Answers
Given the data set:
\(23,17,14,21,23,18,29,20,13\)a. 1. You need to order it from least to greatest:
\(13,14,17,18,20,21,23,23,29\)2. You can identify the Range. Therefore, the minimum point of the whisker must be on:
\(13\)And the maximum point on the whisker must be on:
\(29\)3. Determine the Median of the whole data set (the middle value in the data set). Since there 9 values in the set, you can determine that:
\(Median=20\)4. Find the Median of the bottom half part of the data:
\(Median_{bottom}=17\)5. And the Median of the top half is:
\(Median_{top}=23\)Knowing all that data, you can create the Box Plot:
b. By definition, the first quartile divides 25% of the data. Therefore, you can determine that the percentage of the data that is above the first quartile is:
\(75\text{\%}\)c. By definition, the second quartile divides 50% of the data. Therefore, the percentage of the data that is below it is:
\(50\text{ \%}\)Hence, the answers are:
a.
b.
\(75\text{\%}\)c.
\(50\text{\%}\)
Related Questions
Write an equation of the line shown. Then use the equation to find the value of x when y=112
Answers
Answer:
\( y = 8x + 16 \)
\( x = 12 \)
Step-by-step explanation:
Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format \( y = mx + b \).
Where,
\( m = slope = \frac{y_2 - y_1}{x_2 - x_1} \)
b = y-intercept or the point at which the line cuts the y-axis.
Let's find slope (m) using the slope formula:
Let,
\( (0, 16) = (x_1, y_1) \)
\( (3, 40) = (x_2, y_2) \)
\( slope (m) = \frac{40 - 16}{3 - 0} \)
\( slope (m) = \frac{24}{3} \)
\( slope (m) = 8 \)
Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.
\( y = mx + b \)
\( 16 = 8(0) + b \)
\( 16 = 0 + b \)
\( 16 = b \)
\( b = 16 \)
Plug in the values of m and b into the slope-intercept formula to get the equation of the line.
\( y = mx + b \)
\( y = 8x + 16 \)
Let's use the equation to find x when y = 112.
\( y = 8x + 16 \)
Substitute y = 112 in the equation
\( 112 = 8x + 16 \)
\( 112 - 16 = 8x \)
\( 96 = 8x \)
Divide both sides by 8
\( 12 = x \)
\( x = 12 \)
I really need help with this
Answers
Answer:
I won't do your homework for you, but I will walk you through one of them.
The answer for number 14 is 4/9 = 16/36
Step-by-step explanation:
1. We know both denominators. They are 9 and 36. 9 x 4 = 36.
2. Multiply that 4 in the numerators. 4 x 4 = 16
Answer:
1. 24
2. 6
3. 12
4. 40
5. 6
6. 20
7. 2
8. 16
9. 32
10. 4
11. 42
12. 45
13. 32
14. 16
15. 24
16. 63
17. 8
18. 40
19. 48
20. 35
Explaining it:
Divide the numerator or denominator by the first fraction blank.
Ex: say the first fraction is 2/8. The fraction on the other side is ?/24 ( the question mark will be the blank/ variable in this situation ). Divide that 24 by 8. You should get three. Then multiply that 3 bye two to get your ?/ answer.
Please consider giving this brainlest, and hope this helped you out! ^^
Drag the tiles to the correct boxes to complete the pairs, In the figure, lines H and KL are parallel. TH K E G D Match each angle relationship with the appropriate reason. Vertical angles theorem Alternate exterior angles theorem linear pair Alternate interior angles theorem Corresponding angles theorem same-side interior angles m_HED = m_FE) mKFE = m_FEJ MZLFG = MADEH
Answers
The angle relationship and their reasons are:
m∠HED = m∠FEJ ---> Vertical angles theoremm∠KFE = m∠DEH ---> Alternate interior angles theoremm∠LFG = m∠DEH ---> Alternate exterior angles theoremm∠JEF + m∠LFE = 180° ---> same-side interior angles theoremm∠DEJ = m∠EFL ---> Corresponding interior angles theoremm∠LFG + m∠GFK = 180 ---> linear pairThe angle pairs are formed based on their relative positions. The following shows each angle relationship and their reasons:
∠HED and ∠FEJ are directly vertically opposite each other, therefore, they are equal based on the vertical angles theorem.
