Answer:
10 to the second power... 10^2
Step-by-step explanation:
1,204 cans of food during a food drive that last 28 days. How many cans were collected each day?
Answer:
43 cans
Step-by-step explanation:
1204÷28
43 cans per day assuming that they collected the same amount of cans per day
HELP!! PLS ILL GIVE BRAINLIEST
Answer:3 1/2 times 5= 15 1/10 - 7 1/4 = 8 6/40 or 8 3/20
Step-by-step explanation:
Answer:
3/4 or 0.75 tons
Step-by-step explanation:
The sum of the two months is 7 1/4 which is 29/4. For the first month, the company used 3 1/2 (7/2 or 14/4)
(29-14)/4=15/4.
Thus the second month you use 15/4.
Don’t simplify it yet-
15/4 divided by 5 is 3/4.
prove that √-2 is irrational using strong induction
Using strong induction, we can prove that the square root of -2 is irrational by showing that it cannot be expressed as a fraction of coprime odd integers.
To prove that √-2 is irrational using strong induction, we need to show that for any natural number n, if the square root of -2 can be expressed as a fraction a/b, where a and b are coprime integers, then a and b must be odd.
We can start by using the base case, n = 1. Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers. Then, we have
√-2 = a/b
Squaring both sides gives
-2 = a^2/b^2
Multiplying both sides by b^2 gives
-2b^2 = a^2
This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means
-2b^2 = (2k)^2
Simplifying, we get
-2b^2 = 4k^2
Dividing both sides by -2 gives
b^2 = -2k^2
This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers.
Now, let's assume that for all n ≤ k, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. We want to prove that this also holds for n = k+1.
Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Then, we have
√-2 = a/b
Squaring both sides gives
-2 = a^2/b^2
Multiplying both sides by b^2 gives
-2b^2 = a^2
This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means
-2b^2 = (2k)^2
Simplifying, we get
-2b^2 = 4k^2
Dividing both sides by -2 gives
b^2 = -2k^2
This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers with a and b odd. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd.
By strong induction, we have proven that for any natural number n, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Therefore, √-2 is irrational.
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in a large population, 54 % of the people have been vaccinated. if 4 people are randomly selected, what is the probability that at least one of them has been vaccinated?
The probability that at least one of them has been vaccinated is 0.9552
Probability:
Probability defines the possible occurrence of any particular required event.
Given,
Here we need to find in a large population, 54 % of the people have been vaccinated. if 4 people are randomly selected, what is the probability that at least one of them has been vaccinated.
Here we have to know that,
The situation where at least one out of 4 are vaccinated includes all but one possibility, that which none of the 4 are vaccinated.
The sum of all probabilities must equal 1.
Let Q be probability none of the 4 are vaccinated.
Let P be probability that at least 1 is vaccinated.
Then the probability is calculated as,
P = 1 - Q
Now if 54% are vaccinated, then 46% are not vaccinated.
Thus any given person has a probability of 0.46 of not being vaccinated.
=> Q = (0.46)⁴
=> Q = 0.0448
Then apply the value to the formula,
=> P = 1 - 0.0448
=> P = 0.9552
Therefore, the probability that at least one of them has been vaccinated 0.9552.
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A right triangular prism has a height of 14 inches and the base triangle with legs of 3
inches and 4 inches. if a cross section is taken parallel to the triangular base.
describe the shape of the cross section.
Answer: rectangle
Step-by-step explanation:
When taking a cross section parallel to the base, the cross section will be the same shape as that of the base.
Hii can someone who is really good at math please help me with these 2 math questions. I'm struggling with them!!
the goal is to test to determine if there is a significant difference between mean value added by the manufacturer and the mean cost of materials in manufacturing assuming a 1% level of significance. use excel to perform the f-test for equality of variances at the 1% significance level. which variable will be group 1? what can you conclude from running the f-test?
If the resulting F-statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the variances are significantly different.
The F-test is a statistical test used to compare the variances of two groups.
In this problem, we will use it to compare the variance of the value added by the manufacturer and the variance of the cost of materials in manufacturing. The F-test is performed by dividing the larger variance by the smaller variance. The resulting F-statistic is then compared to the critical value of an F-distribution with degrees of freedom equal to the sample size minus one for each group.
