A rectangle that maximize the enclosed area has a length 800 yards and width is 800 yards. The maximum area is 640,000 square yards.
In the given question we have to find the maximum area of the rectangular area.
Liana has 3200 yards of fencing to enclose a rectangle.
So we know that the perimeter of rectangle is
P= 2(l+b)
Let length of the rectangle is x yards and width is y yards.
So the equation should be
2(x+y) = 3200
Divide by 2 on both side we get
x+y = 1600................(1)
As we know the area of rectangle is
A = xy
From the equation the value of y is 1600-x.
Now putting the value of y
A = x(1600-x)
A = 1600x-x^2
On differentiating
dA/dx = 1600-2x
Putting dA/dx=0
1600-2x=0
Subtract 1600 on both side we get
-2x= -1600
Divide by -2 on both side we get
x = 800 yards
Now putting the value of x in the y=1600-x
y=1600-800
y=800 yards
So the maximum area is
A= 800*800
A= 640,000 square yards
Hence, a rectangle that maximize the enclosed area has a length 800 yards and width is 800 yards. The maximum area is 640,000 square yards.
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8. Which of the following equations has a
positive slope and a negative y-intercept?
A. y = 1.75x
B. y = 2/3x - 1
C. y = -4x + 7
D. y = -0.5-1
Answer:
B
Step-by-step explanation:
the 2/3x represents how much it will increase while the -1 represents the y-intercept
A pound of strawberries costs $3.28 and a pound of apples costs $4.63. What is the combined cost of 0.7 pound of strawberries and 1.4 pounds of apples? Round your answer to the nearest cent.
Answer:
$8.78
Step-by-step explanation:
cost = 3.28(0.7) + 1.4(4.63)
= 2.296 + 6.482
= 8.778
= $8.78
If a large stuffed animal costs the game organizers $6, a small stuffed animal costs $1, and a pencil costs $0.25, how much profit do you expect thr group to make from 160 players?
The group can expect to make a profit of $880 from 160 players.
To calculate the profit, we need to determine the cost of the items for each player and subtract it from the amount paid by the players. For each player, the cost of a large stuffed animal is $6, the cost of a small stuffed animal is $1, and the cost of a pencil is $0.25.
For 160 players, the cost of the large stuffed animal would be 160 x $6 = $960. The cost of the small stuffed animal would be 160 x $1 = $160, and the cost of the pencil would be 160 x $0.25 = $40.
Therefore, the total cost for all the items provided to the players would be $960 + $160 + $40 = $1,160.
Since the group is expecting to make a profit, we subtract the total cost from the amount paid by the players. Assuming each player paid the same amount, the profit can be calculated by multiplying the amount paid by each player (let's assume it is X) by the number of players (160) and subtracting the total cost: (160X) - $1,160 = Profit.
Without knowing the amount paid by each player, we cannot determine the exact profit. However, we can provide an example for illustrative purposes. If each player paid $10, the total revenue would be 160 x $10 = $1,600. Subtracting the total cost of $1,160, the profit would be $1,600 - $1,160 = $440. Therefore, the group can expect to make a profit of $440 if each player pays $10, and the actual profit will vary depending on the amount paid by each player.
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I'm a surgery 9 out of 15 students named math as their favorite subject. Express this rate as a decimal
WILL LIST BRANLIEST
Answer:
0.6
Step-by-step explanation:
9÷15=0.6
The college dean obtains an alphabetical list of full-time students at her college and she selects the 26 names on that list and interviews those students to find them. Amount of student debt incurred by each of them. She uses the results to estimate the average (mean) amount of student debt incurred by college students in the united states. What type of sampling is used?
Answer:
The right approach is "Systematic sampling".
Step-by-step explanation:
Some kind of probabilistic sampling system where population or sampling units from some kind of broader group have been randomly chosen, although at a predetermined periodic interval, is termed as Systematic sampling.Where there would be a moderate possibility of information manipulation, it's indeed better to simply such samples.(Theoretical Probability MC)
Joseph has a bag filled with 3 red, 3 green, 9 yellow, and 10 purple marbles. Determine P(not green) when choosing one marble from the bag.
