Bycatch for one fisherman was 75 pounds before implementing catch shares. The fisherman’s bycatch decreased by 66%, how many pounds did it decrease by?
The original weight of bycatch before the implementation of the catch shares was 75 pounds. Bycatch decreased by 66%, we can find the pounds it decreased by the following calculation: Decreased by = 66% × 75 poundsDecreased by = 0.66 × 75 poundsDecreased by = 49.5 poundsTherefore, the bycatch decreased by 49.5 pounds. The new weight of the bycatch after the implementation of the catch shares is 75 pounds - 49.5 pounds = 25.5 pounds.More than 100 is not a relevant term for this question.
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The null and alternate hypotheses are:
H0 : μd ≤ 0
H1 : μd > 0
The following sample information shows the number of defective units produced on the day shift and the afternoon shift for a sample of four days last month.
Day
1 2 3 4
Day shift 10 12 15 19
Afternoon shift 8 9 12 15
At the 0.05 significance level, can we conclude there are more defects produced on the day shift? Hint: For the calculations, assume the day shift as the first sample.
State the decision rule. (Round your answer to 3 decimal places.)
Compute the value of the test statistic. (Round your answer to 3 decimal places.)
What is the p-value?
multiple choice 1
Between 0.0005 And 0.005
Between 0.05 And 0.1
Between 0.005 And 0.05
What is your decision regarding H0?
multiple choice 2
Reject H0
Do not reject H0
We can infer that there are more flaws caused on the day shift at the 0.05 significance level.
To determine if there are more defects produced on the day shift compared to the afternoon shift, we can conduct a one-tailed paired t-test. Let's go through the steps:
1. Null and alternate hypotheses:
H0: μd ≤ 0 (There is no significant difference or the day shift has fewer defects)
H1: μd > 0 (There are more defects on the day shift)
2. Sample information:
Day: 1 2 3 4
Day shift: 10 12 15 19
Afternoon shift: 8 9 12 15
3. Calculate the differences:
We calculate the difference between the day shift and afternoon shift for each day:
d = (Day shift) - (Afternoon shift)
d = 10-8, 12-9, 15-12, 19-15
d = 2, 3, 3, 4
4. Calculate the mean and standard deviation of the differences:
Mean (xd) = (2+3+3+4)/4 = 3
Standard deviation (sd) = √[(Σ(d-xd)²)/(n-1)]
= √[(0²+1²+1²+2²)/3]
≈ √(6/3)
≈ √2
≈ 1.414
5. Calculate the test statistic:
t = (xd - μd)/(sd/√n)
= (3 - 0)/(1.414/√4)
= 3/0.707
≈ 4.243
6. Degrees of freedom:
Degrees of freedom (df) = n - 1 = 4 - 1 = 3
7. Decision rule:
Since we are conducting a one-tailed test at the 0.05 significance level, the critical t-value is obtained from the t-distribution table for df = 3 and α = 0.05. The critical t-value is approximately 2.920.
8. Decision regarding H0:
If the calculated test statistic (t) is greater than the critical t-value, we reject H0. Otherwise, we do not reject H0.
9. P-value:
To find the p-value associated with the calculated test statistic, we need to look it up in the t-distribution table or use statistical software. The p-value represents the probability of observing a test statistic as extreme or more extreme than the one calculated, assuming H0 is true. In this case, the p-value is less than 0.005 (Between 0.0005 and 0.005).
Summary:
- Decision rule: Since the calculated test statistic (4.243) is greater than the critical t-value (2.920), we reject H0.
- The p-value is less than 0.005.
- Decision regarding H0: We reject H0.
Therefore, at the 0.05 significance level, we can conclude that there are more defects produced on the day shift.
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Liz flips a coin 70 times. The coin lands heads up 28 times and tails up 42 times. Complete each
statement.
Answer:
whar state ment
Step-by-step explanation:
Determine if XY is tangent to circle Z.
8
10
Z
O Yes
Ο No
The correct option is NO, the line XY is not tangent to the circle Z.
