How many F tests does a 3x2 factorial ANOVA have?

The linear function predicts that there would be 92857146 female cane toads in 2000 while the exponential function predicts that there would be 34898137 female cane toads in 2000.

From the question, we have the following points

(t, f(t)) = (0,50) and (70, 100000000)

The linear function is then calculated as:

f(t) = [f(t2) - f(t1)]/[t2 - t1](t - t1) + f(t1)

This gives

f(t) = [100000000 - 50]/[70 - 0](t - 0) + 50

Evaluate

f(t) = 1428570.71t + 50

Hence, the linear function is f(t) = 1428570.71t + 50

The exponential function is given as:

f(t) = 50(1.23)^t

So, the parameters are:

The exponential function is calculated as:

f(t) = 1428570.71t + 50

So, the parameters are:

When the population of an entity is being model, it is best to use the exponential model, because the populations would grow exponentially for some time, and then stop growing at some point

Hence, the more appropriate model is the exponential model.

The year 2000 is 65 years from 1935.

So, we have:

t = 65

For the exponential model, we have:

f(t) = 50(1.23)^t

The equation becomes

f(65) = 50(1.23)^65

Evaluate

f(65) = 34898137

For the linear function, we have:

f(t) = 1428570.71t + 50

The equation becomes

f(65) = 1428570.71 * 65 + 50

Evaluate

f(65) = 92857146

This means that. there would be 34898137 female cane toads in 2000 according to the exponential function.

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The concept of Ratios and shares.

let there be a common multiple 'x' for this ration, hence

5x + 7x + 3x = total money

here, 3x = $ 237

hence, x = $237/3 ==> $79

x = $ 79

hence now the total money that was shared =>

==> 5(79) + 7(79) + 3(79)

==> 395 + 553 + 237

==> $ 1185

The total money shared was $ 1185

No, you would be obtaining a convenience sample and not a random sample.(A)

By walking around your school campus and asking people you met how many keys they were carrying, you would be obtaining a convenience sample. A convenience sample is a type of non-random sampling method where the participants are chosen based on their availability and accessibility.

This method is not truly random, as it relies on your chance encounters with people and does not give every individual within the population an equal chance of being included in the sample.

A random sample, on the other hand, would involve selecting participants in a way that ensures each person has an equal opportunity to be chosen, which can reduce potential biases and increase the representativeness of the sample.(A)

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complete question:

If you walked around your school campus and asked people you met how many keys they were carrying, would you be obtaining a random sample? Chose the correct answer below.

A. No, you would be obtaining a convenience sample and a random sample.

B. Yes, you would be obtaining a random sample.

C. As long as you surveyed at least 100 people you would be obtaining a simple random sample.

D. No, you would be obtaining a biased sample.

A pair of integers (x, y) that satisfies the equation 61x + 41y = gcd(61, 41) is x = -2 and y = 3.

To find a pair of integers (x, y) that satisfies the equation 61x + 41y = gcd(61, 41), we can use the Extended Euclidean Algorithm.

This algorithm allows us to find the greatest common divisor (gcd) of two numbers (61 and 41 in this case) and express it as a linear combination of the two numbers.

Using the Extended Euclidean Algorithm, we can calculate the gcd(61, 41) as 1.

Along with the calculations, we keep track of the coefficients of 61 and 41, which will give us the values of x and y in the equation.

Starting with the initial values of 61 and 41, we perform the Euclidean Algorithm:

61 = 41 * 1 + 20

41 = 20 * 2 + 1

Working backwards, we substitute the remainders in terms of the previous values:

1 = 41 - 20 * 2

1 = 41 - (61 - 41 * 1) * 2

1 = 41 * 3 - 61 * 2

Comparing this equation to the original equation 61x + 41y = gcd(61, 41), we can see that x = -2 and y = 3.

Therefore, a pair of integers (x, y) that satisfies the equation 61x + 41y = gcd(61, 41) is x = -2 and y = 3.

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Answer:

p = \(\frac{1}{4}\)

Step-by-step explanation:

To make a perfect square

add ( half the coefficient of the x- term )² to x² - x, that is

x² + 2(- \(\frac{1}{2}\) )x + \(\frac{1}{4}\) with p = \(\frac{1}{4}\) , thus

x² - x = (x - \(\frac{1}{2}\) )² + \(\frac{1}4}\)

Answer:

x^2 - x + 1/4

Step-by-step explanation:

To complete the square

x^2 - x + P

Take the coefficient of x

-1

Divide by 2

-1/2

Then square it

(-1/2)^2

1/4

Add this to complete the square

x^2 - x + 1/4

Answer:

4 and (q − 18 + p)

Step-by-step explanation:

Given:

4(q−18+p)

The factors are

4 and (q − 18 + p)

A factor refers to something which is multiplied by something else. It could be a number, variable, term, or a longer expression.

