Fremont County, population 100,000 recorded 300 births, 250 deaths, 150 immigrants, and 130 emigrants in one year. Based upon this growth rate, calculate the doubling time if this rate were to remain the same over time.

Answer:

Step-by-step explanation:

If I found the mean, the answer would be:

3+ 4+4+4+5+6+7+23= 56

56/ 8 = 7

If I found the average value using the median, the answer would be 4.5.

In this set of data, the anomaly is 23 as it is much higher than the other numbers.

The median is more accurate because it find the more ‘central’ number and is not affected as greatly with anomalies whereas the mean is affected greatly with anomalies as it raises the value significantly.

Therefore, the median is better to work out the average in this set of data.

:)

Answer:

oops its 90%

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

90+10 is 100 and if you think about like a fraction when you split up 100 into ten parts it makes ten of ten. 9/10 is equal to 90%

Answer:

to answer use KCF - Keep Change Flip

2x/3 × 2/3x

4x/9x

4/9 is the answer

After solving, the test statistic value of z is -2.65.

In the given question,

Sample Mean x=264.4

Population standard deviation σ=20

sample size (n) = 25

significance level α=0.05

To test  Jean's claim that Jack's driving distance is less than 275 yards

The null and alternative hypothesis are

H(0): μ=275

H(α): μ<275

Test Statistic Z is:

Z = (x-μ)/(σ/√n)

Z = (264.4-275)/(20/√25)

Z = -10.6/(20/5)

Z = -10.6/4

Z = -2.65

Hence, the test statistic value of z is -2.65.

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The right question is:

Jack tells Jean that his average drive of a golf ball is 275 yards. Jean is skeptical, she thinks he has overstated is driving distance and asks for substantiation. So Jack takes a random sample of 25 of his drives. The mean of this sample is 264.4 yards. His driving distance is known to be normally distributed with a population standard deviation of 20 yards. Test Jean's claim that Jack's driving distance is less than 275 yards at a 0.05 significance level. Calculate the test statistic to 2 decimal places.

Answer:

50.19

Step-by-step explanation:

quick mafs hun <3

Answer:

The answer is 0.6*7=4.2ounces of fish food.

Step-by-step explanation:

If 0.6 ounces of fish food will suffice for Dominic's fish for a month, then for 7 months he would need 7 times the food he requires for 1 month.

7*0.6=4.2 ounces of fish food.

Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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Answer:

im pretty sure A. correct me if im wrong please

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

-1/3(-9) +4 = 7

The value of the angle x is equal to 98°.

Given that the figure attached below.

To find the angle x, follows sum steps as:

Draw one parallel line between the given parallel lines with intersect the point x.

By linear sum,

Angle 1 on below parallel line is 180° - 144° = 36°.

Angle 2 is equal to angle 1, that is, angle 2 is equal to 36°.

Angle 3 on centre parallel line is equal to 62°.

So, the angle x is calculated as:

x = Angel 2 + Angle 3

x = 36° + 62°

x = 98°

Hence, the required angle is equal to 98°.

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Answer:

89.44

Step-by-step explanation:

\(We\:can\:use\:Pythagorean\:theorem\\\\a^2+b^2=c^2\\\\with\\\\a=?\\\\b=80\\\\c=120\\\\\Rrightarrow (?)^2+(80)^2=(120)^2\\\\?^2=(120-80)(120+80)\\\\?^2=(40)(200)\\\\?^2=8000\\\\?=\sqrt{(2^3)(10^3)}\\\\?=20\sqrt{20}\\\\?=40\sqrt{5}\\\\?\approx 89.44\)

\( {(x + 3)}^{2}(x - 2)(x + 4)(x - 4)\)

Step-by-step explanation:

\( {(x + 3)}^{2} (x - 2) \: \: \: (x + 3)( {x}^{2} - 16)\)

