next, we're going to see if we can predict the kinesthetic vark scores of biology students based on their visual vark scores - we're going to use the kinesthetic vark scores as the response variable, and the visual vark scores as the predictor variable. calculate the slope coefficient of the best fit line:

Write your answer below:

Answer:

missing exponent= 7

Step-by-step explanation:

i hope this helps :)

Answer:

-8.

Step-by-step explanation:

There’s a minus near the 8, we change it to -8.

y=-8. Hope this helps.

Answer:

72/100

Step-by-step explanation:

Answer:

Step-by-step explanation:

The transfer function H(s) = (62,893)/(s + 62,893) can be transformed to a digital filter representation H(z) using the bilinear transform.

The bilinear transformation is a common method used for converting analog filters to digital filters. It maps the entire left-half of the s-plane (analog) onto the unit circle in the z-plane (digital). The transformation equation is given by:

s =\((2/T) * ((1 - z^(-1)) / (1 + z^(-1)))\)

where s is the Laplace variable, T is the sampling period, and z is the Z-transform variable.

To convert the given analog LPF transfer function H(s) = (62,893)/(s + 62,893) to a digital filter representation, we substitute s with the bilinear transformation equation and solve for H(z):

H(z) = H(s) |s = \((2/T) * ((1 - z^(-1)) / (1 + z^(-1)))\)

= \((62,893) / (((2/T) * ((1 - z^(-1)) / (1 + z^(-1)))) + 62,893)\)

Simplifying the equation further yields the digital filter transfer function H(z):

H(z) = \((62,893 * (1 - z^(-1))) / (62,893 + (2/T) * (1 + z^(-1)))\)

The resulting H(z) represents the digital filter equivalent of the given 1st order analog LPF. This transformation enables the implementation of the filter in a digital signal processing system.

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The Steady-state gain can be found using the formula Kp = lim s->0 G(s).

A. (a) The inverse Laplace transform of the function 8 /s² (s+2) is given by f(t) = 8(t - e^(-2t)).

B. (a) To find the inverse Laplace transform of 8 /s² (s+2), we can use partial fraction decomposition and inverse Laplace transform tables.

First, we express the function in partial fraction form as follows: 8 /s² (s+2) = A/s + B/s² + C/(s+2).

To find the values of A, B, and C, we can equate the coefficients of corresponding powers of s in the numerator and denominator. This leads to the equations A + 2B + 2C = 0, A = 8, and B = -8.

Substituting the values of A and B into the equation A + 2B + 2C = 0, we find C = 4.

Now, we have the partial fraction decomposition as: 8 /s² (s+2) = 8/s - 8/s² + 4/(s+2).

Using inverse Laplace transform tables, we find the inverse Laplace transforms of each term: L⁻¹{8/s} = 8, L⁻¹{8/s²} = 8t, and L⁻¹{4/(s+2)} = 4e^(-2t).

Finally, we combine the inverse Laplace transforms of each term to obtain the inverse Laplace transform of the original function: f(t) = 8(t - e^(-2t)).

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Answer:

a = 6

Step-by-step explanation:

using the sine ratio in the right triangle

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{a}{12}\) ( multiply both sides by 12 )

12 × sin30° = a

12 × 0.5 = a , then

a = 6

The mean and standard deviation of a normal population are called parameters, and the mean and standard deviation of a random sample in the population are called statistics.

Normally distributed data:

In a normal distribution, data is distributed symmetrically without asymmetry the data are probabilities whose distribution is symmetrical with respect to the mean.

The normal distribution is symmetric, unimodal and asymptotic, and the mean, median and mode are all equal.

In statistics, standard deviation is a measure of the amount of variation or distribution of a set of values. A low standard deviation indicates that the values ​​tend to be close to the ensemble mean (also called the expected value), while a high standard deviation indicates that the values ​​are spread over a wide range.

For solving the problems are :

The average of the data is the average of the given data. The standard deviation of the data is half the difference between the highest value in the data set and the mean.

These numbers that summarize information about a sample are called statistics.

The numbers that summarize information about a population are called parameters.

Numbers that summarize information about a sample are called statistics.

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Answer:

(B) Parameters

(A) Statistics

Step-by-step explanation:

egg 2023

Refer to the photo taken. Comment any questions you may have.

Answer:

24

Step-by-step explanation:

let x represent the third side.

Using Pythagoras' identity in the right triangle, then

x² + 32² = 40²

x² + 1024 = 1600 ( subtract 1024 from both sides )

x² = 576 ( take the square root of both sides )

x = \(\sqrt{576}\) = 24

The third side is 24

Answer:

1235%

Step-by-step explanation:

12.35

12.35=12.35×100% =1235%

[Shifted the decimal point two steps towards right]

∴12.35=1235%

Answer:

1235%

Step-by-step explanation:

12.35

=> 12.35 x 100/100

=> 1235/100

=> 1235%

Answer:

Identity Property of Addition

Step-by-step explanation:

The identity property of addition says that the sum of 0 and any number is that number. This is true because the definition of 0 is "no quantity", so when we add 0 to -b, the quantity of -b doesn't change!

