If a researcher has access to a list of all pilots who are members of the Air Line Pilots Association and she wishes to conduct a study, she can use this list as the frame for selecting a random sample of pilots. By doing so, she can ensure that the sample is representative of the larger population of pilots who are members of the association.
Suppose a researcher wants to conduct a study on pilots who are members of the Air Line Pilots Association. The researcher has access to a list of all these pilots, which serves as the frame for the study. In order to randomly select a sample of pilots, the researcher can follow these steps:
1. Assign a unique number to each pilot on the list.
2. Determine the sample size required for the study based on the research objectives.
3. Use a random number generator or a random sampling technique (e.g., simple random sampling) to select the desired number of pilots from the list.
4. Once the sample has been chosen, the researcher can proceed with the study by contacting the selected pilot members and collecting the necessary data.
This method ensures that the sample is representative of the entire population of pilots in the Air Line Pilots Association and helps maintain the validity of the research findings. This is important because it allows her to draw conclusions about the population based on the sample data. The sample should be selected in a random and unbiased manner to ensure that it is a true representation of the population. The researcher can then use the data collected from the sample to make inferences about the population of pilots who are members of the Air Line Pilots Association.
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PLEASE HELP ME ASAP PLEASE!!!!
SHOW ALL WORK!!!
Answer:
Step-by-step explanation:
C: (-4, 3)
r = √16 = 4
D: [-8, 0] -8<x<0
R: [-1, 7] -1<y<7
The given equation is in standard form, so you can get the (h,k) values right from the equation.
To get the Domain and Range, it's easiest to graph the circle (use an online graphing calculator like Desmos), then see that x goes from -8 to 0, and y goes from -1 to 7.
You have monthly data on the price of bitcoin. You are considering buying $1,000 worth of bitcoins and want to estimate how much your investment will be worth in the future. (Note that you can buy fractions of a bitcoin Based on this data sample, what is the average monthly growth rate in the price of bitcoin? What is the standard deviation of the monthly growth observations?
Based on the monthly data on the price of bitcoin, the average monthly growth rate can be calculated by taking the difference in price from the previous month and dividing it by the previous month's price. Using the average monthly growth rate, you can estimate the future value of your $1,000 Bitcoin investment.
Once this is done for each month, the resulting growth rates can be averaged to find the average monthly growth rate. As for the standard deviation of the monthly growth observations, this can be calculated using a statistical software or a calculator that has the capability to perform statistical calculations. Without the actual data, it is not possible to provide an exact answer to the question. However, it is important to note that investing in bitcoin can be volatile and unpredictable, so it is important to do thorough research and understand the potential risks before making any investment decisions. To estimate the average monthly growth rate and standard deviation of your Bitcoin investment, follow these steps:
1. Compile the monthly price data for Bitcoin.
2. Calculate the monthly growth rate for each month by using the formula: (Current Month Price - Previous Month Price) / Previous Month Price.
3. Add up all the monthly growth rates and divide the sum by the number of months in your data sample. This will give you the average monthly growth rate for Bitcoin.
4. To calculate the standard deviation, first find the variance. Subtract the average monthly growth rate from each individual growth rate, square the result, and find the average of these squared differences.
5. Finally, take the square root of the variance to get the standard deviation.
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a 95% confidence interval for the mean percentage of airline reservations being canceled on the day of the flight is (3%, 9%). what is the point estimator of the mean percentage of reservations that are canceled on the day of the flight?
The point estimator of the mean percentage of airline reservations canceled on the day of the flight is the midpoint of the 95% confidence interval, which is (3% + 9%) / 2 = 6%.
The point estimator of the mean percentage of airline reservations being canceled on the day of the flight is the midpoint of the confidence interval, which is (3% + 9%) / 2 = 6%. Therefore, the point estimator of the mean percentage of reservations that are canceled on the day of the flight is 6%.
This means that based on the data, we can estimate that the mean percentage of airline reservations being canceled on the day of the flight is around 6%. However, since this is a point estimate, there is some uncertainty associated with it. The 95% confidence interval provides a range of values within which we can be 95% confident that the true mean percentage of cancellations falls. In this case, we can be 95% confident that the true mean percentage of cancellations on the day of the flight falls between 3% and 9%.
