Answer:
0.395
Step-by-step explanation:
Parallelogram W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at point C. The length of W C is (x + 4) feet and the length of C Y is (2 x minus 7) feet.
In parallelogram WXYZ, what is CY?
11 ft
15 ft
21 ft
23 ft
Answer:
b on edge 2021
Step-by-step explanation:
From the calculations, the length of CY in the parallelogram is 15 feet.
What is a diagonal?A diagonal is a line that runs from one end to another in a quadrilateral. We know that in such quadrilaterals as the parallelogram, the diagonals bisect each other.
Hence;
CY =WC
And
2x - 7 = x + 4
collecting like terms;
2x - x = 4 + 7
x = 11
Thus
CY = 2x - 7
= 2*11 - 7
= 22- 7
= 15
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determine the side congruent to RT
Step-by-step explanation:
If the hypotenuse and a side of a right- angled triangle is equivalent to the hypotenuse and a side of the second right- angled triangle, then the two right triangles are said to be congruent by RHS rule. In above figure, hypotenuse XZ = RT and side YZ=ST, hence ∆ XYZ ≅ ∆ RST.
A plane travels a distance of 3,300 miles at a rate of 550 mph. How long will it take
the plane to reach its destination?
Answer:
6 hours
Step-by-step explanation:
Divide 3300 by 550, so it's 6.
A velociraptor runs 5m [e] , 10 m [w], 3m [s], & 2m [w] in 10 seconds. calculate speed & velocity.
The velociraptor's speed is 2 m/s, and its velocity is -0.3 m/s [w].
What is the total distance covered?
To calculate the speed and velocity of the velociraptor, we need to first find the total distance it covered and the displacement.
Total distance = 5m + 10m + 3m + 2m = 20m
Displacement = Final position - Initial position
Displacement = (2m [w]) - (5m [e])
Displacement = -3m [w]
Velocity is defined as displacement per unit time, while speed is defined as distance per unit time.
Velocity = Displacement / Time
Velocity = -3m [w] / 10s
Velocity = -0.3 m/s [w]
Speed = Total distance / Time
Speed = 20m / 10s
Speed = 2 m/s
Therefore, the velociraptor's speed is 2 m/s, and its velocity is -0.3 m/s [w].
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Blair & Rosen, Inc. (B&R), is a brokerage firm that specializes in investment portfolios designed to meet the specific risk tolerances of its clients. A client who contacted B&R this past week has a maximum of $85,000 to invest. B&R's investment advisor decides to recommend a portfolio consisting of two investment funds: an Internet fund and a Blue Chip fund. The Internet fund has a projected annual return of 9%, whereas the Blue Chip fund has a projected annual return of 8%. The investment advisor requires that at most $55,000 of the client's funds should be invested in the Internet fund. B&R services include a risk rating for each investment alternative. The Internet fund, which is the more risky of the two investment alternatives, has a risk rating of 6 per thousand dollars invested. The Blue Chip fund has a risk rating of 4 per thousand dollars invested. For example, if $10,000 is invested in each of the two investment funds, B&R's risk rating for the portfolio would be
6(10) + 4(10) = 100.
Finally, B&R developed a questionnaire to measure each client's risk tolerance. Based on the responses, each client is classified as a conservative, moderate, or aggressive investor. Suppose that the questionnaire results classified the current client as a moderate investor. B&R recommends that a client who is a moderate investor limit his or her portfolio to a maximum risk rating of 410.
(a)
Formulate a linear programming model to find the best investment strategy for this client. (Assume N is the amount invested in the internet fund project and B is the amount invested in the Blue Chip fund. Express the amounts invested in thousands of dollars.)
Max _______________ s.t.
Available investment funds
Maximum investment in the internet fund
Maximum risk for a moderate investor
N, B ≥ 0
(b)
Build a spreadsheet model and solve the problem using Excel Solver. What is the recommended investment portfolio (in dollars) for this client?
internet fund$
blue chip fund$
What is the annual return (in dollars) for the portfolio?