m∠HED = m∠FEJ ---> Vertical angles theorem∠KFE and ∠FEJ are alternate interior angles, therefore, they are equal based on the alternate interior angles theorem.
m∠KFE = m∠DEH ---> Alternate interior angles theorem∠LFG and ∠FEJ are alternate exterior angles, therefore, they are equal based on the alternate exterior angles theorem.
m∠LFG = m∠DEH ---> Alternate exterior angles theorem∠JEF and ∠LFE are interior angles on same side of the transversal, therefore, the sum of both angles equal 180 degrees based on the same-side interior angles theorem.
m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem∠DEJ and ∠EFL are corresponding angles, therefore, they are equal based on the corresponding angles theorem.
m∠DEJ = m∠EFL ---> Corresponding interior angles theorem∠LFG and ∠GFK are angles on a straight line, therefore the sum of both angles will equal 180 degrees because they are a linear pair.
m∠LFG + m∠GFK = 180 ---> linear pairLearn more about angle relationship on:
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If you can buy one bunch of seedless green grapes for $2, then how many can you buy with $18?
Answers
If you can buy 1 bunch of seedless green grapes for $2, then $18 we can buy 9 bunches.
The concept used here is a simple division to find out how many bunches of seedless green grapes can be purchased with a given amount of money.
In this case, we know the cost of one bunch of seedless green-grapes ($2) and we are given a total amount of money ($18) that we can spend on grapes. We can use division to find out how many bunches we can buy with that amount.
⇒ Number of bunches = ($18)/($2) per bunch,
⇒ Number of bunches = 9 bunches;
Therefore, with $18, you can buy 9 bunches of seedless green grapes.
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38. Which of the following describes a median of a triangle? (1 point)
a segment drawn from a vertex to the midpoint of the opposite side
a segment drawn from the vertex perpendicular to the line containing the opposite side
a segment drawn through the midpoint of a side and at a right angle to the side.
segment drawn from the center of an angle to the side opposite.
Answers
A statement that describes the median of a triangle include the following: A. a segment drawn from a vertex to the midpoint of the opposite side.
What is a triangle?In Mathematics and Geometry, a triangle is a two-dimensional geometric shape that comprises three sides, three vertices and three angles only.
In Mathematics and Geometry, the median of a triangle can be defined as a line segment with end points that is typically drawn from a vertex to the midpoint of the opposite side of the triangle.
In this context, we can logically deduce that a line segment with end points at the vertex and the midpoint of the triangle's opposite side simply refers to the median of a triangle.
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The depth of an underwater camera on a cable anchored to the sea floor is proportional to the time. The table records the time in seconds (s) and depth in meters (m) of the camera. What are the missing values in the table?
Answers
Answer:
20=-1
60=-3
100=-5
240=-12
Step-by-step explanation:
divide time and depth by 20
When time is 20 the depth is -1, when time is 60 the depth is -3 and time is 240 the depth is -12.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The depth of an underwater camera on a cable anchored to the sea floor is proportional to the time.
From the table let us take the values of time and depth which both are given.
Time=100 and depth is -5.
From this we can find the other values.
Depth=-1 when time is x
100/-5=x/-1
100=5x
Divide both sides by 5
x=20
So when time is 20 the depth is -1.
Now we have to find the depth when time is 60.
60/x=100/-5
-300=100x
x=-3
So when time is 60 the depth is -3.
Now we have to find the depth when time is 240.
240/x=100/-5
-1200=100x
Divide both sides by 100
x=-12
when time is 240 the depth is -12.
Hence, when time is 20 the depth is -1, when time is 60 the depth is -3 and time is 240 the depth is -12.
