Answer:
hi ...huyfcthnvd5yijhg7
The following dot plot shows the number of songs on each album in Saiâs collection.
Each dot represents a different album. What is the total number of albums in Saiâs collection?
A. 10
B. 17
C. 7
Option B) 17
A simple kind of data visualization known as a "dot plot" involves the representation of data points as dots on a graph with x and y axes. Sai has 17 albums in his collection altogether.
Given data;
6 = 0; 7 = 1 ; 8 = 2; 9 = 2; 10 = 4; 11 = 1; 12 = 2; 13 = 2; 14 = 1; 15 = 0; 16 = 2
\(= 1+2+2+4+1+2+2+1+2\)
\(=17\)
The total number of albums in Sai collection is 17
A basic style of data visualization called a dot plot, often referred to as a strip plot or dot chart, shows data points as dots on a graph with x and y axes. The purpose of these graphs is to visually portray particular data patterns or groups.
Each dot in the provided dot plot represents an album. As a result, the total number of dots in the dot plot equals the total number of albums in Sai's collection.
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which of the following represents an example to calculate the sum of numbers (that is, an accumulator), given that the number is stored in the variable number and the total is stored in the variable total?
The formula "total += number" provides an illustration of how to calculate the sum of numbers given that the number is saved in the variable number and the total is saved in the variable total (i.e., an accumulator).
What is the sum of numbers?When a group of numbers, known as addends or summands, are added together in mathematics, the outcome is their sum or total.
Functions, vectors, matrices, polynomials, and, generally, any sort of mathematical object on which an operation labeled "+" is defined can all be added together, in addition to numbers.
Series are summations of infinite sequences.
These are related to the idea of limits but are not covered in this article.
Given that the number is stored in the variable number and the total is saved in the variable total, the formula total += number gives an example of how to calculate the sum of numbers (i.e., an accumulator).
Therefore, the formula "total += number" provides an illustration of how to calculate the sum of numbers given that the number is saved in the variable number and the total is saved in the variable total (i.e., an accumulator).
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Correct question:
What represents an example to calculate the sum of numbers (that is, an accumulator), given that the number is stored in the variable number and the total is stored in the variable total?
Find the nth term of this quadratic sequence
3, 11, 25, 45, …
Using the principle of mathematical induction, the \(n^{th }\) term of the given quadratic sequence is found to be 3n² - n + 1.
What exactly is mathematical induction?Mathematical induction is a technique for proving the truth of a statement, theorem, or formula for each and every natural number n. This is generalized as the 'Principle of Mathematical Induction,' which we would use to prove any mathematical statement.Given sequence: 3, 11, 25, 45,...
The first term of the sequence is 3, the second term is 11, the third term is 25, and the fourth term is 45.
The difference between the first and second terms can be calculated as follows:
11-3 = 8
The difference between the second and third terms can be calculated as follows:
25-11 = 14
The difference between the third and fourth terms can be calculated as follows:
45-25 = 20
The sequence is expressed as follows:
3,3+8,11+11,25+20,...
The difference between consecutive terms expands by 6.
Use the principle of mathematical induction.
\(6(\frac{n(n+1)}{2})\)
= 3n(n+1)
The sequence's nth term can be calculated as follows:
\(n^{th }\) term = 3n(n+1) - 4n + 1
= 3n² - n + 1
Therefore, the \(n^{th }\) term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.
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For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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This lesson asked you to investigate what it means for data to fall within 1, 2, and 3 standard deviations from the mean in a variety of normal distribution curves. Imagine that you hold a position on your city council and are in charge of creating new programs to benefit members of your community. In some cases, you must also decide which parts of the population are eligible for enrollment in a given program. How might the concept of standard deviations from the mean be interpreted in your decisions? For example, is it fair to make most programs only available to populations within 1 standard deviation from the mean? Can you imagine cases where you might want to create new programs for people who fall toward the extreme ends of the distribution? Give your opinion as well as some examples.
Answer:
The data in statistics is generally supposed to deviate or vary from the mean. Standard deviations of 1, 2, and 3 are commonly used to calculate variability according to the empirical norm. In a normal distribution, we estimate 68 percent, 95 percent, and 98 percent of the data to be within 1, 2, and 3 standard deviations of the mean, respectively. This implies that the given percentage of data will lie within an interval of less than or greater than the standard deviation. If the values within a given standard deviation from the mean are standardized, the z value will always be equal to or less than the given standard deviation.
