9. You Be the Teacher Is your cousin
correct? Explain.
4
MTR
14
X 0.82
28
+ 1120
1148
Answers
The first part is right but the next part is wrong
Related Questions
For the function, locate any absolute extreme points over the given interval. (Round your answers to three decimal places. If an answer does not exist, enter DNE.) h(x) = x3 – 5x2 - 6x, -2 sxs 10 absolute maximum (x, y) = -.519,1.627 x absolute minimum (x, y) = ( 3.852, – 40.146)
Answers
For the function that is locate any absolute extreme points over the given interval h (x) - x 3 - 5x2 - 6x, 10 a we get absolute maximum for x and y (-0.380, 0.488) (10, 350) and absolute minimum for x and y (-2, -22) and (4.38, -52.924)
Both critical point lies in domain -2 [tex]\leq[/tex] n [tex]\leq[/tex] 10. We know that h (n) is not define at both side of interval end point so n = -2 and n = 10 are critical point,
The critical point are point where f(n) is defined and its derivative is zero or undefined.
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f(x) = x; g(x) = -x + 3 what is the transformation (for algebra 1)
Answers
There are two ways of reflection.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
The transformation of f(x) to g(x) is,
f(x) is reflected over the x-axis and then shifted 3 steps to the right.
What is a reflection?There are two ways of reflection.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
f(x) = x
g(x) = -x + 3
g(x) is the transformation of f(x).
When f(x) is reflected along the x-axis we get,
g(x) = -x
Now,
g(x) is shifted 3 steps to the right we get,
g(x) = -x + 3
Thus,
The transformation of f(x) to g(x) is,
f(x) is reflected over the x-axis and then shifted 3 steps to the right.
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Find the reciprocal of 1 5/9 Find the reciprocal of 9/14 Ue pencil and paper. Explain how finding the firt reciprocal implifie finding the econd reciprocal
Answers
The reciprocal of 1 5/9 is 9/14 and the reciprocal of 9/14 is 14/9.
What is reciprocal?The multiplicative inverse of a number is referred to as the reciprocal.
In other words, 1 divided by a number is the definition of the reciprocal.
Any given number multiplied by its reciprocal will always yield the value 1.
If x is any real number, then 1/x will be the reciprocal of that number.
For instance, 1/8 is the reciprocal of 8, which is 1 divided by 8.
So, the reciprocal of the fractions is:
(A) 1 5/9
9+5/9
14/9
Reciprocal: 9/14
(B) 9/14
Reciprocal: 14/9
Therefore, the reciprocal of 1 5/9 is 9/14 and the reciprocal of 9/14 is 14/9.
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Find the sum of 2/5+1/6 please i need this
Answers
Answer:
7/30 is your answer.
Step-by-step explanation:
Answers:
Q
Step-by-step explanation:
if zero is included in a confidence interval for paired data, what does this mean about the average difference?
Answers
It means that if you run your experiment again you have a good chance of finding no difference between average differences.
What is a confidence interval?
A confidence interval (CI) for an unknown parameter in frequentist statistics is a range of estimations. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals. The fraction of related CIs over the long run that actually contains the parameter's true value is what is meant by the confidence level.
If zero is included in a confidence interval for paired data.
It means that if you rerun your experiment you have a good chance of finding no difference between groups.
When performing your statistical test, you will also see that the p-value in each of these situations is high, indicating that the null hypothesis—that there is no association between the variables or difference between the groups—could have produced the same findings.
Hence, finding no difference between average differences.
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The table shows the number of minutes per day students spend outside of school reading and doing their math homework. A table is shown. The number of minutes reading: fifteen, fifteen, fifteen, twenty, thirty, thirty, thirty, thirty, forty-five, and sixty. The number of minutes doing math homework: twenty-five, thirty, thirty, thirty, thirty, forty, forty-five, forty-five, fifty-five, and sixty. What is the difference of the means as a multiple of the approximate mean absolute deviations?
Answers
Answer:
i need points
Step-by-step explanation:
The admission fee to play virtual reality is $12. It cost an additional x dollar to rent virtual reality equipment to play in the games. The total cost for 8 people to play virtual reality with equipment is $400. How much will it cost for one person to rent virtual reality equipment?
Answers
Answer:
$38
Step-by-step explanation:
400 ÷ 8 = 50 per person plus admission
minus admission
50 - 12 = 38
consider the correlation between heights of fathers and mothers and the heights of their sons. refer to the accompanying technology output. should the multiple regression equation be used for predicting the height of a son based on the height of his father and mother? why or why not?