For example. The factors of the expression 6x(y +2)

are 6, x and (y+2)

Answer:

8 + -1 here you go hope this helps

Answer:

The area of the shaded part of the rectangle is 28 m².

Step-by-step explanation:

The area of the shaded part of the rectangle can be calculated by subtracting the areas of the two unshaded triangles from the area of the rectangle.

The area of a rectangle is the product of its width and length.

From inspection of the given diagram, the width of the rectangle is 4 m and the length is 14 m. Therefore, the area of the rectangle is:

\(\begin{aligned}\textsf{Area of the rectangle}&=4\cdot 14\\&=56\; \sf m^2\end{aligned}\)

The area of a triangle is half the product of its base and height.

The bases of the two unshaded triangles are congruent (denoted by the double tick marks) and are 7 m.

The height of both triangles is the height of the rectangle, 4 m.

Therefore, the two triangles have the same area.

\(\begin{aligned}\textsf{Area of 2 unshaded triangles}&=2 \cdot \dfrac{1}{2} \cdot 7 \cdot 4\\&=1 \cdot 7 \cdot 4\\&=7 \cdot 4\\&=28\; \sf m^2\end{aligned}\)

To calculate the area of the shaded part of the rectangle, subtract the area of the 2 unshaded triangles from the area of the rectangle:

\(\begin{aligned}\textsf{Area of the shaded part}&=\sf Area_{rectangle}-Area_{triangles}\\&=56-28\\&=28\; \sf m^2\end{aligned}\)

Therefore, the area of the shaded part of the rectangle is 28 m².

The volume of the mountain, approximately in cubic kilometers, is 438 cubic kilometers.

To approximate the volume of the mountain in cubic kilometers, we can use the formula for the volume of a cone, which is V = (1/3)πr^2h,

where V is the volume, r is the base radius, and h is the height.

Substituting the given values, we get V = (1/3)π(6 km)^2(4.3 km) ≈ 438 cubic kilometers.

Therefore, the volume of the mountain is approximately 438 cubic kilometers.

It is important to note that this is an approximation and assumes that the mountain is a perfect cone. In reality, mountains have irregular shapes, and their volumes may vary depending on factors such as erosion and weathering.

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Answer:

(x+5)^2

Step-by-step explanation:

you have to FOIL

so (x+5)(x+5) = x^2+10x+25

Answer:The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Add 10 10 to both sides of the equation. Using the slope-intercept form, the y-intercept is 10 .

Step-by-step explanation:

Answer:

0.940

Step-by-step explanation:

100 = 36 x pi x r^2

now divide both sides by 36pi

r^2 = 0.88419412...

then square root both sides

r = 0.94031597...

Answer:

The probability of the frog landing on a complement of yellow lily is 0.57

Step-by-step explanation:

PLANTS Of the water lilies in the pond, 43% are yellow. The others are white.

It is given that 43% of plants are lilies it means the probability of a frog randomly jumping onto a lily is:

the probability of the frog landing on a complement of yellow lily is 0.57

The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.

The binomial probability formula is

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = \(\frac{n!}{(n-x)!x!} p^xq^{(n-x)}\)

Where n is the number of trials, p i is the probability of success, and q is the probability of failure.

And q = 1 - p

It is given that, a card is selected from a standard deck and replaced.

This experiment has repeated a total of five times. i.e., trials n = 5

So, the probability of success is p = 1/4 = 0.25

(Since one card is to be selected from the five trials where each time the card is replaced)

Then, the probability of failure is q = 1 - 0.25 = 0.75

And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.

Then, using the binomial probability formula, we get

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878

On rounding off, we get the required probability as 0.088.

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Answer:

\(\frac{8}{125}\)

Step-by-step explanation:

\((\frac{2}{5})^3\)

Problems like this have exponents and bases. The base is the bigger number of the two - in this case, it's the number inside the parentheses: \(\frac{2}{5}\). The exponent is the smaller number attached to the right of the bigger number - in this case, it's 3. To evaluate, multiply the base by itself however many times the exponent says to. So, this questions wants us to multiply \(\frac{2}{5}\) by itself three times.

