suppose that and use phasors to reduce the sum to a single term of the form draw a phasor diagram, showing and state the phase relationships between each pair of these phasors

If a decision maker wishes to reduce the margin of error associated with a confidence interval estimate for a population mean, she can decrease the sample size. So the option a is correct.

If a decision maker wishes to reduce the margin of error associated with a confidence interval estimate for a population mean, then we have to explain what she can:

decrease the sample size.

increase the confidence level.

increase the sample size.

increase the sample size.

As we know that;

The formula of Margin of Error is;

ME = Z(α)× √σ^2/n

where; ME = margin of error

α = confidence level

z(α) = quantile

σ = standard deviation

n = sample size

So as we can see that Margin of Error is inversely proportion to sample size.

So, if a decision maker wishes to reduce the margin of error associated with a confidence interval estimate for a population mean, she can decrease the sample size. So the option a is correct.

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A function is a rule that for each input has at most one output.

Describe a function. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (the domain) and their outputs (the codomain), where each input has exactly one output and the output can be traced back to the original input.

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The Fibonacci sequence is 1, 1, 2, 3, 5,... , here each number of the sequence is the sum of the two preceding numbers in the sequence.

The Fibonacci sequence is the sequence that each number in the sequence is the sum of the preceding numbers

The first term = 1

The second term = 1

Third term will be the sum of the two preceding numbers

Third term = First term + second term

= 1 + 1

= 2

The fourth term = second term + third term

= 1 + 2

= 3

The fifth term = Fourth term + Third term

= 2 + 3

= 5

The sequence will be 1, 1, 2, 3, 5....

Therefore, the Fibonacci sequence is the sequence each number is the sum of the two preceding ones

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Answer:

qwqe

Step-by-step explanation:wqeqwe

The distance from the point to the parametric line is given as follows:

5 units.

The first step is obtaining the vector from the line L(0, 5 + 3t, 2 + t) to the point P(5,5,2), as follows:

P - L = (5, -3t, -t).

The direction vector of the line is given as follows:

(0, 3, 1).

The dot product of the vector with the direction of the line is of zero, hence:

(5, -3t, -t)(0, 3, 1) = 0

-9t - t = 0

-10t = 0

t = 0.

Thus the point on the line which we will use to obtain the distance is of:

(0, 5 + 3(0), 2 + 0) = (0,5,2).

The the distance is obtained applying the formula for the distance between two points as follows:

Distance = square root [(5 - 0)² + (5 - 5)² + (2-2)²] = 5 units.

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The given statement is FALSE.

Given statement;

When practicing statistics in real life, it is not very important to check the necessary assumptions of a statistical procedure to effectively carry out and use the results.

The above-mentioned statement is FALSE.

→ We are aware that checking assumptions is crucial when applying statistics in daily life because failing to do so will prevent us from receiving fair answers to our statistical queries or drawing valid inferences. To use the good process and appropriate statistical distributions while utilizing statistics in daily life, it is crucial to examine assumptions.

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The required share of John in the profit is given as $8000. Option B is correct.

Given that,
John, Sally, and Jane form a partnership. They agree to distribute profits by paying Sally a $50,000 salary and distributing the balance using a 2:1:2 ratio respectively. Profits for the year are $70,000.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

here,
total profit = 70000
Sally is salary = 50000
remaining profit  = 70000 - 50000 = $20000
Now,
total share as of the proportions is 2 + 1 + 2 = 5

Jhon proportion for the share of the profit = 2 / 5
Now,
John share = 2 / 5 [20000] = $8000

Thus, the required share of John in the profit is given as $8000. Option B is correct.

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The value of 'b' obtained for the given exponential function is 0.055.

The stated exponential function is-

y = 5832(b)ˣ

This, function contains the point (3, 1).

Put the value in the r function;

1 = 5832(b)³

(b)³ = 1/5832

b = ∛1/5832

b = 0.055

Thus, the value of 'b' obtained for the given exponential function is 0.055.

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Answer: 13 + 2x = 63 and the cost of one ticket is $25 (x=25)

Step-by-step explanation:

Build the equation from what it tells you.

The entire trip costs $63

The concert ticket that is included costs $13

Two passes cost the same amount, use x for what you don't know, 2x.

So,  13 + 2x = 63.

Find x = cost one pass.

13 + 2x = 63

-13.          -13

      2x= 50

    2x/2= 50/2

     x= 25

Answer: 227

Step-by-step explanation: (5 + 4 ) = 9                                                      

= 3 x 9^2 - 4^2

9^2 = 81

= 3 x 81 - 4^2

4^2 = 16

= 3 x 81 - 16

3 x 81 = 243

= 243 - 16

243 - 16 = 227

= 227.

Answer:

(x - 3 i) (x + 3 i) (x + 3)

Step-by-step explanation:

Answer:

55000 grams

Step-by-step explanation:

1 kg = 1000 grams  ==> kilo means 1000, so 1 kilogram = 1000 grams

Now multiply 55 kg with the grams-kilograms conversion factor to get the total number of grams Shaina weighs.