Answers
Yes, the multiple regression equation should be used for predicting the height of a son based on the height of his father and mother because the P-value in the ANOVA table is very low.
What is multiple regression equation?Regression analysis is a group of statistical procedures used in statistical modeling to determine the associations between a dependent variable and one or more independent variables. A single dependent variable and numerous independent variables can be analyzed using the statistical approach known as multiple regression. In order to forecast the value of the single dependent value, multiple regression analysis uses independent variables whose values are known.
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Use point-slope form to write the equation of a line that passes through the point
(-8, 8) with slope 3.
Answers
Answer:
y -8 = 3(x+8)
Step-by-step explanation:
y-8 = 3(x-(-8)
y - 8 = 3(x+8)
What is the slope of a line perpendicular to the line whose equation is
4x+10y=-140.
Fully simplify your answer.
Answers
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]4x+10y=-140\implies 10y=-4x-140\implies y=\cfrac{-4x-140}{10} \\\\\\ y=\cfrac{-4x}{10}-\cfrac{140}{10}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{5}}x-14\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-2}{5}} ~\hfill \stackrel{reciprocal}{\cfrac{5}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{5}{-2}\implies {\Large \begin{array}{llll} \cfrac{5}{2} \end{array}}}}[/tex]
Samantha i working in ale. Her weekly pay i $475 plu %5 of her total ale for the week. Samantha ell x dollar in a particular week. Write a function f(x) which can be ued to determine her pay for the week. Ue thi function to determine Samantha’ pay to the nearet cent for a week when her ale total i 8150
Answers
The function which defines the total sales done by Samantha in 'x' number of weeks is: f(x) = 475 + 5x/100.
Explain the meaning of the term percentage?%, which is a relative figure being used denote hundredths of any quantity. Since one percent (symbolised as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.As per the stated question-
Weekly pay of Samantha = $475.
Sales percentage = 5% of the sales.
Let 'x' be the sales done for the week.
Then, function models for the pay of the week.
f(x) = 475 + 5%x
f(x) = 475 + 5x/100
Thus, the function which defines the total sales done by Samantha in 'x' number of weeks is: f(x) = 475 + 5x/100.
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As the number of tosses of a fair coin goes up from 10, to 100, to 1,000 and to 10,000, what happens to the probability of getting between 40% and 60% heads? What happens to the probability of getting exactly 50% heads?
answer choices
a. Both of those probabilities increase.
b. Both of those probabilities decrease.
c. The first probability increases, but the second one decreases.
d. The first probability decreases, but the second one increases.
Answers
Both of those probabilities decrease, hence Option (B) is the correct answer.
Given, the number of tosses of a fair coin goes up from 10, to 100, to 1,000 and to 10,000.
we have to find the effect on the probability of getting exactly 50% heads.
In 10 tosses,
we have to get heads 5 times,
P(X = 5) = (1/2)^5(1/2)^5
P(X = 5) = (1/2)^10
In 100 tosses,
we have to get heads 50 times,
P(X = 50) = (1/2)^50(1/2)^50
P(X = 50) = (1/2)^100
and so on.
It is clear that the probability of getting 50% heads decreases.
Also, Probability of getting heads between 40% and 60% decreases.
Hence, both of those probabilities decrease.
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For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve. (a) A circle with radius 2 and center (3, 2).
(b) A circle centered at the origin with radius 1.
Answers
The equation of circle for both the parts will be as,
(a) (x-3)² +(y-2)²= 4
(b) x²+y² = 1
What is circle?
A circle may be a form consisting of all purposes in a very plane that ar at a given distance from a given point, the centre. Equivalently, it's the curve copied out by a point that moves in a very plane so its distance from a given point is constant.
Main Body:
(a) When the circle is offset from the origin, the equation for the radius gets messy. In general, it will be the root of a quadratic equation in sine and cosine, not easily simplified. The Cartesian equation is easier to write.
Circle centered at (h, k) with radius r:
(x -h)² +(y -k)² = r²
The given circle is ...
(x -2)² +(y -2)² =2²
(x -2)² +(y -2)² = 4
__
(b) When the circle is centered at the origin, the radius is a constant. The desired circle is most easily written in polar coordinates:
x²+y² = 1
Hence the equation of circle is such.
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A linear regression assumes a. no relationship between X and Y b. a linear relationship between X and Y c. Unequal variance d. a negative relationship between X and Y
Answers
A linear regression assumes a linear relationship between X and Y.
Option B is correct.
What is a linear regression?
Linear regression analysis is used to predict the value of a variable based on the value of another variable. When data has only 1 independent feature then it’s called simple linear regression.
This assumption says that independent and dependent features are having linear relationship. To check this assumption, we can use a scatter plot and a scatter plot should look like the left graph in the attached image.
Hence, we assume that there is a linear relationship between X and Y.
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problem: report error alice and bob each have a certain amount of money. if alice receives $n$ dollars from bob, then she will have $4$ times as much money as bob. if, on the other hand, she gives $n$ dollars to bob, then she will have $3$ times as much money as bob. if neither gives the other any money, what is the ratio of the amount of money alice has to the amount bob has?
Answers
The ratio of the amount of money alice has to the amount bob has 31:9.
Assume the following:
Alice's amount = P
Bob's amount = Q
Amount received = n
If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.
P + n = 4(Q - n)
P + n = 4Q - 4n
P = 4Q - 4n - n
P = 4Q - 5n - - - - (1)
If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob
P - n = 3(Q + n)
P - n = 3Q + 3n
P = 3Q + 3n + n
P = 3Q + 4n - - - - - - (2)
Equating both equations - (1) and (2)
4Q - 5n = 3Q + 4n
4Q - 3Q = 4n + 5n
Q = 9n
Express P in terms of n, use either equation (1) or (2)
From equation 2:
P = 3Q + 4n
Substituting Q = 9n
P = 3(9n) + 4n
P = 27 + 4n
P = 31n
Alice's amount = P, Bob's = Q
Ratio = P:Q
31 : 9
Hence, the ratio of the amount of money alice has to the amount bob has 31:9.
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How do you divide Powers with the same base?How dou you raise quotients(fractions) to a power(exponents)
Answers
A waterfall has a height of 1000 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 16 feet per second. The
height, h, of the pebble after t seconds is given by the equation h=-161² +16t+1000. How long after the pebble is thrown will it hit the
ground? Use a graphing calculator to solve the problem.
seconds after it is thrown.
The pebble will hit the ground about
(Round to one decimal place as needed.)
Answers
Ok, so, this implies h=0 when the pebble hits the ground.
So, - 16t^2 + 24t + 1300 = 0
If we find t, we obtain two solutions, one negative and one positive, so the positive is correct.
Then, t = 9.7950 s
Therefore, it would take about 9.7950 seconds for the pebble to hit the ground.
Brad is playing with blocks he has 18 blocks and wants to make an array of the same number of blocks in each row what are all the different ways he could arrange the blocks
Answers
There are several different ways that Brad could arrange the blocks to create an array with the same number of blocks in each row. For example, he could create a 3x6 array by arranging the blocks into three rows of six blocks each. Alternatively, he could create a 6x3 array by arranging the blocks into six rows of three blocks each. He could also create a 2x9 array by arranging the blocks into two rows of nine blocks each. Or he could create a 9x2 array by arranging the blocks into nine rows of two blocks each
TL;DR: 3x6, 6x3, 2x9 and 9x2.
Question is below! Please answer will mark brainliest!
Answers
Answer:
315 children attend the play.
Answer:
c=315
Step-by-step explanation:
we know c is equal to 21a so we can insert it into the second equation
a+21a=330
22a=330
/22. /22
a=15
now we inset a to find c
21(15)=c
315=c
Hopes this helps please mark brainliest
George has been selling 5,000 t-shirts per month for $8. 50. When he increased the price to $9. 50, he sold only 4,000 t-shirts. What is the demand elasticity? if his marginal cost is $4 per shirt, what is his desired markup and what is his initial actual markup? was raising the price profitable?.
Answers
Demand elasticity came in at -4.6154. The actual markup was 0.2167 as opposed to the desired markup of 0.5789. The increase was therefore not profitable.
What is division?A number is split in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of things being distributed among a set of individuals, as in the example given above. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.
