Can someone plz help with this one problem (I’m marking brainliest)!!!!

Can Someone Plz Help With This One Problem (Im Marking Brainliest)!!!!

Answers

Answer 1

Answer:

(3,6)

(4,7)

(5,8)

(6,9)

Step-by-step explanation:

Basically, you plug in the x value into the equation to get your y value.

Answer 2

Answer:

(3,6)(4,7)(5,8)(6,9)

Step-by-step explanation:

Use the numbers in the x column by inserting them into the equation to get y.

y=x+3

3+3=6

4+3=7

5+3=8

6+3=9

(hope this helps :P)


Related Questions

Find the perimeter and area of a 30-60-90 right triangle with a hypotenuse of 8 m

Answers

the perimeter and area is the hypotenuse multiplied

Peter needs to measure the slope of a cone-shaped pile of

sand. The vertical distance from the pile's peak to its base is

2.5 meters and the horizontal distance from its peak to its edge

is 5 meters. What is the slope of the pile of sand?

(Enter your answer as a decimal rounded to the nearest tenth)

Answers

Answer:

The slope of the pile of sand is 0.5

Step-by-step explanation:

Since slope = vertical distance/horizontal distance.

Here, the vertical distance from the pile's peak to its base is 2.5 meters and the horizontal distance from its peak to its edge  is 5 meters.

So, we calculate the slope as

slope = vertical distance/horizontal distance where vertical distance = vertical distance from the pile's peak to its base = 2.5 meters and horizontal distance = horizontal distance from its peak to its edge  = 5 meters.

slope = vertical distance/horizontal

slope = 2.5 meters/5 meters

slope = 0.5

So, the slope of the pile of sand is 0.5

can you guys please help me on this?

can you guys please help me on this?

Answers

Answer:

x= -5

Step by step:

Multiply both sides by 5

-20 = 3x - 5

Add 5 to both sides

-15 = 3x

Divide both sides by 3

-5 = x

And that’s all

Hope this helps!

can someone help me with this quickly

can someone help me with this quickly

Answers

Answer:

Step-by-step explanation:

 y - y0 = m(x - x0)

y - (-8) = (-1/2)(x - 4)

 y + 8 = (-1/2)x + 2

 y = (-1/2)x - 6  or  (1/2)x + y = -6

When applying a discount and then a tax, you will multiply to find the discount, subtract it, multiply to find the tax, and then add it. True or False?​

Answers

When applying a discount.......True

the circumference of the base of a 5 -foot-high cylinder is 46 inches. what is the volume of the cylinder? (use the formula v

Answers

The volume of the cylinder is 10,099.09 inches³.

Here we have to find the volume of the cylinder.

Given data:

Circumference = 46 inches

height(h) = 5 foot = 12 × 5 = 60 inches

Circumference = 2πr

46 = 2 ×π × r

r = 23/π

The formula for the volume of the cylinder = πr²h

Volume = π( 23/π)² 60

               = 529× 60 / π

               = 10,099.09 inches³

Therefore the volume is 10,099.09 inches³.

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T/F. Exception reports show a greater level of detail than is included in routine reports.

Answers

True. Exception reports show a greater level of detail than is included in routine reports.

Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.

This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.

This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.

It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.

For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.

The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.

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You deposit $200 in a savings account. The account earns 6% simple interest per year.
A. What is the interest earned after 2 years?
B. What is the balance after 2 years

Answers

Answer:

A. $24

B. $224

Step-by-step explanation:

Simple interest=SI

Principle (deposit)= P (200)

Rate=R(6/100=0.06)

Time=T(2)

SI=P•R•T

SI=200x0.06x2

SI=24

Balance= deposit+interest=200+24=224

Which would cause a shift in the supply curve?

Answers

The supply curve shifts as a result of every factor but a change in market price. The movement along the supply curve and the change in price are correlated.

What is meant by supply curve?

