Answer:
option 4 should be the correct answer
Population equilibria can be stable or unstable. If, when a population deviates a bit from the equilibrium value (as populations inevitably do), it tends to return to it, this is a stable equilibrium; if, however, when the population deviates from the equilibrium it tends to diverge from it ever further, this is an unstable equilibrium. Think of a ball in the pocket of a snooker table versus a ball balanced on a snooker cue. Unstable equilibria are a feature of Allee effect models such as (4). Use a phase portrait of the autonomous equation (4) to determine whether the nonzero equilibria that you found in Problem 2 are stable or unstable.
equation (4)
the logistic equation, is:
(dN/dt)= rN(1- (N/K))((N/A)-1). where A is called the Allee threshold. The value N(t)=A is the population size below which the population growth rate becomes negative due to an Allee effect— situated at a value of N somewhere between N=0 and N=K, that is, 0
The stability of the nonzero equilibria found in Problem 2 can be determined by analyzing the phase portrait of the autonomous equation (4).
If the phase portrait shows that any slight deviation from the equilibrium point results in the population returning to the equilibrium point, then the equilibrium is stable.
On the other hand, if any slight deviation from the equilibrium point causes the population to diverge further from the equilibrium point, then the equilibrium is unstable.
To analyze the phase portrait, we need to first find the Jacobian matrix of the autonomous equation (4) evaluated at the nonzero equilibria. Then, we can determine the eigenvalues of the Jacobian matrix and use them to classify the stability of the equilibria.
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If a chord of a circle is 6 and is twice as far from the center chord of length 12, how long is the radius of the circle?
Answer and explanation:
A center chord in a circle is the diameter of that circle. Therefore a center chord of a circle is different from other chords that touch two points on the circle but not in the center of the circle. A diameter of a circle is the chord that runs the length of the center of the circle touching two points at the edge of the circle. A diameter is twice the radius of the circle. So if the diameter of the circle is 12cm then the radius of the circle is 6cm
a) What type of distribution does this represent?
b) This information could be considered a sample for the entire league. If
number of teams from the league were selected to create a larger sample, what type of sampling would it represent? Explain.
a.) The type of distribution that is represented by the histogram is a left skewed histogram.
b.) The type of sampling this will represent is a simple random sampling.
What is a left skewed histogram?A left skewed histogram can be defined as the type of distribution where by the tails is displayed towards the left of the histogram. This is represented in the histogram given in the diagram above.
A simple random sampling is defined as the type of sampling whereby every member of a population is given an equal chance to be selected. Since the information represented is the sample of an entire league, making another bigger league from it gives them all equal chance to be selected.
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P=2(l+w). Solve the formula for the length l.
Answer:
Step-by-step explanation:
2(l + w) = P
2l + 2w = P
2l = P - 2w
l = (P - 2w)/2
(simple computation) the formula for computing the discriminant of a quadratic equation ax^2 bx c
discriminant = b * 2 - 4 * a * c the formula for computing the discriminant .
What is quadratic equation?
An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc. From these examples, you can note that, some quadratic equations lack the term “c” and “bx.”quadratic equation ax^2 }+ bx+ c = 0
a = 3 b = 4 c = 5 discriminant = b * 2 - 4 * a * c print("discriminant is", discriminant)
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draw like this .
................
Answer:
im sorry what ???
Step-by-step explanation:
i cant draw like that i only have 2 hands :(
Kenneth bought a car for $16,200, but he received $900 cash back. He will make monthly payments at a 4.56% APR, compounded monthly, for 36 months. Kenneth is wondering how much money he saved by receiving the cash back. Help him figure out the answer.
Part I: How much will Kenneth have left to pay after receiving the cash back?
Part II: What is the periodic rate at which Kenneth will be charged interest?
Part III: What will Kenneth's monthly payment be?
Part IV: What would Kenneth's monthly payment have been if he hadn't received the cash back?
Part V: How much money did Kenneth save by receiving the cash back?