Overall, the interval and the point estimator provide us with useful information about the mean percentage of airline reservations being canceled on the day of the flight and allow us to make informed decisions and predictions about future cancellations.
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Why should be subtracted from (3/4 + 1/3 + 2/5) to get 1/2 ?
Answer:
ANSWER: 59/ 60
Step-by-step explanation:
What should be subtracted to get 1 / 2 ?( 3 / 4 + 1 / 3 + 2 / 5 )
to get 1 / 2A.3 / 4 = 3.00 ÷ 4 = .75 *.1 / 3 = 1.000 ÷ 3 = .333 * .2 / 5 = 2.0 ÷ 5 = .4 * ..75 + .33 + .4 = 1.48…75+.33.40 == 1.48 *OR3 / 4 = 45 / 60+1 /3 = 20 / 602 / 5 = 24 / 60 ======== 89 / 60 = 1 29/601 29 /60 = 1 29/60 === 0 89/60—0 1/2 ==== 0 30/ 60=—0 30/60 =====================0 59/ 60
Find the surface area of the composite solid. Round your answer to the nearest hundredth.
A composite figure of a right cylinder with a right pentagonal prism on top of it. One of the pentagon face sits on the face of the cylinder. The radius of the cylinder is 6 feet, the height is 4 feet. The height of the pentagonal prism is 7 feet and the edge length of all the sides on the pentagon face is 4 feet.
The surface area is about square feet.
Answer:
516.99
Step-by-step explanation:
i just answered it and it told me the correct answer after i did it
What is ordered pair for P' after the shape is reflected over the y-axis
Hey ⊂hcpsibekweou⊃
Answer:
( 6 , 2 )
Step-by-step explanation:
Based on the image we can see that P' is in quadrant 4.
Coordinate plane:
Divided into 4 partsQuadrants - represents each quarter of the whole coordinate plane(0,0) - originQuadrant 1 ( + , + )Quadrant 2 ( - ,+ )Quadrant 3 ( - , - )Quadrant 4 (+, - )As you may know reflection is known as a flip.
For example: (-5, 4) in quadrant 1 reflects to ( -5, -4 ) quadrant 3.
From the given we can see that P' is (6, -2 ), Therefore the reflection of ( 6, - 2) is ( 6 , 2 ).
xcookiex12
4/19/2023
I'm not sure what they mean by find the value for the side length marked x, this would have been easier for me if it was a bit more specific. Please help me with this problem.
The value of x in the similar triangle is 12 units. The triangle are similar because they only vary in sizes but have the same shape.
How to find similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
The triangles are also similar because they have the same shape but different sizes.
Hence, let's find the value of x as follows:
3 / 9 = 4 / x
cross multiply
3x = 36
divide both sides by 3
x = 36 / 3
x = 12
Therefore, the value of x is 12 units.
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What is this I don’t get it it’s a test grade find the area
The area of the figure attached is 15 square meters
How to find the area of the figureThe figure is a parallelogram and area of a parallelogram is solved using the formula
= base x height
Information given in the problem includes:
base = 5 m
height = 3 m
plugging in the values in to the formula for area for area of a parallelogram will result to
= 5 m x 3 m
= 15 square meters
Hence the area of the parallelogram attached is 15 square meters
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3.3g of metal A of density 2.7g/cm3 is mixed with 2.4g of metal B of density 4.8g/cm3 Determine the density of the mixture.
Answer:
To determine the density of the mixture, we need to first find the total volume of the mixture, which can be calculated by adding the volumes of metal A and metal B.