Answer:

N=+24,-24

Step-by-step explanation:

Well this is a quadratic equation and we can make further deductions using it's discriminant

b²-4ac=0

N²-4(1×144)=0

N²-576=0

N²=576

N=√576

N=+24,-24

The possible values of N are +24, and -24 if both roots of x² + Nx + 144 are equal to each other.

Any equation of the form \(\rm ax^2+bx+c=0\)  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

It is given that:

The quadratic equation is:

x² + Nx + 144 = 0

Discriminant will be zero:

D = 0

b²-4ac=0

N²-4(1×144)=0

N²=576

N=√576

N=+24,-24

Thus, the possible values of N are +24, and -24 if both roots of x² + Nx + 144 are equal to each other.

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Based on the provided table and equation when the class size is 1, gymnastics is less expensive, and when the class size is 3 or 4, ice skating is less expensive.

Given that y denotes the price and x denotes the number of classes, the gymnastics programmed is completed by the table, whereas the ice skating program is concluded by the equation y = 18x + 20.

Find the cost of the ice skating programmed for classes 1, 2, 3, and 4 as the table already lists the price for each specified number of gymnastics courses.

For 1 class, substitute x = 1 into y = 18x + 20:

y = 18(1) + 20

y = $38

For 2 class, substitute x = 2 into y = 18x + 20:

y = 18(2) + 20

y = $56

For 3 class, substitute x = 3 into y = 18x + 20:

y = 18(3) + 20

y = $74

For 4 class, substitute x = 4 into the equation y = 18x + 20:

y = 18(4) + 20

y = $92

We may infer from the foregoing that gymnastics is less expensive when the number of lessons is 1. When there are three or four courses, ice skating is less expensive.

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In order to be within a 1% margin of error at a 95% confidence level, the candidate would need to survey 9604 people in the community. The size of the sample is 9604.

We have a political candidate who wants a 1% margin of error at a 95% confidence level. To find the size of the sample, we use the formula given below;

n = [ Z (α/2) / E ]²

Where,

n = the sample size required

Z (α/2) = the value obtained from the standard normal distribution for the given level of confidence

E = the margin of error

Here, α = 1 - 0.95 = 0.05

Z (α/2) = Z (0.025), is the z-value corresponding to 0.025 in the normal distribution table. It is found to be 1.96.

Now, substituting the given values in the formula,

n = (1.96² * 0.5 * 0.5) / 0.01² ⇒ 9604

Hence, the sample size required for the poll is 9604.

However, this is not feasible, as it would be very expensive and time-consuming. Therefore, we will round the answer to the nearest whole number as we are looking for a practical solution. Thus, the candidate would need to survey 9604 people in the community (rounded to the nearest whole number).

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Answer:

x=8

Step-by-step explanation:

Answer:

Use colon method

Step-by-step explanation:

So it is more easy

A political party is made up of people who band together to run the government, win elections, and shape public policy. Currently, the two major parties in Congress are the Democratic and Republican.

Political parties act as a conduit between the governed and the ruling class. They educate the public, arouse inspiration, and pique interest in and engagement in public affairs. Their main duty is to suggest candidates for elected office.

Self-annuncation, in which a candidate for office only declares their candidacy, is the earliest method of nominating in American politics.

The national chairman, a national committee, the national convention, and two congressional campaign committees make up the party's overall organizational structure. The party is decentralized at the state level, and state legislation generally determines how it is structured.

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Among the given expressions, the one that could be the possible leading term for the polynomial function graphed below is -18x¹⁴.

The leading term of a polynomial function is the term containing the highest power of the variable. Among the given expressions, the one that could be the possible leading term for the polynomial function graphed below is -18x¹⁴.

The degree of a polynomial function is the highest degree of any of its terms.

If a polynomial has only one term, then the degree of that term is the degree of the polynomial and is also called a monomial.

For example, consider the given function:Now, observe the degree of the function, which is 14, as the highest exponent of the function is 14.

Thus, the term containing the highest power of the variable x is -18x¹⁴.

Therefore, among the given expressions, the one that could be the possible leading term for the polynomial function graphed below is -18x¹⁴.

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Answer:

Step-by-step explanation:

-11

Answer:

267.3

Step-by-step explanation:

area of a regular polygon =

(perimeter * apothem)/2

perimeter: 9 * 6.6 = 59.4

area: 59.4 * 9 = 534.6

534.6/2 = 267.3

area = 267.3

Answer:

I believe its 20 Lawns.

Step-by-step explanation:

Answer:

The answer to this is B. y=32.55

Answer:

72 cubic units

Step-by-step explanation:

V=lwh

l=6

w=4

h=3

6*4*3 = 72

Hope this helps.

Step-by-step explanation:

2x+3>4x-8

or, 3+8>4x-2x

or, 11>2x

or, 11/2 > x

or, x < 11/2

Answer: No linear correlation. The graph suddenly shifts midway, meaning there is no correlation.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

everything cancels out

Answer:

0 or nothing

Step-by-step explanation:

9 plus 5 minus 3 minus 6 minus 3 minus 2

14 minus 3 minus 6 minus 3 minus 2

   11 minus 6 minus 3 minus 2

        5 minus 3 minus 2

                2 minus 2

                       0

Answer: a soda costs $4

Step-by-step explanation:

add totals and divied by each number

Answer: $4

Step-by-step explanation: