There were 24 participants in a recent study on personality traits. After being shown five images (1, 2, 3, 4, and 5), each participant selected the one that was most appealing to them. (a) The image each participant selected appears below. Complete the frequency distribution for the data.
Answers
The given images are 1, 2, 3, 4, 5
The total number of participants = 24
The frequency of each image is the number of times it appears in the distribution
Frequency of 1 = 6
Frequency of 2 = 5
Frequency of 3 = 4
Frequency of 4 = 3
Frequency of 5 = 6
The frequency distribution table is therefore shown below:
Related Questions
Use the Distance and Slope Formulas to complete the tables below. Round to the nearest tenth,1. Find the length of MN, given the coordinates M (4,- 4) and N (2.0).imImMN:
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Given the coordinates;
[tex]\begin{gathered} M(4,-4) \\ N(2,0) \end{gathered}[/tex]The slope m of the line MN is;
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Where x}_1=4,y_1=-4,x_2=2,y_2=0 \end{gathered}[/tex][tex]\begin{gathered} m=\frac{0-(-4)}{2-4} \\ m=\frac{4}{-2} \\ m=-2 \end{gathered}[/tex]The slope of a line parallel to the line MN must have a slope equal to line MN, that is;
[tex]\mleft\Vert m=-2\mright?[/tex]The slope of a line perpendicular to line MN has a slope of negative reciprocal of line MN, that is;
[tex]\begin{gathered} \perp m=-\frac{1}{-2} \\ \perp m=\frac{1}{2} \end{gathered}[/tex]Using the distance formula to find the length of MN, the formula is given as;
[tex]D=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}[/tex][tex]\begin{gathered} \text{Where x}_1=4,y_1=-4,x_2=2,y_2=0 \\ |MN|=\sqrt[]{(0-(-4)^2+(2-4)^2} \\ |MN|=\sqrt[]{16+4} \\ |MN|=\sqrt[]{20} \\ |MN|=4.5 \end{gathered}[/tex]12. What is the equation of a circle with center (6,-4) and radius 6?(x - 6)2 + (y + 4)2 = 6(x + 6)2 + (y - 4)2 = 36(x + 6)2 + (y - 4)2 = 6(x - 6)2 + (y + 4)2 = 36
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The equation of a circle with center (h, k) and radius r is given by the following expression:
[tex](x-h)^2+(y-k)^2=r^2[/tex]In this case, the center of the circle is located at (6, -4), and its radius equals 6, then by replacing 6 for h, -4 for k and 6 for r, we get:
[tex]\begin{gathered} (x-6)^2+(y-(-4))^2=6^2 \\ (x-6)^2+(y+4)^2=36 \end{gathered}[/tex]Then, the last option is the correct answer: (x - 6)^2 + (y + 4)^2 = 36
Find quotient of 5,433 % 8
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Find the quotient of 5,433 by 8.
8 | 5,433
Divide 54 by 8. The quotient is 6. 6x8 = 48. 54 - 48 = 6.
6
8 | 5433
-48
-------
63
63 by 8 is 7. 7x8 = 56. 63 - 56 = 7.
67
8 | 5433
-48
-------
63
-56
--------
73
73 by 8 is 9. 9x8 = 72. 73 - 72 = 1. The final step is:
679 <== Quotiet
8 | 5433
-48
-------
63
-56
--------
73
-72
-------------
1 <== Remainder
Art wants to calculate the diagonal distance across opposite corners of a rectangular parcel. The parcel is 161’ by 326’ . How long is the diagonal measurement?
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Recall that the formula for the length of the diagonal of a rectangle is:
[tex]l=\sqrt[]{a^2+b^2}.[/tex]Where a, and b are the lengths of the sides of the rectangle.
Substituting a=161´, b=326´ in the above formula we get:
[tex]\begin{gathered} l=\sqrt[]{(161^{\prime})^2+(326^{\prime})^2}, \\ l=363.5890537^{\prime}\text{.} \end{gathered}[/tex]Answer: 363.5890537 ´.
For the following exercises, determine the least possible degree of the polynomial function shown.
Answers
Solution
To determine the least possible degree of the polynomial function
The function has atmost n - intercepts in the horizontal
The graph turns 4 times in the above curve, hence n = 4
[tex]\begin{gathered} n+1 \\ n=\text{ number of turns} \\ 4+1=5 \end{gathered}[/tex]Therefore the least possible degree of the polynomial = 5
Hence it is a 5 possible polynomial function
The figure below is composed of squares and semi-circles. Find the perimeter of this shape. Show your work.