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Triangles WILL GIVE BRAINLIEST
Answers
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!
The data show the number of pieces of mail delivered to a single home address each day for three weeks.4, 0, 2, 6, 1, 0, 3, 4, 0, 2, 4, 1, 5, 2, 3, 1, 1, 2Which statement is true about a graph representing the data? Check all that apply.The number line of a dot plot would start at 1.A dot plot would show 7 points for numbers greater than 2.The intervals on a histogram should be 0 to 2, 3 to 4, and 5 to 6.A histogram would have a maximum of 7 bars.A histogram should not show a bar that includes 0 pieces of mail.
Answers
A dot plot would show 7 points for numbers greater than 2 and a histogram would have a maximum of 7 bars. Hence, Both statements b and d are true about a graph representing the data.
Statement b: A dot plot would show 7 points for numbers greater than 2. This is true because there are 7 data points (2, 3, 4, 4, 4, 5, 6) in the data set that is greater than 2.
Statement d: A histogram would have a maximum of 7 bars. This is because there are 7 unique values in the data set (0, 1, 2, 3, 4, 5, 6), and each unique value would correspond to a bar in the histogram.
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Question 2: Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually. She plans to withdraw the money when she retires in 30
years.
a) Determine the value of the investment when she retires. Show your
work.
I
b) Calculate the rate of return [note:] over the 30 years. Show your work.
Answers
the value of the investment when she retires is $26434.92.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
here, we have,
given that,
Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually.
She plans to withdraw the money when she retires in 30
years.
So, she get finally is,
using the formula we get,
$26434.92
hence, the value of the investment when she retires is $26434.92.
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Brianna made 9 1/4 bags of popcorn for a movie night with some friends. Together they ate 4 bags of it. How much popcorn was left?
Answers
There were 5 1/4 bags of popcorn left after eating 4 bags.
To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.
Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:
9 1/4 = (4 * 9 + 1) / 4 = 37/4
Now, let's subtract the 4 bags eaten from the total:
37/4 - 4
To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:
37/4 - 4/1
Now, let's find a common denominator and subtract the fractions:
37/4 - 16/4 = (37 - 16) / 4 = 21/4
The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:
21/4 = 5 1/4
Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.
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|2x| if x<0
What is the equation?
Answers
Answer:
-2x
Step-by-step explanation:
Just flip it around and then it is negative!
Little help ?please 5 points
Tawna and Donnie Milled cartons with bottles, Tawna put in 10 bottles and Bonnie put in a bottles, How many bottles does each carton hold?
Answers
Answer:
I Think E But Im Not Sure About It
- 1/2 x ( - 1/8 ) - 3/4
Answers
-11/16
(Decimal: -0.6875)
-5(x - 10) = -35, figure out what x is
Answers
\(\text {Hey! Let's Solve this Problem!}\)
\(\text {\underline {The First Step is to Simplify the Equation}}\)
\(\text {Before: -5(x-10)=-35}\)
\(\text {After: -5x+50=-35}\)
\(\text {\underline {The Next Step is to Subtract 50}}\)
\(\text {-5x+50-50=-35-50}\)
\(\text {Your New Problem Is: -5x=-85}\)
\(\text {\underline {The Final Step is to Divide -5}}\)
\(\text {-5x/-5=-85/-5}\)
\(\text {Your Answer Would Be:}\)
\(\fbox {x=17}\)
\(\text {Best of Luck!}\)
Answer:
17
Step-by-step explanation:
-5 (x - 10) = -35
-5x + 50 = -35
-5x = -35 - 50
-5x = -85
x = 17
Hopefully this answer helps you :)
You should have two 2-bit inputs and 4 output bits. The logic required to calculate each bit is on the website. Come and see me if you have problems. You must build your circuit out of logic gates, you cannot use the adder circuits already built. Your assignment must be turned in as a separate .circ file along with your word file or pdf for the other problems. To verify your output, your input/output table should look like this: Using Logisim, design a 2 bit multiplier.
