You have been studying the CSUS squirrel population for years. In 2019, a tail-infecting parasite killed off half of the population. You quantified the strength (S) of such a natural selection event, and found S = 0.40 SD. You then calculated the response to selection (R) in order to predict the tail length of the next generation. Let’s assume the heritability of tail length is 0.5. What is the response to selection (in units of SD) you would expect in the next generation?

The margin of error provides a measure of the precision of the estimate, but it does not guarantee that the true value falls within the estimated range.

Estimating an unknown parameter, the margin of error indicates the range within which the true value of the parameter is likely to fall.

It provides a measure of uncertainty or variability associated with the estimate.

The margin of error is typically calculated based on statistical techniques and represents the maximum expected difference between the estimated value and the true value of the parameter.

It is often expressed as a range or interval around the point estimate.

A larger margin of error indicates greater uncertainty and a wider range of possible values for the parameter.

In contrast, a smaller margin of error indicates greater precision and a narrower range of possible values.

The margin of error is influenced by various factors such as sample size, variability of the data, and the chosen level of confidence.

Increasing the sample size generally reduces the margin of error, while greater variability or lower confidence level tends to increase it.

It represents the level of confidence associated with the estimate and helps quantify the potential uncertainty in the estimation process.

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Answer:

D

Step-by-step explanation:

Mathematical proofs are used to determine if a mathematical statement is true or not.

See below for the proof of: \(\mathbf{PQ + RS + TU = QR + ST + UP}\)

From the question (see attachment), we understand that: the three circles are congruent

This means that:

Using the above highlights, we can conclude that:

Add ST to both sides of \(\mathbf{UP = TU}\)

\(\mathbf{ST + UP = ST + TU}\)

By substitution property of equality; substitute \(\mathbf{ST =PQ}\)

\(\mathbf{ST + UP = PQ + TU}\)

Add QR to both sides of \(\mathbf{ST + UP = PQ + TU}\)

\(\mathbf{QR + ST + UP = QR + PQ + TU}\)

By substitution property of equality; substitute \(\mathbf{QR = RS}\)

\(\mathbf{QR + ST + UP = RS + PQ + TU}\)

Rewrite as:

\(\mathbf{QR + ST + UP =PQ + RS + TU}\)

Hence, the sums of the lengths of three pairs of not immediately adjacent sides of this hexagon have been proved to be equal

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Answer:

The answer to the question provided is \(2 \frac{1}{2} \).

Answer:

sjsjwhwyegehbddwhshshshhshehsh

The critical value determines the boundary for rejecting or not rejecting the null hypothesis in a hypothesis test.

The purpose of the critical value is to divide the region into rejection and non-rejection regions. It helps determine the boundaries for rejecting or not rejecting the null hypothesis in a hypothesis test.

The critical value is based on the chosen level of significance and the distribution of the test statistic, such as the t-distribution or the standard normal distribution.

By comparing the test statistic to the critical value, we can make decisions regarding the acceptance or rejection of the null hypothesis.

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The probability that at least one bulb out of 12 will stop working during holiday season making all of lights go out on string is given by 0.2153.

Number of bulbs working throughout the holiday season = 12

Chance of each bulb working throughout the holiday season = 98%

Let A be the event that at least one bulb stops working during the holiday season, .

Making all of the lights go out, and let B be the event that all bulbs work throughout the holiday season.

Find P(A), the probability of event A.

Use the complement rule to find P(A),

P(A) = 1 - P(B)

To find P(B), we need to calculate the probability that each of the twelve bulbs works throughout the holiday season,

0.98¹² = 0.7847

So, the probability that all bulbs work throughout the holiday season is 0.7847.

This implies,

P(A) = 1 - P(B)

       = 1 - 0.7847

       = 0.2153

Therefore, probability that at least one bulb will stop working during  holiday season, making all of the lights go out on the string is 0.2153.

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Considering the definition of a line, the equation of the line that passes through the point (5, -5) and has a slope of -1/5 is y= -1/5x -4.

