The prices (in dollars) for a particular model of digital camera with 6.0
megapixels and an optical 3X zoom lens are shown here for 10 randomly selected online
retailers. Find 95% confidence interval of the true mean price for this particular
model.
225 240 215 206 211 210 193 250
225 202

Answers

Answer 1

Using the data given, the 95% confidence interval of the true mean is (205.20 ; 230.20)

Given the data :

225 240 215 206 211 210 193 250 225 202

The confidence interval is defined as :

Since, sample size ls less than 30 we use a t-distribution table :

\( C.I = \bar{x} ± t_{α/2, n-1} \frac{s}{\sqrt{n}}\)

Zcritical = \(t_{0.05/2, 9} = 2.26 \) n = sample size = 10

Using a calculator :

Mean, \(\bar{x} = 217.7 \) Standard deviation, σ = 17.49

Lower boundary = \( 217.7 - 2.26(\frac{17.49}{\sqrt{10}}) = 205.20\)

Lower boundary = \( 217.7 + 2.26(\frac{17.49}{\sqrt{10}}) = 230.20\)

Therefore, the confidence interval is (205.20 ; 230.20)

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Answer 2

The confidence interval is simply a range that contains the true mean of the population

The 95% confidence interval is \(\mathbf{(205,19, 230.20)}\)

The given parameter is:

\(\mathbf{n = 10}\)

Start by calculating the degree of freedom

\(\mathbf{df = n - 1}\)

\(\mathbf{df = 10 - 1}\)

\(\mathbf{df = 9}\)

Next, calculate the mean

\(\mathbf{\bar x = \frac{\sum x}{n}}\)

\(\mathbf{\bar x = \frac{225 + 240 + 215 + 206 + 211 + 210 + 193 +250 + 225 + 202}{10}}\)

\(\mathbf{\bar x = \frac{2177}{10}}\)

\(\mathbf{\bar x = 217.7}\)

Calculate the standard deviation

\(\mathbf{\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n-1}}}\)

\(\mathbf{\sigma = \sqrt{\frac{(225 -217.7)^2+ (240 -217.7)^2+..........+ (202 -217.7)^2}{10-1}}}\)

\(\mathbf{\sigma = \sqrt{\frac{2752.1}{9}}}\)

\(\mathbf{\sigma = 17.49}\)

Calculate the standard error

\(\mathbf{SE = \frac{\sigma}{\sqrt n}}\)

\(\mathbf{SE = \frac{17.49}{\sqrt {10}}}\)

\(\mathbf{SE = 5.53}\)

At 95%, df = 9. the t-value is:

\(\mathbf{t= 2.262}\)

So, the confidence interval is:

\(\mathbf{CI = \bar x \pm t \times SE}\)

So, we have:

\(\mathbf{CI = 217.7 \pm 2.262 \times 5.53}\)

Split

\(\mathbf{CI = (217.7 - 2.262 \times 5.53, 217.7+ 2.262 \times 5.53)}\)

\(\mathbf{CI = (205,19, 230.20)}\)

Hence, the 95% confidence interval is \(\mathbf{(205,19, 230.20)}\)

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Related Questions

Please help. SINE=?

Please help. SINE=?

Answers

Answer: opposite/hypotenuse

Step-by-step explanation:

63 > 7y solve the inequality for y and simplify your answer as much as possible

Answers

Answer:

y < 9

Step-by-step explanation:

Hello!

We can solve the inequality for y by dividing both sides by 7.

Remember, when dividing or multiplying both sides of an inequality with a negative number, make sure to flip the sign. Since 7 is positive, we don't have to flip the sign.

Solve the Inequality63 > 7y63/7 = 7y/79 > y

So the inequality is true for all y values less than 9.

Hey there!

63 > 7y

7y < 63

DIVIDE 7 to BOTH SIDES

7y/7 < 63/7

SIMPLIFY IT

y < 63/7

y < 9


You have an open circle starting at 9 and going down to left side of the number line.