We should look at a program that aims to help people get out of poverty by using the standard deviation principle. The aim of the program is to provide free seeds to poor people who have been suffering from low yields due to the use of local seeds. If we use the definition of one standard deviation of the mean, or 2 and 3, we will favor the majority of people, but we will leave the poorest people in society behind.
Three students each have a different whole number of lollies. If any two of them pair up to share their lollies evenly with each other, the pair of students could be sharing 12, 14, or 18 lollies.
What is the total number of lollies that all three of them have together?
Answer:
Nb
Step-by-step explanation:
ese:
If it takes 8 tablespoons of ground beans to make 3 cups of coffee, exactly
how many tablespoons of ground beans would make 10 cups of coffee?
If f(y)=5y-3 determine the value of y when f(y)=-8
The value of y when f(y) = -8 is -1.
Given,
f(y) = 5y - 3
We have to find the value of y if f(y) is given as -8
f(y) = 5y - 3
Substitute f(y) = -8 in the expression.
-8 = 5y - 3
Add 3 to both sides
-8 + 3 = 5y - 3 + 3
We get,
3 - 8 = 5y
That is,
-5 = 5y
Divide both sides by 5
-5/5 = 5y/5
Then,
-1 = y
That is, the value of y when f(y) = -8 is -1.
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Make a paragraph about being a young writer. Put the paragraph in your own words. Please put the paragraph IN YOUR OWN WORDS.
100 points
Answer:
to me being a young writer means to have a burning passion for writing. when it comes to writing at a young age oh, that's the best time to be a writer because your imagination is so active it comes up with amazing ideas. I would like to share about when I started writing around the age of eight, I would write tons of stories about My Little Pony characters and the Monster High characters, sometimes even Adventure Time and I was always very detailed when it came to writing. around the age of 12 13 I started writing love stories, but I kept it PG, sometimes PG-13, but it was love stories about Creepypastas and stuff like that. I was a bit of a loser when it came to writing , to be honest I wish I would have kept writing but I stopped.
Lincoln started a new job and kept track of his earnings each week as shown below. Lincoln's Total Earnings Week Total Earnings (in dollars) 1 120 2 180 240 3 300 a) What is the pattern for the total earnings each week?
the pattern for the total earnings each week is an increase of $60
Explanation:
From the table, each week the earnings increased by certain amount.
We need to determine the amount.
earning in week 2 - earnings in week 1 = 180 - 120
= 60
earning in week 3 - earnings in week 2 = 240 -180
= 60
earning in week 4 - earnings in week 3 = 300 - 240
=60
Fromthe above, we can see the change in earnings is constant.
It increases by $60 every week
Hence, the pattern for the total earnings each week is an increase of $60
Can you help me in this question
9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
The elements are 1, 4, {4}, {9}. That is, any subset that includes 1 must include it without braces. Any subset that includes 9 must include it with braces.
{4, {9}, 1} is a subset of A
A survey asks 100 students whether they prefer a new music center or a new computer center. Of the 49 males surveyed, 30 prefer a music center. A total of 44 students prefer a computer center. Which two-way table represents the results of the survey?
https://brainly.com/question/16148316Based on the given information option D i.e. fourth two-way table represents the results of the survey .
A two way table is a way to display frequencies or relative frequencies for two categorical variables. One category is represented by rows and a second category is represented by columns.
A two-way table is a way to organise data about two specific variables. This example shows a two-way table where the variables are gender and favourite sport. The table holds a lot of information.
Making two way tables
Step 1: Identify the variables.
Step 2: Determine the possible values of each variable.
Step 3: Set up the table.
Step 4: Fill in the frequencies.
On the basis of the given question
Total males = 49 , in which 30 prefer a music center and rest of the males (19) prefer computer center.
Total students = 100 , in which 44 students prefer a computer center and rest of the students (56) prefer music center.
There is no data given for females .
Therefore , on the provided data, option D, or the fourth two-way table, depicts the survey results.
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Based on the given information option D i.e. fourth two-way table represents the results of the survey .
When displaying frequencies or relative frequencies for two categorical variables, a two-way table is used. Columns indicate the second category, whereas rows represent the first.
Data regarding two particular variables can be organized using a two-way table. The variables in this example's two-way table are gender and preferred sport. There is a lot of information in the table.
Creating round tables
First, determine the variables.
Step 2: Establish the range of possibilities for each variable.
3. Position the table.
Fill in the frequencies in Step 4.