A linear equation o line can be expressed in the form y = mx + b

where

In this case, you know that:

Substituting the value of the slope m and the value of the point in the expression of a line, the value of the ordinate to the origin b can be obtained as follow:

-5= -1/5×5 + b

-5= -1 + b

-5 +1= b

-4= b

Finally, the equation of the line is y= -1/5x -4.

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Answer: Range = 22 IQR = 13

Step-by-step explanation:

To find the range of a data set, subtract the largest value of the data set from the smallest value. 45 is the largest value and 23 is the smallest, and 45-23 is 22, so the range is 22. To find the IQR, you must subtract the upper quartile and the lower quartile. We can find this after finding the mean by re-arranging all the values in order from lowest to greatest, and finding the middle value. Once we do so, we get 33.5. Then, we find the median of all the numbers below and after the median to get the lower and upper quartiles. Then, we subtract them to get the IQR 13.

The solution is, 52 ft is the perimeter of the base of the pyramid.

Here, we have,

Given that:

We have an pyramid with square base.

Area of base of the square pyramid = 169

To find:

Perimeter of the base of pyramid = ?

Solution:

First of all, let us have a look at the formula of area of a square shape.

Area = side * side

Let the side be equal to  ft.

Putting the given values in the formula:

169 = a^2

so, a = 13 ft

Now, let us have a look at the formula for perimeter of square.

Perimeter of a square shape = 4  Side

Perimeter = 4 * 13 = 52ft

The solution is, 52 ft is the perimeter of the base of the pyramid.

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complete question:

A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?

It is feasible to close Hargett St. between Blount Street and Person Street for a day.

Given the traffic flow model described, it is feasible to close Hargett St. between Blount Street and Person Street for a day. The model states that the average daily traffic flow on Hargett St. is 8,000 vehicles per day, with 3,000 vehicles per hour during peak hours. By closing Hargett St. between Blount Street and Person Street for a day, the average daily traffic flow would be reduced by 8,000 vehicles per day. Thus, the total number of vehicles that would be diverted from Hargett St. on the day of the event would be 8,000 vehicles. This amount of traffic would not be too overwhelming for the surrounding streets to handle, since the model states that the average daily traffic flow for those streets is approximately 4,000 vehicles per day.

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Answer:

12

Step-by-step explanation:

Direct Variation. I think it's gonna be like this.

SInce Z is not inversely to y , its varies directly to both.

Then it's,

Z=kxy, where k is constant.

subst. Z=6,x=2 and y=6.

6=k×2×6

6=k×12=12k

6=12k=½

the formula connecting them is

Z=½xy

Z=½×3×8

Z= 1×3×8÷2

Z=24÷2

Z=12.

That's my solution.

Answer:

Step-by-step explanation:

that would be 5 miles bc 3+2 is 5

The distance between Mary's and Roger's houses is approximately 3.6 miles.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

We can use the Pythagorean theorem to find the distance between Mary's and Roger's houses since they form a right triangle with the school at the vertex:

Let A be the school (0, 0), B be Mary's house (0, 2), and C be Roger's house (-3, 0).

Then the length of AB is 2 miles and the length of AC is 3 miles.

The distance between Mary's and Roger's houses is the length of the hypotenuse BC.

Using the Pythagorean theorem, we have\(BC^2 = AB^2 + AC^2 = 2^2 + 3^2 = 13.\)

Taking the square root of both sides, we get\(BC = \sqrt{(13)} = 3.6\) miles.

Therefore, Between Mary and Roger's homes, there are roughly 3.6 miles.

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Answer:

Step-by-step explanation:

So if you count the length, and width then times them then you will get the right answer.

Answer:

Step-by-step explanation: i think you multiply 1/2 4 times and then the other 4 by 3 and then the answer from the 1/2 by 4 to get the answer

Hope this helps

The equation of the tangent line to the curve y = f(x) at the point p = (a, f(a)) can be determined using the point-slope form, which is y - f(a) = f'(a)(x - a).