The supply curve can change depending on a number of variables, such as shifts in production costs (such as raw material and labor prices), advancements in technology, the level of competition and the number of sellers/producers, as well as the regulatory and tax environment.

Although a shift in the quantity supplied or along the supply curve for a given commodity or service is frequently brought about by a change in price, the supply curve itself does not alter as a result.

Input prices, weather conditions, technological advancements, as well as governmental taxes, regulations, and subsidies, can all modify the supply curve for goods and services, resulting in a different quantity being delivered for a given price.

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Please help,
In a bowl of fruit, there are green grapes and black grapes in the ratio of 3:5. If there are 27 green grapes, how many black grapes are there.

Answers

Answer:

45

Step-by-step explanation:

27 DIVIDED BY 3 IS 9

SO 9 MULTIPLIED BY 5 IS 45

SO THE ANSWER IS 45

Nina likes to tip restaurant staff 18% when she enjoys the meal and has good service. Which expression represents the amount of tip, in dollars, that Nina will give when she has a positive experience eating a meal that cost n dollars? 0. 18n 18n StartFraction n over 18 EndFraction n 0. 18.

Answers

The expression represents the amount of tip, that Nina will give, when she has a positive experience eating a meal that cost n dollars is \(0.18n\). Hence the option A is the correct option.

How to write algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The  algebraic expression are used represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic expression-

Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.

Given information-

The tip given by the the Nina is 18 percent.

The cost of food is \(n\) dollars.

Here the Nina gave the tip of 18 percent. This 18 percent is the percentage of total cost of the food.

Let \(f(n)\) is the required expression.

As the the cost of food is \(n\) dollars. Thus the 18 percent of \(n\) dollars is,

\(f(n)=\dfrac{18}{100} \times n\\f(n)=0.18n\)

Thus the expression represents the amount of tip, that Nina will give, when she has a positive experience eating a meal that cost n dollars is \(0.18n\). Hence the option A is the correct option.

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(x^2 times x^3)^3
Some body please help me

Answers

Question:-(x² times x³)³=??

Formula required:-\(( {a})^{m {}^{n} } {}^{} = {a}^{m \times n} \\ \)\( {a}^{m} \times {a}^{n} = {a}^{m + n} \)

Answer:-

\( = (x^2 \times x^3)^3 \\ = x {}^{6} \times {x}^{9} \\ = (x) {}^{6 + 9} \\ = {x}^{15} \)

(x^2 X x^3)^3

When the bases are the same and they are multiplying we take one base, consider the exponents and add them
=(x^(2+3))^3

=(x^5)^3

=x^(5 X 3)

=x^15

3x - 5(x -5) = - 3 + 5x + 7

Answers

Answer:

x=3

Step-by-step explanation:

3x-5x+25= 5x+4

-2x+25=5x+4

+2x.      +2x

25=7x+4

-4.      -4

21=7x

/7. /7

3=x

Hopes this helps please mark brainliest

Answer:

x = 3

Step-by-step explanation:

3x - 5(x -5) = - 3 + 5x + 7

3x - 5x + 25 = 4 + 5x

3x - 5x -5x = 4 - 25

-7x = -21

x = -21 : (-7)

x = 3

Through a review of census records, Rebecca was able to determine that the mean age of the population she was studying was 23.4 years old. This is known as a(n)

Answers

Through a review of census records, Rebecca was able to determine that the mean age of the population she was studying was 23.4 years old. This is known as a(n) "average."

Through her analysis of census records, Rebecca was able to calculate the average age of the population she was studying. This value, which is the sum of all ages divided by the total number of individuals, is known as the mean. In this case, the mean age of the population was 23.4 years old. This statistic provides a useful summary of the age distribution of the population, but it should be noted that there may be variability or outliers that could impact the interpretation of the mean. Therefore, it is important to also consider other measures of central tendency and dispersion when analyzing data.


The average is calculated by adding up all the ages in the population and dividing the sum by the total number of individuals. This statistical measure helps provide a general understanding of the age distribution in the population, allowing for further analysis and comparisons to be made.

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Sketch and solve the following triangles.

1. The legs of a right triangle measure 5cm and 12cm. What is the measure of its hypotenuse?

2. In ∆ABC and C is a right angle, if c = 12 and b = 10, find cos A.

3. In ∆ABC and C is a right angle, the opposite of ∠A = 12. if the hypotenuse = 13, find tan θ.

4. If sin A = \( \frac{15}{17} \) What is tan A?

5. If cot θ = \( \frac{7}{24} \) What is sec θ?

\(\large\tt{(Nonsense \: will \: be)} \\ \large \tt{( \: reported!)} \)




Answers

Answer:

#1

Use Pythagorean:

c² = a² + b²

Apply to given and find c:

c² = 5² + 12²c² = 169c = √169c = 13 cm

#2

cos = adjacent / hypotenusecos A = b/ccos A = 10/12 = 5/6

#3

Assumed θ is ∠A, this is not too clear

We have:

a = 12c = 13

We know that:

tan A = a/b

Find b:

b = √c² - a² = √13²-12² = √25 = 5

So

tan A = 12/5

#4

Given

sin A = 15/17

We know that:

sin A = a/c, so a = 15 and c = 17tan A = a/b

Find b:

b = √c² - a²= √17²-15²= √64 = 8

So

tan A = a/b = 15/8

#5

Given

cot θ = 7/24

We know:

cot = adjacent / oppositesec = 1/cos = hypotenuse / adjacent

From the cot we have:

adjacent = 7, opposite = 24

Hypotenuse is:

√24² + 7² = √625 = 25

So,

sec θ = 25/7

Let X and Y be independent random variables, each uniformly distributed on the interval [0, 1]. 1. Let Z = max{ X, Y} Find the PDF of Z.

Answers

The probability density function (PDF) of Z, where Z = max{X, Y} and X and Y are independent random variables uniformly distributed on the interval [0, 1].

1. First, we need to find the cumulative distribution function (CDF) of Z, which is given by P(Z ≤ z). Since X and Y are independent, we can write this as P(max{X, Y} ≤ z) = P(X ≤ z and Y ≤ z).

2. As X and Y are uniformly distributed on [0, 1], their individual CDFs are given by P(X ≤ x) = x and P(Y ≤ y) = y for x, y ∈ [0, 1].

3. Since X and Y are independent, we can multiply their CDFs to find the joint CDF of Z: P(Z ≤ z) = P(X ≤ z) * P(Y ≤ z) = z * z = z^2 for z ∈ [0, 1].

4. Finally, to find the PDF of Z, we take the derivative of the CDF with respect to z:

f_Z(z) = d/dz (z^2) = 2z for z ∈ [0, 1].

So, the probability density function PDF of Z, where Z = max{X, Y} and X and Y are independent random variables uniformly distributed on the interval [0, 1], is f_Z(z) = 2z for z ∈ [0, 1].

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what is the domain of the function below?

what is the domain of the function below?

Answers

Answer:

A. {-9, -4, -1}

Step-by-step explanation:

Every number on the f(x) side is the domain which is the input numbers.

If you have any additional questions feel free to ask me or your teacher so you can really master what you're learning. :)

Answer:

the last one

Step-by-step explanation:

domain is on the x axis

Adam wants to create an outdoor rectangular kennel. The length will be three feet more than twice the width. Write and use an equation to find the length and width of the kennel if Adam has 54 feet of fencing. Write and solve an equation to solve this problem.