$
(b)
Suppose that a second client with $85,000 to invest has been classified as an aggressive investor. B&R recommends that the maximum portfolio risk rating for an aggressive investor is 450. What is the recommended investment portfolio (in dollars) for this aggressive investor?
internet fund$
blue chip fund$
(d)
Suppose that a third client with $85,000 to invest has been classified as a conservative investor. B&R recommends that the maximum portfolio risk rating for a conservative investor is 320. Develop the recommended investment portfolio (in dollars) for the conservative investor.
internet fund$
blue chip fund$
A. N, B ≥ 0 (non-negativity constraint)
B. The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.
C. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
D. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
(a)
The linear programming model to find the best investment strategy for this client can be formulated as follows:
Maximize: 0.09N + 0.08B
Subject to:
N + B ≤ 85 (maximum investment of $85,000)
N ≤ 55 (maximum investment of $55,000 in the internet fund)
6N + 4B ≤ 410 (maximum risk rating of 410 for a moderate investor)
N, B ≥ 0 (non-negativity constraint)
(b)
To solve the problem using Excel Solver, you can set up the following spreadsheet model:
Cell A1: N (amount invested in the internet fund)
Cell B1: B (amount invested in the Blue Chip fund)
Cell C1: =0.09A1 + 0.08B1 (annual return for the portfolio)
Constraints:
Cell A2: ≤ 85
Cell B2: ≤ 85
Cell C2: ≤ 55
Cell D2: ≤ 410
The objective is to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints.
Using Excel Solver, set the objective to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints in cells A2, B2, C2, and D2.
The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.
(b)
For the aggressive investor with a maximum portfolio risk rating of 450, the linear programming model remains the same, except for the constraint on the maximum risk rating.
The new constraint would be: 6N + 4B ≤ 450
Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
(d)
For the conservative investor with a maximum portfolio risk rating of 320, the linear programming model remains the same, except for the constraint on the maximum risk rating.
The new constraint would be: 6N + 4B ≤ 320
Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
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as alpha increases the exponential smoothing model group of answer choices produces sluggish forecasts. reacts quickly to changes in the data. reacts slowly to changes in the data. does not change.
Exponential smoothing is a popular forecasting technique used to predict future trends in time-series data. It works by assigning weights to historical data points, with more recent data points receiving higher weights. The level of smoothing is controlled by a smoothing parameter called alpha, which ranges between 0 and 1. As alpha increases, the influence of older data points decreases, and the model becomes more reactive to recent changes in the data.
When alpha is high, the exponential smoothing model group of answer choices tends to produce sluggish forecasts. This is because the model gives more weight to recent data points, which can cause it to overreact to short-term fluctuations in the data. As a result, the model may miss important trends or patterns in the data that would have been captured by a more balanced weighting scheme.
On the other hand, when alpha is low, the model tends to be more stable and less reactive to short-term changes in the data. This can be useful for predicting long-term trends or for smoothing out noisy data sets.
In summary, the choice of alpha in an exponential smoothing model depends on the characteristics of the data and the goals of the forecast. A high alpha value may be appropriate for short-term forecasting or for data sets with high volatility, while a low alpha value may be more suitable for long-term forecasting or for data sets with low volatility.
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Find the quotient of
30 x 10-24
5x10-24
Write the final answer in scientific notation.
Answer: The quotient of (30 x 10^-24)/(5 x 10^-24) is 6, which means that in scientific notation, it’s written as 6 x 10^0.
Answer Choices
A)neither Anne nor Tim
B)both Anne and Ti
C)only Anne
D)only Tim
WILL MAKE THE BRAINLIEST ANSWER IF RIGHT!!
Answer:
c) only Anne
Step-by-step explanation:
I just did the test. Hope this helps! : )
There are 15 apples but 1.3 we’re ate how many are left
Answer:
not completely sure but I think it's it's 13.4
Find all possible values of P in x^2-10x+P=(x-A)(x-B) if P, A and B are all whole numbers
The value of P in the expression \(x^2-10x+P=(x-A)(x-B)\) is 25
Given the expression \(x^2-10x+P=(x-A)(x-B)\)
To get the value of P, we will use the completing the square method;
Add the square of the half of the coefficient of x
The coefficient of x is -10Half of the coefficient of x is -10/2 = 5Square of half of the coefficient of x = 5^2 = 25Hence the complete quadratic expression will be \(x^2-10x + 25\)
Hence the value of P in the expression \(x^2-10x+P=(x-A)(x-B)\) is 25
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PLEASE HELP FAST I WILL GVOE BRAINLIDT AND 10 POINTS READ IT CAREFULLY DONT ANSWER IF YOU DONT KNOW OR I WILL REPORT THANKS!