The volume of metal A can be calculated using the formula:
Volume = Mass / Density
So, the volume of metal A is:
Volume of A = 3.3g / 2.7g/cm³ = 1.2222... cm³ (rounded to four decimal places)
Similarly, the volume of metal B is:
Volume of B = 2.4g / 4.8g/cm³ = 0.5 cm³
The total volume of the mixture is therefore:
Total Volume = Volume of A + Volume of B
= 1.2222... cm³ + 0.5 cm³
= 1.7222... cm³ (rounded to four decimal places)
To find the density of the mixture, we can use the formula:
Density = Mass / Volume
The total mass of the mixture is:
Total Mass = Mass of A + Mass of B
= 3.3g + 2.4g
= 5.7g
So, the density of the mixture is:
Density = Total Mass / Total Volume
= 5.7g / 1.7222... cm³
= 3.3103... g/cm³ (rounded to four decimal places)
Therefore, the density of the mixture is approximately 3.3103 g/cm³
Step-by-step explanation:
Based on the following, how much should Ben Brenner include in income in his federal income tax return?Jury awarded punitive damages $10,000, Kickbacks on sale of goods (not treated as a reduction elsewhere), 5,000 Money borrowed from a bank 8,000 Increase in the value of an asset 1,000a.$15,000b.$16,000c.$24,000d. $10,000e.$23.000
Based on the information given, Ben Brenner should include $16,000 in income on his federal income tax return. This includes the $10,000 awarded in punitive damages, $5,000 in kickbacks on the sale of goods, and $1,000 increase in the value of an asset. The money borrowed from the bank is not considered income for tax purposes.
Based on the given information, Ben Brenner should include the following amounts in his income for his federal income tax return:
1. Jury awarded punitive damages: $10,000
2. Kickbacks on the sale of goods: $5,000
The money borrowed from the bank ($8,000) is not considered income, and the increase in the value of an asset ($1,000) is also not taxable until the asset is sold.
So, the total amount to include in his income for the federal income tax return would be:
$10,000 (punitive damages) + $5,000 (kickbacks) = $15,000
Therefore, the correct answer is option a. $15,000
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Directions: Draw a tree diagram (on your paper) to show all the possible outcomes, write out the sample space,
then answer the probability questions.
3. A smoothie comes in three sizes- small, medium, and large, and
five flavors- strawberry what is the probability of getting a large or blueberry?
The probability of getting a large or blueberry smoothie is 7/15.
What is the probability?The probability is calculated based on the following assumptions:
Assuming that each size has an equal probability of being chosenAssuming that each flavor has an equal probability of being chosenAssuming that the events of getting a large smoothie and getting a blueberry smoothie are independent eventsProbability of getting a large smoothie = 1/3
Probability of getting a blueberry smoothie = 1/5
P(large and blueberry) = P(large) * P(blueberry)
P(large and blueberry) = (1/3) * (1/5)
P(large and blueberry) = 1/15
P(large or blueberry) = P(large) + P(blueberry) - P(large and blueberry)
P(large or blueberry) = 1/3 + 1/5 - 1/15
P(large or blueberry) = 7/15
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A random sample of 130 mortgages in the state of Mississippi was randomly selected. From this sample 14 were found to be delinquent on their current payment. The 98% confidence interval for the proportion based on this sample is
A) (.063, .153)
B) (.036, .180)
C) (.029, .188)
D) (.015, .201)
A confidence interval is a range of values that is likely to contain the true value of an unknown parameter with a certain level of confidence.
We can use the formula for the confidence interval of a proportion:
p±z α/2√p(1− p)/n
where $\hat{p}$ is the sample proportion, $n$ is the sample size, and $z_{\alpha/2}$ is the critical value from the standard normal distribution.
In this case, we have $\hat{p} = \frac{14}{130} = 0.1077$ and $n=130$. Using a table or calculator, we find that $z_{\alpha/2} = 2.33$ for a 98% confidence interval.
Plugging in the values, we get:
0.1077±2.33 √0.1077(1−0.1077)/130
Simplifying, we get:
(0.063,0.153)
So the answer is (A).
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let x, y , z be independent and chosen uniformly from [0, 1]. what is the prob- ability that there exists a triangle with side lengths x, y and z? 2
Answer: To determine the probability that there exists a triangle with side lengths x, y, and z, we need to find the probability that the three side lengths satisfy the triangle inequality, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Since x, y, and z are independent and uniformly distributed on [0, 1], the probability density function of each variable is f(t) = 1 for 0 ≤ t ≤ 1 and 0 otherwise.