92%
88%
24%
12%
The probability of not selecting a green marble is equal to the total number of non-green marbles in the bag divided by the total number of marbles in the bag.
What is the meaning of probability and it will be calculated?To calculate the probability: there are three green marbles out of a total of twenty-five marbles, so the probability of selecting a green marble is 3/25.
The likelihood of not selecting a green marble is then 1 - 3/25 = 22/25.
This is equal to 22/25 * 100 = 88% as a percentage.
As a result, P(not green) = 88%
Probability denotes the possibility of something happening. It is a mathematical branch that deals with the onset of a random event. The value ranges from zero to one. Probability has been tried to introduce in mathematics to predict the probability of events occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also used in probability distribution, in which you will learn about the possible outcomes of a random experiment.
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please help i will
mark branliest
Answer:
False
Step-by-step explanation:
If Monica just adds 8 to the week number the values she would get would not equal those presented in the chart. Therefore this statement cannot be true.
Answer:
B, false
actually she is multiplying $3 by the week number
Step-by-step explanation:
4+8=12
6+8=14, not 18
8+8=16, not 24
10+8=18, not 30
HELP PLEASE ASAP
Which of the following are irrational numbers?
55
53
✓20
71
Submit
Answer: √20
Step-by-step explanation:
4.47213595 (the 5 repeats)
Which of the following points are solutions to the equation 3x-4y-8+12
Answer:
=3x−4y+4
please Brainiest
Step-by-step explanation:
Let's simplify step-by-step.
3x−4y−8+12
=3x+−4y+−8+12
Combine Like Terms:
=3x+−4y+−8+12
=(3x)+(−4y)+(−8+12)
=3x+−4y+4
the correlation between variable x and variable y is represented by which of the following? group of answer choices r(xy)2 rxy rx(y) rx/y previousnext
Given statement solution is :- The correlation between variable x and variable y is represented by "rxy".
Correlation is Positive when the values increase together, and; Correlation is Negative when one value decreases as the other increases.
There are three basic types of correlation: positive correlation: the two variables change in the same direction. negative correlation: the two variables change in opposite directions. no correlation: there is no association or relevant relationship between the two variables.
A basic example of positive correlation is height and weight—taller people tend to be heavier, and vice versa. In some cases, positive correlation exists because one variable influences the other. In other cases, the two variables are independent from one another and are influenced by a third variable.
The correlation between variable x and variable y is represented by "rxy".
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14 is 10% of ____?
Or what is 14 10% of
Answer:
THE ANSWER TO THE TOP LINE IS: 140
Step-by-step explanation:
why? becuase 10 times 10 is 100 all whole fractions need to be ?/100 (something over 100) so then becuase you did 10 times ten to find what 14 is you do 14 times 10. it should look like this :D.
10*10=100
14*10=140 . 140/100 is your answer or 140 :)
What is 10+9??? and what is your favorite bag of chips???
Answer:
10+9=19
My favorite bag of chips is hot CHEETOS!!
Step-by-step explanation:
10+9=19
And my favorite chips?
Anything that is chicken flavor
true or false? for a certain firm a multiple regression using a sample of 80 workers including john gives bonus
If John has 10 years experience and earns $50,000 and bonus of $9,500 using Regression Equation, then the statement that the residual for John is unusual is True .
Number of workers in the sample is = 80 workers
John has 10 years experience, amount earned is = $50000
Bonus amount is = $9500
The standard deviation of all 80 residuals is $100
The regression equation is given as
Bonus = 2,000 + 257×Experience + 0.046×Salary
From the above data
The residual is = actual value - predicted value
= 9500 - (2000 + 257×10 + 0.046×50000)
= 2630
Since the residual is more than 3 times of standard deviation, therefore, the given statement is True.
-- The given question is incomplete, the complete question is
"For a certain firm, a multiple regression using a sample of 80 workers (including John) gives: Bonus = 2,000 + 257 Experience + 0.046 Salary. John has 10 years' experience, earns $50,000, and gets a bonus of $9,500. Suppose the standard deviation of all the 80 residuals is $100. Then the residual for John is unusual.