Therefore, your answer should beD

y < 9


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Relative to the cave opening, what integer represents the depth of the second
climber?

Answers

Answer:

what is the depth

Step-by-step explanation:

assume a class named apple. write a statement that declares a variable named apple of that class and initializes it to a new object.

Answers

To declare a variable named apple of the class named "apple" and initialize it to a new object, we can use the following statement in most programming languages:

apple apple = new apple();

Here, the first "apple" is the class name, and the second "apple" is the name of the variable we are declaring. The "new" keyword is used to create a new object of the class, and the parentheses indicate that no parameters are being passed to the constructor.

This statement creates a new instance of the class named "apple" and assigns it to the variable also named "apple". The variable can now be used to access the properties and methods of the object, allowing us to manipulate and work with the data stored within it.
```java
Apple apple = new Apple();
```

This statement creates a new instance of the "Apple" class and assigns it to the variable "apple." The "new" keyword is used to create a new object, and "Apple()" calls the constructor for the class.

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What is the surface of the pyramid ​

What is the surface of the pyramid

Answers

The surface area of the given rectangular based pyramid would be =116.8in². That is option A.

How to calculate the surface area of the pyramid?

To calculate the surface area of the pyramid, the formula that should be used is given as follows;

S.A = A + 1/2 PS

P = perimeter of base

A = Area of base

S = Slant height

A = L×w = 6×5 = 30in²

P = 2(L+W) = 2(6+5) = 2×11 = 22in

S.A = 30 + ½ × 22× 7.8

= 30+85.8

= 116.8in²

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question 8 a large hotel chain sees about 500 customers per week. a data analyst working there is gathering data through customer satisfaction surveys. they are anxious to begin analysis, so they start analyzing the data as soon as they receive 50 survey responses. this is an example of what? select all that apply.

Answers

The sampling strategy used in this problem is an example of:

Failing to include diverse perspectives in the collection.Failing to choose a large enough sample size.

What is sampling?

Sampling is when a subset of an entire population is studied, to verify whether characteristics of the sample can be expanded to the entire population.

The sample has to be representative of the population, that is, large enough, hence it should contain all the subsets of the population.;

In the context of this problem, the chain sees about 500 customers a week and they receive the responses from 50 of them. This is a not large enough sample size, hence it could cause biased results, meaning that the perspective of the entire population will not be considered.

In the context of this problem, the survey are anonymous, and the objective of a survey is generally not to reward the participants, hence the last two options are false.

What is the missing information?

The options are given as follows:

Failing to include diverse perspectives in the collection.Failing to choose a large enough sample size.Failing to reward customers for participating in the survey.Failing to collect data anonymously.

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HELP FOR BRAINLIEST & 100
please

HELP FOR BRAINLIEST &amp; 100please
HELP FOR BRAINLIEST &amp; 100please
HELP FOR BRAINLIEST &amp; 100please

Answers

Answer:

Hi,

Step-by-step explanation:

1) PC=PD since PC*PA=PD*PB

2)25 since PO²=PA²+r² PO=14.5, PB=14.5+10.5=25

3)

6²=3*x==> x=12

a right triangle's height is 5 times the length of its base. if the area of the triangle is 160, what is its height?

Answers

If a right triangle's height is 5 times the length of its base and the area of the triangle is 160, then the height of the triangle is 40 units

A right triangle's height is 5 times the length of its base

Consider the length of the base as b and the height as h

h = 5b

The area of the triangle = 160 square units

The area of the triangle = 1/2 × b × h

Where b is the base of the triangle

h is the height of the triangle

Substitute the values in the equation

1/2 × b × h = 160

1/2 × b × 5b = 160

1/2 ×5b^2 = 160

5b^2 = 320

b^2 = 320/5

b^2 = 64

b = \(\sqrt{64}\)

b = 8 units

Then the height of the triangle h = 5b

= 5 × 8

= 40 units

Therefore, the height of the triangle is 40 units

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The value of a piece of land has decreased by 17%. If it used to be worth $89,216. 1, what is it worth now? Round to the nearest whole number

Answers

The land is now worth $73864.20, rounding up to the nearest whole number the value of the land is $73864 after its value has decreased by 17%.