Answer:
it is C because he gets $10 every day
Answer: Graph A
Step-by-step explanation:
I got the answer by looking at the lines origins, because the daily income starts out at $10 a day. This took out B and D for answers since they start at (0,0) not (0,10)
Then I found the value of 10x.5 for each newspaper, graph c's slope was to steep to represent that, thus making it Graph A.
In conclusion the correct answer is graph A
You and your coworker together make $16 per hour. You know your coworker earns 10 percent more than you do. Your hourly wage is $ ___. After taking Math 1010 your hourly wage is raised to $12. This is a raise of ___ %. After returning to work you can't help mentioning casually to your coworker that now you make ___ % more than he does. He responds wistfully that this is as it should be since now you can figure problems like the ones on this assignment!
After taking Math 1010, their hourly wage increases to $12, which is a raise of 20%. They now make 20% more than their coworker. the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.the raise is 57.4%.
The hourly wage of the person is $10, while their coworker earns 10% more, making it $11 per hour.
Let's denote the person's hourly wage as x. According to the given information, the coworker earns 10% more than the person. This means the coworker's hourly wage is x + 0.10x = 1.10x.
Together, they make $16 per hour, so their combined wages are x + 1.10x = 2.10x. Since this equals $16, we can solve for x: 2.10x = $16, which gives x = $7.62.
After taking Math 1010, the person's hourly wage increases to $12. The raise amount can be calculated as the difference between the new wage and the previous wage, which is $12 - $7.62 = $4.38. To calculate the raise percentage, we divide the raise amount by the previous wage and multiply by 100: (4.38 / 7.62) * 100 ≈ 57.4%. Therefore, the raise is approximately 57.4%.
Since the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.
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you have torn a tendon and is facing surgery to repair it. the surgeon explains the risks to you: infection occurs in 4% of such operations, the repair fails in 12%, and both infection and failure occur together in 2%. what percentage of these operations succeed and are free from infection? give your answer as a whole number.
Percentage of these operations succeed and are free from infection is 86%.
In order to determine the proportion of successful operations that are problem-free and infection-free, we will subtract the total of operations that have issues with either one or both.
You can find out what percentage of a whole one part is by performing a simple calculation. Divide the part by the total then multiply that answer by 100. In other words, your percentage is lets you know what fraction of the whole the part represents out of 100.
Mathematically speaking: percentage = (part ÷ whole) × 100.
The 4%, 12%, and 2% amounts represent those affected by infection, unsuccessful repair, and the combination of both respectively.
We then calculate the 100% - (4% + 12% - 2%) = 86%.
Therefore, the answer is 86%.
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the ratio of wins to losses to ties for yan's soccer team at was 3:2:1. if the team played 18 games, how many games did they win? Show your work.
Answer:
9
Step-by-step explanation:
Let the ratio's unit be x. We have:
3x:2x:x. We add these up to get 6x. 6x=18, so x=3. 3*3 (since the wins is 3 in the ratio 3:2:1) is 9, so there's your answer! We can double check because 3*2 = 6 losses, and 3*1 = 3 draws, and 9:6:3=3:2:1, and 9+6+3=18!
A father is 38 years old, his sons are 13 and 5 years old, and his daughter is 8 years old. In how many years will the father be the same age as his children put together?
Answer: 6
Step-by-step explanation:
38+x= 13+5+8+x
38+x=26+x
38-26=2x
12=2x
x=6
Calculate an interval for which you can have a high degree of confidence that at least 95% of all UHPC specimens adhered to steel will have work of adhesion values between the limits of the interval. (Round your answers to two decimal places.)