55 kg* 1000 grams / 1 kg =

55 * 1000 grams / 1 =  ==> cancel out the kg

55 * 1000 = 55000 grams

The statement nine more than the product of 5 times the number of tires t can be written as, 9 + 5t, so option A is correct.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

Given statement:

nine more than the product of 5 times the number of tires t

The above statement can be written as

= 9 + 5 × t

= 9 + 5t

Therefore, the statement nine more than the product of 5 times the number of tires t can be written as, 9 + 5t.

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The prime number that cannot be in the set is A . 2.

Prime number:

In math, prime number is a natural number greater than 1 that is not a product of two smaller natural numbers

Given,

Here we need to find the prime number that is not in the set, if if the sum of a set of ten different positive prime numbers is an even number.

Here we know that, all prime numbers except the first prime number are odd except 2.

And here we assume that the two prime numbers are different,

So, if one of the prime number is 2 which is even, the other prime number would be odd and hence sum of the prime numbers would be odd as sum of an even and an odd number is always odd.

Where as if none of the prime numbers are odd, then both the prime numbers would be odd and hence sum of the prime numbers would be even as sum of two odd numbers is always even.

There the correct option is A. 2.

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Check the picture below.

The similarities between matrix factorization and content-based filtering and/or collaborative filtering are given below.

What is matrix factorization and collaborative filtering?

A group of cooperative filtering algorithms used in recommender systems is called matrix factorization. The user-item interaction matrix is broken down into the product of two rectangular matrices with lower dimensions by matrix factorization algorithms.

Collaborative filtering makes recommendations by simultaneously comparing similarities between users and items, addressing some of the drawbacks of content-based filtering.

collaborative filtering: user-based for example, CF calculates users' similarities in the item space. Then taking similar users's interest to do a recommendation for the target user. CF is one case of neighborhood methods.

matrix factorization amounts to mapping features of user and item via linear combination to latent factor space respectively.

Then calculating the similarity via inner-product of latent user factor and latent item factor.

CF covers local information of target user for the sake of neighborhood methods, while MF covers global information.

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The coordinates of point B are (4, 0)

From the question, we have the following parameters that can be used in our computation:

A = (6, 10)

Midpoint = (5, 5)

The midpoint of a line from its endpoints is calculated using the following equation

Midpoint  = (x₂ + x₁)/2 + (y₂ + y₁)/2

Substitute the known values in the above equation, so, we have the following representation

(5, 5) = (6 + x₁)/2 + (10 + y₁)/2

Multiply by 2

(10, 10) = (6 + x₁) + (10 + y₁)

By comparison, we have

x + 6 = 10

y + 10 = 10

Evaluate

x = 4

y - 0

Hence, the point is (4, 0)

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The values of x and y after solving this system of equations will be 32/35 and -88/105 respectively.

System of equations are a set of two or more equations that contain variables. The values of the variables can be calculated using either method of elimination or substitution. The values of the variables must then satisfy all the equations.

For a set of two equations, in elimination we make the coefficient of any one variable equal to the coefficient of the same variable in the other equation. This can be done by multiplying or dividing the whole equation accordingly. Then we subtract the equations from each other and solve for one variable.

6x - 3y = 8 (multiplying this equation by -2 to make the coefficient of y equal to that of in the equation 23x + 6y = 16)

Now are equations are

-12x + 6y = -16 and 23x + 6y = 16

subtracting eq 1 from eq 2 gives,

35x = 32 (Note that y has now been eliminated)

x = 32/35

Substituting this value of x in any one of the equations will then give the value of y to be -88/105

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The distinction between them is that an integer is a negative number without a decimal point.

All whole numbers and negative numbers are considered integers. This means if we include negative numbers together with whole numbers, we form a set of integers.

Positive, negative, and zero are all examples of integers.

The Latin word "integer" signifies "whole" or "intact."

As a result, fractions and decimals are not included in integers. In this article, let's learn more about integers, their definition, and their characteristics.

According to our question-

The group of integers that are neither whole nor a natural number are:

As previously noted, the third set of integers lacks a decimal point;

However, the difference between them is that; a negative number without a decimal point is referred to as an integer

From the provided set: only fit into the description of an integer, because

It does not have a decimal point

And that is unfavorable.

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The required invested money is given as $2200.

Harriett Weiss earned $77 in simple interest in 6 months at an annual interest rate of 7%.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

Here,

Applying the standard formula for the simple interest.
SI  = principal × rate × time / 100
77 =[ p × 7 × 6/12 ]/ 100
p = 77 / 7 × 2 × 100
p = 11 × 200
p = 2200

Thus, the required investment amount is specified as $2200.

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complete analysis (carrying out steps A-H in section 4.4 from the Stewart textbook)

results as The graph of f(2) = et te is a straight line with a y-intercept of 1.