Before we can perform the F-test, we need to determine which variable will be group 1. Typically, the variable with the smaller mean is designated as group 1. This is because we want to minimize the chance of making a type II error, which is failing to reject the null hypothesis when it is false. If we designated the variable with the larger mean as group 1, we might not detect a significant difference between the groups, even if one exists.
Once we have designated which variable will be group 1, we can perform the F-test. If the resulting F-statistic is greater than the critical value of the F-distribution, we reject the null hypothesis and conclude that the variances are significantly different.
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Prove 2 n > n 2 by induction using a basis > 4: Basis: n 5 2A 25 Assume: Prove: Enter the rest of your proof in the box below.
We have proven that if the inequality holds true for k, it also holds true for k + 1. By the principle of mathematical induction, the inequality 2^n > n^2 holds true for all n > 4.
To prove the inequality 2^n > n^2 using induction with a basis greater than 4, we will use n=5 as the basis.
Basis: n = 5
2^5 = 32 and 5^2 = 25. Since 32 > 25, the inequality holds true for n = 5.
Now, we need to assume that the inequality holds true for an arbitrary positive integer k > 4, and then prove that it holds true for k + 1.
Assume: 2^k > k^2 for k > 4.
Prove: 2^(k + 1) > (k + 1)^2
Step 1: Multiply both sides of the assumption by 2.
2 * (2^k) > 2 * (k^2)
Step 2: Simplify the left side of the inequality.
2^(k + 1) > 2k^2
Step 3: Show that 2k^2 is greater than (k + 1)^2 for k > 4.
2k^2 > (k + 1)^2
2k^2 > k^2 + 2k + 1
Step 4: Rearrange the inequality to show that it holds true for k > 4.
k^2 - 2k - 1 > 0
Since k > 4, it is clear that k^2 - 2k - 1 > 0, as the left side increases as k increases.
Therefore, we have proven that if the inequality holds true for k, it also holds true for k + 1. By the principle of mathematical induction, the inequality 2^n > n^2 holds true for all n > 4.
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Jamal needs the order the four cards shown in increasing order .which would be the correct order of cards
Answer:
It's C, not D
Step-by-step explanation:
The solution is, Jamal needs the order the four cards shown in increasing order , D > A > B > C would be the correct order of cards.
option A.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
given that,
Jamal needs the order the four cards shown in increasing order
we have,
A. -2/9 = -0.22
B. -.25 = - 0.25
C. -29% = -0.29
D. -1/5 = -0.2
we know that,
-0.2> -0.22> -0.25 > -0.29
so, the correct order of cards is:
D > A > B > C
Hence, The solution is, Jamal needs the order the four cards shown in increasing order , D > A > B > C would be the correct order of cards.
option A.
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Identify two pairs of similar triangles. Explain why they are similar.
Answer: triangles A and C & D and E
Step-by-step explanation:
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
Answer:
triangle a and c
Step-by-step explanation:
a and c have the same angles even tho the size is different
Find the 50th term of this arithmetic sequence:
6, 13, 20, 27, . . .
Answer:
Answer:
346380
Step-by-step explanation:
hope you gwt an a
help pls pointssssssssss
Answer:
the second one i believe:)
Step-by-step explanation:
i literally just did this in algebra lol...hope this helps:))
Answer:
A
Step-by-step explanation:
1/2 (4x + 6) = 12
What is the value of Y
Answer:
9/2
Step-by-step explanation:
1 Simplify the expression
2 Subtract 6 from both sides
3 Simplify the expression
4 Divide both sides by the same factor
5 Simplify the expression
Answer:
1/2*4x +1/2*6=12
2x+3=12
2x=12-3
2x=9
x=9/2
Given sec A = √85/6 write the value of cot a in the simplest fraction form
A.6/7
B.7/6
C.√85/7
D.7/√85
\(\\ \sf\longmapsto sec^2A-1=tan^2A\)
\(\\ \sf\longmapsto tan^2A=\dfrac{(√85)^2}{6^2}-1\)
\(\\ \sf\longmapsto tan^2A=\dfrac{85}{36}-1\)
\(\\ \sf\longmapsto tan^2A=\dfrac{85-36}{36}\)
\(\\ \sf\longmapsto tan^2A=\dfrac{49}{36}\)
\(\\ \sf\longmapsto tanA=\dfrac{7}{6}\)
Now
\(\\ \sf\longmapsto cotA=\dfrac{1}{tanA}=\dfrac{6}{7}\)
The technique for determining an array index using only a search key and not searching is called_________.
The technique for determining an array index using only a search key and not searching is called hashing.
Hashing is a method that maps data to a fixed-size array called a hash table. In this technique, a hash function is used to generate a unique index for each search key. The hash function takes the search key as input and performs some calculations to produce the index value.
This index is then used to access the corresponding element in the array, providing direct access to the desired data without the need for further searching.
Hashing is the technique of determining an array index using only a search key.
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Cecil started from Point A and moved according to the expression 10 + (−5) + 19 + 6 + (−19) + 5 + (−10). What one additional step
does Cecel need in order to return to the starting point?
The number of steps in order to return to the starting point will be negative 16.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
Cecil started from Point A and moved according to the expression 10 + (−5) + 19 + 6 + (−19) + 5 + (−10).
Let 'x' be the number of steps in order to return to the starting point. Then the equation is given as,
x + 10 + (−5) + 19 + 6 + (−19) + 5 + (−10) = 0
Simplify the equation, then the equation is given as,
x + 10 − 5 + 19 + 6 − 19 + 5 − 10 = 0
x + 40 − 24 = 0
x + 16 = 0
x = − 16
The number of steps in order to return to the starting point will be negative 16.
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Determine if the following statements are true or false. The magnitude of a vector can be different in different coordinate systems. It is possible to add a scalar to a vector. A 2D vector can have a magnitude equal to zero even when one of its components it nonzero. The direction of a vector can be different in different coordinate systems. A 2D vector can have a component equal to zero even when its magnitude is nonzero. The components of a vector can be different in different coordinate systems. It is possible to multiply a vector by a scalar. Determine if the following statements are true or false. Remember that for a mathematical statement to be true it must be true in all cases. If V_3 = V_1 + V_2, then V_4 = 3V_1 + 3V_2 is parallel to V_3. If V_3 = V_1 + V_2, then V_3 - V_2 is parallel to V_1. If V_3 = V_1 + V_2, then V_3 = V_1 + V_2. If V_3 = V_1 + V_2, then V_3 > V_1.
The statements given are mostly true, except for the statements that V_4 is parallel to V_3 and that V_3 is greater than V_1.
The magnitude of a vector can be different in different coordinate systems. True
It is possible to add a scalar to a vector. True
A 2D vector can have a magnitude equal to zero even when one of its components it nonzero. True
The direction of a vector can be different in different coordinate systems. True
A 2D vector can have a component equal to zero even when its magnitude is nonzero. True
The components of a vector can be different in different coordinate systems. True
It is possible to multiply a vector by a scalar. True
If V_3 = V_1 + V_2, then V_4 = 3V_1 + 3V_2 is parallel to V_3. False
If V_3 = V_1 + V_2, then V_3 - V_2 is parallel to V_1. True
If V_3 = V_1 + V_2, then V_3 = V_1 + V_2. True
If V_3 = V_1 + V_2, then V_3 > V_1. False
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helppp ill mark u as brain list
Answer:
It is hard to see the picture, but I think it is 6.
Step-by-step explanation:
Draw a street diagram based on the given information
1) Fox Boulevard and
Harty Way are parallel
2) Barbosa Avenue
intersects Harty Way
and Fox Boulevard
I
3) Hankins Salon and
Chase bank are same
side interior angles
4) Buckley Park and Town
Hall are alternate
exterior angles
5) Popeye's and
McDonalds are on
corners that are
supplementary
Answer:
See attachment.
Step-by-step explanation:
The name of the streets and places are abbreviated as follows:
✍️The Streets:
Fox Boulevard = FB
Harty Way = HW
Barbosa Avenue = BA
✍️Places:
Hankins Salon = HS
Chase bank = CB
Buckley Park = BP
Town Hall = TH
Popeye's = PP
McDonalds = MD
Based on the information given, a diagram of the streets have been drawn and attached below.
it is known that the average time to complete a standardized tests is 117 minutes. an executive from a test-taking company wondered if his clients took less time than average. if he randomly sampled test-taking time of his clients, what test would be most appropriate?
If the executive wants to test whether his clients take less time than average, the test he can use is the one-sample t-test.
The null hypothesis for this test would be that the mean test-taking time for the executive's clients is equal to the population mean of 117 minutes. The alternative hypothesis would be that the mean test-taking time for the executive's clients is less than the population mean.
The test statistic for the one-sample t-test is calculated as:
t = (x - μ) / (s / √n)
where x is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.
The test statistic follows a t-distribution with n - 1 degrees of freedom. The p-value for the test can then be calculated based on the t-distribution and the chosen significance level.
If the p-value is less than the chosen significance level, the null hypothesis can be rejected, and the executive can conclude that his clients take less time than average. If the p-value is greater than the chosen significance level, the null hypothesis cannot be rejected, and the executive cannot conclude that his clients take less time than average.
It is important to note that the one-sample t-test assumes that the sample is randomly selected and is normally distributed. If these assumptions are not met, a different test may be more appropriate.
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A student is interested in studying the amount spent on rent for apartments in the gainesville area. She takes a random sample of 100 local apartment complexes. She is interested in studying the center, shape and spread of the data. What type of graph does she make?.
A histogram is an effective way to present and analyze the center, shape, and spread of continuous data, allowing the student to gain a better understanding of the distribution of rent amounts in the Gainesville area.
To study the center, shape, and spread of the data for the amount spent on rent for apartments in the Gainesville area, the student would typically create a histogram.
A histogram is a type of graph that represents the distribution of continuous data by dividing it into intervals, or bins, and displaying the frequency or count of data points falling within each interval. It provides insights into the center (central tendency), shape, and spread (dispersion) of the data.
In the student's case, the amount spent on rent for apartments would be the continuous variable, and the student would group the data into intervals (e.g., rent ranges) and count the number of apartment complexes falling within each interval.
By creating a histogram, the student can visually analyze the distribution of rent amounts, identify the most common rent ranges (mode), and observe the shape of the distribution (symmetric, skewed, etc.). The histogram can also provide insights into the spread of the data, such as the range of rent amounts and the presence of outliers.
Overall, a histogram is an effective way to present and analyze the center, shape, and spread of continuous data, allowing the student to gain a better understanding of the distribution of rent amounts in the Gainesville area.
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Persons who regularly interact with the system as part of their jobs are called _______.
a. client stakeholders
b. user stakeholders
c. executive stakeholders
d. operational stakeholders
Persons who regularly interact with the system as part of their jobs are called operational stakeholders
A person who has an interest in the project, is connected to it, or is positively or negatively impacted by it is referred to as a stakeholder. Operation, on the other hand, refers to any ongoing process or action, such as hospital management or any manufacturing activity.
Operational stakeholders must be involved, their needs should be recorded in the stakeholder register, and the risk management plan should take into account any influence they may have, whether good or negative.
Some Instances of operational stakeholders (based on the business) are: Operators of manufacturing facilities, managers of production lines, instructors, help desk personnel, customer service representatives, salesperson, etc.
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A taxicab service charges customers by the mile. The graph
shows the number of miles a taxicab drives and the amount of
money the customer pays.
Which statement best describes the rate of change for the
situation?
The amount a customer pays increases $0.50 per
mile driven
The amount a customer pays increases $0.60 per
mile driven
The amount a customer pays increases $12 per mile
driven.
The amount a customer pays increases $21 per mile
driven
Answer:
The second option: The amount a customer pays increases $0.60 per mile driven.
Step-by-step explanation:
As seen on the graph, we are given the points (20,12) and (35,21).
This means that at 20mi driven, the amount paid is $12, and at 35mi driven, the amount is $21.
To find the rate of change we divide the distance driven by the cost to find the cost per mile:
20/12 = 0.6
35/21 = 0.6
The slope is 0.6, so it costs an extra $0.6 for every mi driven. Therefore it is the second option: The amount a customer pays increases $0.60 per mile driven.
Hope this helped!
Answer:
The amount a customer pays increases $0.60 per mile driven.
