Find the diameter of circle Z if the center has coordinates (0, 2) and
a point on the circle is (3,4).

After calculation, the average salary is 865.8644 thousands of dollars and average tenure is 7.955 years. Number of CEOs who are in their first year as CEO is equal to 5.

Here are the steps in R Studio to perform the tasks:

(a) Finding the average salary and the average tenure in the sample:

Load the CEOSAL2 data set in R Studio using the read.csv function.

       ceos <- read.csv("CEOSAL2.csv")

Calculate the average salary using the mean function:

       average_salary <- mean(ceos$salary)

Calculate the average tenure using the mean function:

average_tenure <- mean(ceos$ceoten)

(b) Finding the number of CEOs in their first year as CEO and the longest tenure as CEO:

Use the sum function and a logical test to count the number of CEOs in their first year as CEO:

first_year_ceos <- sum(ceos$ceoten == 0)

Use the max function to find the longest tenure as CEO:

longest_tenure <- max(ceos$ceoten)

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The retail price of each video game is $33.6

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

Markup rate = 40%

Amount paid = $24

The retail price of each video game can be calculated using the following equation

Retail price = Amount paid * (1 + Markup rate)

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

Retail price = 24 * (1 + 40%)

Evaluate

Retail price = 33.6

Hence, the retail price is $33.6

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Answer:

Below

Step-by-step explanation:

Put ' - 3' into the equation where 'x' is and compute

6 ( 2(-3)^2 -5) =

6 ( 2*9   -5)

6 ( 18-5)

6(13) = 78

The probability that the remaining bill is a $2 bill is approximately 0.2857 or 28.57%.

To solve this problem, we can use conditional probability. Let's denote the events as follows:

A: The wallet initially contains a $2 bill.

B: The wallet initially contains a $20 bill.

C: The bill drawn from the wallet is a $2 bill.

We want to find the probability of Provenience is the horizontal and vertical position of an artifact within the matrix.  A occurring given that event C has occurred, P(A|C).

To begin, let's analyze the given information:

- The wallet either contains a $2 bill or a $20 bill, with equal likelihood. So, P(A) = P(B) = 0.5.

- If the wallet initially contains a $2 bill (event A), the probability of drawing a $2 bill (event C) is 2/3, since there are two $2 bills and one $20 bill in the wallet.

- If the wallet initially contains a $20 bill (event B), the probability of drawing a $2 bill (event C) is 1/2, as there is only one $2 bill left in the wallet.

Now, let's calculate the probability using Bayes' theorem:

P(A|C) = (P(C|A) * P(A)) / P(C)

P(C|A) = 2/3 (probability of drawing a $2 bill given that the wallet initially contains a $2 bill)

P(C) = P(C|A) * P(A) + P(C|B) * P(B) (total probability of drawing a $2 bill)

P(C|B) = 1/2 (probability of drawing a $2 bill given that the wallet initially contains a $20 bill)

P(C) = (2/3 * 0.5) + (1/2 * 0.5) = 1/3 + 1/4 = 7/12

P(A|C) = (2/3 * 0.5) / (7/12)

      = 4/6 / 7/12

      = (4/6) * (12/7)

      = 2/7

Therefore, the chances that the remaining bill in the wallet is a $2 bill, given that a $2 bill was drawn, is 2/7 or approximately 0.2857 (or 28.57%).

So, the probability that the remaining bill is a $2 bill is approximately 0.2857 or 28.57%.

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Answer:

I think its AM not sure tho

Step-by-step explanation:

If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.

In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.

The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.

To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.

Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.

By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.

If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.

If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.

By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.

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Answer:

700

Step-by-step explanation:

The '7' in the number 1273  ..it is in the second place which represents 'tens' so it is equal to    '70'   ten times this amount would be  700.    If you have a list of numbers to choose from.....choose one with the '7' in the THIRD position.

Answer:

x = 60

Step-by-step explanation:

∠ FGC = ∠ AGE = 30° ( vertical angles )

BGD is a straight angle so the 3 angles lying on it sum to 180, that is

x + 30 + 90 = 180

x + 120 = 180 ( subtract 120 from both sides )

x = 60

Answer:

Step-by-step explanation:

D Add 7 to both sides

This makes it 3x=37

x=37/3

The exponential model indicates that plastic production has increased by 4.9% per year.

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Answer:

13) 225

14) 289

15) 64

16) 8

The seventh term of the geometric sequence is -7/32. The nth term of the sequence, a1 is the first term, r is the common ratio, and n is the position of the term

To find the seventh term of a geometric sequence, we can use the formula:

\(an = a1 * r^(n-1),\)

where an represents the nth term of the sequence, a1 is the first term, r is the common ratio, and n is the position of the term we want to find.

In this case, we are given a2 = -7 and r = 1/2.

Using the formula, we can find a1 by substituting n = 2:

a2 = a1 * (1/2)^(2-1).

We know that a2 = -7, so we can rewrite the equation:

-7 = a1 * (1/2)^1,

-7 = a1 * (1/2).