Knowing this, we can simplify the problem to \(\frac{2}{5}\) times itself three times and multiply fractions like how you normally would:

\((\frac{2}{5} )^3\)

= \((\frac{2}{5}) (\frac{2}{5}) (\frac{2}{5})\)

= \(\frac{8}{125}\)

Therefore, \(\frac{8}{125}\) is the answer.

Answer:

i dont know it looks complicated

Step-by-step explanation:

copy paste then search it, you might find it.

The time taken by Peter to arrange the chairs all by himself is 10/3 minutes.

Given that :-

Katrina can arrange the chairs in the classroom in 5 minutes.

One day peter helped her and took both of them 2 minutes to arrange the chairs.

We have to find the time taken by Peter to arrange the chairs all by himself.

LCM (5,2) = 10

Let the total work of arranging the chairs is of 10 units.

We know that,

Efficiency of a person = Total Work/Time taken by person

Hence,

Efficiency of Katrina = 10/5 = 2 units

Efficiency of Katrina + Efficiency of Peter = 10/2 = 5 units

Hence,

Efficiency of Peter = 5 - 2 = 3 units

Hence, time taken by Peter to arrange the chairs all by himself  = 10/3 minutes.

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Answer:

1)  regular price ⇒ $X

Sale price:75,24

Regular price: 100, X

2) The Ratio of the numbers in the first column equals the to ratio

of numbers in the second one

so.. \(\frac{75}{124}=\frac{100}{x} \\\)

X=100 ×24/75

X=$32

Regular price-sale price=32-24=$8

hope it helps...

The equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

To translate the function (j(x) = |x| right 8 units and up 6 units, we need to modify the expression inside the absolute value function.

The translation right 8 units means we need to replace x with (x - 8).

The translation up 6 units means we need to add 6 to the entire expression.

So the equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

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Answer:

35,000,000 km

Step-by-step explanation:

1.4 x 10^9 = 1,400,000,000

2.5% = 0.025

1,400,000,000 x 0.025 = 35,000,000

The set of equations that corresponds to the specified function are

y = 5 - x and 5 - x = 9x².

What is linear equation in two variables?

If an equation is expressed as ax + by + c=0, where a, b, and c are all real integers and a and b, the coefficients of x and y, respectively, are not equal to zero, then it is said to be a linear equation in two variables.

The given equation is :

\(y=9x^{2}\) equation 1.

\(x+y=5\) equation 2.

From equation 2.

\(x+y=5\\y=5-x\)

substituting into 1 equation.

\(5-x=9x^{2}\)

The system of equations that is equivalent to the provided function is shown by the resulting equation, which is y = 5 - x and \(5-x=9x^{2}\)

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The probability that a seat will be available for every person who shows up holding a reservation is approximately 0.0141 or 1.41% (rounded to four decimal places).

To use the normal approximation to the binomial distribution, we first need to check if the conditions for the approximation are met.

The conditions are:
1. The sample size is large enough (np ≥ 10 and nq ≥ 10)
2. The probability of success (getting a seat) is constant for each trial (person)
3. The trials are independent of each other

Assuming these conditions are met, we can use the normal distribution to approximate the binomial distribution.

Let p = probability of getting a seat = 0.95 (since each person holding a reservation has a 95% chance of getting a seat)
Let n = number of people with reservations who show up = 100 (this is not explicitly given, but we need to assume a value to solve the problem)

Calculate the mean (µ) and standard deviation (σ) of the binomial distribution using the formulas:
  µ = n * p
  σ = sqrt(n * p * (1-p))

The mean of the binomial distribution is μ = np = 100 * 0.95 = 95
The standard deviation of the binomial distribution is σ = sqrt(npq) = sqrt(100 * 0.95 * 0.05) = 2.179

Using the normal approximation, we can find the probability that all 100 people get a seat:
Calculate the z-score using the formula:
  z = (x - µ) / σ

P(X = 100) ≈ P(X > 99.5)
where X is the number of people who get a seat

We use X > 99.5 instead of X = 100 because the normal distribution is continuous while the binomial distribution is discrete.

Using the standard normal distribution table or calculator, we find that the probability of Z > 2.179 (where Z is the standard normal random variable) is 0.0141.

Therefore, the probability that a seat will be available for every person who shows up holding a reservation is approximately 0.0141 or 1.41% (rounded to four decimal places).