Here,
The demand elasticity,
=[(Q1-Q2)/(Q1+Q2)] / [(P1-P2)/(P1+P2)]
[(8000-5000)/(8000+5000)] / [(9.5-10.5)/(9.5+10.5)]
[(3000/13000)] / [-1/20}
60000/-13000
=-4.6154
The desired markup,
(9.5-4) / 9.5
= 0.5789
The actual markup,
1/4.6154
= 0.2167
The demand elasticity was -4.6154. The desired markup was 0.5789 and actual markup was 0.2167. Hence, The increment was not profitable.
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4.) numbers is a game in which you bet $1 on any 3-digit number from 000 to 999. if your number comes up, you get $500. find the expected payback.
Answers
Mathematically, the expected payback is $9.5.
Below, this is further discussed.
What is the anticipated return?
In general, the likelihood times the value are multiplied together to calculate the projected payback.
E(x) = p(x_1)*x_1 + p(x_2)*x_2 + .....
We have two different repayment alternatives in this situation.
Winning
The payback is $500 - $10 = $490
x_1 = 490
The likelihood of winning is one in a thousand (since the choices are 0 to 999)
p(x 1) = 1/1000
Losing
Due to the fact that the person did not win anything, they actually lost $8.
x _2 = -10
The other 999 numbers are regarded as losing numbers because there is only one number that can win.
p(x 2) = 999/1000
E(x) = p(x 1)*x 1 + p(x 2)*x 2 = (1/1000)* 490+ is the expected payback as a result.
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consider the following time series. t 1 2 3 4 5 6 7 yt 121 111 106 99 95 93 88 (a) construct a time series plot. what type of pattern exists in the data? the time series plot shows a seasonal pattern. the time series plot shows a linear trend. the time series plot shows a nonlinear trend. the time series plot shows a horizontal pattern. (b) use simple linear regression analysis to find the parameters for the line that minimizes mse for this time series. (round your answers to two decimal places.) b0
Answers
The time series plot is attached below
The parameters for the line that minimizes mse for this time series 119.714 - 4.9286t
What is time series ?
A time series is a group of data points that have been indexed chronologically in mathematics. A time series is most frequently a sequence captured at a series of equally spaced moments in time. As a result, it is a collection of discrete-time data.
These four elements are: -Secular trend, which describes movement over time; -Seasonal variations, which depict seasonal changes; -Cyclical fluctuations, which relate to periodic but not seasonal variations; -Irregular variations, which are additional nonrandom sources of variations in series.
t' = 28 / 7
= 4
Y' = 700 / 7
= 100
∑(t - t') (y - y') = -138
∑(t - t')² = 28
b1 = -138 / 28
= -4.9286
b0 = Y' - b1t'
= 100 - (-4.9286*4)
= 119.714
[tex]T_{t}[/tex] = 119.714 - 4.9286t
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The sampling distribution for a goodness of fit test is the a. Poisson distribution b. t distribution c. normal distribution d. chi-square distribution
Answers
The chi-square distribution serves as the sampling distribution for the goodness of fit test since it quantifies how well the distribution derived from the data fits the empirical distribution.
What is sampling distribution?The sampling distribution is the probability distribution of a statistic that is obtained by repeated sampling of a certain population. The mean or mode of a population's mean or mode of a variable is one example of the many different choices for a statistic that are described in this passage. The sampling distribution of a proportion is obtained by repeating your survey or poll for each possible sample of the population. For instance, instead of asking 1,000 cat owners what cat food they prefer, you could conduct a number of polls.
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3. a pair of 6-sided dice is thrown. someone tells you that both the dice are showing an even number. with this information, what is the probability of the total (when you sum up the dice) being equal to 8?
Answers
The probability of the total being equal to 8 is 1/9 or 11.11%.
To calculate this probability, we must first calculate all the possible combinations of two six-sided dice that add up to 8. Since both the dice are showing an even number, the possible combinations are (2, 6), (4, 4), and (6, 2). the total number of possible combinations for two six-sided dice is 36 (6 x 6). Therefore, the probability of the total being equal to 8 is 3/36 or 1/9 or 11.11%.
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you are given an array of arrays a. your task is to group the arrays a[i] by their mean values, so that arrays with equal mean values are in the same group, and arrays with different mean values are in different groups. each group should contain a set of indices (i, j, etc), such that the corresponding arrays (a[i], a[j], etc) all have the same mean. return the set of groups as an array of arrays, where the indices within each group are sorted in ascending order, and the groups are sorted in ascending order of their minimum element.