We can use geometric probability to determine the probability that x, y, and z satisfy the triangle inequality. Imagine a cube with side length 1, where the x-axis represents the value of x, the y-axis represents the value of y, and the z-axis represents the value of z. The region of the cube where x + y > z, x + z > y, and y + z > x corresponds to a tetrahedron with vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1), as shown below:
(0,1,0) (1,0,0)
*---------------*
/| /|
/ | / |
/ | / |
(0,0,1) *----------/---* (1,0,1)
| / (0,0,0) | /
| / | /
| / | /
|/ |/
*---------------* (0,1,1)
(0,1,1) (1,1,0)
The volume of this tetrahedron is 1/6 of the volume of the cube, since each of the four triangular faces has half the area of a face of the cube.
Therefore, the probability that x, y, and z satisfy the triangle inequality (i.e., that there exists a triangle with side lengths x, y, and z) is equal to the volume of this tetrahedron, which is 1/6.
Hence, the probability that there exists a triangle with side lengths x, y, and z is 1/6, or approximately 0.1667.
The probability that there exists a triangle with side lengths x, y, and z is 1/6 or approximately 0.1667. The probability that there exists a triangle with side lengths x, y, and z can be found by determining the probability that the three sides satisfy the triangle inequality.
This inequality states that the sum of any two sides must be greater than the third side.
Since x, y, and z are chosen uniformly from [0, 1], we can assume that they are continuous random variables with a uniform distribution over the interval [0, 1].
Therefore, the probability that the three sides satisfy the triangle inequality can be found by integrating the joint probability density function of x, y, and z over the region where the triangle inequality holds. This region can be described as the set of all (x, y, z) that satisfy the following three conditions:
1) x + y > z
2) x + z > y
3) y + z > x
To find the probability, we integrate the joint probability density function over this region:
P(triangle exists) = ∫∫∫ R f(x, y, z) dxdydz
where R is the region defined by the three conditions above, and f(x, y, z) is the joint probability density function of x, y, and z, which is 1 over the interval [0, 1] since they are uniformly distributed.
Evaluating this triple integral is a bit tricky, but it turns out that the probability is 1/6. Therefore, the probability that there exists a triangle with side lengths x, y, and z is 1/6, which is approximately 0.1667.
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I need to know the answer fast
Answer:
17550
Step-by-step explanation:
I am pretty sure you multiply them all together. If not sorry.
Answer: 344 yd²
Step-by-step explanation:
You can find the Area of the full block and then subtract the portion on the top right thats cut out
A(full block)=LA+2B P= 9+9+16+16=50 h=10 B=(9)(16)
= Ph+2B P, perimeter of Base; h, height B, area of base
=(50)(10)+2(144)
=788 yd²
A(cut out) = LA +2B P=13+13+4+4=34 h=10 B=(13)(4)=52
=Ph +2B
=34(10)+2(52)
=444 yd²
Now subtract the 2 areas and that will give you your shape
A(shape)=A(full block)-A(cut out)
A(shape)= 788-444=344 yd²
The heights (in inches) of 10 adult males are listed below. Find the sample standard deviation of the data set.
70 72 71 70 69 73 69 68 70 71
The sample standard deviation of the heights (in inches) of 10 adult males is approximately 1.464 inches.
To find the sample standard deviation of the heights of the 10 adult males, follow these steps:
1. Calculate the mean (average) height:
(70+72+71+70+69+73+69+68+70+71) / 10 = 703 / 10 = 70.3 inches.
2. Subtract the mean from each height and square the result:
[tex][(70-70.3)^2, (72-70.3)^2, ... (71-70.3)^2].[/tex]
3. Calculate the sum of these squared differences:
0.09+2.89+0.49+0.09+1.69+7.29+1.69+5.29+0.09+0.49 = 19.31.
4. Divide the sum by (n-1), where n is the sample size: [tex]19.31 / (10-1) = 19.31 / 9 = 2.145.[/tex]
5. Take the square root of the result: √2.145 = 1.464 (rounded to 3 decimal places).
The sample standard deviation of the heights of the 10 adult males is approximately 1.464 inches.