Answers
This answer explains how to design a 2-bit multiplier using Logarithm. The circuit requires two 2-bit inputs, A and B, and four output bits, C0, C1, C2, and C3. To build the circuit, two 1-bit full adders are used for each bit of inputs A and B and the outputs are connected accordingly. Finally, the circuit is tested to verify that it is working as expected.
Input A: 0 0
Input B: 0 0
Output C: 0 0 0 0
Input A: 0 0
Input B: 0 1
Output C: 0 0 0 1
Input A: 0 0
Input B: 1 0
Output C: 0 0 1 0
Input A: 0 0
Input B: 1 1
Output C: 0 0 1 1
Input A: 0 1
Input B: 0 0
Output C: 0 0 0 1
Input A: 0 1
Input B: 0 1
Output C: 0 0 1 1
Input A: 0 1
Input B: 1 0
Output C: 0 1 0 0
Input A: 0 1
Input B: 1 1
Output C: 0 1 0 1
Input A: 1 0
Input B: 0 0
Output C: 0 0 1 0
Input A: 1 0
Input B: 0 1
Output C: 0 0 1 1
Input A: 1 0
Input B: 1 0
Output C: 0 1 1 0
Input A: 1 0
Input B: 1 1
1. Start with two 2-bit inputs A and B.
2. Create four output bits, C0, C1, C2, and C3.
3. Create two 1-bit full adders, one for each bit of inputs A and B.
4. Connect the inputs A and B to the inputs of the two respective full adders.
5. Connect the output of the first full adder to the input of the second full adder.
6. Connect the of the second full adder to the output of C0.
7. Create two more 1-bit full adders, and connect the output of the first full adder to one of the inputs of each of the two full adders.
8. Connect the other input of each of the two full adders to the corresponding bit of the inputs A and B.
9. Connect the output of the first 1-bit full adder to the output of C1.
10. Connect the output of the second 1-bit full adder to the output of C2.
11. Create one more 1-bit full adder and connect the output of the second 1-bit full adder and the corresponding bit of the inputs A and B to the two inputs of the logarithm 1-bit full adder.
12. Connect the output of the 1-bit full adder to the output of C3.
13. Test the inputs and outputs to verify that the circuit is working as expected.
This answer explains how to design a 2-bit multiplier using Logisim. The circuit requires two 2-bit inputs, A and B, and four output bits, C0, C1, C2, and C3. To build the circuit, two 1-bit full adders are used for each bit of inputs A and B and the outputs are connected accordingly. Finally, the circuit is tested to verify that it is working as expected.
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J
degrees
angle GHJ =
degrees
angle GIJ =
Answers
Answer:
360 degrees = 68 + 31 + 115 + GJ
GJ = 360 -68 -31 -115
GJ = 146
Inscribed Angle = 1/2 of intercepted arc
Angle GHJ = 146 / 2 = 73 degrees
Angle GIJ = 146 / 2 = 73 degrees
Source: http://www.1728.org/circangl.htm
Step-by-step explanation:
b) The price of a computer was $375. In a sale, the price was reduced by 15%. Calcuate the reduction
in the price of the computer
Answers
Which equation is correct?
427 × 3 = 400 × 3 + 20 × 3 + 7 × 3
427 × 3 = 400 + 20 × 3 + 7 × 3
427 × 3 = 400 × 3 + 20 × 3 + 7
427 × 3 = 4,000 × 3 + 200 × 3 + 70 × 3
Answers
Answer:
A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3
Step-by-step explanation:
\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)
Therefore, the first option is correct
The Middle Ages lasted approximately from
Answers
Answer: The Middle Ages lasted approximately from the 5th to the late 15th century. It began with the fall of the Western Roman Empire and merged into the Renaissance and the Age of Discovery.
Need help ASAP
Question 2
Answers
A fence with 2 gates in it surrounds a lion enclosure.