To calculate the interval for a high degree of confidence that at least 95% of all UHPC specimens adhered to steel will have work of adhesion values between the limits of the interval, we need to use a confidence interval formula. Assuming a normal distribution, we can use the formula:
1. Obtain the mean (µ) and standard deviation (σ) of the work of adhesion values from the sample data.
2. Determine the desired confidence level (95% in this case), which corresponds to a Z-score of 1.96 (from a standard normal distribution table).
3. Calculate the standard error (SE) by dividing the standard deviation (σ) by the square root of the sample size (n): SE = σ / √n.
4. Calculate the margin of error (ME) by multiplying the Z-score by the standard error: ME = 1.96 * SE.
5. Find the confidence interval by subtracting and adding the margin of error from the mean: (µ - ME, µ + ME).
Round your answers to two decimal places. This interval provides a 95% confidence that the true work of adhesion values for at least 95% of all UHPC specimens adhered to steel lie between these limits.
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g what are the limits for outliers? (round your answers to the nearest whole number. negative amounts should be indicated by a minus sign.)
The distribution of component size is likely skewed to the right so it is mild positive skewed. so, the correct option is A). Lower limit for outliers is -279 and upper limit is 1016.
The fact that the largest component (California) has more than three times as many members as the smallest component (Rhode Island) suggests a potentially right-skewed distribution. So, the correct answer is mild positive skewed and option is A).
To determine the limits for outliers, we need to calculate the lower and upper bounds. Using the interquartile range (IQR) method, we can calculate the lower and upper bounds as:
Lower bound = Q1 - 1.5 x IQR
Upper bound = Q3 + 1.5 x IQR
Where Q1 is the first quartile, Q3 is the third quartile, and IQR is the interquartile range.
Using a calculator or statistical software, we can find:
Q1 = 197
Q3 = 542
IQR = Q3 - Q1 = 345
Substituting these values, we get:
Lower bound = 197 - 1.5 x 345 = -279
Upper bound = 542 + 1.5 x 345 = 1016
Therefore, any component size less than -279 or greater than 1016 would be considered an outlier.
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--The given question is incomplete, the complete question is given
" The American Society of PeriAnesthesia Nurses (ASPAN; www.aspan.org) is a national organization serving nurses practicing in ambulatory surgery, preanesthesia, and postanesthesia care. The organization consists of the 40 components listed below.
State/Region Membership
Alabama 95
Arizona 399
Maryland, Delaware, DC 531
Connecticut 239
Florida 631
Georgia 384
Hawaii 73
Illinois 562
Indiana 270
Iowa 117
Kentucky 197
Louisiana 258
Michigan 411
Massachusetts 480
Maine 97
Minnesota, Dakotas 289
Missouri, Kansas 282
Mississippi 90
Nebraska 115
North Carolina 542
Nevada 106
New Jersey, Bermuda 517
Alaska, Idaho, Montana, Oregon, Washington 708
New York 891
Ohio 708
Oklahoma 171
Arkansas 68
California 1,165
New Mexico 79
Pennsylvania 575
Rhode Island 53
Colorado 409
South Carolina 237
Texas 1,026
Tennessee 167
Utah 67
Virginia 414
Vermont, New Hampshire 144
Wisconsin 311
West Virginia 62 A. What do you conclude about the shape of the distribution of component size?
multiple choice 1
A) Mild negative skewness
B) Mild positive skewness
B. What are the limits for outliers? (Round your answers to the nearest whole number. Negative amounts should be indicated by a minus sign.)"--
in the figure, which line best illustrates the growth of a facultative anaerobe incubated aerobically?
The line best illustrates the growth of a facultative anaerobe incubated aerobically is (b) on the graph.
Cells are the basic unit of life, and they carry out a variety of functions within an organism.
When a catalase-negative cell is exposed to hydrogen peroxide, the hydrogen peroxide will not be broken down into water and oxygen as quickly as it would be in a catalase-positive cell (i.e., a cell that does produce catalase).
This can have important implications for the survival of the cell, particularly under aerobic (i.e., oxygen-rich) conditions.