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y = |x| 2 asking if it’s left right up down
Answer:
Down
Step-by-step explanation:
Which of the ages of children taking a hip-hop dance class are 10, 9, 9, 7, 12, 14, 14, 9, and 16 years old. Which of the following box plots accurately represents the data set?
Answer:
Step-by-step explanation:
The answer is B because it goes 7,9,9,9,10,12,14,14,16 The number in the middle is the median(10) 4 on each side so second number from the front is your Q1 (9) second number from the back is your Q2 (14) smallest number is 7 and biggest nimber is 14 so that is your min. and max. so your answer is D
If 6 × ∎ = 420, what number does ∎ represent?
if equation 6 × ∎ = 420 then the value of ∎ is 70.
Given that 6 × ∎ = 420
We have to find the value ∎
Let us consider ∎ as x
6×x=420
To find the value of x we have to divide both sides by 6
x=420/6
x=70
Hence, if 6 × ∎ = 420 then the value of ∎ is 70.
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Can someone help me asap? It’s due today!! I will give brainliest if it’s correct
Please show work
The generalization about cedar trees is that the height of cedar trees varies from the mean by an average of 107.5
What is average?Average is the quotient obtained by dividing the sum total of a set of figures by the number of figures.
The IQR is the inter quartile range of a data. This means 50% of the data is the inter quartile range.
This means 50/100 × 492
= 246
The range is the difference between the largest and smallest
Range = 210 -16
= 194
Average = sum of height/ number of trees
= 210+16+40+130+49+200
= 107.5
therefore the average height of cedar tree is 107.5
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The following information is on food items for the years 2010 and 2018. Item 2010 2018
Price Quantity Price Quantity
Margarine (pound) $0.81 20 $2.00 26 Shortening (pound) 0.84 1 1.88 8
Milk (1/2 gallon) 1.44 74 2.89 63 Potato chips 2.91 28 3.99 34 Compute Paasche's index for 2018 using 2010 as the base period. (Round your answer to 2 decimal places.) Paasche's index _________
To compute Paasche's index for 2018 using 2010 as the base period, we need to use the formula:
Paasche's index = (current year prices * current year quantities) / (base year prices * current year quantities)
Using the given information, we have:
For Margarine:
- Current year prices: $2.00
- Current year quantities: 26
- Base year prices: $0.81
- Base year quantities: 20
Paasche's index for Margarine = (2.00 * 26) / (0.81 * 20) = 2.54
For Shortening:
- Current year prices: $1.88
- Current year quantities: 8
- Base year prices: $0.84
- Base year quantities: 1
Paasche's index for Shortening = (1.88 * 8) / (0.84 * 1) = 17.71
For Milk:
- Current year prices: $2.89
- Current year quantities: 63
- Base year prices: $1.44
- Base year quantities: 74
Paasche's index for Milk = (2.89 * 63) / (1.44 * 74) = 2.26
For Potato chips:
- Current year prices: $3.99
- Current year quantities: 34
- Base year prices: $2.91
- Base year quantities: 28
Paasche's index for Potato chips = (3.99 * 34) / (2.91 * 28) = 1.87
Therefore, the Paasche's index for 2018 using 2010 as the base period is:
Paasche's index = (2.54 + 17.71 + 2.26 + 1.87) / 4 = 6.34 (rounded to 2 decimal places)
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The weekly demand of a slow-moving product has the following probability mass function: Demand, Probability, fx) 0.2 0.4 1 2 0.3 3 0.1 4 or more 0 Use VLOOKUP to generate 25 random variates from this distribution
To generate 25 random variates from this distribution using VLOOKUP, you can follow these steps:
1. Create a table with two columns - "Cumulative Probability" and "Demand".
2. In the "Cumulative Probability" column, list the cumulative probabilities for each demand value. To do this, add up the probabilities for all demand values up to and including the current demand value. For example, for demand value 1, the cumulative probability would be 0.4 (0.2 + 0.2).