Part I:
The amount Kenneth has left to pay after receiving the cash back is:
$16,200 - $900 = $15,300
Part II:
The periodic rate at which Kenneth will be charged interest can be found using the formula:
r = (APR/12)/100
where APR is the annual percentage rate.
r = (4.56/12)/100
r = 0.0038
So the periodic rate is 0.0038 or 0.38%.
Part III:
To find Kenneth's monthly payment, we can use the formula for the present value of an annuity:
PMT = R * (PV * r) / (1 - (1 + r)^-n)
where PMT is the monthly payment, PV is the present value, r is the periodic interest rate, and n is the number of periods.
PV = $15,300
r = 0.0038
n = 36
R is the factor by which the payments change each period, but in this case, the payments are equal, so R is equal to 1.
PMT = 1 * ($15,300 * 0.0038) / (1 - (1 + 0.0038)^-36)
PMT = $451.66 (rounded to the nearest cent)
So Kenneth's monthly payment is $451.66.
Part IV:
If Kenneth hadn't received the cash back, his present value would have been $16,200, so we can use the same formula as before to find his monthly payment:
PV = $16,200
r = 0.0038
n = 36
PMT = 1 * ($16,200 * 0.0038) / (1 - (1 + 0.0038)^-36)
PMT = $478.59 (rounded to the nearest cent)
So Kenneth's monthly payment would have been $478.59.
Part V:
To find out how much money Kenneth saved by receiving the cash back, we can subtract his monthly payment with the cash back from his monthly payment without the cash back:
$478.59 - $451.66 = $26.93 (rounded to the nearest cent)
So Kenneth saved $26.93 per month, or a total of:
$26.93 * 36 = $968.28
Therefore, Kenneth saved $968.28 by receiving the cash back.
What is the ratio for crayons to erasers?
Answer:
8:4 simplified to 4:2 simplified to 2:1
Step-by-step explanation:
I don’t understand my check of solution for the equation ^4√x+12=15 with x=81 and how it becomes 15 if √81 is 9
Bobby is 12 years old. His age is nine
years less than one-third of his
grandfather's age. How old is Bobby's
grandfather?
Answer:
65 because 12 plus 9 is 21 then 3 times 21 is 65
12/18 In simplest form
Answer:
Find the gcf, greatest common factor, of 12 and 18 and solve
Step-by-step explanation:
12: 1, 2, 3, 4, 6, 12
18: 1, 2, 3, 6, 9, 18
The gcf is 6, so divide the numerator and denominator by 6.
12 / 6 = 2
18 / 6 = 3
Therefore, 12/18, when relatively prime, is 2/3
(10-3) Homework K pearson school
Answer:
is that a question I'm confused
help help helllllllllp
Answer:
que?
Step-by-step explanation:
the director of the health information department wanted to determine the level of physicians' satisfaction with the department's services. the director surveyed the physicians who came to the department. what type of sample is this?
The type of sample in which the director surveyed the physicians who came to the department is convenience samples.
Convenience sampling is a non-chance sampling approach wherein gadgets are decided on for inclusion withinside the pattern due to the fact they may be the very best for the researcher to access. This may be because of geographical proximity, availability at a given time, or willingness to take part withinside the research.
Convenience samples are pretty susceptible to investigate bias. Since the researcher attracts the pattern primarily based totally on comfort and now no longer same chance, comfort samples in no way bring about a statistically balanced choice of the population. This results in sampling bias.
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What is meant by percent error?
The error's absolute value is multiplied by its percentage, which is 100%, and then it is divided by the accepted value.%Error=|experimental value|accepted value|accepted value%
What does "percentage mistake" mean? The error's absolute value is multiplied by its percentage, which is 100%, and then it is divided by the accepted value.%Error=[experimental value][accepted value accepted value]100%When compared to the actual value, the percent error is the difference between the estimated and actual values.The relative error is multiplied by 100 to calculate the % error, in other words.For example, a 3-percent error value indicates that the measured number is fairly near to the true value.Alternatively, a 50% margin indicates that your measurement is quite far off from the true value.You should probably alter your measurement tool if the final result has a 50% inaccuracy.To learn more about percent error refer
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i need help pls rn like dang
Answer:
Step-by-step explanation:
I gotchu.
sinP = 5/14
= 0.36
P = sin^-1(5/14)
P = 20.92
Type the correct answer in each box. Use numerals instead of words.