The equation of the tangent line to a curve at a specific point can be found using calculus. The point-slope form of a line is y - y₁ = m(x - x₁), where (x₁, y₁) represents the coordinates of a point on the line and m is the slope of the line.

In this case, the point on the tangent line is p = (a, f(a)), where f(a) represents the y-coordinate of the point on the curve. The slope of the tangent line at point p is given by f(a), which represents the derivative of the function f(x) evaluated at x = a.

Therefore, the equation of the tangent line becomes y - f(a) = f'(a)(x - a). This equation describes the line that touches the curve y = f(x) at point p = (a, f(a)) and has the same slope as the curve at that point.

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Answer:

f(x)=x²-2x-2

Step-by-step explanation:

f(x)=ax²+bx+c

f(0)=-2 => c= -2

f(1)= -3=> a+b-2=-3; a+b=-1

f(2)= -2; 4a+2b-2=-2; 4a+2b=0; 2a+b=0

a+b=-1 and 2a+b=0

2a+b-(a+b)=0+1=> a=1

2+b=0=> b=-2

f(x)=x²-2x-2

Answer:

Factors of 24: 1, 2, 3, 4, 6, 8, 12 and 24.

Step-by-step explanation:

Answer:

calculator?

Step-by-step explanation:

calculator?

Answer:

y=\(\frac{-3}{5}x-6\)

Step-by-step explanation:

Hi there!

We are given the point (-5, -3), and a slope of -3/5

We want to write the equation of the line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope, and b is the y intercept

As we are already given the slope, we can immediately plug it into the equation

y=\(\frac{-3}{5}x\)+b

We need to find b, though

We can use (-5, -3) to help us, as the equation will pass through that line

Substitute the value of x as -5 and the value of y as -3 to solve for b

-3=\(\frac{-3}{5}*-5+b\)

Now, on the right, multiply -3/5 and 5 together

-3=3+b

Subtract 3 from both sides

-6=b

Substitute 6 as b in the equation

y=\(\frac{-3}{5}x\)-6

Hope this helps!

The expression x + 80 represents the number of coins Arthur has now, since he x pennies and an additional 6 dimes and 4 nickels.

We shall convert the pennies, dimes and nickels into same unit before adding to get the expression for the number of coins Arthur will have in total.

A penny = 1 cent, so

x pennies = x cents

A dime = 10 cents so;

6 dimes = 6 × 10cents

6 dimes = 60 cents

A nickel = 5 cents so;

4 nickels = 4 × 5 cents

4 nickels = 20 cents

Arthur's coins in total = (x + 60 + 40) cents

Arthur's coins in total = (x + 80) cents.

Therefore, the expression expression x + 80 represents the number of coins Arthur will have in total, wether in pennies, dimes or nickels.

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Answer:

do the answer is 532 ft.

u should be careful not to count the area of the ceiling and the floor of the room!

Answer:

-------------------------

Perimeter of the room:

Area of the four walls:

The X value corresponding to z = -2.25 is X = 56.

A z score is a statistical indicator that shows how far a raw score is from a distribution's mean. Give the z-score formula. The z-score is calculated using the formula z = (x -μ)/σ.

To find the corresponding X value for a given z-score, we use the formula:

X = µ + (z * σ)

Given µ = 65, σ = 4, and z = -2.25, we can calculate the X value:

X = 65 + (-2.25 * 4)

X = 65 - 9

X = 56

Therefore, the X value corresponding to z = -2.25 is X = 56.

The correct answer is b. X = 56.

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Answer:

A defensive way is use all your might to jump when the ball is coming at you, because as you might know is it takes a lot of effert to jump in a pool, the gravity is very strong in the pool! Or if you get the ball you can throw and swing your arm as strong as you can a HIT that ball! You wanna hit it hard so the players on the other side of the pool don’t get the ball,instead it will go over them and you WIN!