Example
For
a = [[3, 3, 4, 2],
[4, 4],
[4, 0, 3, 3],
[2, 3],
[3, 3, 3]]
the output should be
meanGroups(a) = [[0, 4],
[1],
[2, 3]]
mean(a[0]) = (3 + 3 + 4 + 2) / 4 = 3;
mean(a[1]) = (4 + 4) / 2 = 4;
mean(a[2]) = (4 + 0 + 3 + 3) / 4 = 2.5;
mean(a[3]) = (2 + 3) / 2 = 2.5;
mean(a[4]) = (3 + 3 + 3) / 3 = 3.
There are three groups of means: those with mean 2.5, 3, and 4. And they form the following groups:
Arrays with indices 0and 4 form a group with mean 3;
Array with index 1 forms a group with mean 4;
Arrays with indices 2and 3 form a group with mean 2.5.
Note that neither
meanGroups(a) = [[0, 4],
[2, 3],
[1]]
nor
meanGroups(a) = [[0, 4],
[1],
[3, 2]]
will be considered as a correct answer:
In the first case, the minimal element in the array at index 2 is 1, and it is less then the minimal element in the array at index 1, which is 2.
In the second case, the array at index 2 is not sorted in ascending order.
For
a = [[-5, 2, 3],
[0, 0],
[0],
[-100, 100]]
the output should be
meanGroups(a) = [[0, 1, 2, 3]]
The mean values of all of the arrays are 0, so all of them are in the same group.
Input/Output
[execution time limit] 3 seconds (java)
[input] array.array.integer a
An array of arrays of integers.
Guaranteed constraints:
1 ≤ a.length ≤ 100,
1 ≤ a[i].length ≤ 100,
-100 ≤ a[i][j] ≤ 100.
[output] array.array.integer
An array of arrays, representing the groups of indices
Answers
import java.util.ArrayList;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.Iterator;
import java.util.LinkedList;
import java.util.List;
import java.util.Map;
import java.util.Scanner;
public class Mean {
static public void main(String args[])
{
// Initializing variables
int[][] a = new int[100][100]; // Array of arrays for holding the inputs
Map<Integer,ArrayList<Integer>> averagemaps = new HashMap<Integer,ArrayList<Integer>>(); // Map to contain the average and the list of array indexes
List<Integer> averages = new ArrayList<Integer>(); // List of averages of the arrays
Scanner sc = new Scanner(System.in);
// Input for the array of arrays
System.out.println("Enter the number of arrays: ");
int noArrays = sc.nextInt();
for(int i = 0; i < noArrays; i++)
{
System.out.println("Enter the number of elements in the array "+i+":");
int noElements = sc.nextInt();
int sum = 0;
int avg = 0;
System.out.println("Enter the elements of the array "+i+" one by one:");
for(int j = 0; j < noElements; j++)
{
a[i][j] = sc.nextInt(); // Input for each elements in the array.
sum += a[i][j]; // Calculating the sum of the elements in the array.
}
avg = sum/noElements; // calculating average for the array
// checking if the average is inside the list or not
if(!averages.contains(avg))
{
// If the average is not already in the list
// Adding the average into the list
averages.add(avg);
// create an array list to
// hold the list of indices which has the same array
ArrayList<Integer> a1 = new ArrayList<Integer>();
a1.add(i);
// Mapping the average to the list of indices.
averagemaps.put(avg, a1);
}
else
{
// The average is present in the list
// Adding the index to the array list
// mapped to it.
averagemaps.get(avg).add(i);
}
}
// Sorting the index arrays for each average
// in ascending order
Iterator itr=averages.iterator();
int index = 0;
while(itr.hasNext()){
Collections.sort(averagemaps.get(itr.next()));
}
// For sorting the array of indices based on their lowest number
// Since the arrays are in a map, the map needs to be sorted.
// There is no function to sort the map, Hence the map is converted to
// a list of entersets.
List<Map.Entry<Integer,ArrayList<Integer>>> list =
new LinkedList<Map.Entry<Integer,ArrayList<Integer>>>(averagemaps.entrySet());
// Using the sort function to sort the list. The list should be sorted based on the minimum
// element in each array.
