Answer
The class width is 10
SOLUTION
Problem Statement
We are given a table with classes and their corresponding frequencies. We are asked to find the class width of each class
Method
To solve this question, we shall perform these steps:
Step 1. Calculate the range of the entire data set by subtracting the lowest point from the highest,
Step 2. Divide it by the number of classes.
Step 3. Round this number up (usually, to the nearest whole number).
Implementation
Step 1:
Calculating the range. The highest number in the class is 109 while the least number is 60. Thus, the range of the data is:
\(\begin{gathered} \text{Range}=\text{Highest}-\text{Lowest} \\ \text{Range}=109-60 \\ \\ \therefore\text{Range}=49 \end{gathered}\)Step 2:
Divide the range by the number of classes.
- The number of classes is gotten by counting the number of cells in the Class column on the table. There are 5 classes after counting
Now, let us divide the result from Step 1 by this result.
\(\frac{49}{5}=9.8\)Step 3:
Round the result of step 2 up.
\(9.8\approx10\)Final Answer
The class width is 10
Over the last semester, Mr. Finch kept track of the number of student
absences, Now that the semester is over, he wants to see if there is a linear
relationship between the number of absences and a student's grade for the
semester. The data he collected are given in the table.
A scatter plot of the data is shown in the image attached below.
An equation for the least squares regression line (trend line) is y = -3.49x + 93.14
How to determine a line of best fit for the data?In order to determine a linear equation for the least squares regression line (trend line) that models the data points contained in the table (see attachment), we would have to use a scatter plot.
In this scenario, the number of absences would be plotted on the x-axis of the scatter plot while the algebra grade would be plotted on the y-axis of the scatter plot.
On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the trend line on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the number of absences and algebra grade in the table, a linear equation for the least squares regression line (trend line) in terms of the problem is given by:
y = -3.49x + 93.14
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The triangles shown below must be congruent
A. True
B. False
what demensions does plane use?
Answer:
Planes are two-dimensional.
Step-by-step explanation:
Answer:
length and width
Step-by-step explanation:
a plane uses length and width as their dimensions but are unmeasurable because they extend infinitely
A PLANE IS 2D
Good luck!
A Sumer job pays $5 per hour
b. After working 24 hours, do you have enough money to buy an MP3
player that costs $100? Explain your reasoning.
Answer:
Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.
Step-by-step explanation:
hourly pay: $5/hour
number of hours: 24 hours
total pay = hourly pay × number of hours
total pay = $5/hour × 24 hours
total pay = $120
MP3 player costs $100.
Total pay is $120.
Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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5, Combine like terms: 8C C+ 12
Answer:
9c + 12
Step-by-step explanation:
Answer:
9c+12
Step-by-step explanation:
If red is = -1 and yellow is = +1
what problem and solution are modeled below?
A. - 5 + 8 = 3
B. -10 - 3 = -13
C. 10 + - 3 = 8
D. -8 + 5 = - 3
Answer:
D.
MARK ME BRAINLIEST CORRECT AMSWER IS GIVENThe triangle will be rotated 90 degrees counterclockwise about the origin. what will be the coordinates of the imagine point Q
Answer:
the points for Q would be (-1,-1)
Step-by-step explanation:
oh i hope im right im sorry if wrong
Sanda withdrew $14.50 from his bank account for 6 weeks. What was the total change in his bank account after six weeks?
Answer:
87 is what he took out after six weeks is that it or?
Rectangle A measures 6 cm by 4 cm. Rectangle B is a scaled copy of rectangle A. Select all of the measurements that could be the dimensions of rectangle B
The scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are 12cm by 8cm and 48cm by 32cm .
It is required to find the measurements that could be the dimensions of rectangle B.
What is rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
Given :
Length=6 cm
width=4cm
According to given question we have,
Divide the length and the width of the rectangle we get=
k=Length/width
k=6/4
k=1.5
This means that a scaled copy of rectangle A must have a value of 1.5
when the dimensions are divided.
