³y+4x³y²-21xy)
Answers
Answer:
18x
Step-by-step explanation:
The HCF is the highest factor common to both expressions. We can find it by factoring both expressions and identifying common factors.
Factorization
36(x³+x²y-12xy²) = 18x·2·(x +4y)(x -3y)
54(x³y+4x³y²-21xy) = 18x·3y·(x +7)(x -3)
The highest common factor is 18x.
-7 + p = 3 for p
help before my dad comes home
Answers
Answer:
p=10
Step-by-step explanation:
-7+p=3
+7-7+p=3+7
p=10
Answer:
Hello! The answer to this question is 10.
Step-by-step explanation:
You have to get p by itself so we will add 7 to both sides:
-7 + p = 3
+7 +7
-------------
p = 10
When doing so, we get p = 10.
You can check your work:
-7 + 10 ⇒ 10 - 7 = 3
Therefore, p = 10 is the correct answer.
Which systems of equations have no solution?
Answers
Answer:
same slope, different intercepts (parallel lines essentially)
Step-by-step explanation:
For the polynomial function ƒ(x)= −2x2 − 4x + 16, find all local and global extrema.
Answers
For the given quadratic equation we only have a maximum at y = 18.
How to find the extrema of the given function?
Here we have:
[tex]f(x) = -2x^2 - 4x + 16[/tex]
Notice that this is a quadratic equation of negative leading coefficient.
Then we have a maximum at the vertex, and both arms tend to negative infinity as x tends to infinity or negative infinity.
The vertex is at:
x = -(-4)/(2*(-2)) = -1
The maximum is:
[tex]f(-1) = -2*(-1)^2 - 4*(-1) + 16 = -2 + 4 + 16 = 18[/tex]
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When finding the area of a rectangular prism, do you prefer to find the area of the base first and then multiply it by the height or to multiply all three dimensions at once?
Answers
Answer: I prefer to find the area of the base first and then multiply by the height
Find the monthly interest payment in the situation described below. Assume that the monthly interest rate is 1 divided by 12 of the annual interest rate.
You maintain an average balance of $675 on your credit card, which carries a 24%
annual interest rate.
The monthly interest payment is
Answers
The monthly interest payment is 162
What is Interest?Interest, in its most simple form, is calculated as a percent of the principal.
First,
monthly interest rate,
= 0.24/12
= 0.02.
Now,
Average monthly interest,
=0.02×$675
= $13.50.
Thus, the annual interest payments,
= 12×$13.50
= $162
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If Art has a 7/1 ARM, how long will the fixed interest rate be applied to his loan?
Answers
Answer:
step-by-step explanation:
A 7/1 ARM is a mortgage that has a fixed interest rate in the beginning, then switches to an adjustable or variable one. The 7 in 7/1 indicates the initial fixed period of seven years. After that, the interest rate adjusts once yearly based on the index stated in the loan agreement, plus a margin set by the lender.
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The graph below shows the graphs of the linear function = 7x and the exponential function y =
Which statement is true?
HURRY TIMED
Answers
Answer:
its D
Step-by-step explanation:
I was able to get the first two parts and now I am stumped.
Answers
The correct response that would be expected based on the probability information is 164
How to depict the values?From the information, there were 352 trials that were made and we're correct 164 times.
Therefore, the correct response that would be expected is 164.
The success rate will be:
= 164/352
= 0.466
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Find 62% of 300
18.6
1.9
186
18.7
Answers
Refrigerators-’N-More sells appliances with a 20% markup from their purchase cost. Alice makes a 5% commission rate on her daily sales. If the store buys a washer and dryer set for $600, what would Alice’s commission be if she sold those appliances?
The price of the washer and dryer set after the markup is
.
The amount of Alice’s commission would be
Answers
The price of the washer and the dryer set is $720.
The commission earned by Alice is $36.
What is the price of the washer and dryer set ?Percentage can be described as a fraction an amount expressed as a number out of hundred. Percentage is a measure of frequency.
Price after the mark up = ( + percentage mark up) x cost price
(1 + 0.20) x $600 = $720
Commission earned by Alice = 5% x 720 = $36
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https://what is answer for let x,y,z be three natural number .such that x
Answers
The combinations of ordered triplets that are possible is equal to: A. 18.
How to find the possible number of ordered triplet?Since the common difference (d) between the consecutive terms in an arithmetic progression (AP) is constant, we have:
d = y - x = z - y
Rearranging the terms, we have:
x = y - d
z = y + d
From the given equation:
x + y + z = 30
y - d + y + y + d = 30
3y = 30
y = 30/3
y = 10.
So the arithmetic progression (AP) is given by:
(10 - d), 10, (10 + d)....
Since the common difference (d) is a natural number which would be from 1 to 9, the combinations of ordered triplets that are possible is as follows:
Number of possibilities = 9 × 2
Number of possibilities = 18.
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Complete Question:
If x, y, z are three natural numbers in A.P. such that x + y + z = 30 then the possible number of ordered triplet (x, y, z) is?
A. 18
B. 19
C. 20
D. 21