Tangent to a circle theoremThe tangent to a circle theorem states that a line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency
For the line XY to be tangent to the circle Z implies line XZ is perpendicular to line XY which will make the triangle XYZ a right triangle
So by Pythagoras rule, the sum of the square for the sides XZ and XY must be equal to the square of YZ, otherwise, XY is not a tangent to the circle Z
XY² = 5² = 25
XZ² + XY² = 8² + 10² = 164.
In conclusion, since XZ² + XY² is not equal to XY², then XY is not tangent to the circle Z.
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Sketch the graph of the function below, including correct signs, x-intercepts and y-
intercepts.
f(x) = (x + 5)(x + 3)(x - 2)2
Answer:
if you learned derivative:
f'x=(x+3)(x-2)²+(x+5)(x-2)²+2(x+5)(x+3)(x-2)
=4x³+12x²-26x-28=0
⇒x=2; =-0.84; =-4.16
⇒fx=0; =72.47; -36.97⇒fx contain (2;0); (-0.84;72.47); (-4.16;-36.97)
if x=0⇒f'x=-28<0⇒from -0.84 to 2, fx Decreasing
Step-by-step explanation:
plz help ive been stuck on this one also !!
Assume that a medical research study found a correlation of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer. This could be interpreted to mean:
a. the more vitamin A consumed, the lower a person's chances are of getting this type of cancer
b. the more vitamin A consumed, the higher a person's chances are of getting this type of cancer
c. vitamin A causes this type of cancer
The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.
A correlation coefficient measures the strength and direction of the linear relationship between two variables.
In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.
Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.
However, it is important to note that correlation does not imply causation.
It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.
Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.
To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.
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x / 12 equals 27 / 33
2.04 • 10 ^23 Which of the following shows and explain the approximate total mass , in grams , of all the atoms of the gas in the container
Answer:
20,400,000,000,000,000,000,000,000
Step-by-step explanation:
10 to the power of 23 is 1 with 23 zeros.
100,000,000,000,000,000,000,000 ⋅ 2.04 20,400,000,000,000,000,000,000,000
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One customer is chosen at random for a prize giveaway. What is the probability that the customer is at least 20 but no older than 50
a man stands a distance away from a 45 foot tower. the angle of depression from the top of the tower to the man is 40 degrees. how far away is the man from the tower?
Assuming that someone is asked to write a code (i.e., program) for nonlinear problem using least square adjustment technique, what would be your advice for this person to terminate the program?
This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.
When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.
One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.
Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.
Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.
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What is the scale factor used for the dilation?
A.1/6
B.1/3
C.3
D.6
Answer:
I would say the answer would be B if wrong sorry .
Step-by-step explanation:
Answer: 1/3
Step-by-step explanation:
3.18 a continuous random variable x that can assume values between x = 2 and x = 5 has a density function given by f(x) = 2(1 x)/27. find (a) p(x < 4); (b) p(3 ≤ x < 4).
For the given continuous random variable x:
(a) p(x < 4) = -8/27.
(b) p(3 ≤ x < 4) = -5/27
The continuous random variable x that can assume values between x = 2 and x = 5 has a density function given by f(x) = 2(1 x)/27.
(a) To find p(x < 4), we need to integrate the density function from x = 2 to x = 4:
p(x < 4) = ∫24 2(1 x)/27 dx
= (2/27) ∫24 (1 - x) dx
= (2/27) [(x - x2/2)]24
= (2/27) [(4 - 42/2) - (2 - 22/2)]
= (2/27) [(4 - 8) - (2 - 2)]
= (2/27) [(-4) - 0]
= (2/27) (-4)
= -8/27
So, p(x < 4) = -8/27.
(b) To find p(3 ≤ x < 4), we need to integrate the density function from x = 3 to x = 4:
p(3 ≤ x < 4) = ∫34 2(1 x)/27 dx
= (2/27) ∫34 (1 - x) dx
= (2/27) [(x - x2/2)]34
= (2/27) [(4 - 42/2) - (3 - 32/2)]
= (2/27) [(4 - 8) - (3 - 4.5)]
= (2/27) [(-4) - (-1.5)]
= (2/27) (-2.5)
= -5/27
So, p(3 ≤ x < 4) = -5/27.