Possible rectangles are:
A. 12cm by 8cm
Divide the length and the width of the rectangle we get,
k=12/8
k=1.5
B. 48cm by 32cm
Divide the length and the width of the rectangle we get,
k=48/32
k=1.5
Therefore, the scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are 12cm by 8cm and 48cm by 32cm .
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I’ll give points + brainalist
The line which is parallel to the given line y = -2x/3 + 1 is 2x+3y=-18, there slopes are equal
How to fine the line that is parallel to the given lineGiven data
line y = -2x/3 + 1
The equation of a line is represented as y = mx + c where m represents the slope. The unique feature of parallel line is that the slopes are equal.
Hence we find the line that has same value of m which is the slope
using the second option: 2x+3y=-18
2x + 3y = -18
3y = -2x - 18
y = -2x/3 - 6
the slope here is m = -2/3 which is equal to the slope of the given equation and hence the correct option
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Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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Elroy bought a $4210 custom video gam e/ virtual sound system on a special no-interest plan. He made
The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.
How is the last payment determined?The last payment amount is the result of the mathematical operations of subtraction and multiplication.
The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.
Using multiplication, the monthly payments are determined to be $3,400 for 17 months. This is subtracted from the remaining balance to obtain the last payment amount.
The cost of a custom video game/virtual sound system = $4,210
Down payment = $100
The remaining balance for monthly payment = $4,110 ($4,210 - $100)
Payment period = 18 months (1¹/₂ years)
Monthly payments = $200
Payment for the first 17 months = $3,400 (17 x 200)
Last payment = $710 ($4,110 - $3,400)
Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.
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Question Completion:He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?
Using substitution, what is the solution for the system of equations below?
Hey there!
Substitute x = 2 to y = 3x - 1
=> y = 3(2) -1
=> y = 6 - 1
=> y = 5
x = 2,y = 5
I need help with this please
Answer: A
Step-by-step explanation:
For there to be a negative association between x and y, the slope of the graph must be negative (so when x is increasing, y is decreasing).
From this, we can immediately eliminate sets B and D.Now, we just need to determine which one has a linear relationship.
For set A, we see a constant decrease of 1 in the value of y for each time x increases by 1, so this is linear.For set C, there is no consistent decrease in the value of y for each time x increases by 1, so this is not linear.The length of a rectangle is 3.7 inches when rounded to the nearest tenth of an inch.
Answer:
what is the answerrrrrrrStep-by-step explanation:
HELP SMART PEOPLE YALL GOT THIS ! HELP ME OUT ! :\\
The Height of an object is directly proportional to the length of its shadow. A tree that is 2.5 meters tall cast a shadow 5 meters long. How Tall is a building that cast a shadow 78 meters long?
12.5 ft. tall.
Step-by-step explanation:
Answer:
I think 27 meters long but I don't really know for sure
Solve for x trignometry
9514 1404 393
Answer:
23.44
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation ...
Tan = Opposite/Adjacent
tan(38°) = x/30
x = 30·tan(38°) ≈ 23.4386
x ≈ 23.44
The list below shows the different choices of pizza at the local pizza shop: Pepperoni: 11 Supreme: 7 Cheese: 6 Hawaiian: 3 Based on these results, what is the theoretical probability of choosing a Hawaiian Pizza?
Step-by-step explanation:
11 + 7 + 6 + 3 = 27
total amount of pizza = 27
Hawaiian pizza = 3
3/27 = 1/9
Which of the following have the correct solution? Check all
that apply.
0 2x + 5 = 19; x = 7
3 + x + 2 - x = 16; x = 3
X +2
= 2; x=8
5
0 6 = 2x – 8; x = 7
14 = x +5; x = 18
Step-by-step explanation:
To do this, we will substitute the x values to their corresponding equations,
1)
\(2x + 5 \\ = 2(7) + 5 \\ = 14 + 5 \\ = 19\)
Given 2x + 15 = 19
Calculated 2x + 15 = 19
Given = Calculated, this solution is correct.