The given statement is True or False?" --
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88, 86, 90, 92, 87.89.86)
Mean:
Median:
Mode(s):
Range:
ne number of points scored by a football team during their 16-game
What is the answer of mean,median,mode(s), and range
Help please:’)
The mean, median, mode(s), and range for the given set of numbers are:
Mean = (88+86+90+92+87+89+86) / 7 = 87.14
Median = (86, 86, 87, 88, 89, 90, 92) = 87
Mode(s) = 86 (occurs twice)
Range = 92 - 86 = 6
The mean is calculated by adding up all the numbers in the set and dividing by the total number of values. In this case, the sum of all the values is 612 and there are 7 values, so the mean is 87.14.
The median is the middle value in a set of ordered numbers. To find the median, we first need to arrange the numbers in order from smallest to largest. In this case, the ordered set is (86, 86, 87, 88, 89, 90, 92). Since there are an odd number of values, the median is the middle value, which is 87.
The mode(s) is the value(s) that occur(s) most frequently in the set. In this case, the value 86 occurs twice, which is more than any other value, so the mode(s) is 86.
The range is the difference between the largest and smallest values in the set. In this case, the largest value is 92 and the smallest value is 86, so the range is 6.
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a triangle has base 8cm and a perpendicular height 5.2cm
Answer:
A=20.8cm
A = 1/2 * base * height
A= 1/2 * 8 * 5.2
what is the surface area!!
Answer:
450
Step-by-step explanation:
find perimeter of bases and then the area. then find Lateral Surface area to get Surface area
Graphing slope intercept form
The answer to each part of the question is given below.
What is slope - intercept form of a straight line?The slope - intercept form of a straight line is given by -
y = mx + c
where -
{m} is slope of line.
{c} is the y - intercept.
Given is a depreciated value of business car after {x} years as -
y = - 4200x + 21000
The given linear equation is -
y = - 4200x + 21000
{A} -
The graph of the equation is attached at the end of the answer.
{B} -
The slope is -
m = - 4200
This means that the depreciated value of business car is depreciating at $4200 per year.
{C} -
The y - intercept is -
{c} = 21000
{D} -
The {x} intercept is at the coordiante (5, 0).
Therefore, the answer to each part of the question is given above.
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I need help pls !!!!!
Answer:
132
Step-by-step explanation:
That is an 180 degree angle so just do:
180-42=a
a=132
Answer:
138 degrees.
Step-by-step explanation:
A straight line is equal to 180 degrees. 42 is some, so you would subtract 180 and 42. That is 138 degrees. (When two or more angles add up to 180 it's called supplementary angle) Hope this helps
Please help I will give brainliest
Answer:
I know how to do this problem, but before I do, this isn't a live test, correct?
I recognize that your photo is from an eCampus quiz. I want to make sure I don't violate the honor code when answering.
suppose that a randomly selected sample has a histogram that follows a skewed-right distribution. the sample has a mean of 66 with a standard deviation of 17.9. what three pieces of information (in order) does the empirical rule or chebyshev's provide about the sample?select an answer
The empirical rule provides three pieces of information about the sample that follows a skewed-right distribution:
1. Approximately 68% of the data falls within one standard deviation of the mean.
2. Approximately 95% of the data falls within two standard deviations of the mean.
3. Approximately 99.7% of the data falls within three standard deviations of the mean.
The empirical rule, also known as the 68-95-99.7 rule, is applicable to data that follows a normal distribution. Although it is mentioned that the sample follows a skewed-right distribution, we can still use the empirical rule as an approximation since the sample size is not specified.
1. The first piece of information states that approximately 68% of the data falls within one standard deviation of the mean. In this case, it means that about 68% of the data points in the sample would fall within the range of (66 - 17.9) to (66 + 17.9).
2. The second piece of information states that approximately 95% of the data falls within two standard deviations of the mean. Thus, about 95% of the data points in the sample would fall within the range of (66 - 2 * 17.9) to (66 + 2 * 17.9).
3. The third piece of information states that approximately 99.7% of the data falls within three standard deviations of the mean. Therefore, about 99.7% of the data points in the sample would fall within the range of (66 - 3 * 17.9) to (66 + 3 * 17.9).
These three pieces of information provide an understanding of the spread and distribution of the sample data based on the mean and standard deviation.