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Step-by-step explanation:

x = eggs of Ayyub

y = eggs of Bran

z = eggs of Curtis

x + y + z = 48

y = x + 1

z = 1.5y = 1.5(x + 1)

now we are using the second and third equation in the first :

x + (x + 1) + 1.5(x + 1) = 48

x + x + 1 + 1.5x + 1.5 = 48

3.5x + 2.5 = 48

3.5x = 45.5

x = 45.5/3.5 = 13

y = x + 1 = 13 + 1 = 14

z = 1.5(x + 1) = 1.5(13 + 1) = 1.5×14 = 21

for all three friends to have the same number of eggs, we need to split 48 into 3 equal parts : a division.

48/3 = 16

so, everybody should end up with 16 eggs.

therefore Curtis gives away 21-16 = 5 eggs in total (3 to Ayyub, 2 to Bran).

The length of BP is 14.4 meters.

To find the length of BP, we can use the property that states that when two chords intersect inside a circle, the product of the segment lengths on one chord is equal to the product of the segment lengths on the other chord.

Using this property, we can set up the equation:

AP * PC = BP * DP

Substituting the given values:

12 m * 6 m = BP * 5 m

Simplifying:

72 m^2 = BP * 5 m

To solve for BP, divide both sides of the equation by 5 m:

72 m^2 / 5 m = BP

Simplifying:

14.4 m = BP

Therefore, the length of BP is 14.4 meters.

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Answer:

D. 6.28

Step-by-step explanation:

C= 2(3.14) R

R= D/2

2/2-1

R=1

C=2(3.14)1 (DON'T REALLY NEED THE !)

6.28

Answer:

I hope this helps you

Step-by-step explanation:

Exposure to CO2 can produce a variety of health effects. These may include headaches, dizziness, restlessness, a tingling or pins or needles feeling, difficulty breathing, sweating, tiredness, increased heart rate, elevated blood pressure, coma, asphyxia, and convulsions.

(a) The probability distribution of the number of machines not running, and the mean of this distribution is 0.899.

(b)The expected fraction of time that the repair technician will be busy is 88.9% of the time.  

(a) Let X be the number of machines not running. At that point, X can take on values 0, 1, 2, 3, or 4. We will discover the likelihood conveyance of X as takes after:

P(X = 0) = P(all machines are running) = \(e^(-84)^4\)/4! = 0.302

P(X = 1) = P(one machine isn't running) = (4)(\(e^(-84)^3\)/3!) = 0.393

P(X = 2) = P(two machines are not running) = (6)(\(e^(-84)^2\)/2!) = 0.236

P(X = 3) = P(three machines are not running) = (4)(\(e^(-84)^1\)/1!) = 0.067

P(X = 4) = P(all machines are not running) = \(e^(-8*4)^0\)/0! = 0.002

The cruel(mean)  of this dispersion is E(X) = (0)(0.302) + (1)(0.393) + (2)(0.236) + (3)(0.067) + (4)(0.002) = 0.899.

(b) Let Y be the division of time that the repair specialist is active. At that point, Y can be communicated as

Y = T/(T + R),

where T is the full time that machines are not running

and R is the entire time that went through on repairs.

We know that

T has an Erlang dispersion with parameters

n = 4 and λ = 1/8 (since the running time of each machine has exponential dissemination with cruel 8 hours).

Subsequently, the anticipated esteem of T is E(T) = n/λ = 32 hours.

Additionally, R has an exponential dispersion with cruel 4 hours,

so E(R) = 4 hours. In this way, we have:

E(Y) = E(T/(T + R))

= E(T)/E(T + R)

= 32/(32 + 4)

= 0.889.

In this manner, ready to anticipate the repair professional to be active around 88.9% of the time. 

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The number of children are there in the given scenario are 400.

Given that, the ratio of children to adults on a school trip is initially 10:1.

Here, the given ratio can be written as 10x:1x

5 more children and 5 more adults join the trip so that the ratio is now 9:1

10x+5:1x+5

The new ratio is (10x+5)/(x+5) = 9/1

10x+5=9(x+5)

10x+5=9x+45

10x-9x=45-5

x=40

So, the number of children =10x=400

Therefore, the number of children are there in the given scenario are 400.

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The factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.

A function in which there is only positive exponents to the variables are called polynomial function.

The missing image is attached with the answer.

It is given in the question

on a coordinate plane, a parabola opens up. it goes through (0, 3), has a vertex at (3.5, 3), and goes through (6, 0)

The zeroes of the polynomial function are the points at which the curve will cut x axis

For the given graph,

the curve cuts the x-axis at x = 1 and x = 6

the  factors will be x - 1 and x - 6

Therefore, a factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.

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Answer:

B

Step-by-step explanation:

B