2)
\(3 + x + 2 -x \\ = 3 + 3 + 2 - 3 \\ = 8 - 3 \\ = 5\)
Given 3 + x + 2 - x = 16
Calculated 3 + x + 2 - x = 5
Given not equal to calculated, this solution is incorrect.
3)
\( \frac{x + 2}{5} \\ = \frac{8 + 2}{5} \\ = \frac{10}{5} \\ = 2\)
Given (x+2)/5 = 2
Calculated (x+2)/5 = 2
Given = Calculated, this solution is correct.
4)
\(6 = 2x - 8 \\ 2x - 8 = 6\)
\(2x - 8 \\ = 2(7) - 8 \\ = 14 - 8 \\ = 6\)
Given 2x - 8 = 6
Calculated 2x - 8 = 6
Given = Calculated, this solution is correct.
5)
\(14 = \frac{1}{3} x + 5 \\ \frac{1}{3} x + 5 = 14\)
\( \frac{1}{3} x + 5 \\ = \frac{1}{3}(18) + 5 \\ = \frac{18}{3} + 5 \\ = 6 + 5 \\ = 11\)
Given 1/3x + 5 = 14
Calculated 1/3x + 5 = 11
Given not equal to Calculated, this solution is not correct.
Therefore the Correct solutions are 1,3 and 4.
Question 2 (1 point)
Identify a pattern in each list of numbers. Then use this pattern to find the next
number.
5, 12, 33, 96, 285,
Answer:
caca
Step-by-step explanation:
you sailed 0.032 units to the left and found treasure at 0.248 units find where the ship started
What is the x-intercept of this equation: 6x + 2y = -8
Answer:
4, 0
Step-by-step explanation:
Answer:
\((\frac{-4}{3}, 0)\)
Step-by-step explanation:
The x-intercept of any equation is the point where \(y=0\).
Aha! We plug in \(y=0\) into the equation to get \(6x+2(0)=-8\), which gives \(6x=-8\), which gives \(x=\frac{-8}{6}\) which gives \(x=\frac{-4}{3}\).
So, our answer is \(\boxed{(\frac{-4}{3}, 0)}\) and we're done!
Help me
What is the constant of proportionally, K?
Determine the distance in miles traveled bye the probe in 5.5 hours
Answer:
I) Yes, the graph represent a proportional relationship
ii) 1200miles/hour
iii) 66,000miles/hour
Question:
The complete question related to this found at brainly (question:14811794) is stated below:
The graph shows the relationship between x, the amount of time in hours and y, the distance traveled in miles, by a probe before it reaches Mars. Does the graph represent a proportional relationship? Justify your answer.
What is the constant of proportionally, k?
Determine the number of miles the probe travels in 5.5 hours.
Step-by-step explanation:
Find attached the graph.
i) We are informed the graph shows the relationship between x.
For the graph to represent a proportional relationship, it must meet the condition y = kx
Where y is the dependent variable
x is the independent variable
k = constant of proportionality
From the graph, y = distance in miles
x= time in hours
y = kx is a linear equation with no intercept
The graph shows a straight line starting from origin. Therefore, the graph represent a proportional relationship.
ii) To determine k, we pick any value of y that corresponds to a value of x on the graph and insert in the equation: y = kx
For coordinates (2, 24000)
When y = 24000miles, x = 2hours
24000 = k × 2
k = 24000/2 = 12000miles/hour
Therefore, the constant of proportionally, k = 12000miles/hour
ii) To determine the number of miles the probe travels in 5.5 hours, we would use the relationship between y and x.
since k = 12000, the relationship:
y = 12000x
When x = 5.5hours, y = ?
y = 12000×5.5
y = 66,000miles/hour
Therefore, the number of miles the probe travels in 5.5 hours = 66,000miles/hour
The translation of triangle BPU (-36, 20), (28, 16), and (8, 12) after a dilation is (9, -5), (-7, -4), and (-2, -3). What is the dilation?