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Find the perimeter of the image below:
37 units
38 units
39 units
40 units
Answer:
154
Step-by-step explanation:
add all of tham together to get it
It costs $60 per hour to rent a jet ski. The total cost of a jet ski rental
includes a flat fee of $20 plus the hourly fee. Which equation represents
the situation?
Answer:
y = 60x + 20
Step-by-step explanation:
The number of hours that we ski is a variable cost where each hour costs $60. On top of that, we have a fixed cost of $20 which stays the same no matter how long we ski.
So we can use an equation to find the totla cost C given the number of hours t as follows:
C(t) = 60t + 20
We can use this equation to find the cost of a skiing session by plugging in some value for t. For example, if we ski for 3 hours:
C(3) = 60(3) + 20 = $200
The equation can also be written using x and y and mean the same thing.
5.
Which picture shows a rotation of the flag?
(1)
(2)
(3)
(4)
Answer:
4 my good sir
Step-by-step explanation:
Five thousand tickets are sold at $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $600,3 prizes of $300,5 prizes of $40, and 20 prizes of $5. What is the expected value of this raffle if you buy 1 ticket? Let X be the random variable for the amount won on a single raffle ticket E(X)= dollars (Round to the nearest cent as needed)
The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.
To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:
- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.
- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.
- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.
- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.
Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.
Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.
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1. Using the polygon table as a reference, list all of the polygons that have interior angles that are whole numbers (a number that is not a fraction or a decimal)? Explain why it is that way.
The polygons listed that have interior angles that are whole numbers are:
Polygon a. Convex 15-gon, Yes, since 15 divides evenly into 180.
Polygon d. Convex 18-gon, Yes, since 18 divides evenly into 180.
Polygon h. Convex 45-gon, Yes, since 45 divides evenly into 180.
How to find the Interior angles of the Polygon?The sum of the interior angles of a polygon of n-sides is expressed as:
S = (n - 2)180
Since the polygons are regular, all the interior angles are the same, and as such each one is that expression divided by n:
(n - 2)180/n
That must be equal to a whole number, say, W. Since n does not divide
evenly into n-2, it must divide evenly into 180. So we go through
the list to see which numbers divide evenly into 180:
Polygon a. Convex 15-gon, Yes, since 15 divides evenly into 180.
Polygon b. Convex 16-gon, No, since 16 does not divide evenly into 180.
Polygon c. Convex 17-gon, No, since 17 does not divide evenly into 180.
Polygon d. Convex 18-gon, Yes, since 18 divides evenly into 180.
Polygon e. Convex 19-gon, No, since 19 does not divide evenly into 180.
Polygon f. Convex 43-gon, No, since 43 does not divide evenly into 180.
Polygon g. Convex 44-gon, No, since 44 does not divide evenly into 180.
Polygon h. Convex 45-gon, Yes, since 45 divides evenly into 180.
Polygon i. Convex 46-gon, No, since 46 does not divide evenly into 180.
Polygon j. Convex 47-gon, No, since 47 does not divide evenly into 180.
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Could someone check my answer?
(I'm pretty sure it's neither).
Answer:
i don't think it's right
Step-by-step explanation:
Answer:
The answer to the question provided is neither.
-
Step-by-step explanation:
☆We need to find the y value for the second equation first.
\( - 2x + 10y = 5 \: \: \: \: \: \: \\ \frac{ + 2x \: \: \: \: \: \: \: \: = + 2x}{ \frac{10y}{10} = \frac{2x + 5}{10} } \\ \\ y = \frac{1}{5} x + \frac{1}{2} \)
☆Its neither because the slopes arent the same and also isn't a negative reciprocal.
Find the range for the measure of the third side of a triangle given the measures of two sides. (Lesson 5-5)
9ft, 16ft
The range for the measure of the third side of a triangle, given the measures of the two sides as 9ft and 16ft, is greater than 7ft and less than 25ft.
In a triangle, the length of any side must be less than the sum of the lengths of the other two sides and greater than the difference between the lengths of the other two sides. This concept is known as the Triangle Inequality Theorem.
Given the measures of two sides as 9ft and 16ft, we can determine the range for the measure of the third side by applying the Triangle Inequality Theorem.
The third side must be less than the sum of the other two sides: 9ft + 16ft = 25ft.
