Fill out the chart please!
The dot plot and the box plot shown both represent Manuel’s data. Determine which visual display is more useful for answering each of the questions listed in the table, and explain your reasons.
Answers
1. Mean of the data: 8
2. Median: 8
3. IQR = 4
4. Members that use the facility 10 days a month is: 2.
See reasons below.
What is the Mean, Median, and Interquartile Range of a Data?Mean = sum of all values ÷ number of data values (easily solved using a dot plot
Median = middle value (easily found using a box plot).
Interquartile range (IQR) = Q3 - Q1 (easily found using a box plot).
1. Mean of the data: use the dot plot.
Reasoning: (3 + 3 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 11 + 12 + 14)/15 = 8
2. Median of the data set: Using the box plot, it is the value indicated by the vertical line that divides the box.
Median = 8
3. IQR = Q3 - Q1 = 10 - 6
IQR = 4
4. Members that use the facility 10 days a month, using the dot plot is: 2. 10 has 2 dots.
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Related Questions
If the population of
an alien race doubles
every two minutes,
how long will it take
for the population to
grow from 1,000 to 32,000 ?
Answers
1,000 * 32 = 32,000
It will take 32 minutes for the population to grow from 1,000 to 32,000.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If the population of an alien race doubles every two minutes,
1,000 x 32 = 32,000
Hence, It would take 32 minutes.
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In circle O, ST is a diameter.
Circle O is shown. Line segment S T is a diameter. Line segments R O and U O are radii. Angles R O U and U O T are congruent. The measure of arc R S is (2 x + 8) degrees, the measure of arc R U is (3 x minus 14) degrees, and the measure of arc U T is (3 x minus 14) degrees.
What must be the value of x?
22.0
25.0
25.4
37.2
Answers
The value of x must be 25.0. The correct option is the second option- 25.0
Solving Linear equationsFrom the question, we are to determine the value of x
From the given diagram, we can write that
m ∠SOR + m ∠UOR + m ∠TOU = 180° (Sum of angles on a straight line)
∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°
2x° + 8° + 3x° -14° + 3x° -14° = 180°
Collect like terms
2x° + 3x° + 3x° + 8° - 14° -14° = 180°
8x° -20° = 180°
8x° = 180° + 20°
8x° = 200°
x = 200/8
x = 25.0
Hence, the value of x must be 25.0. The correct option is the second option- 25.0
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Answer:
25.0
Step-by-step explanation:
just took it
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Which number can each term of the equation be multiplied by to eliminate the decimals before solving? –m 0.02 2.1m = –1.45 – 4.81m
Answers
Answer:
Pretty certain it's 100
x+y=5
3x-y=7
solve this equation
Answers
X= (5,0)
Y= (0,5)
Slope is 3 and y intercept is (0,7)
Are the equations 6x-6=3x and x-1=3x equivalent?
Answers
Answer:
No, they aren't the same (equivalent).
Step-by-step explanation:
First, solve for both equations:
Equation #1: 6x-6=3x
Simplifying
6x + -6 = 3x
Reorder the terms:
-6 + 6x = 3x
Solving
-6 + 6x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-6 + 6x + -3x = 3x + -3x
Combine like terms: 6x + -3x = 3x
-6 + 3x = 3x + -3x
Combine like terms: 3x + -3x = 0
-6 + 3x = 0
Add '6' to each side of the equation.
-6 + 6 + 3x = 0 + 6
Combine like terms: -6 + 6 = 0
0 + 3x = 0 + 6
3x = 0 + 6
Combine like terms: 0 + 6 = 6
3x = 6
Divide each side by '3'.
x = 2
Simplifying
x = 2Equation #2: x-1=3x
Simplifying
x + -1 = 3x
Reorder the terms:
-1 + x = 3x
Solving
-1 + x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-1 + x + -3x = 3x + -3x
Combine like terms: x + -3x = -2x
-1 + -2x = 3x + -3x
Combine like terms: 3x + -3x = 0
-1 + -2x = 0
Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1
Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1
Combine like terms: 0 + 1 = 1
-2x = 1
Divide each side by '-2'.
x = -0.5
Simplifying
x = -0.514 + w is the same as which expression?