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Problem
Solution
For this case we can find the perimeter of the figure with the following operation
[tex]P=(2\cdot4)+\pi(4)+(2\cdot4)+\pi(4)=2\pi(4)+8+8[/tex]Then the final answer would be:
[tex]P=16+8\pi[/tex]Your friend subtracts to find
44 - 18 = 26. He uses 26+ 18 to check his work. Your
cousin tells him he should use 18 + 26. Who is correct?
Explain how you know.
Answers
Answer:
technically it's both
Step-by-step explanation:
because if you have the answer plus 18 and if it works and you get 44 that will be the answer
Which number line shows the solutions to n -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
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The expression
[tex]n<-3[/tex]means "n takes values less than -3 but without taking the 3", for the symbol <.
Then, the number line that shows the solutions of the expression is
Select all the statements below that are true for the following graph
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From the graph given,
It is an absolute function
The following statements are true about the graph
i) The vertex is located at (2, -2)
ii) The graph has two zeros
ii) The range is [-2, ∞)
I need help question
Answers
[tex]f(x)=x^2-4x-94[/tex]
The diffrentiated function will be
[tex]2x-4[/tex]RULES FOR DIFFERENTIATION
[tex]\begin{gathered} y=x^n \\ \frac{dy}{dx}=nx^{n-1} \end{gathered}[/tex]Also
[tex]\begin{gathered} y=kx \\ \frac{dy}{dx}=k \end{gathered}[/tex]Also
[tex]\begin{gathered} y=k \\ \frac{dy}{dx}=0 \end{gathered}[/tex]What is the vertex for the graph of y– 4 = - (x+1)^2??O A. (4,-1)O B. (1,-4)O c. (-1,4)O D. (-4,1)
Answers
The equiation of parabola in vertex form is:
[tex]y\text{ = a}\cdot(x-h)^2\text{ + k}[/tex]where (h, k) are the coordinates of the vertex and a is a constant. In our case we have:
[tex]y-4=-(x+1)^2[/tex]add 4 to both sides:
[tex]y\text{ -4 +4 = -}(x+1)^2\text{ + 4}[/tex]Resolving:
[tex]y=-(x+1)^2\text{ + 4}[/tex]Therefore we already have it in the vertex form and we have to:
[tex]\begin{gathered} h\text{ = -1 } \\ k\text{ = 4} \end{gathered}[/tex]Therefore the answer is c. (-1, 4)
You'll have to make a series of transformations to make this parabola fit the bridge. Describethem
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The transformations are as follows:
- There is firstly a vertical reflection
- There is a vertex shift from (0,0) to the (-2, 3) position (approximate)
- There is also a horizontal compression of the parabola.
Can you just tell me the answer to this problem I need to finish it quickly I don’t need to work lol sorry it’s #6 I need help in
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The combined triangles will look as shown below:
It can be observed that the lengths of the three sides fit alongside one another perfectly. This means that the lengths are equal.
Also, the middle piece of the three triangles has no space when it aligns with the other two triangles. This means that all the angles add up to 180°.It would also be a safe assumption that the angles are equal to each other, therefore the measure of each angle will be:
[tex]\Rightarrow\frac{180}{3}=60\degree[/tex]Therefore, it can be observed that the sides and angles of the three triangles are equal.
Line Segment AC is 10 centimeters (cm) long, Point M is the midpoint of AC.What will happen to the length of AC if Point A is moved so that the length of AM is squared and the length of MC remains the same?The length of AC will triple.The length of AC will double.The length of AC will be squared.The length of AC will be five times as large.
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We know that AC is 10 centimeters long, and M is the midpoint of AC.
If we move point A as the problem says, we have.
As you can observe, the length of AC is triple.
Hence, the right answer is the first option: The length of AC will triple.please help me solve this step by step with wrriten explanation. context and words help me
Answers
I need to know the new equation, I’ve provided a picture
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Hello there. To solve this question, we'll simply have to make x => x + 5 in the function.