The third side must also be greater than the difference between the other two sides: 16ft - 9ft = 7ft.
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When 3(2x + 9) = 4x - 7 is solved for X, the solution is
1
3.
is 17
4
xs-17
\(\\ \sf\longmapsto 3(2x+9)=4x-7\)
\(\\ \sf\longmapsto 6x+27=4x-7\)
\(\\ \sf\longmapsto 6x-4x=-7-27\)
\(\\ \sf\longmapsto 2x=-34\)
\(\\ \sf\longmapsto x=17\)
3. The parabola y = z is changed to the form y = a(z - p)2 + by translating the parabola 2 units up and 4 units right and expanding it vertically by a factor of 3. What are the values of , p, and ?-a= 2,p=3,q=4-a = 2,p=4,q=3- a = 4, p = 2,4 = 3-a = 3, p = 4,9 - 2
the correct question is
The parabola y = z^2 is changed to the form y = a(z - p)2 + q, by translating the parabola 2 units up and 4 units right and expanding it vertically by a factor of 3. What are the values of a, p, and q ?
-
we have
y=z^2 ------> parent function
vertex is (0,0)
y=a(z-p)^2+q
the translation is 2 units up and 4 units right
so
the rule is
(x,y) -----> (x+4,y+2)
so
y=a(z-4)^2+2
and
expanding it vertically by a factor of 3
the rule is
(x,y) -----> (x,3y)
therefore
y=3(z-4)^2+2
answer is
a=3p=4q=2Use the equation 4.9x-1.9=27.5
What two properties of equality do you need to use to solve the equation?
The two properties of equality that is needed to solve for the equation are addition property of equality and division property of equality.
Someone, please help I'm confused.
Answer:
The highest rate of birds is during the years 4 to 3
(remember that the lowest digit of number of negative is the highest and the highest is the lowest)
Step-by-step explanation:
Rate of Changes:
1 to 2: 5080.86 - 5238/ 2 - 1
= -157.14/1
= (convert to decimal) -157.1
2 to 3: 4928.43 - 5080.86/ 3 - 2
= -152.43/ 1
= -152.43
3 to 4: 4780.58 - 4928.43/ 4 - 3
= -147.85/ 1
= -147.85
A bag of kibble and 4 cans of cat food cost $8.40. The kibble
costs $6. Use the equation 4x+6= 8.40 to find x, the cost of
one can of cat food.
$0.65
B $0.60
$0.30
$0.70
m=4a+2c how many meatballs are required for a party of 20 adults and 5 children
Answer:
90 meatballs
Step-by-step explanation:
m=4a+2c
m=4(20) + 2(5)
m=90
Price controls in the Florida orange market The following graph shows the annual market for Florida oranges, which are sold in units of 90-pound boxes Use the graph input tool to help you answer the following questions. You will not be graded on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. Graph Input Tool Market for Florida Oranges 50 45 Price 20 (Dollars per box) 40 Ouantit Quantity Supplied 80 Demanded (Millions of boxes) Supply 35 (Millions of boxes) & 30 25 l 20 15 I I Demand I I I I 0 80 1 60 240 320 400 480 560 640 720 800 QUANTITY (Millions of boxes) In this market, the equilibrium price is per box, and the equilibrium quantity of oranges is on boxes 200
The equilibrium price is the price at which the quantity demanded equals the quantity supplied.
Looking at the graph, we can see that the demand curve intersects the supply curve at a quantity of approximately 200 million boxes. To find the corresponding equilibrium price, we need to find the price level at this quantity.
From the graph, we can observe that the price axis ranges from $20 to $40. Since the graph is not accurately scaled, we can estimate the equilibrium price to be around $30 per box based on the midpoint of the price range.
Therefore, the equilibrium price in this market is approximately $30 per box.
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Recursively computing sums of cubes, cont.G About (a) Use induction to prove that the algorithm to compute the sum of the cubes of the first n positive integers (shown below) returnsthe correct value for every positive integer input.SumCube(n)Input: A positive integer n.Output: 1^3 + 2^3 + ... + n^3.If (n = 1), Return (1)s := SumCube(n - 1) // The recursive callReturn (n3 + s)
By the principle of mathematical induction, we will show that the algorithm to compute the sum of the cubes of the first n positive integers returns the correct value for every positive integer input.