Step-by-step explanation:
$0.6/mi is the rate of change, y = mx + b, so m.is also called rate of change & b is the initial value of x, in the graph b = 0. making m the subject of the equation, then m(roc) = 0.6.
public class BinarySearch \{ public static void main(Stringll args) f int [1]yl ist ={1,2,3,7,10,12,20}; int result = binarysearch ( inylist, 20); if (result =−1 ) System, out, println("Not found:"); else System.out.println("The index of the input key is " + result+ ". "): y public static int binarysearch(int]l List, int key) \{ int low =0; int high = iist. length −1 while (high >= low) \& int mid =( low + high )/2; if (key < List [mid] high = mid −1; else if (key =1 ist [ mid ] ) return inid; else low = mid +1; return −1; // Not found \} l TASK 4: Binary Search in descending order We have learned and practiced the implementation of the binary search approach that works on an array in ascending order. Now let's think about how to modify the above code to make it work on an array in descending order. Name your new binary search method as "binarysearch2". Implement your own code in Eclipse, and ensure it runs without errors. Submit your source code file (.java file) and your console output screenshot. Hint: In the ascending order case, our logic is as follows: int mid =( low + high )/2 if ( key < list [mid] ) else if (key = ist [mid]) return mid; In the descending order case; what should our logic be like? (Swap two lines in the above code.)
The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.
The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.
To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.
The modified code for binary search in descending order would look like this:
public static int binarysearch2(int[] list, int key) {
int low = 0;
int high = list.length - 1;
while (high >= low) {
int mid = (low + high) / 2;
if (key > list[mid])
high = mid - 1;
else if (key < list[mid])
low = mid + 1;
else
return mid;
}
return -1; // Not found
}
By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.
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Find the value of x.
Answer:11
Step-by-step explanation:
Help out
With this problem
Answer:
y=4
Step-by-step explanation:
we can write the equation
y=mx+b
we are given the m=0 and so we need to solve for b by plugging in the coordinates
4=0*3+b
4=b
Nathaniel is going to invest $76,000 and leave it in an account for 18 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Nathaniel to end up with $100,000?
Answer:
did you ever get the answer bc I have this and need help pls and thank you
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.5%
there are six balls in a box if we select three balls what is the probability of having one white ball
The probability of having one white ball is 1/20 or approximately 0.05.
To find the probability of selecting one white ball out of three balls, you need to know the number of white balls in the box and the total number of balls in the box. You also need to know whether the balls are being selected randomly or not.
Assuming that there is only one white ball in the box and the rest are some other color, and that the balls are being selected randomly.
The probability of selecting one white ball out of three would be:
Probability = (number of ways to select one white ball out of three) / (total number of ways to select three balls)
Since there is only one white ball, there is only one way to select one white ball out of three. The total number of ways to select three balls out of six is 6 choose 3, which is equal to 20.
Therefore, the probability of selecting one white ball out of three would be
Probability = (number of ways to select one white ball out of three) / (total number of ways to select three balls)
Probability = 1/20
Probability = approximately 0.05.
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You are offered the chance to obtain more space. the offer is for 15 units and the total price is 1500. what should you do?
A. You should calculate the cost per unit to determine if the price of 1500 for 15 units is a good deal.
B. To determine whether the offer is a good deal, you need to calculate the cost per unit.
Divide the total price of 1500 by the number of units offered, which is 15.
Cost per unit = Total price / Number of units
Cost per unit = 1500 / 15
Cost per unit = 100
The cost per unit is 100.
Now, consider the value you assign to each unit of space. If you believe that each unit is worth more than 100, then the offer is a good deal and you should accept it.
However, if you believe that each unit is worth less than 100, then the offer is not favorable and you should decline it.
Ultimately, the decision depends on your evaluation of the worth of each unit of space and whether you believe the cost per unit is reasonable based on your needs and budget.
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a shop advertises 25percent of its price in a sale . A dress was 90pounds.how much was it before reduced
Answer:
Before the price reduction, the cost was 120 dollar.
What is the fundamental principle of multiplication?
Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that shop advertises 25% off its prices in a sale a dress is 90% .
Here 90 percent is equivalent to 75%
Let X = 100%
So,X=(90×100)÷75
x =120
The price was 120 dollar.
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