Given the function:
[tex]f(x)=4x^2-3^{}[/tex]We have to determine f(x + 5)
By making x => x + 5 in this function, we get:
[tex]f(x+5)=4\cdot(x+5)^2-3[/tex]Now remember the binomial expansion of order 2:
[tex](a+b)^2=a^2+2ab+b^2[/tex]Therefore we have:
[tex]f(x+5)=4\cdot(x^2+2\cdot x\cdot5+5^2)-3[/tex]Multiply the terms inside parentheses and calculate the square.
[tex]f(x+5)=4\cdot(x^2_{}+10x+25)-3[/tex]Apply the distributive property
[tex]f(x+5)=4x^2+4\cdot10x+4\cdot25-3[/tex]Multiply and add the numbers
[tex]\begin{gathered} f(x+5)=4x^2+40x+100-3 \\ \boxed{f(x+5)=4x^2+40x+97} \end{gathered}[/tex]This is the answer we're looking for.
A way of showing this is the correct answer is to make x = 1 and x = 6 in the former function:
[tex]\begin{gathered} f(1)=4\cdot1^2-3=4\cdot1-3=4-3=1 \\ f(6)=4\cdot6^2-3=4\cdot36-3=144-3=141 \end{gathered}[/tex]Then making x = 1 in the expression we found after:
[tex]f(1+5)=f(6)=4\cdot1^2+40\cdot1+97=4+40+97=141[/tex]As expected.
Please help me with these 2 questions they are both solved problems that go together with one huge problem so please answer both thank you
Answers
1).
r = 11 in
The diameter is twice the radius, so:
d = 2*11 = 22 inches
2).
d = 18 inches
The radius is half the diameter, so:
r = 18/2 = 9 inches
Dane is using two differently sized water pumps to clean up flooded water. The larger pump can
remove the water alone in 240 min. The smaller pump can remove the water alone in 400 min.
How long would it take the pumps to remove the water working together?
minutes
Answers
The rate of work obtained from the 240 and 400 minutes it takes for the large and small pumps to remove the water alone respectively, gives the duration it takes for the two pumps to remove the water working together as 150 minutes.
What is the rate of work formula?The rate of work in completing a project is given by the reciprocal of the time it takes to complete the project.
The given parameters are;
The time it takes the larger pump to remove the water, A = 240 minutes
The time it takes the smaller pump to remove the water, B = 400 minutes
The rate of doing work by the larger pump = [tex]\frac{1}{240}[/tex]
The work rate of the smaller pump = [tex]\frac{1}{400}[/tex]
The rate of work of the two pumps combined, [tex]\frac{1}{r}[/tex], is therefore;
[tex]\dfrac{1}{A} +\dfrac{1}{B} = \dfrac{1}{r}[/tex]
Where;
r = The time it takes for the two pumps to remove the water together
Which gives;
[tex]\dfrac{1}{240} +\dfrac{1}{400} = \dfrac{1}{150} = \dfrac{1}{r}[/tex]
∴ r = 150
The time it takes for the two pumps to remove the water together is 150 minutes
Learn more about rate of work here:
https://brainly.com/question/29242115
#SPJ1
Answer: 150 min
(I completed the question)
6x-4>23what two values solve for x
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Given:
[tex]6x-4>23[/tex][tex]\begin{gathered} 6x-4+4>23+4 \\ 6x>27 \\ x>\frac{27}{6} \\ x>4.5 \end{gathered}[/tex]which of the following describes the area of a circle?
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The area of the circle is given by:
[tex]A=\pi r^2[/tex]So, the area of a circle is basically:
[tex]A=\frac{1}{2}\times2\pi r\times r[/tex]It can be seen as the number of squares inside of the circle
how many people are :9 or younger ?At most 60 years old ?40 to 59 ?
Answers
Given the table represents the ages of people :
We need to find the following:
1. how many people are : 9 or younger ?
As shown in the table : the ages 0 - 9 has a frequency of 8
So, the answer is : 8 people
2. How many people at most 60 years old ?
From the table : the age 60 - 69 the frequency is 10
But there is no information to specify the age 60
The answer is : NEI
3. How many people are : 40 to 59 ?
From the table :
the age 40-49 has a frequency = 9
the age 50-59 has a frequency = 6
So, the answer is 9 + 6 = 15 people
evaluate the following expression 2 * 1 + 2 * 24/4
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using PEDMAS/ BODMAS
division is executed first followed by multiplication then addition
I have no clue how to graph inequalities and find the solution
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In the graph we can see two line y=2 and y=x.
Also, we know that there is a system of inequalities and the blue area in the graph represent the solutions for the system.