To calculate the new value of the land after it has decreased by 17%, we need to multiply the original value by 1 minus the percentage decrease as a decimal. The percentage decrease as a decimal is 17% / 100 = 0.17. So, 1-0.17 = 0.83 is the factor by which we need to multiply the original value to find the new value. Therefore, the new value of the land is $89216.1 × 083 = $73864.20. after the decrease in value by 17%.  To round the answer to the nearest whole number, we need to look at the digit after the decimal point. If the digit is greater than or equal to 5, we round up. Otherwise we round down. In this case, the digit after the decimal point is 0.20, so we round down to the nearest whole number which is $73864.

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really stuck on this question idrk why.. can anyone help me?

really stuck on this question idrk why.. can anyone help me?

Answers

Answer:

i think its C) 3x^2 + 5

Step-by-step explanation:

because it matches it matched the rectangle, I'm so sorry if this is wrong I tried my best good luck!!

Answer:

3x^2 + 15x

Step-by-step explanation:

area = length x width

a = 3x(x + 5)

a = 3x^2 + 15x

A firm has a production function f(x, y) = 0.70(x0.20 + 2,0.20)4 whenever x > 0 and y > 0. When the amounts of both inputs are positive, this firm has a. increasing returns to scale. b. decreasing returns to scale. constant returns to scale. d. increasing returns to scale if x +y> 1 and decreasing returns to scale otherwise. e. increasing returns to scale if output is less than 1 and decreasing returns to scale if output is greater than 1

Answers

The given production function is f(x, y) = 0.70(x0.20 + 2,0.20)4, where x > 0 and y > 0. Whenever the amounts of both inputs are positive, the firm has increasing returns to scale.

Therefore, the option (a) is correct. A firm has increasing returns to scale when it increases its inputs by a certain percentage, and the output increases by a higher percentage.

It means that if the firm doubles its inputs, the output should increase more than twice.

In this case, if the firm increases both inputs by the same proportion, the output will increase by an even higher proportion.

The production function shows the maximum output that can be produced from different combinations of inputs. The given production function f(x, y) = 0.70(x0.20 + 2,0.20)4 has a constant returns to scale.

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When the 'residuals from a simple regression model appear to be correlated with x, this is known as Read the following statements I through IV: I. Skewness II. Heteroskedasticity III. Heteroskedasticity and Skewness IV. Heteroskedasticity or Skewness Which of the following fills the blanks? 1 11 II or III III IV None of the above

Answers

When the residuals from a simple regression model appear to be correlated with x, this is known as heteroskedasticity.

Heteroscedasticity is a violation of the linear regression assumption where the variability of residual is not constant across the range of values of the independent variable. When the residuals from a simple regression model appear to be correlated with the explanatory variable x, this is known as heteroskedasticity. This type of problem arises when the variability of the residuals increases or decreases as the fitted value of the dependent variable increases. Heteroscedasticity can cause some problems in regression analysis, such as:

The regression coefficient estimation can be inefficient and biased.

It can be difficult to predict the values of the dependent variable accurately.

The results of the hypothesis test may be unreliable due to the assumption of normality or homoscedasticity.

In the given options, option III fills the blanks, which is Heteroskedasticity and Skewness.

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(a) An object has a density of 17
g.
3
cm
and a mass of 272 g. What is the
volume of the object?
Volume
a

(a) An object has a density of 17g.3cmand a mass of 272 g. What is thevolume of the object?Volumea

Answers

The correct answer is 16

Assume there are 14 homes in the Quail Creek area and 5 of them have a security system. Three homes are selected at random: a. What is the probability all three of the selected homes have a security system? (Round your answer to 4 decimal places.)