The figure may contain several lines or curves, each of which represents the change in concentration of hydrogen peroxide over time for a different type of cell.
One of these lines will correspond to the catalase-negative cell. Since this cell does not produce catalase, the rate at which hydrogen peroxide is broken down will be slower than in a catalase-positive cell.
Therefore, the line corresponding to the catalase-negative cell should show a slower decrease in hydrogen peroxide concentration over time than the line corresponding to a catalase-positive cell.
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Which of the following pair of triangles demonstrates that two triangles with three congruent angles are not necessarily congruent?
Answer:
it is A.
Step-by-step explanation:
this should be A.
if it isn't sorry
Answer:
A.
Step-by-step explanation:
Find the value of z that corresponds to the following: a) Area = 0.1210 b) Area = 0.9898 c) 45th percentile
a) The value of z corresponding to an area of 0.1210 can be found using statistical tables or a statistical calculator.
b) Similarly, the value of z corresponding to an area of 0.9898 can be obtained using statistical tables or a statistical calculator.
c) To find the value of z at the 45th percentile, we can use the standard normal distribution table or a statistical calculator.
a) To find the value of z corresponding to an area of 0.1210, you can use a standard normal distribution table or a statistical calculator. By looking up the area of 0.1210 in the table, you can determine the corresponding z-value. For example, if you find that the z-value for an area of 0.1210 is -1.15, then -1.15 is the value of z corresponding to the given area.
b) Similarly, to find the value of z corresponding to an area of 0.9898, you can refer to a standard normal distribution table or use a statistical calculator. Find the z-value that corresponds to the area of 0.9898. For instance, if the z-value for an area of 0.9898 is 2.32, then 2.32 is the value of z corresponding to the given area.
c) To find the value of z at the 45th percentile, you can use a standard normal distribution table or a statistical calculator. The 45th percentile corresponds to an area of 0.4500. By finding the z-value for an area of 0.4500, you can determine the value of z at the 45th percentile. For example, if the z-value for an area of 0.4500 is 0.125, then 0.125 is the value of z at the 45th percentile.
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What is 1/3 (x + 15) = 3
Answer:
hi there
-6
Step-by-step explanation:
x=-6
Final Answer: \(x = -6\)
Steps/Reasons/Explanation:
Question: What is \(\frac{1}{3} (x + 15) = 3\)?
Step 1: Simplify \(\frac{1}{3}(x + 15)\) to \(\frac{x+15}{3}\).
\(\frac{x + 15}{3} = 3\)
Step 2: Multiply both sides by \(3\).
\(x + 15 = 3\) × \(3\)
Step 3: Simplify \(3\) × \(3\) to \(9\).
\(x + 15 = 9\)
Step 4: Subtract \(15\) from both sides.
\(x = 9 - 15\)
Step 5: Simplify \(9 - 15\) to \(-6\).
\(x = -6\)
~I hope I helped you :)~
I need help on this 3rd grade homework
Pls help
The correct option or equation that applies to the given situation is 7*6 = (4*6) + (3*6).
According to the question,
We have the following information:
Akela drew smaller arrays to find the product of a larger array.
Now, we have two figures where one has 6*3 boxes (6 horizontal boxes and 3 horizontal boxes) and in the second figure we have 6*4 boxes (6 horizontal boxes and 4 vertical boxes).
Now, to find the correct option, we will look for these two in options:
So, the option that has both of them is 7*6 = (4*6) + (3*6).
Now, we can verify whether the sides of the equation given are correct or not.
We have:
7*6 = 42
On right hand side, we have:
(4*6) + (3*6)
24+18
42
Hence, the correct option is 4th one.
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If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c. True False Question 4 (1 point). A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0. True False Question 5 (1 point) If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = C. True False
Question 3: True
Question 4: False
Question 5: True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.
This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.
True
When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.
Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.
False
A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.
Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.