In a survey conducted by a retail store, 58% of the sample respondents said they prefer to shop at places with loyalty cards.
If the margin of error is 3.4%, the expected population proportion that prefers to shop at places with loyalty cards is between
96
and
96
Answer:
1.) 54.6
2.) 61.4
(props to aeh589)
Explanation:
The expected population proportion that prefers to shop at places with loyalty cards is between 54.6% to 61.4% if, in a survey conducted by a retail store, 58% of the sampled respondents said they prefer to shop at places with loyalty cards. If the margin of error is 3.4%
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
\(\rm Z{score}= \frac{s}{\sqrt{n} }\)
Where is the z score at the confidence interval
s is the standard deviation
n is the number of samples.
The percent of sample respondents = 58%
Margin of error = 3.4%
The expected population that prefers to shop at places with loyalty cards is:
= (58±3.4%)
Take minus sign:
= 54.6%
Take plus sign:
= 61.4%
Thus, the expected population proportion that prefers to shop at places with loyalty cards is between 54.6% to 61.4% if, in a survey conducted by a retail store, 58% of the sampled respondents said they prefer to shop at places with loyalty cards. If the margin of error is 3.4%
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Solve for x.
D: 40°
E:7x + 14
K:11x + 6
C: blank
Answer: 2
Step-by-step explanation:
the equation would be 7x+14=11x+6
Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 159 disks are summarized as follows:
Shock Resistance
scratch resistance high low
high 70 9
low 16 5
Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. If a disk is selected at random, determine the following probabilities.
a. P(A)=86/100
b. P(B)=79/100
c. P(A')=7/50
d. P(A U B)=95/100
e. P(A' U B)= ???
The probability of the event A' (not A) or the complement of event A, which represents a disk not having high shock resistance, is 7/50.
To calculate this probability, we need to find the number of disks that do not have high shock resistance. From the given data, we can see that there are a total of 159 disks. Out of these, 70 disks have high shock resistance (event A), so the number of disks without high shock resistance is 159 - 70 = 89.
Therefore, the probability of A' is 89/159, which simplifies to 7/50.
In terms of interpretation, this probability represents the likelihood of randomly selecting a disk that does not have high shock resistance from the given sample of 159 disks. It indicates the proportion of disks that do not meet the criteria for high shock resistance.
It's worth noting that the calculation of P(A' U B) (the probability of either A' or B occurring) was not provided. If you provide the necessary information, I can assist you in calculating that probability as well.
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Find two quadratic functions, one that opens upward and one that opens downward, whose graphs have the given x-intercepts. (-5,0), (5,0) opens upward f(x)=x²+x-5 X opens downward f(x)=x²-x+5
We have found two quadratic functions with x-intercepts (-5,0) and (5,0): f(x) =\(x^2 - 25\), which opens upward, and g(x) = \(-x^2 + 25\), which opens downward.
For the quadratic function that opens upward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:
f(x) = a(x + 5)(x - 5)
where a is a constant that determines the shape of the parabola. If this function opens upward, then a must be positive. Expanding the equation, we get:
f(x) = a(x^2 - 25)
To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open upward, we need the coefficient of x^2 to be positive, so we can set a = 1:
f(x) = x^2 - 25
For the quadratic function that opens downward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:
g(x) = a(x + 5)(x - 5)
where a is a constant that determines the shape of the parabola. If this function opens downward, then a must be negative. Expanding the equation, we get:
g(x) = a(x^2 - 25)
To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open downward, we need the coefficient of x^2 to be negative, so we can set a = -1:
g(x) = -x^2 + 25
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Paisley earned $384.30 at her job when she worked for 21 hours. How much money did she earn each hour?
Answer:
18.3
Step-by-step explanation:
384.3 divided by 21
How do you write 7.1 × 10^2 in standard form?
Hey there!