A
14w
B
14 - w
C
w + 14
D
w - 14
Answers
Answer:
C
Step-by-step explanation:
14 + w is the same as w + 14
Answer:
C. w + 14.
Step-by-step explanation:
The order does not matter when you are adding terms.
this is called the Commutative Property of Addition.
On a test that has a normal distribution, a score of 30 falls three standard deviations below the mean, and a score of 60 falls three standard deviations above the mean. Determine the mean of this test.
Answers
Answer:
45Step-by-step explanation:
Let μ - mean, σ - standard deviation.
Given:A score of 30 falls three standard deviations below the mean:
μ - 3σ = 30A score of 60 falls three standard deviations above the mean:
μ + 3σ = 60Add up the two expressions and find the value of μ:
μ - 3σ + μ + 3σ = 30 + 602μ = 90μ = 45The mean is 45
I need help please question is in the image
Answers
This Stem-and-Leaf Plot shows the scores of 10 students on a recent math test.
Which statistic is most affected by the lowest score?
A. the mean
B. the median
C. the mode
D. the mean and the median
Answers
The statistic that is most affected by the lowest score is A. the mean
How to determine the most affected statistic?The stem and leaf plot is missing from the question;
However, the question can be solved without it.
The lowest score on the stem and leaf plot is an outlier of the plot.
In statistics, outliers have huge effect on the mean of the dataset and they have little or no effect on the median and mode
This means that, the statistic that is most affected by the lowest score is A. the mean
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Solve: -1/2 + c = 31/4
(1/2 and 31/4 are fractions)
Answers
[tex]~~~-\dfrac 12 + c = \dfrac{31}4\\\\\\\implies c = \dfrac{31}{4}+\dfrac 12\\\\\\\implies c = \dfrac{31}{4}+ \dfrac 24\\\\\\\implies c = \dfrac{31+2}{4}\\\\\\\implies c = \dfrac{33}4[/tex]
1
Use f(x) = ½ x and ƒ˜¹(x) = 2x to solve the problems.
f(2)=
f¹1)=[
f(f(2)) =
Answers
Answer:
f(2) = 1
(1) = 2
(f(2)) = 2
Step-by-step explanation:
f(x) = x
(x) = 2x
f(2) = (2)
f(2) = 1
(1) = 2(1)
(1) = 2
(f(2)) = 2((2))
(f(2)) = 2(1)
(f(2)) = 2
The function's solution is given as follows:
f(1) = 2
f(f(2)) = f(1) = f(1) = 1/2
What is a function?A function is a mathematical formula that illustrates the relationship between the dependent and independent variables.
The independent variable's value and the dependent variable's value both change in the function.
Mathematical expression is defined as the relationship between numerical variables and mathematical operations such as addition, subtraction, multiplication, and division.
For the given function [tex]f(x) = \dfrac{1}{2}x[/tex],
[tex]f(2) =\dfrac{1}{2} (2) = 1[/tex]
For the given function [tex]f^{-1}(x) = 2x[/tex],
[tex]f'(1) = 2(1) = 2[/tex]
Therefore, the solution for the function is [tex]f^{1}(1) = f^{-1}(1) = 2[/tex]
The composition of functions to find f(f(2)):
[tex]f(f(2)) = f(1) = \dfrac{1}{2} (1) = \dfrac{1}{2}[/tex]
Therefore, the solution for the function [tex]f(f(2)) = \dfrac{1}{2}[/tex].
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Select the correct answer. if a coin is flipped 10 times, what is the probability that it will show all heads or all tails? a. b. c. d. e.
Answers
Answer:
Step-by-step explanation:
1/2 chance for 1
1/4 for 2
1/8 for 3
1/16 for 4
1/32 for 5
1/64 for 6
1/128 for 7
1/256 for 8
1/512 for 9
1/1024 for 10
Find the exact length of side a.