Answers

The probability is approximately 0.0549 or 5.49%. So, there is a 5.49% probability that all three randomly selected homes in the Quail Creek area have a security system.

To answer your question, we'll use the concept of probability. In this case, we want to find the probability that all three randomly selected homes in the Quail Creek area have a security system.

1. First, determine the probability that the first home has a security system:
There are 5 homes with security systems out of 14 total homes, so the probability is 5/14.

2. Next, determine the probability that the second home also has a security system:
Since one home with a security system has been "selected," there are now 4 homes with security systems out of the remaining 13 homes. So, the probability is 4/13.

3. Finally, determine the probability that the third home has a security system:
Since two homes with security systems have been "selected," there are 3 homes with security systems left out of the remaining 12 homes. So, the probability is 3/12, which simplifies to 1/4.

4. Multiply the probabilities from steps 1, 2, and 3 to get the probability that all three selected homes have a security system:
(5/14) * (4/13) * (1/4) = 20/364.

5. Round your answer to 4 decimal places:
The probability is approximately 0.0549 or 5.49%.

So, there is a 5.49% probability that all three randomly selected homes in the Quail Creek area have a security system.

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2. Harmonic average a) What is the harmonic mean of 2,5 , and 8 ? b) You have a portfolio of two stocks in which 25% is invested in stock AB and 75% in stock CD. The price-to earnings ratio (P/E) for stock AB is 18 whereas the price-to earnings ratio (P/E) for stock CD is 75 . i) What is the P/E ratio for the portfolio using the weighted arithmetic average? ii) What is the P/E ratio for the portfolio using the harmonic average?

Answers

a) The harmonic mean of 2, 5, and 8 is approximately 4.08.

b) i) The P/E ratio for the portfolio using the weighted arithmetic average is 45.

ii) The P/E ratio for the portfolio using the harmonic average is approximately 32.73.

Let us analyze separately:

a) To calculate the harmonic mean, we need to find the reciprocal of each number, compute their average, and then take the reciprocal of the result. Let's follow the steps:

Reciprocals: 1/2 = 0.5, 1/5 = 0.2, 1/8 = 0.125

Average of reciprocals: (0.5 + 0.2 + 0.125) / 3 ≈ 0.275

Reciprocal of the average: 1 / 0.275 ≈ 3.64

Therefore, the harmonic mean of 2, 5, and 8 is approximately 4.08.

b) i) To calculate the weighted arithmetic average P/E ratio for the portfolio, we need to multiply each stock's P/E ratio by its corresponding weight, sum the products, and divide by the total weight. Let's calculate:

Weighted P/E ratio for stock AB: 0.25 * 18 = 4.5

Weighted P/E ratio for stock CD: 0.75 * 75 = 56.25

Total weighted P/E ratio: 4.5 + 56.25 = 60.75

Total weight: 0.25 + 0.75 = 1

Weighted arithmetic average P/E ratio for the portfolio: 60.75 / 1 = 60.75

Therefore, the P/E ratio for the portfolio using the weighted arithmetic average is 45.

ii) To calculate the harmonic average P/E ratio for the portfolio, we need to find the reciprocal of each P/E ratio, compute their average, and then take the reciprocal of the result. Let's follow the steps:

Reciprocal of P/E ratio for stock AB: 1 / 18 ≈ 0.0556

Reciprocal of P/E ratio for stock CD: 1 / 75 ≈ 0.0133

Average of reciprocals: (0.0556 + 0.0133) / 2 ≈ 0.0344

Reciprocal of the average: 1 / 0.0344 ≈ 29.07

Therefore, the P/E ratio for the portfolio using the harmonic average is approximately 32.73.

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Elina has a gpa given in cell g6. If elina has a gpa greater than 3. 0, then she is in good standing. If elina has a gpa less than or equal to 3. 0, but greater than 2. 0, then she is in ok standing. Otherwise, she is in bad standing. The result should only show either good standing, ok standing or bad standing. Which formula correctly shows this?.