Step-by-step explanation:

Hope this helped :)✨

Answer:

The answer is -2

Step-by-step explanation:

-6÷3=-2

-2=-6

Answer:

19.47

Step-by-step explanation:

if the radius Is 1 and height is 5.1

The fundamental theorem of arithmetic states that every natural number greater than 1 can be written as a product of primes. Using strong induction, we can prove this.

Let's proceed with the strong induction proof. We start by considering the base case, where m = 2. Since 2 is prime, it can be written as a product of primes itself.

Next, we assume that for all natural numbers k such that 2 ≤ k ≤ m, the statement holds true, i.e., k can be expressed as a product of primes. Now, we aim to prove that m+1 can also be expressed as a product of primes.

We know that m+1 is either prime itself or composite. If m+1 is prime, then it can be written as a product of a single prime, satisfying the theorem.

On the other hand, if m+1 is composite, it can be written as a product of two positive integers a and b, where 2 ≤ a ≤ b ≤ m. Since a and b are both less than or equal to m, we can apply the inductive hypothesis to express a and b as products of primes. Therefore, we can write m+1 as a product of primes by combining the prime factorizations of a and b.

By strong induction, we have shown that for any natural number m greater than 1, it can be expressed as a product of primes. This completes the proof of the fundamental theorem of arithmetic.

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The response of the system to a unit impulse input is given by \(.\)y(t) = -1 + 3e^(-3t) - 3e^(-t) + 2t e^(-t).

Given transfer function is:

G(s) = Y(s) / V(s) = S+6 / s(s + 3)(s + 1)²

a. Zeros and poles of sys.

Zeros are the values of s where the transfer function G(s) is zero. The zeros of the given system can be obtained by equating the numerator to zero,

so

S + 6 = 0

S = -6

Zeros of the system are -6.

Poles are the values of s where the transfer function G(s) is undefined.

The poles of the given system can be obtained by equating the denominator to zero, so

s(s + 3)(s + 1)² = 0

s = 0, -3, -1

Poles of the system are 0, -3, -1.

b. Find partial fraction expansion.

The given transfer function can be expressed in partial fractions as:

S+6 / s(s + 3)(s + 1)²

= A/s + B/(s + 3) + C/(s + 1) + D/(s + 1)²

Where A, B, C, and D are constants.To solve for these constants, we have to multiply both sides by the common denominator of the fractions and equate the coefficients of the terms with the same degree.

On doing so, we get:

S + 6 = A(s + 3)(s + 1)² + B s(s + 1)² + C s(s + 1)² + D s(s + 3)

On substituting s = -3, we get

B = 3

On substituting s = -1, we get

C - D = -5

On substituting s = 0, we get

A = -1

Simplifying the above equation, we get

C = -3 and D = 2

Substituting these values of A, B, C, and D in the partial fraction expansion, we get:

S+6 / s(s + 3)(s + 1)²

= -1/s + 3/(s + 3) - 3/(s + 1) + 2/(s + 1)²

c. Find the response of sys if the input is a unit impulse.

The Laplace transform of a unit impulse is 1.

Hence the response of the system to a unit impulse input can be obtained by evaluating the inverse Laplace transform of the transfer function G(s) multiplied by the Laplace transform of the input, which is 1.

G(s) = -1/s + 3/(s + 3) - 3/(s + 1) + 2/(s + 1)²

The inverse Laplace transform of the above transfer function is

y(t) = -1 + 3e^(-3t) - 3e^(-t) + 2t e^(-t).

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Answer:

The answer to the question provided is possibly 2.

Step-by-step explanation:

\( \: \: \: \: \: \: \: \: \: \: \: \: 3y + 77 = 2y + 79 \\ \frac{ - 2y \: \: \: \: \: \: = - 2y}{1y + 77 = 79} \\ \frac{ \: \: \: \: \: \: \: \: - 77 = - 77}{ \frac{1y}{1} = \frac{2}{1} } \\ \\ y = 2\)

Answer:

no because you can put 2 into 5/2 2 times so it would be 2 and 1/2 and 9 is bigger then that