Using the posed query as a guide
Total number of guys is 49, of which 30 prefer a music center and the remaining 19 a computer center.
100 pupils total, of whom 44 chose a computer center and the remaining (56 kids) a music center.
There is no information provided for women.
As a result, option D, or the fourth two-way table, shows the survey results based on the data provided.
simplify each algrebraic expression. drag tiles to correct boxes to complete the pairs.
-5x-2 5x+2 5x-2 -5x+2
(a) The algebraic expression, -5x - 2 + 5x + 2 is simplified as 0.
(b) The algebraic expression, 5x -2 - (5x + 2) is simplified as -4.
What is the simplification of the algebraic expression?The given algebraic expression is simplified by adding similar terms together, as it will make the expression to be in simplest form.
The given algebraic expressions are;
-5x - 2 + 5x + 2
5x -2 - (5x + 2)
The first algebraic expression is simplified as follows;
-5x - 2 + 5x + 2
collect similar terms;
(-5x + 5x) + (-2 + 2)
= 0 + 0
= 0
The second algebraic expression is simplified as follows;
5x - 2 - (5x + 2)
= 5x - 2 - 5x - 2
collect similar terms;
= (5x - 5x) + (-2 - 2)
= 0 - 4
= - 4
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Which of the following expressions is equivalent to 50-70x?
SELECT ALL THAT APPLY
A.10(5-7x)
B.25(2-35x)
C.2(25-35x)
D.5(10-70x)
E.10(2-35x)
PLEASE ANSWER NUMBER 2
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
Solve the trigonometric equations for
0∘≤x≤90∘ and match them with their solutions. Picture attached
By algebra properties, the trigonometric equations are listed according to their solutions:
30°: cos 2x = 1 / 2, 5 · sin x = 3 - sin x
60°: 4 · sin² x + 1 = 4, sec² x + tan² x = 7
How to classify trigonometric equations according to its solution
In this problem we must determine what trigonometric equations have 30° as a solution and what other equations have 60° as a solution. This can be done both by algebra properties and trigonometric formulas:
Case A
4 · sin² x + 1 = 4
4 · sin² x = 3
sin² x = 3 / 4
sin x = √3 / 2
x = 60°
Case B
cos 2x = 1 / 2
2 · x = 60°
x = 30°
Case C
sec² x + tan² x = 7
1 + 2 · tan² x = 7
2 · tan² x = 6
tan² x = 3
tan x = √3
x = 60°
Case D
5 · sin x = 3 - sin x
6 · sin x = 3
sin x = 1 / 2
x = 30°
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A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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Find the area of each shape.
Answer:
Square area formula: A = a²
Rectangle area formula: A = a × b.
Triangle area formulas: A = b × h / 2 or. ...
Circle area formula: A = πr²
Circle sector area formula: A = r² × angle / 2.
Ellipse area formula: A = a × b × π
Trapezoid area formula: A = (a + b) × h / 2.
Parallelogram area formulas:
Step-by-step explanation:
Area is the term used to define the amount of space taken up by a 2D shape or surface. We measure area in square units : cm² or m². Area is calculated by multiplying the length of a shape by its width.
Which is
the features of function g if g(x)=log(x+ 2)
For the function g(x) we have:
Domain: x > -2Range: set of all real numbers.y-intercept = 0.3Which are the features of the given function?There are multiple features we can find, in this case, the most important ones are:
Domain.
Y-intercept.
Range.
First let's find the domain.
We know that logarithmic functions can be only evaluated in arguments larger than zero, so:
x + 2 > 0
x > -2
The domain is the set of all real numbers larger than -2.
Now the range is trivial, for all logarithmic functions the range is the set of all real numbers.
Finally, for the y-intercept we need to evaluate in x = 0, so we get:
y-intercept = log(0 + 2) = log(2) = 0.3
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The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
a. bus
b. car
c. subway
d. train
Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.
How to Interpret a Box-and-whisker Plot?In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.
The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.
Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.
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Find the equation of the line.
Use exact numbers.
Answer:
Step-by-step explanation:
A fair coin is flipped 15 times. What is the probability that you will have 5 tails?