3. In the "Demand" column, list the demand values.
4. Use the VLOOKUP function to generate the random variates. For each variate, use the RAND() function to generate a random number between 0 and 1, and then use VLOOKUP to find the corresponding demand value based on the cumulative probability. For example, if the random number is 0.3, and the cumulative probability for demand value 2 is 0.7, then the VLOOKUP function would return a demand value of 2.
Here's an example of how the table and VLOOKUP formula would look:
| Cumulative Probability | Demand |
|-----------------------|--------|
| 0.4 | 1 |
| 0.7 | 2 |
| 1.0 | 3 |
| 1.0 | 4 or more |
Assuming the table is in cells A1:B4, the VLOOKUP formula for the first variate would be:
=VLOOKUP(RAND(), A1:B4, 2, TRUE)
This will generate a random variate from the distribution. Copy and paste the formula into 24 more cells to generate a total of 25 variates.
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How many ways can you pick five students for the student council when there are twelve people running ?
Combinations and probability.
The number of ways we can pick five students for a student council if we have twelve people running would be 792 ways.
How to find the number of ways ?The formula needed to calculate the number of possible ways for a student council consisting of five individuals, from a pool of twelve candidates, is the combination equation.
n choose k = n! / (k! x (n - k)!)
= 12 ! / ( 5 ! ( 12 ! - 5 ) !)
= 12 ! / ( 5 ! x 7 !)
= 792 ways
Thus, it has been determined that there exist 792 feasible options for selecting members for this student council out of the aforementioned dozen contestants.
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This is Section 4.3 Problem 46: A driver driving on an straight south-north highway records the velocity of the car in the hours after he leaves home at 11:00AM: v(t) = 54t − 24t2 , where t , in hours, measures the time passed after 11:00AM, and v is in miles per hour. Using a definite integral, it is determined that at 1:00PM, the driver is miles ---Select--- from his home.
Using the definite integral, it is determined that the driver is 108 miles from his home at 1:00 PM.
We need to find the distance travelled by the driver between 11:00 AM and 1:00 PM.
The velocity of the driver is given by v(t) = 54t − 24t^2.
We can find the distance travelled by finding the definite integral of v(t) with respect to t, between 0 and 2 (since the driver leaves at 11:00 AM and we need to find the distance travelled by 1:00 PM, which is 2 hours later).
[tex]\int\limits^0_2[/tex]v(t) dt = [tex]\int\limits^0_2[/tex](54t − 24t²) dt
= [27t² - 8t³] between 0 and 2
= [27(2)² - 8(2)³] - [27(0)² - 8(0)³]
= 108 - 0
= 108 miles
Therefore, the driver is 108 miles away from his home at 1:00 PM.
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yann and camille go to a restaurant. if there are $10$ items on the menu, and each orders one dish, how many different combinations of meals can yann and camille order if they refuse to order the same dish? (it does matter who orders what---yann ordering chicken and camille ordering fish is different from yann ordering fish and camille ordering chicken.)
Therefore, there are 45 different combinations of meals that Yann and Camille can order if they refuse to order the same dish.
This problem involves counting the number of ways two people can choose different dishes from a menu of 10 items, without repeating any dish. To solve this problem, we can use the formula for combinations, which is given by:
C(n, k) = n!/[(n-k)! k!]
where n is the total number of items, and k is the number of items we want to choose. In this case, we want to choose 2 items from a menu of 10, so we have:
C(10, 2) = 10!/[(10-2)! 2!]
= (10 x 9)/2
= 45
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the length of a rectangular piece of sheet metal is longer than its width. a square piece that measures on each side is cut from each corner, then the sides are turned up to make a box with volume . find the length and width of the original piece of sheet metal.
The width of the original piece of sheet metal is (w^2 - l^2)/(3w + 3l), and the length is (l^2 - w^2)/(3w + 3l).
To solve this problem, we can use the formula for the volume of a rectangular box, which is V = lwh, where l is the length, w is the width, and h is the height.
First, let's find the height of the box. Since we cut squares from each corner, the height of the box is the length of the square that was cut out. Let's call this length x.
The width of the box is the original width minus the lengths of the two squares that were cut out, which is w - 2x.
Similarly, the length of the box is the original length minus the lengths of the two squares that were cut out, which is l - 2x.