A) f(2) = et te

Step A) Identify the domain and range of the function:

Domain: All real numbers

Range: All real numbers

Step B) Find any x-intercepts:

x-intercepts: None

Step C) Find any y-intercepts:

y-intercept: f(0) = e0te = 1

Step D) Find any vertical asymptotes:

Vertical asymptotes: None

Step E) Find any horizontal asymptotes:

Horizontal asymptote: None

Step F) Find any points of inflection:

Points of inflection: None

Step G) Find any symmetry:

Symmetry: None

Step H) Sketch the graph:

The graph of f(2) = et te is a straight line with a y-intercept of 1.

B) f(x) = tan-(+)

Step A) Identify the domain and range of the function:

Domain: All real numbers

Range: All real numbers except -π/2, π/

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f(5) = 7 is another to say a point at (5 , 7)

f(2) = 0 is another to say a point of (2 , 0)

to get the equation of any straight line, we simply need two points off of it, let's use those two above

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{0}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{5}}} \implies \cfrac{ -7 }{ -3 } \implies \cfrac{ 7 }{ 3 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{ \cfrac{ 7 }{ 3 }}(x-\stackrel{x_1}{5}) \\\\\\ y-7=\cfrac{ 7 }{ 3 }x-\cfrac{ 35 }{ 3 }\implies y=\cfrac{ 7 }{ 3 }x-\cfrac{ 35 }{ 3 }+7\implies {\Large \begin{array}{llll} y=\cfrac{ 7 }{ 3 }x-\cfrac{14}{3} \end{array}}[/tex]

The equation of the line perpendicular to the line y = 3x+7 is 3y = -x-17

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Given that, a line is perpendicular to line y = 3x+7 and passing through points (-2,-5)

The slope of perpendicular lines is negative reciprocal of each other.

Therefore, the slope of the asked line is -1/3

Finding c,

-5 = -1/3x(-2)+c

c = -17/3

Therefore, the equation of the line is y = -1/3x-17/3 or 3y = -x-17

Hence, The equation of the line perpendicular to the line y = 3x+7 is

3y = -x-17

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The first four terms of the sequence given the sequence definition are 17, 15, 13 and 11

From the question, we have the definition of the function that can be used in our computation:

f(n) such that

f(1) = 17

f(n) = f(n - 1) - 2 if n > 1

The above definitions imply that we simply subtract 2 from the previous term to get the current term

Using the above as a guide,

So, we have the following representation

f(2) = 17 - 2

f(2) = 15

Also, we have

f(3) = 15 - 2

f(3) = 13

Lastly, we have

f(4) = 13 - 2

f(4) = 11

Hence, the the first four terms are 17, 15, 13 and 11

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Answer:

daymn

it's gonna be okay

Answer:

[tex]y=2^x-5[/tex]

Step-by-step explanation:

The y-intercept occurs when x = 0.

Therefore, substitute x = 0 into each equation to find its y-intercept.

[tex]\begin{aligned}\implies y&=(-4)^0\\&=1\end{aligned}[/tex]

[tex]\begin{aligned}\implies y&=2^0-5\\&=1-5\\&=-4\end{aligned}[/tex]

[tex]\begin{aligned}\implies y&=3^0+4\\&=1+4\\&=5\end{aligned}[/tex]

[tex]\begin{aligned}\implies y&=(0)^{-4}\\&=0\end{aligned}[/tex]

Therefore, the exponential function that has a y-intercept of (0, -4) is:

[tex]\large\boxed{y=2^x-5}[/tex]

As per the given confidence interval, the population mean remodeling costs for the two types of projects is -1.6

Confidence interval

The  range of values that's likely to include a population value with a certain degree of confidence is known as confidence interval.

Given,

A certain association provided data on the cost of the most popular home remodeling projects.

Here we need to find the the population mean remodeling costs for the two types of projects.

Here we will find the point estimate of the difference between the population mean remodeling costs for the two types of projects using an equation,

=> X1​ − X2​

In order to calculate the sample mean we will use equation,

=> X = ∑x/n

Now, we have to substitute values we get,

=> X1 ​= 21.2

=> X2 ​= 22.8

Here X1 refers the sample mean remodeling costs for the kitchen and X2​refers the sample mean remodeling cost for the master bedroom.

Therefore, the point estimate of the difference between the population mean remodeling costs for the two types of projects are,

=> X1 ​− X2​ ​= −1.6

Therefore, we estimate that the remodeling master bedroom has the mean costs of 1.6 greater than mean remodeling costs for the kitchen.

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The maximum profit is maximized 70 of product A and 20 of product B are produced.

The objective function:

The profit is 50 for each product A and 60 for each product B:

P = 50A + 60B

The machine 1 constraint:

2 minutes for each product A and 3 minutes for each product B; 200 total minutes available:

2A+3B ≤  200

The machine 2 constraint:

4 minutes for each product A and 1 minute for each product B; 300 total minutes available:

4A+B ≤  300

The production constraints:

At least 8 of product A and at least 10 of product B:

A ≥  8

B ≥  10

2A+3B=200

4A+B=300

4A+6B=400

5B=100

Divide

B = 100 / 5

B=20

Also, A=70

The units are 70 and 20 respectively.

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