Answer:
9.18%
Step-by-step explanation:
The probability of getting a tail on a fair coin flip is 0.5, and the probability of getting a head is also 0.5. Since each coin flip is independent, we can use the binomial probability formula to calculate the probability of getting exactly 5 tails in 15 flips:
P(X = 5) = (15 choose 5) * (0.5)^5 * (0.5)^(15-5)
where (15 choose 5) is the number of ways to choose 5 tails out of 15 flips, which can be calculated as:
(15 choose 5) = 15! / (5! * 10!) = 3003
Substituting the values, we get:
P(X = 5) = 3003 * (0.5)^15 ≈ 0.0918
Therefore, the probability of getting exactly 5 tails in 15 coin flips is approximately 0.0918 or 9.18%.
Paul has $40,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $40,000?
Answer:
.18n+2400-.06n=6000
.12n=3600
n=3600/.12=$30000 at 18%, $10000 at 6%
Step-by-step explanation:
A cone has a radius of 10 meters and a height of 5 meters. What is the volume of the cone to the nearest cubic meter? Use 3.14 for
Answer:
523.3
Step-by-step explanation:
The volume of a cone is 1/3 hB where h is the height and B is the area of the base.
Step 1: Find the area of the base (B). The base of a cone is a circle so use the formula pi*r^2. Plug in numbers. 3.14*10^2. 3.14*100=314
Step 2: Plug into the formula. 1/3(5*314) --> 1/3(1570)=523.3
27.) Find the sum of the length of line segments EF and CD
Answer:
5√10
Step-by-step explanation:
The distance between two points A(\(x_1,y_1\)) and B(\(x_2,y_2\)) on the coordinate plane is given by:
\(|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 }\)
From the image attached the coordinates of the points are E(-1, -1), F(8, -4), C(-7, -4) and D(-1, 2).
Hence the lengths of the line segment EF and CD are:
\(|EF|=\sqrt{(8-(-1))^2+(-4-(-1))^2} =\sqrt{90}=3\sqrt{10} \\\\CD=\sqrt{(-1-(-7))^2+(-2-(-4))^2}=\sqrt{40} =2\sqrt{10} \\\\Therefore:\\\\|EF|+|CD|=3\sqrt{10} +2\sqrt{10} =5\sqrt{10}\)
What is 108 divided by 8
Answer:
13.5
Step-by-step explanation:
Mark me brainliest!
Or 13 with a remainder of 5
13R5
or
13 5/8
The quotient is 13 and the remainder is 4 for the given statement.
When we divide 108 by 8, we find:
108 ÷ 8 = 13 remainder 4
The quotient is 13 and the remainder is 4.
Therefore, 108 divided by 8 is equal to 13 with a remainder of 4.
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How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?
To calculate your bi-weekly paycheck, follow these steps:
Step 1: Calculate the gross earnings:
Multiply the number of hours worked per week by the hourly rate.
20 hours/week * $9.00/hour = $180.00/week
Step 2: Calculate the total earnings for two weeks:
Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.
$180.00/week * 2 weeks = $360.00
Step 3: Calculate the deductions:
Calculate each deduction separately and subtract them from the gross earnings.
Federal Income Tax: $360.00 * 11.9% = $42.84
State Income Tax: $360.00 * 3.6% = $12.96
F.I.C.A: $360.00 * 7.65% = $27.54
Professional Dues: Amount varies depending on the specific dues.
Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues
Step 4: Calculate the net earnings:
Subtract the total deductions from the gross earnings.
Net Earnings = Gross Earnings - Total Deductions
Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.
It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.
Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.
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Choose the linear inequality that describes the graph the grey area represents the shaded region
Answer:
Explain to me how you expect anyone to do this,
as you haven't provided the graph or the inequalities.
Step-by-step explanation:
What signs are cos(-100) and tan (-100)
The signs of the trigonometric functions are cos(-100) = negative and tan(-100) = positive
How to determine the signs of the trigonometric functions?The trigonometric expressions are given as
cos(-100) and tan(-100)
The cosine trigonometric expression is an even function
This means that
cos(-x) = cos(x)
In this case, x = 100
So, we have
cos(-100) = cos(100)
The angle measure of 100 is in the second quadrant, and cosine is negative in the second quadrant
This means that
cos(-100) = negative
Also, we have
The tangent trigonometric expression is an odd function
This means that
tan(-x) = -tan(x)
In this case, x = 100
So, we have
tan(-100) = -tan(100)
The angle measure of 100 is in the second quadrant, and tangent is negative in the second quadrant
This means that
tan(-100) = -negative
Evaluate
tan(-100) = positive
Hence, the signs of the trigonometric functions are cos(-100) = negative and tan(-100) = positive
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