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\(\boxed{\text{Solve for 'x'.}}\\\\\frac{x+3}{6}=\frac{2}{3}\)
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(x = 1\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(\boxed{\text{Calculating the answer...}}\\\\\frac{x+3}{6}=\frac{2}{3}\\\----------\\\rightarrow (\frac{x+3}{6})6=(\frac{2}{3})6\\\\\rightarrow x + 3 = 4\\\\\rightarrow x + 3 - 3 = 4 - 3\\\\\rightarrow \boxed{x=1}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x = 1
Step-by-step explanation:
( x + 3 ) / 6 = 2 / 3
Step 1 Cross multiply
( x + 3 ) * 3 = 3x + 9
2 * 6 = 12
We now have 3x + 9 = 12
Step 2 Subtract 9 from both sides
3x + 9 - 9 = 12 - 9
9 - 9 cancels out
12 - 9 = 3
We now have 3x = 3
Final step; divide both sides by 3
3x/3 = x
3/3 = 1
We're left with x = 1
To check our answer we can plug in 1 for x in the expression
( x + 3 ) / 6 = 2 / 3
Substitute 1 for x
1 + 3 / 6 = 2 / 3
Simplify addition
4/6 = 2/3
Simplify fraction
2/3 = 2/3 ✓
Choose the correct definition for the term: Circular flow diagram A simplifled presentation of an empirical finding. Often a broad generalization that summarizes some complicated statistical calculations, which although essentially true may have inaccuracies in the detail. Diagram that pictures the economy as consisting of four main sectors that interact with each other through different markets and in Which financial institutions help to facilitate (some of the interactions.) A situation in which nothing can be improved without something else being hurt. Depending on the context it is usually one of the following two related concepts: - Allocative or Pareto efficiency: any changes made to assist one person would harm another. - Productive efficiency: no additional output can be obtained without increasing the amount of ivputs, and production proceeds at the lowest possible average total cost. Tradeoff faced by individuals between the amount of time spent engaged in productive work for which they earn a wage and leisure activibes that generate utility.
The correct definition for the term "Circular flow diagram" is a diagram that pictures the economy as consisting of four main sectors that interact with each other through different markets, and in which financial institutions help to facilitate some of the interactions.
A circular flow diagram is a visual representation of how money, goods, and services flow within an economy. It illustrates the interconnectedness of various sectors in the economy, including households, firms, government, and the foreign sector. The diagram shows the flow of money and goods between these sectors through different markets such as the product market and the factor market. It demonstrates how households supply factors of production (such as labor) to firms in exchange for income, and how firms supply goods and services to households in exchange for revenue. Additionally, the circular flow diagram highlights the role of financial institutions in facilitating the flow of funds between sectors, such as banks providing loans to businesses. Overall, the circular flow diagram provides a simplified representation of the economic interactions and relationships between different sectors in an economy.
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1.35 x 8.8 please send a picture step by step I’m very confused thank you
Answer:
Check out the image below!
Step-by-step explanation:
Answer:
11.88... below is the explanation,... ;->
Step-by-step explanation:
1.35 * 8.8 = 11.88
The fastest and simplest way to remember how to multiply decimals is in the following:
#1: Take away the decimal points (1.35 becomes 135 and 8.8 becomes 88).
#2: Multiply the numbers as whole numbers (135 * 88 = 11880).
#3: Look at the original decimals you were trying to multiply and see how many numbers where on the RIGHT side of the decimal point. In the decimal 1.35 there are 2 numbers to the RIGHT side of the decimal point (1.35 (the 3 and the 5)). In the decimal 8.8 there is 1 number to the RIGHT of the decimal point (8.8 (the 8))
#4: You have 3 numbers between both of your decimals that are on the RIGHT of the decimal point (the 3 and the 5, and then the 8) so the final step is take the number 11880 (currently the decimal point is at 11880.0) and move it 3 spaces to the LEFT of the decimal point (one 1188.0) (two 118.80) (three 11.880) and that is your final answer,...
Hope that helped,... Chow,...!