Answers

Step-by-step explanation:

l = 3 + 2w

P= 2w t 2l

= 2w+2(3+2w)

=2w+6+4w

=6w+6 = 54

6w=48

w=8

divide 6 both side

l=3+2(8)=3+16=19

answer

width 8feet and length 19 feet

2. What is the average salary offered to a Stony Brook college graduate? To study this question you and a friend interview N students that graduated last year, and ask them what they earn. Student i's response was recorded as Yi. You are interested in the average, My. You assumed that the sample of Y's is iid. First you calculate the following estimate of uy: W1 N 1 N i=1 ΣΥ. . You and your friend each collected half the data. Thus you collected Y1, ..., YN/2 and your friend collected Yn/2+1, ... , Yn. Unfortunately, it turns out that your friend collected the data at a wild alumnae party, and you suspect that these data may not be as precise as your data. So whereas the variance of your data is, var(Y;) = 0%, i = 1, ...,N/2. then your friends data have the variance, var(Y) = oʻ(1 + 3c), i=N/2+1, ...,N, for some constant c> 0. (d) Your friend is sorry that half the data are not as precise as they could have been, and suggest that you discard the noise data, and simply use hr Na Ex? Y; as your estimator for my. Which estimator is most efficient (has the smallest variance) în or îz? Does your answer depend on c? = N.Σ. (Υ – μ.) - = (e) Suppose now that c = 0 such that var(Y;) = o2 for i = 1, ...,N. You have N = 300 observation and calculate s2 = 20,000,000 and î1 = $48,000. Before collecting the data, your friend argues mean salary, my, is s $50,000, using a 1% significance level. Write down the confidence interval at 1% significance level and decide whether you will accept your friend's

Answers

The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

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A researcher developing a regression equation to predict income in thousands of dollars from age (A) and educational status (%) found a significant interaction between age and educational status (X). Educational status is a dummy variable with 0 = high school or less and 1 = some education beyond high school Given the equation = 14.2 + 0.5 1 + 1.7X2 + 0.1X3 + e, what is the predicted income for a 43-year- old who left school after the 10th grade? $35,700 $37.400 $34,000 $35,800

Answers

The predicted income for a 43-year- old who left school after the 10th grade is in option (A) i.e.  $35,700.

Given that:

Educational status is a dummy variable with 0 = high school or less and 1 = some education beyond high school

Regression equation = 14.2 + 0.5 X1 + 1.7X2 + 0.1X3 + e

X1 => Age; X3→ (0 if high school or less and 1 if some education beyond high school)

X2 => (X2 * X3)→ (0 if high school or less and X1 if some education beyond high school)

Given: X1 = 43, X2 and X3 = 0

Putting these values in the below equation.

y = 14.2 + 0.5 X1 + 1.7X2 + 0.1X3 + e

y = 14.2 + (0.5 x 43) + 1.7 x 0 + .1 x 0 + e

y = 14.2 + (0.5 x 43) + 0 + 0 + e

y = 14.2 + 21.5 + e

y = 35.7 + e

The value of e can be neglected as it is a constant value.

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Define the following:
=> Accuracy
=> Add Decimals

Answers

Answer:

accuracy- the quality of state of being correct or precise

add decimals- write the numbers in a column, and make sure that the decimal points are aligned.

Answer/Step-by-step explanation:

 Refer to picture below:

Define the following:=> Accuracy=> Add Decimals

Use the bar graph to find the experimental probability of the event

The experimental probability of not spinning 1

Use the bar graph to find the experimental probability of the eventThe experimental probability of not

Answers

First add up the number of times spun. We get 50 spins now add up the number of spins that we didn't get 1. For that we get 42 now divide 42/50= 21/25. So for every 25 spins 21 of them will probably be something other than 1. Your answer is 21/25

For \( \bar{A}=x \bar{a} x+y \bar{a} y+z \bar{a} z \) and \( \bar{B}=2 x \bar{a} x+3 y \bar{a} y+3 z \bar{a} z \). Find the followingat \( (2,2,1) \). a) \( \bar{C}=\bar{A} \times \bar{B} \) b) Find \

Answers

a. At point (2, 2, 1) the vector \(\bar{C} = - 2\bar{a}y+4\bar{a}z\)

b. At (2, 2, 1) the value of D = 23

Given that,

For \(\bar{A}=x \bar{a} x+y \bar{a} y+z \bar{a} z \)\) and \(\( \bar{B}=2 x \bar{a} x+3 y \bar{a} y+3 z \bar{a} z \)\).