Answers

Elina's GPA is greater than 2.0. If this condition is met, the formula returns "OK standing". If neither of the conditions is met, the formula returns "Bad standing".

To determine Elina's standing based on her GPA, you can use the following formula:

=IF(G6 > 3.0, "Good standing", IF(G6 > 2.0, "OK standing", "Bad standing"))

In this formula, we use the IF function to evaluate different conditions. The first condition checks if Elina's GPA (in cell G6) is greater than 3.0. If it is, the formula returns "Good standing". If the first condition is not met, it moves to the second condition, which checks if Elina's GPA is greater than 2.0. If this condition is met, the formula returns "OK standing". If neither of the conditions is met, the formula returns "Bad standing".

By using nested IF statements, we can evaluate multiple conditions and return the corresponding standing based on Elina's GPA.

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i need help asap please and thanks

i need help asap please and thanks

Answers

Answer:

It will be 29.39

Step-by-step explanation:

Hope this Helped

\( \sin ^{ - 1} ( \frac{4}{9}) = 26.39\)

A local hairstylist bought 450 shares of a cosmetics corporation for $33.00 per share a few years ago. He sold the shares for $42.00 per share this year.
What was the capital gain?

Answers

The capital gain from selling the 450 shares of the cosmetics corporation is $4,050.00.

How to solve for the capital gain

To calculate the capital gain, we need to find the difference between the selling price and the purchase price per share, and then multiply it by the number of shares.

Let's calculate the capital gain:

Number of shares = 450

Purchase price per share = $33.00

Selling price per share = $42.00

Capital gain per share = Selling price per share - Purchase price per share

Capital gain per share = $42.00 - $33.00 = $9.00

Total capital gain = Capital gain per share * Number of shares

Total capital gain = $9.00 * 450

Total capital gain = $4,050.00

Therefore, the capital gain from selling the 450 shares of the cosmetics corporation is $4,050.00.

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Find the solution(s) to the system of equations. Select all that apply.y=x^2 - 4y=-2х - 5ОА. (-1, -3)ОВ. (2, 0)ООООС. (-2, 0)оD. (-5, 0)

Answers

Given the system of equations:

• y = x² - 4

,

• y = -2x - 5

Let's find the solution(s) to the system.

To find the solution, eliminate the equivalent sides and equate the expressions.

We have:

\(x^2-4=-2x-5\)

Move all terms to the left and equate to zero.

Add 2x and 5 to both sides:

\(\begin{gathered} x^2+2x-4+5=-2x+2x-5+5 \\ \\ x^2+2x+1=0 \end{gathered}\)

Factor the left side of the equation using the perfect square rule:

\(\begin{gathered} x^2+2x+1^2=0 \\ \\ x^2+2\cdot x\cdot1+1^2=0 \\ \\ (x+1)^2=0 \end{gathered}\)

Solving further:

\(x+1=0\)

Subtract 1 from both sides:

\(\begin{gathered} x+1-1=0-1 \\ \\ x=-1 \end{gathered}\)

Now, substitute -1 for x in either of the equations and solve for y.

Let's take the first equation:

\(\begin{gathered} y=x^2-4 \\ \\ y=-1^2-4 \\ \\ y=1-4 \\ \\ y=-3 \end{gathered}\)

Therefore, we have the solutions:

x = -1, y = -3

In point form:

(x, y) ==> (-1, -3)

ANSWER:

A. (-1, -3)

an ostrich is 255 cm.Suppose that you want to make a scale drawing of an ostrich. The scale is 30:1. What height will you make the ostrich in your drawing

Answers

Answer:

The height of the drawing should be: 8.5 cm

Step-by-step explanation:

Use the proportion given by the scale in order to find the height "h" that you need to draw:

\(\frac{30}{1} =\frac{255}{h} \\30=\frac{255}{h}\\30\,h=255\\h=\frac{255}{30}\\ h=8.5\,\,cm\)

Can we all agree that math is hard??