Answers
The exact length of a which is equivalent to BC is 7units
Cosine ruleA triangle is a shape with 3 sides and angles. In order to determine the sides BC, we will use the cosine rule
c² = a² + b² - 2abcosC
Given the following parameters
b = 2
c = 5√3
theta = 30 degrees
Substitute
c² = 2² + (5√3)² - 2abcos30
c² = 4 + 75 - 2(2)(5√3)*√3/2
c² = 79 - 30
c² = 49
c = 7 units
Hence the exact length of a which is equivalent to BC is 7units
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Write an equation in slope intercept form of the line that passes through the point (0,4) with slope 2
Answers
Answer:
y=2x+4
Step-by-step explanation:
From(0,4)
y intercept=b=4Equation in slope intercept form
y=mx+by=2x+4Find the measure of angle F if angle D = 88°
Answers
Answer:
52
Step-by-step explanation:
Two triangles are similar
m<B = m<E
m<C = m<D
m<A = m<F
now, the sum of interior angles in a triangle is equal to 180
angle B is given as 40 (so angle E is also 40) and angle D is given as 88 to find m<F:
40 + 88 + m<F = 180 add like terms
128 + m<F = 180 subtract 128 from both sides
m<F = 52
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Philani bough a scooter for R15 000. He paid 15% of the amount in cash and sgned a hire-purchase agreement to pay the balance in 24 equal monthly instalments. The interest rate is 10% per annum.
How much did he pay in cash?
Calculate the total amount that he must still pay.
Answers
HELP ME PLEASE!!!
.................................................
Answers
Answer:
Step-by-step explanation:
Explanation: find the hypotenuse of the 1st triangle a^2 + b^2 = c^2 -> 9*9 + 5*5 = c^2
Which is 81+25 = c^2 -> 106 = c^2 now square root c = 10.3
Now you have the hypotenuse of the triangle on the left notice that the hypotenuse we just solved for is actually a leg for the triangle on the right. Now you can use the hypotenuse formula for x.
10.3^2 + 4^2 = x^2 -> 106.09 + 16 = x^2
Next, 122.09 = x^2 now we need to square root to isolate the square (2). x = 11.04 when rounded the closest radical is you answer x=11
What is the ratio of the area of sector abc to the area of sector dbe? a. b. c. d. e.
Answers
The ratio of the area of sector abc to the area of sector dbe is 4/3
How to determine the ratio of the areas?For sector abc, we have:
Angle = x
Radius = 2r
For sector dbe, we have:
Angle = 3x
Radius = r
The area of a sector is:
[tex]Area =\frac{\theta}{360}* \pi r^2[/tex]
So, we have:
[tex]ABC =\frac{x}{360}* \pi (2r)^2[/tex]
Evaluate
[tex]ABC =\frac{x* \pi r^2}{90}[/tex]
For DBE, we have:
[tex]DBE =\frac{3x}{360}* \pi (r)^2[/tex]
Evaluate
[tex]DBE =\frac{x}{120}* \pi r^2[/tex]
The ratio of both areas is:
[tex]Ratio = \frac{x}{90}* \pi r^2 : \frac{x}{120}* \pi r^2[/tex]
Cancel out the common factors
[tex]Ratio = \frac{1}{90} : \frac{1}{120}[/tex]
Express as fraction
[tex]Ratio = \frac{120}{90}[/tex]
Divide
[tex]Ratio = \frac{4}{3}[/tex]
Hence, the ratio of the area of sector abc to the area of sector dbe is 4/3
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4/3
its the answer edmentum
please help... Identify the shape of a cross section of the cone below.
Answers
Answer:
The vertical cross-section of a cone is a triangle, and the horizontal cross-section is a circle.
Step-by-step explanation:
what is an equation for the circle with center 92,40 and radius 7
Answers
Answer:
17 i think im like 30 pecent sure
Please answer its iready press the image below.