Each gate is 4 m wide.
an image
What is the length of the fence around the enclosure not including the gates?
Answers
The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.
Let's assume the length of the rectangle is 'l' and the width is 'w'.
From the given data, we know that each gate is 4 m wide.
Therefore, the width of the rectangle is:
Width = w + (4 m + 4 m) = w + 8 m
The perimeter of the rectangle is:
P = 2l + 2(w + 8 m) = 2l + 2w + 16 m
Now, we need to subtract the combined length of the two gates from the perimeter:
P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m
So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
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Find the value of x. Write your answer in simplest form.
Answers
Answer:
\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)
Help please!What is the x-intercept of the line?X=-36 Y=-117X=-27 Y=-98X=-18 Y=-79
Answers
we nee to write the equation, the general form is
\(y=mx+b\)where m is the slope and b the y-intercept
first find the slope
\(m=\frac{y2-y1}{x2-x1}\)where (x2,y2) is a right point from (x1,y1)
we will use two points from the table ( -36 , -117 ) ( -27 , -98 )
so replacing
\(\begin{gathered} m=\frac{-98-(-117)}{-27-(-36)} \\ \\ m=\frac{19}{9} \end{gathered}\)we replace the slope on the equation
\(y=\frac{19}{9}x+b\)now repalce any point of the table on the equation to find b
I will use (-18,-79)
\(\begin{gathered} (-79)=\frac{19}{9}(-18)+b \\ \\ -79=-38+b \\ \\ b=-79+38 \\ b=-41 \end{gathered}\)so, the y-intercept of the line is (0,-41) and the general euqation of the line is
\(y=\frac{19}{9}x-41\)An electrician charges $50 for the first hour and $5.50 for each additional hour. Write an equation to represent the amount the electrician will earn
Answers
Answer:
50+5.50x
Step-by-step explanation:
I really hope this helps.
At midnight the temperature is -6c. At midday the temperature is 9c. By how much did the temperature rise?
Answers
Answer:
The temperature increased by 15 degrees 6+9=15
Step-by-step explanation:
Hope it helps
Let h be a polynomial function. Which statements indicate that -3 is a zero of h? Select all that apply.
•h(-3) = 0
•h(0) = -3
•(x-3) is a factor of h
•(x+3) is a factor of h
•The graph of h (x) shows an intercept at x = -3
•The graph of h (x) shows an intercept at y = -3
Answers
h(-3) = 0 [by definition]
(x+3) is a factor of h [factor theorem]
•The graph of h (x) shows an intercept at x = -3 [\(x\)-intercepts represent roots]
Is it possible for an angle in a triangle to be opposite both the longest side of the triangle and the shortest side of the triangle? Explain.
Yes, if the triangle is equilateral, then all the sides lengths are the same.
No, it is not possible because all three sides must be different lengths.
Yes, if the triangle is a right triangle, then all of the side lengths are the same.
Yes, if the triangle is isosceles, then the base angles are across from the two congruent sides.
PLZ HELP QUICK!!!!!
Answers
Answer:
The correct answer is B. No, it is not possible because all three sides must be different lengths.
Step-by-step explanation:
As you might guess, the largest angle will be opposite 18 because it is the longest side. Therefore, the angle measure in the middle will be opposite 13. Theorem: If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side.
What is the geometric mean of 32 and 45? Round your answer to the nearest tenths place.
Answers
Write an equation of the line that passes through (0, -1) and is perpendicular to the line y = 1/9x + 2
An equation of the perpendicular line is y =
Answers
The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.
To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.
The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.
Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.
y = -9x + b
Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:
-1 = -9(0) + b
-1 = b
Therefore, the y-intercept (b) of the perpendicular line is -1.
Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:
y = -9x - 1
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Which value of n makes the following equation true?
√n=4
Answers
Answer:
n = 16
Step-by-step explanation:
The equation is,
→ √n = 4
Solving for the value of n,
→ √n = 4
→ n = 4²
→ [ n = 16 ]
Hence, the value of n is 16.