Now, let's solve for a1:

a1 = -7 * (2/1),

a1 = -14.

We have found that the first term, a1, is equal to -14.

Now, we can find the seventh term, a7, by substituting n = 7 into the formula:

a7 = (-14) * (1/2)^(7-1),

a7 = (-14) * (1/2)^6,

a7 = (-14) * (1/64),

a7 = -14/64,

a7 = -7/32.

Therefore, the seventh term of the geometric sequence is -7/32.

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The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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Answer:

f(7) = 16

Step-by-step explanation:

f(7)  

Let x = 7

We use the first part of the function since 7 > 4

3(7) -5

21 -5

16

f(7) = 16

1. The company should use a t-test for the population mean, as we are comparing the mean test score for the sample of applicants supplied by the recruiting firm to the historical mean of 75.2.

2. The set of hypotheses the company should use to answer the research question is: D. H0: μ = 75.2 vs. H1: μ > 75.2

1. The appropriate inference procedure for this scenario is the t-test for a population mean. This is because we are comparing a sample mean (76.85) to a known population mean (75.2) with a known sample standard deviation (9.3). So the correct answer is:

E. t-test for a population mean

2. The company wants to determine if the mean test score for applicants provided by the recruiting firm is higher than the historical mean of 75.2. Therefore, the null hypothesis (H0) should be that the mean test score is equal to 75.2, and the alternative hypothesis (H1) should be that the mean test score is greater than 75.2. The correct set of hypotheses is:

H0: μ = 75.2 (the historical mean)

Ha: μ > 75.2 (the mean for the sample of applicants supplied by the recruiting firm is higher).

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Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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Answer:

Step-by-step explanation:

Cos0 = adj/hyp

cos0 = 40/41

find the inverse cos of that.

0 = cos^-1(40/41)

0 = 12.68

We are given the following function

We are asked to find the output y when the input x is 10

Simply substitute x = 10 into the function and solve for y

Therefore, the output y is -29 when the input x is 10

Answer:

50

Step-by-step explanation:

if im thinking right

im SOO sorrYYy if its wrong

Answer:

2/5 x ? = 4/3?

4/3 / 2/5= ?

Quick method is quick change flip, Change the division sign into multiplication and switch the values in the denominator and numerator of the second fractiom

4/3 x 5/2 = 20/6

simplify to 10/3

x or ? = 10/3

written as a mixed number is is 3 1/3

Step-by-step explanation:

When parking next to a curb, you may not park more than 12 inches away from the curb.

Curb parking refers to the practice of parking a car alongside the road, adjacent to the curb. It is a common method of parking in urban areas where designated parking spaces may be limited. When parking parallel to the road, vehicles are positioned with either the front or back bumper facing the direction of the road.

To ensure safe and efficient use of road space, there are regulations in place regarding curb parking. One important regulation is the requirement to park within a certain distance from the curb. In general, vehicles are not allowed to park more than 12 inches away from the curb.

The purpose of this regulation is to maintain an organized and orderly parking arrangement, allowing for the smooth flow of traffic and the safe passage of pedestrians. By parking close to the curb, vehicles minimize obstruction to other vehicles and ensure that the road remains clear for traffic.

It is essential for drivers to adhere to these parking regulations to avoid fines or penalties and to contribute to the overall safety and functionality of the road.

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Answer:

percentage cost of airfare change= (difference in cost / original cost )×100

% age = (250-180/ 250) ×100

=70/250 ×100

7000/250

= 28%

Answer:

3.5

Step-by-step explanation:

28 days = 4 weeks

28 divided by 4 = 1 week

14 gallons divided by 4 = 3.5

Answer:

p(blue) = 0.2

Step-by-step explanation:

A: "Pick 1 blue marble"

\(n(A)=C^{1}_3\) = 3

n(Ω) = \(C^{1}_{15}\) = 15

p(blue) = n(A)/n(Ω) = 3/15 = 0.2

The probability of selecting a blue marble is 0.20 expressed as a decimal.


To determine the theoretical probability of choosing a blue marble, follow these steps:
 
1. Count the total number of marbles in the bag: 3 blue + 5 red + 7 yellow = 15 marbles.
2. Identify the number of blue marbles: 3 blue marbles.
3. Calculate the probability of choosing a blue marble by dividing the number of blue marbles by the total number of marbles: 3 blue marbles / 15 total marbles.
4. Express this probability as a decimal by dividing 3 by 15: 3 ÷ 15 = 0.2.
5. Round the decimal to the nearest hundredth: 0.2 already falls at the hundredth place.
       
The theoretical probability of choosing a blue marble, expressed as a decimal rounded to the nearest hundredth, is 0.20 or simply 0.2.

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Answer:

The answer is C.

Step-by-step explanation:

You add,, you don't multiply. Both A and B are not choices.

One of C or D is correct.

That r should be an x according to the attachment.

The answer is add 1 to both sides.

3x - 1 = 7

   +1    +1

3x = 8

So you are adding 1 to both sides. The answer is C

The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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