30 points btw
Answers
Answer:
alternate exterior angles
Step-by-step explanation:
<3 i hope this helps! sorry if it doesnt :)
Drag the expressions to show the order of their quotients from least to greatest
Answers
Answer:
by solving the divisions
Step-by-step explanation:
8/9 ÷ 7/11 = 8/9 × 11/7 = 88/63 = 1.4019/12 ÷ 3/10 = 19/12 × 10/3 =190/36 = 5.2819/12 ÷ 1/15 = 19/12 × 15 = 285/12 = 23.758/9 ÷ 3/10 = 8/9 × 10/3 = 80/27 = 2.96.
now from the solutions you can get the least to greatest
1.40 , 2.96, 5.28 and 23.75
After getting answer in decimal form change it to fraction like how they set the question
i need the answer quickly
Answers
Answer:
scatter plot 3
Step-by-step explanation:
No correlation exists when there is no relationship between two variables. For example there is no relationship between the x-axis to the y-axis while the other plots has noticeable linear correlation.
The figure below shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true? (1 point)
It is fraction negative 1 over 3 throughout the line.
It is −3 throughout the line.
The slope from point O to point A is one-third times the slope of the line from point A to point B.
The slope from point O to point A is three times the slope of the line from point A to point B.
Answers
Answer: A
Step-by-step explanation: took the test, got it right.
help me on this question. If l || m, m7 = 2x and m2 = x, then what is the measure of angle 2?
Answers
Answer:
i dont know bc its not the complete expression
Step-by-step explanation:
A pilot scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 10 minutes. Air traffic control approved a new flight plan that will allow her to arrive three times faster then she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.
A. Y = 1/3x + 10
B. Y = 3x + 10
C. Y = 1/3x - 10
D. Y = 3x - 10
Answers
y = (1/3)x+10
=============================================================
Explanation:
x = number of minutes of the original flight
Because the pilot travels 3 times faster than before, it means she travels 1/3 of the original time. If she took x minutes on the original flight, then she will take (1/3)x minutes for the new faster flight.
Then add on the 10 minute delay to end up with (1/3)x+10
Use inductive reasoning to find the 10th term in the sequence 5, 8, 11, 14, ...
34
32
50
17
Answers
Answer: 32
Step-by-step explanation: this is arithmetic sequence
general formula = a+(n-1)d
nth term = 5+(n-1)3
=5+3n-3
=2+3n
10th term = 2+3(10)
=32
chandra is constructing a weighted bookend for her shelf. it is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it down
Answers
Since it is said to be a hollow rectangular prism, she will fill it with sand to weigh it about (573 + 9/2) cubic inches.
What is the prism about?
Note that the volume is said to be:
V = L x B x H
316 in = 6 √2 x 2 √3
The answer is 573 while the other part of the prison is 9√2 cubic inches.
Therefore, option A is correct.
See full question below
Chandra is constructing a weighted bookend for her shelf. It is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it
down
6 √(2 in
316 in
2 √3 in
What is the volume of the bookend?
(Hint: The volume of a rectangular prism is the product of its length width and height.)
OA (573 + 9/2) cubic inches
B. 36/12 cubic inches
C 108 cubic inches
D. 216 cubic inches
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need rn. worth 30.
A librarian wants to have an employee reading contest. She asks her employees to volunteer to read as many books as possible in one week.
Which sentences explain how randomization is not applied in this situation?
Answers
Considering the situation described, the confidence interval is given by:
(0.35, 0.51).
What is a confidence interval?It is given by the estimate plus/minus the margin of error.
For this problem, we have that:
The estimate is of 0.43.The margin of error is half the range of the observations, hence M = (0.48 - 0.32)/2 = 0.08.Then, the bounds of the interval are given by:
0.43 - 0.08 = 0.35.0.43 + 0.08 = 0.51.More can be learned about confidence intervals at https://brainly.com/question/25890103
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Patty had four times as many quarters as nickels. She had $12.60 in all. How many nickels and
she have?
Answers
Answer:
Hi,
Step-by-step explanation:
Let say n the number of nickels
4*n the number of quaters.
Let's calculate in cents:
n*5+4*n*25=1260
5n+100n=1260
105*n=1260
n=12 (number of nickels)
4n=48 (number of quaters)
Proof: 12*5+48*25=1260
Answer is equation B