Here, A and B are vectors

We know that,

a. At (2, 2, 1) we have to find \(\bar{C}=\bar{A} \times \bar{B}\).

C is a vector by using matrix,

\(\bar{C}=\left[\begin{array}{ccc}\bar{a}x&\bar{a}y&\bar{a}z\\x&y&z\\2x&3y&3z\end{array}\right]\)

Now, determine the matrix,

\(\bar{C} = \bar{a}x(3yz - 3yz) - \bar{a}y(3xz - 2xz)+\bar{a}z(3xy - 3xy)\)

\(\bar{C} = - \bar{a}y(xz)+\bar{a}z(xy)\)

At point (2,2,1) taking x = 2 , y = 2 and z = 1

\(\bar{C} = - \bar{a}y(2\times 1)+\bar{a}z(2\times 2)\)

\(\bar{C} = - 2\bar{a}y+4\bar{a}z\)

b. At (2, 2, 1) we have to find \(D=\bar{A} .\bar{B}\)

\(D=\bar{A} .\bar{B}\)

\(D = (x \bar{a} x+y \bar{a} y+z \bar{a} z )(2 x \bar{a} x+3 y \bar{a} y+3 z \bar{a} z)\)

D = 2x² + 3y² + 3z²

At point (2,2,1) taking x = 2 , y = 2 and z = 1

D = 2(2)² + 3(2)² + 3(1)²

D = 23.

Therefore, At (2, 2, 1) D = 23

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The question is incomplete the complete question is -

For \(\bar{A}=x \bar{a} x+y \bar{a} y+z \bar{a} z \)\) and \(\( \bar{B}=2 x \bar{a} x+3 y \bar{a} y+3 z \bar{a} z \)\).

Find the following at (2,2,1)

a. \(\bar{C}=\bar{A} \times \bar{B}\)

b. \(D=\bar{A} .\bar{B}\)

Question 12(Multiple Choice Worth 2 points)
(Making Predictions MC)

A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?

There were about 193 principals in attendance.
There were about 260 principals in attendance.
There were about 557 principals in attendance.
There were about 680 principals in attendance.

Answers

Thus, we may estimate that there were 557 principals present at the meeting.

Explain about the Proportion:

A mathematical comparison of two numbers is called a percentage. These figures frequently serve as a comparison between various objects or individuals. Take the scenario where you entered a crowded room as an example.

We can forecast how many principals will attend the conference according to the data supplied.In a room with 70 individuals in total and 52 principals, the ratio of principals to attendees would be as follows:

52/70 = 0.743 or 74.3%

Applying this ratio to the total number of attendees, we can extrapolate the proportion of principals at the conference, assuming that it is reflective of the conference as a whole:

Total principals at conference = Proportion of principals x Total number of attendees

Total principals at conference = 0.743 x 750

Total principals at conference ≈ 557

As a result, we may estimate that there were 557 principals present at the meeting.

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Using the EVUII method, what will be the Final expected value? Success Moderate Failure Success 0.5 0.3 0.2 Probability Sell Company 232 350 100 322 220 220 Form Joint Venture 232 115 -140 Sell Software on own 1) 252 2) 222 3) 271 4) 281

Answers

The decision with the highest EU is "Keep Current Operations" with an EU of 281. The Final Expected Value using the EVUII method is 281.

To calculate the Final Expected Value (EV) using the EVUII (Expected Value of Utility Information) method, we need to calculate the Expected Utility (EU) for each decision and then choose the decision with the highest EU.