Several friends (Calvin, Dean, Kelli, and Lee) went to Cal's Late Night Diner for a bite to eat. Match each person to their drink (Iced tea, Lemonade, Root Beer, and Water) and determine how much each paid ($4.99, $5.99, $6.99, and $7.99) for their meal.
Clues:
1. The Diner who paid $4.99 was either Calvin or the one who got the Root Beer.
2. Kelli paid $6.99
3. The one who got the water paid 1 dollar less than Dean.
4. Calvin paid more than Lee.
5. The one who got the Root beer paid 1 dollar less than the one who got the Iced Tea.
Based on the given clues, we can determine the person, drink, and price paid for each individual:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
How to determine how much each friends paidFrom clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.
From clue 2, Kelli paid $6.99.
From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.
From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.
Therefore, the final assignments are:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
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Assume double[][] x = new double[4][5], what are x.length and x[2].length? a. 4 and 4
b. 4 and 5 c. 5 and 4 d. 5 and 5
The x.length is the number of rows, which is 4. x[2].length is the number of columns in the 3rd row, which is 5. The expression "new double[4][5]" creates a 2D array of doubles with 4 rows and 5 columns. The correct answer is (b) 4 and 5.
The expression double[][] x = new double[4][5] creates a 2D array x with 4 rows and 5 columns. Therefore, x.length gives the number of rows, which is 4. And x[2].length gives the number of columns in the 3rd row (since array indices start at 0), which is 5. Therefore, the correct option is (b) 4 and 5.
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A survey of athletes at a high school is conducted, and the following facts are discovered: 64% of the athletes are football players, 33% are basketball players, and 24% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that he is either a football player or a basketball player? (Please enter your answer as a percentage)
Probability = ___%
please help I'm so confused
The probability that the athlete is either a football player or a basketball player is 73%.
How to find the probabilityDefining some events:
F: the event that the athlete is a football player
B: the event that the athlete is a basketball player
We want to find the probability that the athlete is either a football player or a basketball player. In set notation, we want to find P(F ∪ B), which means the probability of the union of events F and B.
We can use the following formula to find the probability of the union of two events:
P(F ∪ B) = P(F) + P(B) - P(F ∩ B)
where
P(F) is the probability of event F,
P(B) is the probability of event B, and
P(F ∩ B) is the probability of the intersection of events F and B.
We are given that:
P(F) = 64%
P(B) = 33%
P(F ∩ B) = 24%
P(F ∪ B) = 64% + 33% - 24%
= 73%
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In the diagram below, AB is parallel to CD. What is the value of x?
Answer:
150 degrees
Step-by-step explanation:
You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.
Calculate the surface area of the prism.
Answer:
152 units.
Step-by-step explanation:
(5*8)+(5*8)+(6*8)+(6*4/2)+(6*4/2)
40+40+48+12+12
152
John can invest $4 million, or the foreign currency equivalent of the bank's short term funds, in a covered interest arbitrage with Canada. The the following quotes are provided:S 1.278 CAD/USDF (4 months) 1.2902 CAD/USDUSD 4-month interest rate 2.9%CAD 4-month interest rate 4.7%Calculate the covered interest arbitrage (CIA) profit/Loss (2nd alternative- 1st alterative)?
Therefore, it can be seen that the CIA profit/loss is $111,878.
Here are the steps involved in calculating the covered interest arbitrage (CIA) profit/loss:Borrow $4 million in USD at the 4-month interest rate of 2.9%.
Convert the USD to CAD at the spot rate of 1.278 CAD/USD.
Invest the CAD in a 4-month Canadian deposit account at the 4.7% interest rate.
Sell the CAD forward at the 4-month forward rate of 1.2902 CAD/USD.
After 4 months, repay the USD loan and settle the forward contract.
The profit/loss from the CIA strategy is calculated as follows:
Profit/loss = (Interest earned on CAD deposit - Interest paid on USD loan) - (Forward rate - Spot rate)
In this case, the profit/loss is calculated as follows:
Profit/loss = (0.047 * 4,000,000 - 0.029 * 4,000,000) - (1.2902 - 1.278)
= $112,000 - $0.12
= $111,878
Therefore, the CIA profit/loss is $111,878.
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how tall in cm is 1 cup explain