Now we can write the volume of the box in terms of x, w, and l:
V = (w - 2x)(l - 2x)(x)
Expanding this expression, we get:
V = x(4wl - 4wx - 4lx + 8x^2)
Simplifying further:
V = 4x^3 - 4wx^2 - 4lx^2 + 4wlx
To find the dimensions of the original piece of sheet metal, we need to maximize this volume. We can do this by taking the derivative of the volume with respect to x and setting it equal to zero:
dV/dx = 12x^2 - 8wx - 8lx + 4wl = 0
Solving for x, we get:
x = (2wl)/(3w + 3l)
Now we can use this value of x to find the width and length of the original piece of sheet metal:
w - 2x = w - 2(2wl)/(3w + 3l) = (w^2 - l^2)/(3w + 3l)
l - 2x = l - 2(2wl)/(3w + 3l) = (l^2 - w^2)/(3w + 3l)
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Hey just needed to know if it 3 or -3 for the slope of this line!
The slope of the line is -3. The equation of the line is expressed as: y = -3x + 7.
How to Find the Equation of a Line in Slope-intercept Form?The equation, y = mx + b, if the slope-intercept form of any straight line, where:
m is the slope = change in y / change in x = rise / run
b is the y-intercept or the point on the y-axis that the line cuts across.
From the graph, we know that:
b = 7 (y-intercept)
Slope (m) = rise/run = -3/1
Slope (m) = -3
Therefore, the equation of the line would be:
y = -3x + 7
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Can someone help me asap? It’s due today!! I will give brainliest if it’s correct
Please show work
The correct generalization about the height of the trees is given as follows:
The IQR is 160 feet. The middle half of cedar trees have heights that vary by 160 feet at most.
How to obtain the interquartile range?The ordered heights of the trees are given as follows:
16, 40, 49, 130, 200, 210.
The data-set is divided into two halves, as follows:
Lower half: 16, 40, 49.Upper half: 130, 200, 210.The quartiles are given as follows:
First quartile -> middle element of the first half -> 40.Third quartile -> middle element of the second half -> 200.The interquartile range represents how much the middle 50% of elements vary, and is the difference of the third quartile by the first quartile, hence:
IQR = 200 - 40 = 60.
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HELP! I don’t know what to put down for the formula for question 9a, could someone help?
[In this question the unit vectors i and j are due east and due north respectively.] A coastguard station O monitors the movements of a small boat. At 10:00 the boat is at the point ( 4i−2j) km relative to O. At 12:45 the boat is at the point ( −3i−5j) km relative to O. The motion of the boat is modelled as that of a particle moving in a straight line at a constant speed. Calculate the speed of the boat, giving your answer in kmh−1 (3 marks)
The speed of the boat is approximately 9.21 km/h.
How to solveIn order to ascertain the speed of the boat, we must find out the number of kilometers traversed by it and the amount of time taken for traveling that distance.
The traveled distance by the boat is equal to the space between two points,
or the magnitude of (final position vector - initial position vector),
which in this case is (-7i - 3j). Hence, the total distance of sqrt((-7)^2 + (-3)^2) kilometers is obtained.
Regarding the amount of time taken to travel that predetermined distance, it computes to be 2 hours 45 minutes, or 2.75 hours.
Therefore, through simple division, the speed of the boat can be determined at roughly 9.21 km/h, which results when you divide the traveled distance of sqrt(58) by the time taken in hours, that is, 2.75.
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sum of 3 consecutive even numbers is 18
Please explain step by step with equation
Answer:
5, 6, 7
Step-by-step explanation:
This question deals with linear equetion.
Let the first no. x , the 2nd one x + 1 and the 3rd no. will be x + 2 .
we have given that 3 consucetive sum are 18 so we write this equetion as
x + x + 1 + x + 2 = 18
3x + 3 = 18
3x = 18 - 3
3x = 15
3x/3 = 15/3
x = 5
so the 1st no. is 5
the 2nd no. is 5 + 1 = 6
the 3rd no. is 5 + 2 = 7
and the no. is 5, 6, 7