We can see that the blue area is above the line y=2, thats mean one inequality is:
[tex]y\ge2[/tex]So, any points that y-coordinate is greater than or equal than 2 satisfy the inequality.
Also we can see that the blue area is bellow the line y=x and the line is a dotted line, this last means the inequality do not take take value in the line. So, the second inequation is:
[tex]ySo, the points that satisfy the system of inequalities are above the line y=2 and bellow the line y=x and not touch the line y=x.ring×heart=hathat×2=heartheart-ring=1/4
Answers
Let's begin by identifying key information given to us:
[tex]undefined[/tex]Given: AB = CB, LABD= LABD= LCBD Prove: LA= LCStatement Reason
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Explanation:
We know that AB = CD and that ∠ABD = CBD because it is given information.
Then, we have that BD = BD because a side is congruent to itself. It is called the reflexive property of congruence.
Now, we can say that ΔABD = ΔBDC by SAS (Side - Angle - Side) because we have two congruent sides and the angle between them is also congruent
Finally, ∠A = ∠C because the corresponding sides of congruent triangles are congruent
Answer:
Therefore, the answer is
grandma has $250000 to invest. she divides her money into two accounts. one account is in ultra-safe treasury bills paying 4% interest, and the other is in riskier corporate bonds paying 6%. if she needs $12,000 per year in income from her investments, how much should she invest in each account
Answers
for the ultra-safe treasury bills:
[tex]\begin{gathered} I_1=PV\cdot r\cdot t \\ I_1=x\cdot0.04\cdot1 \\ I_1=0.04x \\ \text{where:} \\ x=\text{amount 1} \end{gathered}[/tex]For riskier corporate bonds:
[tex]\begin{gathered} I_2=PV\cdot r\cdot t \\ I_2=y\cdot0.06\cdot1 \\ I_2=0.06y \\ \text{Where:} \\ y=\text{amount 2} \end{gathered}[/tex]she needs $12,000 per year, so:
[tex]\begin{gathered} I_1+I_2=12000 \\ 0.04x+0.06y=12000 \end{gathered}[/tex]grandma has $250000 to invest, therefore:
[tex]x+y=250000[/tex]Let:
[tex]\begin{gathered} x+y=250000\text{ (1)} \\ 0.04x+0.06y=12000\text{ (2)} \\ \text{From (1) solve for x:} \\ x=250000-y\text{ (3)} \\ \text{ Replace (3) into (2)} \\ 0.04(250000-y)+0.06y=12000 \\ 10000-0.04y+0.06y=12000 \\ 0.02y=12000-10000 \\ 0.02y=2000 \\ y=\frac{2000}{0.02} \\ y=100000 \end{gathered}[/tex]Replace y into (3):
[tex]\begin{gathered} x=250000-100000 \\ x=150000 \end{gathered}[/tex]Therefore, grandma needs to invest $150000 in ultra-safe treasury bills, and
I am thinking of a number. It has two digits. When I reverse the digits and then add the new number to the original number I get 33. What is my number?
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I am thinking of a number. It has two digits. When I reverse the digits and then add the new number to the original number I get 33. What is my number?
Let
the number xy
so
Reverse the digits yx
xy+yx=33
10x+10y=30 ------> equation 1
y+x=3 ----> equation 2
solve the system by graphing
the syste
Find the volume of the rectangular prism O 8 cubic units O 4 cubic units 6 cubic units O 3 cubic units
Answers
Given data:
The given rectangular prism.
The volume of the given prism is,
[tex]\begin{gathered} V=6(\text{volume of a cube)} \\ =\text{ 6(1 cubic-units)} \\ =\text{ 6 cubic-unis} \end{gathered}[/tex]5 Ramon sched 13 -6 She said she thought about taking away and then 3 more from 13. CanRamon do this? Show a diagram and write an equation to show what this solution path would look like
Answers
we know that
14-7=7 --------> given problem
so
we have
14-8
Rewrite the expression
14-(7+1)
14-7-1
Remember that
14-7=7
substitute
7-1
6
we have
12-6=6
so
12-7
rewrite
12-(6+1)
12-6-1
substitute
6-1
5
we have
13-6
13-(3+3)
13-3-3
10-3
7
please help me 60 points please show all work this is due in 15 minutes5x-(3x-6)=182(3x-4)=102x+7=5x+16x/3-8=-23x – 6 = -12x/-3=8