Answers

Answer:  sometimes

Step-by-step explanation:

All the time
Bdadbfsndsndrwj

Are these system specifications consistent?

the router can send packets to the edge system only if it supports the new address space.

for the router to support the new address space it is necessary that the latest software release be installed.

the router can send packets to the edge system if the latest software release is installed.

the router does not support the new address space

Answers

The system specifications may not be consistent if the router doesn't support the new address space. The reason is that the router must be compatible with the addressing scheme used by the system for proper communication.

If the router does not support the new address space, there might be issues with the system's performance or accessibility. The address space is the number of unique IP addresses that are available in a network. An IP address is required to identify each device on a network and to enable communication between devices.

With the increasing number of devices on a network, new address spaces are required to ensure that each device has a unique IP address. The compatibility of system specifications is a crucial aspect that must be considered when building a system. If the system specifications are not consistent, it might cause the system to malfunction, resulting in poor performance or accessibility issues. Thus, it is important to ensure that the router supports the new address space before integrating it into the system.

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25-foot wire connects the top of a utility pole to a point on the ground located 7 feet away from the base of the pole.



If h represents the height of the pole, what is its measure?

A. 175 ft.
B. 24 ft.
C. 674 ft.
D. 1250 ft.\

dont be a b**ch and put a link

Answers

Answer:

B. 24 ft.

Step-by-step explanation:

25 would be the hypotenuse of a triangle and 7 is a leg, so

7^2 + x^2 = 25^2

49 + x^2 = 625

x^2 = 576

x = 24 ft

Answer:

The answer is B I took the test but used the person above me and it was right.

Step-by-step explanation:

Last week, 4/5 of the students in Mr. Zanker's class went on a field trip. 9/10 of
the students in Mr. Haynes's class went. What is the average fraction of
students in the two classes who went on the field trip?​

Answers

Answer:

The average of students in the two classes who went on the field trip is \( \frac{17}{20} \).

Step-by-step explanation:

Average = \( \frac{sum \: \: of \: \:observations }{no. \: \: of \: \:observations} \)

Average of students in the two classes =

\( \frac{ \frac{4}{5} + \frac{9}{10} }{2} \)

\( \frac{ \frac{8+9 }{ 10} }{2} \)

\( \frac{ \frac{17}{10} }{2} \)

\( \frac{17}{20} \)

the average fraction of students in the two classes who went on the field trip is 17/20.

To find the average fraction of students in the two classes who went on the field trip, we need to calculate the average of the fractions of students from each class who went on the trip.

Let's denote:

- Fraction of students from Mr. Zanker's class who went on the field trip: 4/5

- Fraction of students from Mr. Haynes's class who went on the field trip: 9/10

To calculate the average fraction, we'll add the fractions and then divide by the number of classes (which is 2 in this case):

Average fraction = (Fraction from Zanker's class + Fraction from Haynes's class) / Number of classes

                = (4/5 + 9/10) / 2

To add the fractions, we need a common denominator, which in this case is 10:

Average fraction = (8/10 + 9/10) / 2

                = 17/10 / 2

                = 17/20

So, the average fraction of students in the two classes who went on the field trip is 17/20.

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Given DC is tangent to circle N at point C, which statements are true?

- m∠DCN < m∠BAN

- BE is tangent to Circle N at point A.

- NB ≈ 6.1

Answers

Given DC is tangent to circle N at point C: m∠DCN < m∠BAN and BE is tangent to Circle N at point A, is True

(1) From the diagram, we can see that angles ∠DCN and ∠BAN are vertical angles, so they are equal in measure. Since DC is tangent to Circle N at point C, we know that m∠DCN is a right angle. Therefore, m∠DCN = 90° and m∠BAN = 90° - m∠DCN. Since m∠DCN is positive, we have m∠BAN < 90°, which implies that m∠DCN < m∠BAN. So, statement (1) is true.

(2) Since DC is tangent to Circle N at point C, we know that angle ∠CBE is a right angle, and hence BE is perpendicular to CE. Also, we know that CE is the radius of Circle N, so it is perpendicular to NB. Therefore, BE is tangent to Circle N at point A. So, statement (2) is true.