The first one can be kept in that form while the second can be factored as

\((x + 3)(x + 4)(x - 4)\)

so we can see that the LCM is

\( {(x + 3)}^{2}(x - 2)(x + 4)(x - 4)\)

a. The Laplace transform of f(t) = cos(ω(t−to))u(t−to) is F(s) = e^(-to*s) * s / (s²+ ω²). b. The Laplace transform of f(t) = 3δ(t) + 3u(t) + sin(5t)u(t) is F(s) = 3 + 3/s + 5/(s²+ 25). c. The inverse Laplace transforms are: For F(s) = s(s²+ 4s + 5)/(s+1), f(t) = t² + 5t + 8δ(t) + 2e^(-t). For G(s) = (s+b)² + ω²/(s+c), g(t) = t² + 2bt + b²δ(t) + ω^2e^(-ct).

a. Given f(t) = cos(ω(t−to))u(t−to), where u(t) is the unit step function, we can find its Laplace transform F(s) as follows:

F(s) = L{f(t)} = ∫[0,∞] cos(ω(t−to))u(t−to)e^(-st) dt

To evaluate this integral, we split it into two parts based on the unit step function:

F(s) = ∫[0,to] cos(ω(t−to))e^(-st) dt + ∫[to,∞] cos(ω(t−to))e^(-st) dt

The first integral evaluates to zero since cos(ω(t−to)) is zero for t < to.

For the second integral, we substitute u = t−to, which gives us dt = du. Also, we substitute t = u+to:

F(s) = ∫[0,∞] cos(ωu)e^(-s(u+to)) du

F(s) = e^(-sto) ∫[0,∞] cos(ωu)e^(-su) du

Using the definition of the Laplace transform of cosine function, we have:

F(s) = e^(-sto) * s / (s² + ω²)

Therefore, the Laplace transform of f(t) is F(s) = e^(-to*s) * s / (s² + ω²).

b. Given f(t) = 3δ(t) + 3u(t) + sin(5t)u(t), where δ(t) is the Dirac delta function and u(t) is the unit step function, we can find its Laplace transform F(s) as follows:

F(s) = L{f(t)} = 3L{δ(t)} + 3L{u(t)} + L{sin(5t)u(t)}

The Laplace transform of δ(t) is 1, and the Laplace transform of u(t) is 1/s.

Using the Laplace transform of sin(ωt), we have:

F(s) = 3(1) + 3(1/s) + L{sin(5t)} * L{u(t)}

F(s) = 3 + 3/s + (5/(s² + 5²))

Simplifying further:

F(s) = 3 + 3/s + 5/(s² + 25)

Therefore, the Laplace transform of f(t) is F(s) = 3 + 3/s + 5/(s² + 25).

c. Given F(s) = s(s² + 4s + 5)/(s+1) and G(s) = (s+b)² + ω²/(s+c), we want to find the inverse Laplace transforms f(t) and g(t) respectively.

Using partial fraction decomposition, we can write F(s) as:

F(s) = s(s² + 4s + 5)/(s+1) = s² + 4s + 5 + (s² + 4s + 5)/(s+1)

To simplify further, we write (s² + 4s + 5)/(s+1) as s + 3 + 2/(s+1):

F(s) = s² + 4s + 5 + s + 3 + 2/(s+1)

F(s) = s²+ 5s + 8 + 2/(s+1)

The inverse Laplace transform of s^2 + 5s + 8 is the function f(t) that we want to find.

By using the linearity property of the inverse Laplace transform, we can take the inverse Laplace transform of each term separately:

L^-1{s²} = t²,

L^-1{5s} = 5t,

L^-1{8} = 8δ(t),

L^-1{2/(s+1)} = 2e^(-t).

Combining these terms, we have:

f(t) = t² + 5t + 8δ(t) + 2e^(-t).

For the function G(s), we can write it as:

G(s) = (s+b)² + ω²/(s+c) = (s² + 2bs + b² + ω²)/(s+c)

Using partial fraction decomposition, we can express it as:

G(s) = (s² + 2bs + b² + ω²)/(s+c) = (s² + 2bs + b²)/(s+c) + ω²/(s+c)

The inverse Laplace transform of (s² + 2bs + b²)/(s+c) is the function g(t) that we want to find.