Let's calculate the EU for each decision:

1) EU for "Sell Company":

EU(Success) = 0.5 * 232 = 116

EU(Moderate) = 0.3 * 350 = 105

EU(Failure) = 0.2 * 100 = 20

EU(Sell Company) = EU(Success) + EU(Moderate) + EU(Failure) = 116 + 105 + 20 = 241

2) EU for "Form Joint Venture":

EU(Success) = 0.5 * 322 = 161

EU(Moderate) = 0.3 * 220 = 66

EU(Failure) = 0.2 * 220 = 44

EU(Form Joint Venture) = EU(Success) + EU(Moderate) + EU(Failure) = 161 + 66 + 44 = 271

3) EU for "Sell Software on own":

EU(Success) = 0.5 * 252 = 126

EU(Moderate) = 0.3 * 222 = 66.6

EU(Failure) = 0.2 * 271 = 54.2

EU(Sell Software on own) = EU(Success) + EU(Moderate) + EU(Failure) = 126 + 66.6 + 54.2 = 246.8

4) EU for "Keep Current Operations":

EU(Keep Current Operations) = 281

Now, we compare the EU for each decision to determine the one with the highest EU:

EU(Sell Company) = 241

EU(Form Joint Venture) = 271

EU(Sell Software on own) = 246.8

EU(Keep Current Operations) = 281

The decision with the highest EU is "Keep Current Operations" with an EU of 281.

Therefore, the Final Expected Value using the EVUII method is 281.4

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plz help me in this question​

plz help me in this question

Answers

Answer:

Article 2 is less than Rs.26700.15617

how to solve 19= -37 + 8x

Answers

Answer:

19 = -37 + 8x

-8x= -37 -19

-8x = -56

x= 7

Traditionally, a region is defined as a desert if it receives less than ________ centimeters of rain per year. 15 2 10 25

Answers

Traditionally, a region is defined as a desert if it receives less than 25 centimeters of rain per year. This is based on the fact that deserts are characterized by arid climates, which means that they receive very little rainfall. This lack of water creates a harsh and unforgiving environment that is inhospitable to most forms of life. However, it's important to note that this definition is not set in stone and can vary depending on the context. Some regions with higher rainfall amounts may still be considered deserts due to other factors, such as high evaporation rates and low humidity levels.

The definition of a desert is closely tied to its arid climate, which is characterized by very little rainfall. This lack of water creates a harsh and inhospitable environment that is unsuitable for most forms of life. As a result, the threshold for what is considered a desert is typically set at a certain level of rainfall. Traditionally, this level has been set at less than 25 centimeters per year, although there is some variation depending on the context. Other factors, such as high evaporation rates and low humidity levels, can also contribute to a region being classified as a desert.

In conclusion, a region is traditionally defined as a desert if it receives less than 25 centimeters of rain per year. This definition is based on the fact that deserts are characterized by arid climates, which are created by a lack of water. However, it's important to note that this definition can vary depending on the context and other factors, such as high evaporation rates and low humidity levels, can also contribute to a region being classified as a desert.

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What is the number theory?

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Answer:

the area of mathematics concerned with the characteristics and connections between numbers, particularly positive integers.

Step-by-step explanation:

Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions.

Say, Apple Inc. claims that 21% of all Apple device users own an iPad. If a random sample of 377 Apple device users is selected, what is the Z score if 36% of those sampled own an iPad? Assume the conditions are satisfied. Give your answer correctly rounded to two decimal places.

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In this scenario, Apple Inc. claims that 21% of all Apple device users own an iPad. We are given a random sample of 377 Apple device users and asked to calculate the Z score if 36% of those sampled own an iPad, assuming the conditions are satisfied.

The Z score measures the number of standard deviations a data point is from the mean. It is calculated using the formula: Z = (x - μ) / σ, where x is the observed value, μ is the population mean, and σ is the population standard deviation.

To calculate the Z score in this case, we need to compare the observed proportion (36%) with the claimed proportion (21%). The standard deviation in this case is determined by the population proportion, which is given as 21%.

By substituting the values into the formula, we can calculate the Z score, which represents how many standard deviations the observed proportion is away from the claimed proportion.

The Z score allows us to assess the statistical significance of the observed proportion and determine if it significantly deviates from the claimed proportion.

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