7.1 × 10^2
= 7.1 × 10 × 10
= 7.1 × 100
= 710
Therefore, your answer is: 710
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
710
Step-by-step explanation:
Use the graphing calculator to determine the interval on which the inequality log2 (0.7x) log3(3x – 1) is true. Round any decimals to the nearest thousandth.
Answer:
[0.373, 16.607]
Answer:
the answer is [0.373, 16.607]
Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop. How much she make in a workweek if she sold $4,800 worth of merchandise?
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.
How to calculate the value?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:
= $365 + (5% × $4800)
= $605
The amount is $605.
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Is it possible for 2 numbers to have a difference of a 8 and a sum of 1
Answer:
Yes, it is possible for two numbers to have a difference of 8 and a sum of 1.
Step-by-step explanation:
Hailey, Priya, and Shetal are auditioning for the same role. Hailey auditions at 10 minutes before four, Priya auditions 30 minutes before Hailey, and Shetal auditions at 5 minutes before four. Order the three by who will audition first.
(pleaseeee show work)
Answer:
Priya, Hailey, Shetal
Step-by-step explanation:
We know Hailey auditioned 10 mins before 4, so thats 3:50
If Priya auditioned 30 mins before Hailey, that means she auditioned at 3:20
Shetal auditioned 5 mins before 4, so thats 3:55
So the order is Priya, Hailey, Shetal
Kelly has 97 apples, Jason has 72. How may proportional relationships are there?
There are 6984 inverse proportional relationships and the direct proportional relationships are 97/72.
Given that:
Kelly has 97 apples, and Jason has 72.
The relationship between two variables, X and Y, is directly proportional if it can be expressed in terms of Y/X = k or Y = Xk.
Y/X = k
Substitute the given X and Y values and solve for k.
Suppose, Y = 97, X = 72
then k = 97/72
Distinguish a proportional relationship from other relations, including an inverse relationship (XY = k or Y = k/X).
An inverse proportional relationship is one in which two quantities vary inversely with respect to each other. We say that the variable Y changes inversely with X if
Y = k/X
Substitute the given X and Y values and solve for k.
Suppose, Y = 97, X = 72
then k = 97 x 72
=> k = 6984
Hence, there are 6984 inverse proportional relationships and direct proportional relationships are 97/72 between Kelly which has 97 apples, and Jason which has 72.
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Figure abcd is a rhombus. find the value of x
Answer:
The answer would be x =10
Step-by-step explanation:
Fill in 10
You welcome
The value of x in the figure ABCD is 10.
What is a rhombus?We know that rhombuses are a particular type of quadrilateral in Euclidean geometry. It is a unique instance of a parallelogram in which the diagonals meet at a 90-degree angle and all sides are equal.
How to solve it?Since the side lengths of a rhombus are equal, so the lengths of AB and DC are equal.
Now, 3x - 11 = x + 9
i.e. 3x - x = 9 + 11
i.e. 2x = 20
i.e. x = 10
Therefore the value of x in the figure ABCD is 10.
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Convert 1/3 to a percent
Answer:
33 1/3%
Step-by-step explanation:
Answer:
33.3%
Step-by-step explanation:
We can also work this out in a simpler way by first converting the fraction 1/3 to a decimal. To do that, we simply divide the numerator by the denominator:
1/3 = 0.33333333333333
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
0.33333333333333 x 100 = 33.3333%
(Hope this helps can I pls have brainlist (crown)☺️)
which of the following is not an advantage of using a sample versus a census? question 3 options: smaller dataset to analyze cost ready access to respondents population size
Out of the given options, the one that is not an advantage of using a sample versus a census is population size. The reason for this is that whether you use a sample or a census, the population size remains the same. However, there are several advantages to using a sample over a census.
Firstly, a sample generates a smaller dataset to analyze, which can save time and resources. Secondly, using a sample can be less expensive than conducting a census, which involves surveying every member of the population. Lastly, using a sample provides ready access to respondents, as it is often easier to reach a smaller group of people than an entire population. However, it is important to note that using a sample also has its limitations, such as the potential for sampling bias and the need to ensure that the sample is representative of the population being studied. Overall, the choice between using a sample or a census depends on the research question, available resources, and the level of accuracy and precision required.
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