Collections.sort(list, new Comparator<Map.Entry<Integer,ArrayList<Integer>>>() {
public int compare(Map.Entry<Integer,ArrayList<Integer>> o1,
Map.Entry<Integer,ArrayList<Integer>> o2) {
// since the elements in the arrays are already sorted
// the element in the index 0 will be the smallest element
return (o1.getValue().get(0)).compareTo(o2.getValue().get(0));
}
});
// Converting the list back to a hashmap
averagemaps = new HashMap<Integer,ArrayList<Integer>>();
for (Map.Entry<Integer,ArrayList<Integer>> entry : list) {
averagemaps.put(entry.getKey(), entry.getValue());
}
// Initializing an array of array for the output
// The outer array dimension is defined.
// The inner array dimension can be defined based on the
// size of the indices array
int[][] answer = new int[averages.size()][];
itr = averages.iterator();
// Iterate through the averages lists
while(itr.hasNext())
{
ArrayList<Integer> i = averagemaps.get(itr.next());
Iterator iterr=i.iterator();
answer[index] = new int[i.size()];
int innerindex = 0;
while(iterr.hasNext())
answer[index][innerindex++] = (Integer)iterr.next(); // adding the array of indices into the output array.
index++;
}
// Printing the arrays of arrays.
System.out.print("[ ");
for(int i = 0; i < answer.length; i++)
{
System.out.print("[ ");
for(int j = 0;j < answer[i].length; j++)
System.out.print(answer[i][j]+ ", ");
System.out.println("]");
}
System.out.println("]");
}
}
Output:
Enter the number of arrays:
4
Enter the number of elements in the array 0:
3
Enter the elements of the array 0 one by one:
-5
2
3
Enter the number of elements in the array 1:
2
Enter the elements of the array 1 one by one:
0
0
Enter the number of elements in the array 2:
1
Enter the elements of the array 2 one by one:
0
Enter the number of elements in the array 3:
2
Enter the elements of the array 3 one by one:
-100
100
[ [ 0, 1, 2, 3, ]
]
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-(9m + 7) algebra question please help me!!
Answers
The graph shows a proportional relationship between the variables y and x. Write an equation to model the relationship. Use pencil and paper. Explain how you know there is a proportional relationship if you are given either an equation or a graph.
Answers
Answer: y=20x
Step-by-step explanation: 40/2=20, 80/4=20, etc.
There are 20 per every-one
Find the volume of the solid obtained by revolving equilateral triangle of side length 2 around one of its sides. Sketch a diagram and indicate which method you are using: Washer Method Shell Method
Answers
The volume of the solid formed by revolving an equilateral triangle around any of its sides of length 2 is π /√3 units .
From the diagram we can see that the washer method will be used to calculate the are of the solid formed.
The solid formed is in the form of a cone.
Volume of a cone = 1/3 πr²h
Here the radius of the cone = diameter / 2 = 2/2 = 1 units.
Height of the cone is calculated using the Pythagoras theorem of a right angled triangle
radius² + height² = side ²
or, height² = 4 - 1
or, height = √3
Volume of the cone = 1/3 πr²h
Substituting the values we get:
V = 1/3 π 1²√3 = π /√3
Therefore the volume of the cone thus formed is π /√3 cubic units.
A cone is made up of a collection of line segments, half-lines, or lines that connect the apex—the common point—to every point on a base that is in a plane other than the apex.
The base may only be a circle, any closed one-dimensional figure, any one-dimensional quadratic form in the plane, or any combination of the above plus all the enclosed points, depending on the author.
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line has a slope of –
5 and includes the points (5,–
7) and (2,p). What is the value of p?
Answers
Answer:
p=8
Step-by-step explanation:
y= -5x + b
( -7) = -5(5) + b
-7= -25+b
add 25 both sides
-7+25=-25+25+b
18=b
y= -5x+18
p=-5(2)+18
p=8
The time T it takes to travel some distance varies inversely with the rate r of travel. if it takes 2 hours to get somewhere traveling 40 mph how long would the same trip take you instead if you traveled 10 mph
Answers
The same trip will be 8 hours long if you traveled at 10 mph
How to determine how long the trip would take with 10 mph?
Variation is a concept that deals with variability or change in mathematics. Variation is defined as any change in some quantity due to a change in another
Given: The time T it takes to travel some distance varies inversely with the rate r of travel. This implies:
T α 1/r
T = k/r where k is the constant of proportionality
if it takes 2 hours to get somewhere traveling 40 mph. Then:
2 = k/40
k = 2 x 40 = 80
How long would the same trip take you instead if you traveled 10 mph will be:
T = k/r
T = 80/10
T = 8 hours
Therefore, the same trip take you 8 hours if you traveled 10 mph
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