The dilation factor is 1/ 4
What is dilation:
Dilation is a transformation in geometry that changes the size of a shape, but not its shape or orientation. It is a type of transformation that enlarges or reduces the size of a geometric figure by a certain scale factor, which is a ratio of the corresponding lengths of the original figure and the transformed figure
Here we have
The translation of triangle BPU (-36, 20), (28, 16), and (8, 12) after dilation is (9, -5), (-7, -4), and (-2, -3).
Here the dilation factor will equal the ratios of the corresponding sides of both triangle
So to find the dilation factor
Find any two corresponding sides of two triangle
From BPU (-36, 20), (28, 16), and (8, 12)
Length of the side with joining points (-36, 20), (28, 16),
=√[ (28 + 36)² + (16 - 20)²] [ Using the distance formula ]
= √4096 + 16
= 64.12
From the diluted triangle (9, -5), (-7, -4), and (-2, -3).
Length of side with joining points (9, -5), (-7, -4)
= √[(-7 – 9)² + (-4 + 5)²]
= √[256 + 1 ] = 16.03
Hence, The dilation factor = 16.03/64.12 = 1/4
Therefore,
The dilation factor is 1/ 4
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Susie's School 5/8 of her students play sports of the students who plays Sports 2/5 play soccer what fraction of students and Susie School play soccer (with steps pls)NO LINKS
=================================================
Explanation:
Let's say this school has 1000 students.
5/8 of that amount is (5/8)*1000 = 625. There are 625 students who play sports.
Then we take 2/5 of this to get (2/5)*625 = 250 to represent the number of people who play soccer.
The last step is to divide that result over the original number of students. Reduce as much as possible.
250/1000 = 25/100 = 1/4
Therefore, 1/4 of all the students play soccer
If you know the answer please put the answer and the explanation thank you.
In the class, Lucy's score is 6.
How to work out Lucy's score?In statistics, the median is the middle value in a sorted, ascending or descending list of numbers. Thus, it represents the midpoint of the data.
The median is often compared with other descriptive statistics such as the mean (average), mode, and standard deviation.
Since Lucy is one of the 29 students in the class and her score was the same as the median score for her class.
Thus, the median score will be 15th score (i.e. the midpoint of 29). Using the frequency in of each score from the figure, let's keep adding the frequency until we reach 15 and we will then check the corresponding score at the 15th position:
2 + 2 + 4 + 7 = 15
Thus, the the corresponding score at the 15th position is 6.
Therefore, the median score is 6 and consequently Lucy's score is 6.
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Write a two-column proof for the following information. Upload your proof below.
Given: M is the midpoint of CD; CM = 5x – 2; MD = 3x + 2
Prove: x = 2
The required two column proof is explained below.
What is a midpoint?A midpoint is a point which divides a line segment into two equal parts. Thus it can be referred to as the middle point of the line segment.
The two column proof for the information is given as:
M is the midpoint of CD (Given)
CD = CM + MD (addition property of a line segment)
CM = MD (definition of a midpoint)
So that;
5x – 2 = 3x + 2 (Definition of midpoint)#
Then,
5x - 3x = 2 + 2 (collecting like terms)
2x = 4
x = 2
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The weight, in pounds, of a newborn baby t months after birth can be modeled by the equation W=1.75t+6. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer:
the slope is 1.75
Step-by-step explanation:
Interpretation: The weight of newborn is 6 lb at birth, and every month baby gained 1.75 lb. You replace x with month you want to know the weight. For example you can calculate the weight after 4 month : w= 1.75(4)+6= 13 lb
D) 5. Which situation can be represented by 3s = 5s– 6?
Answer:
zzzzzolcialmmmmed1a
Step-by-step explanation:
z0mb13br41n5f1r3k1n6