By using the linearity property of the inverse Laplace transform, we can take the inverse Laplace transform of each term separately:

L^-1{s²} = t²,

L^-1{2bs} = 2bt,

L^-1{b²} = b^2δ(t),

L^-1{ω²/(s+c)} = ω^2e^(-ct).

Combining these terms, we have:

g(t) = t² + 2bt + b²δ(t) + ω^2e^(-ct).

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The term that describes jellyfish skeletons formed by fluid-filled compartments is hydrostatic skeletons.

Hydrostatic skeletons are a type of skeletal system found in certain invertebrates, including jellyfish. These skeletons rely on the pressure of fluid within the body to provide support and maintain the body structure. In jellyfish, the fluid-filled compartments act as a hydrostatic skeleton, resisting compression and preventing the body from collapsing or deforming. This enables jellyfish to maintain their shape and move through the water with flexibility. By adjusting the internal pressure of the fluid-filled compartments, jellyfish can control their buoyancy and movement. Hydrostatic skeletons are advantageous for organisms that live in aquatic environments, allowing for efficient locomotion and adaptation to varying water conditions.

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Answer:

○ f(x) = x² + 3x - 37

Step-by-step explanation:

Based on the given data in the table, we can observe that the function values (f(x)) correspond to different x-values. To determine the polynomial function represented by the data, we need to find the pattern or relationship between the x-values and the corresponding f(x) values.

Looking at the data, we can see that the x-values are increasing by 1 each time, and the corresponding f(x) values seem to be following a pattern. Let's analyze the data:

x | f(x)

--+-----

-8 | -35

-3 | -17

5 | 6

1 | 2

6 | 3

2 | 2

1 | 1

6 | 7

7 | 37

From the given data, it appears that the polynomial function represented by the data is:

f(x) = x² + 3x - 7

None of the provided options exactly matches this polynomial function, but the closest option is:

○ f(x) = x² + 3x - 37

So, the closest function represented by the data is f(x) = x² + 3x - 37.

"0" was the gift tax in 2018.

Gift taxes are paid by either the giver or the recipient?

A gift tax is not present. There is no gift tax because gifts up to $15,000 are tax-free.

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Translating the given words into algebraic expression it becomes  2v(w-u) .

In the question ,

the word phrase is given as" double the difference of w and u, and then multiply the result by v "

for translating into algebraic expression , we proceed step by step

step 1 : difference of w and u

we get , (w - u)

step 2 : double the difference of w and u ,

we get , 2(w-u)

step 3 : then multiply the result by v ,

we get , 2(w-u)*v

= 2v(w-u)

Therefore , translating the given words into algebraic expression , the expression is 2v(w-u) .

The given question is incomplete , the complete question is

Translate the following word phrase into an algebraic expression , "double the difference of w and u, then multiply the result by v "

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Answer:

40

Step-by-step explanation:

30÷3=10

30+10=40

Hope this helps! :)

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

A number's  root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as  or as 3 x 3.

Here,

If an equation have 2 roots , it means it is a quadratic function

If D=0, a quadratic function has two roots that are equal.

D (discriminant) = 0

=>b24ac=0 is required for a polynomial function to have equal roots.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

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Answer:

240 times

Step-by-step explanation:

Shirley Benson earns $611.60 for a week in which she assembles 278 toys.

The correct answer is 611.60.

To answer the student's question, we can use the formula:
Earnings = Rate x Quantity
In this case, Shirley Benson is paid $2.20 for each toy she assembles.

She has assembled 278 toys in a week.

Therefore, her earnings for the week would be:
Earnings = $2.20 x 278
Earnings = $611.60.

The correct answer is 611.60

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The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer:

False 15 times 7= 105

We can write the above expression as

Now we know that

And

Also for the piece

So we shall use

And

To fill the blanks so that this expression will be similar to the above.

under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.

To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.

To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.

Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.

In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.

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Answer:

the answer is d = 56 (12) = 6672 meters

she fall 6672 meters during these 12 seconds

Step-by-step explanation:

because it has decimal values, the number is irrational

Answer:

C. 5 over negative 9

Step-by-step explanation:

They both equal -0.6