True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
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A weight is attached to a spring, which moves up and down as a function of time. p(t) gives the position of the weight at time (t). Position is in centimeters, and time is in seconds. Complete the following sentences based on the graph of the function. · The graph is a linear, nonlinear, or constant function. · The initial position of the weight is _ centimeter(s). · The weight first reaches equilibrium when t = _ second(s). Note: We say that the weight is at equilibrium whenever p(t)=0 cm and we say that the initial position of the block is its position when t=0s PLZ help me look at the picture for the graph plz answer ASAP thank you
Answer:
This graph is nonlinear
The initial displacement of the weight is 40cm
The weight first returns to equilibrium when t=1/2
Step-by-step explanation:
thats the answer i only had time to give not to explain
Answer:
the answer is in the photo ^^
Step-by-step explanation:
the correct thing is there for confirmation ;)
The lengths, in inches, and corresponding weights, in ounces, for 15 different-sized bluegill fish were measured and recorded. given the regression equation, , what is the expected weight for a bluegill fish that is 11 inches long? 19.47 ounces 31.19 ounces 32.56 ounces 37.84 ounces
The expected weight for a bluegill fish that is 11 inches long is equal to: A. 19.47 ounces.
How to determine the expected weight?Based on the information provided, the regression equation that represents or models the relationship between the lengths and weights for 15 different-sized bluegill fish is given by this mathematical expression:
In(Weight) = -5.28 + 3.44 In(Length)
Substituting the given parameters into the formula, we have;
In(Weight) = -5.28 + 3.44(11)
In(Weight) = -5.28 + 37.84
In(Weight) = 32.56 inches.
Next, we would convert the weight in inches to ounces;
1 inch = 0.5979729730 ounce.
32.56 inches = X ounce.
Cross-multiplying, we have:
X ounce = 32.56 inches × 0.5979729730 ounce.
X ounce = 19.47 ounces.
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Complete Question:
The lengths, in inches, and corresponding weights, in ounces, for 15 different-sized bluegill fish were measured and recorded. Given the regression equation, In(Weight) = -5.28 + 3.44 In(Length), what is the expected weight for a bluegill fish that is 11 inches long?
A. 19.47
B. 31.19
C. 32.56
D. 37.84
I need help solving
Step-by-step explanation:
Divide a percentage by 100% to convert it.
=> (1/20%) / 100% = 0.0005 or 1/2000.
What Is The Slope Of the Line
Answer:
2/2.5 or 3/4 I pretty sure that's right
Identify the chords inscribed angles and central angles in the figure
The chords, inscribed angles, and central angles in the figure has been identified below.
What is a Chord?A chord is a line segment that has both endpoints that lies on the circumference of a circle.
What is an Inscribed Angle?An inscribed angle can be defined as an angle that is formed by two chords in a circle, and having its vertex on the circumference of the circle.
What is a Central Angle?A central angle is an angle that has its vertex at the center of the circle and it is formed by two radii of the circle.
1. The chords in the circle are: DE and EF
Inscribed angle is: angle DEF
Central angle are: angle DCF
2. The chords in the circle are: RS, ST, and SU
Inscribed angle are: angles STR, SRT, SRT, and RSU
Central angle are: angles TCU, SCT, SCR, and RCU
3. The chords in the circle are: DG and EF
Inscribed angle are: angles DGF and GEF
Central angle is: none
4. The chord in the circle is: AE
Inscribed angles are: none
Central angle is: angles DCE, ACB, BCE, and BCD
5. m<DGE = 1/2(84)
m<DGE = 42°
6. m<EFD = 1/2(84)
m<EFD = 42°
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1. Find the measure of each of the following angles in the rhombus
Answer:
it will be 44 degree because all angles in rhombus are equal
On Feb. 19th, 2010, 4.13% of the randomly selected spots had potamogeton (a type of seagrass). Is 4.13% a statistic or a parameter?
A statistic is, 4.13%.
Given that;
On Feb. 19th, 2010, 4.13% of the randomly selected spots had potamogeton (a type of seagrass)
Since, A parameter is a value that is determined from all of the data, whereas a statistic is a value that is produced from a sample of the data.
Here, The percentage of spots containing portamento in this instance was solely determined from a randomly chosen sample, making it a statistic.
Hence, It would be a parameter if the percentage was determined using the whole population of spots.
Thus, 4.13% is a statistic.
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