To prove that the algorithm to compute the sum of the cubes of the first n positive integers returns the correct value for every positive integer input using induction, we will need to show two things:
1. Base case: The algorithm returns the correct value for n = 1.
Base case: When n = 1, the algorithm returns 1^3, which is the correct value for the sum of the cubes of the first positive integer. Therefore, the base case is true.
2. Inductive step: Assume that the algorithm returns the correct value for some positive integer k, and show that it also returns the correct value for k + 1.
Inductive step: Assume that the algorithm returns the correct value for some positive integer k, i.e., SumCube(k) returns 1^3 + 2^3 + ... + k^3.
We need to show that the algorithm also returns the correct value for k + 1, i.e., SumCube(k + 1) returns 1^3 + 2^3 + ... + (k + 1)^3.
Using the recursive definition of the algorithm, we have:
SumCube(k + 1) = (k + 1)^3 + SumCube(k)
By the induction hypothesis, we know that SumCube(k) returns the correct value, so we can substitute it into the above equation to get:
SumCube(k + 1) = (k + 1)^3 + (1^3 + 2^3 + ... + k^3)
Expanding (k + 1)^3, we get:
SumCube(k + 1) = k^3 + 3k^2 + 3k + 1 + (1^3 + 2^3 + ... + k^3)
Simplifying the right-hand side, we get:
SumCube(k + 1) = 1^3 + 2^3 + ... + k^3 + (k^3 + 3k^2 + 3k + 1)
We recognize the last term as (k + 1)^3, so we can substitute it in to get:
SumCube(k + 1) = 1^3 + 2^3 + ... + k^3 + (k + 1)^3
which is the correct value for the sum of the cubes of the first (k + 1) positive integers. Therefore, the inductive step is true.
By the principle of mathematical induction, we have shown that the algorithm to compute the sum of the cubes of the first n positive integers returns the correct value for every positive integer input.
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9. If 8 presses can do a job in 3 hr. 40 min., how long will it take 6 presses to do
the same job if each worker receives $18.60 per hour?
it will take 6 presses approximately 4.89 hours to do the same job, and they will receive a total of $684.41 for their work.
We can start by using the formula:
Work = Rate × Time
where Work is the amount of work to be done (which we can assume is the same in both cases), Rate is the rate of work (in units of work per time), and Time is the time taken to do the work.
Let's first convert the time taken by 8 presses to minutes:
3 hr. 40 min. = 3 × 60 + 40 = 220 minutes
So, we have:
Work = Rate × 220 (for 8 presses)
Now, we want to find the time taken by 6 presses to do the same amount of work. Let's call this time T:
Work = Rate × T (for 6 presses)
We can assume that the rate of work is proportional to the number of presses, so we can write:
Rate for 6 presses = (6/8) × Rate for 8 presses
Substituting this into the two equations above, we get:
Work = (6/8) × Rate for 8 presses × T
Simplifying, we get:
T = (8/6) × 220 = 293.33 minutes
Finally, we can convert this to hours and multiply by the hourly rate to get the total cost:
T = 293.33 ÷ 60 = 4.89 hours
Cost = 6 × 4.89 × $18.60 = $684.41
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Determine whether the description corresponds to an observational study or an experiment Research is conducted to determine if there is a relation between heart arrhythmias and caffeine consumption. Does the description correspond to an observational study or an experiment?
The description corresponds to an observational study, which involves gathering data and information to draw conclusions without intervening in the process. Correct answer: letter D.
An experiment would involve manipulating the variables to see the effect of the manipulation. In this case, it would involve changing the caffeine consumption and observing the effect on heart arrhythmias.
In order to better understand the relationship between heart arrhythmias and caffeine consumption, researchers need to consider a variety of factors, including the amount of caffeine consumed, the timing of consumption, and any potential underlying medical conditions that could be influencing the results.
Furthermore, researchers need to ensure that the study population is large enough and diverse enough to accurately reflect the general population. Additionally, researchers need to consider potential confounding variables, such as lifestyle factors, medications, and other dietary components that could be influencing the results.
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