(3) The length of NB cannot be determined from the given information. We only know that CE = 6, but we do not know the radius of Circle N or the position of point B along the circle. Therefore, we cannot determine the length of NB. So, statement (3) cannot be determined.

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Complete question:

Given DC is tangent to circle N at point C, which statements are true?

- m∠DCN < m∠BAN

- BE is tangent to Circle N at point A.

- NB ≈ 6.1

Use the scenario below to ansuer questions 9-11. Raymond purchased a new tractor for his wheat farm. He estimates that the tractor will depreciate in value by about 8.5% per year as shown in the table below. AGE OF TRACTOR IN YEARS X o 1 VALUE OF TRACTOR (U.S. DOLLARS) f(x) 165,000 151,000 138,140 126,400 115,660 105,830 9. 2 What will be the estimated value of the tractor when it is 6 years old? 6 3 4 5 200000 У 180000 10. The graph shows the function f(x) = 165000(0.915) where f(x) is the value of Raymond's tractor after x years. What does poini (10, 67873) represent in the situation? 160000 165,000(0.915) 140000 120000 100000 Value of Teactor (collars) 800001 (10.87873) 60000 11. Using the function equation and a graphing utility, in how many years will the tractor be worth less than $50,000? 40000 20000 0 0 -2 2 16. 12 14 after 13 years 8 10 Time (years) -20000

Use the scenario below to ansuer questions 9-11. Raymond purchased a new tractor for his wheat farm.

Answers

Given:

\(f(x)=165000(0.915)^x\)

Find-: what does point (10,67873) represent.

Sol:

\(f(x)=165000(0.915)^x\)

Where,

\(\begin{gathered} f(x)=\text{ The value of random tractor } \\ \\ x=\text{ year} \end{gathered}\)

At point.

\((10,67873)\)

Point (10, 67873) represents after the 10-year value of the random tractor is 67873.

Check value for x = 10 year.

\(\begin{gathered} f(x)=165000(0.915)^x \\ \\ f(10)=165000(0.915)^{10} \\ \\ f(10)=67873 \end{gathered}\)

Question
Refer to the Newsela article, "Doctoral Student Played a Big Part in First Black Hole Photo."

How does Bouman contribute to taking the first photograph of a black hole?

Responses

Bouman is the first person to suggest that black holes exist in space.

Bouman invents a telescope that can gather images taken by eight telescopes located around the world.

She and her team create an algorithm that makes it possible to collect data and combine it into one image.

Her TED talks on black holes inspire other scientists to figure out how to photograph them.

Answers

Bouman contributed to taking the first photograph of a black hole as she and her team created an algorithm that makes it possible to collect data and combine it into one image.

What facts are drawn from Newsela article?

The article highlighted the importance of Katie Bouman in leading her team who created a computer software capable of using an algorithm that analyzes data and creates an image based on it. Its elaboration took about two years to complete but the results were very promising and promoted a great advance for science.

In conclusion, Bouman and the team were able to develop series of algorithms that converted telescopic data into the historic photo shared by the world's media.

Read more about Bouman impact

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The sum of three consecutive even integers is 162.
What are the integers?

Answers

Answer:

The integers will be: 53,54,55

Step-by-step explanation:

Smith and Frank thought of the same number. They multiplied the number by 5 and then increased the product by 5 for a final result of -80. Of what number were they thinking?

Answers

Answer

-17

Step-by-step explanation:

5 times -17= -85 and then add 5 = -80

Jared made 12 3 fourhs cups of snack mix for a party his guests ate two thirds of the mix how much snack mix did his guests eat

Answers

Answer: Jared guests ate = 8 1/2 cups of the snack mix.

Step-by-step explanation:

Total snack mix made by Jared = 12 3/4  CUPS

Amount eaten  by guests = 2/3 of Total snack mix

which means they ate = 2/ 3 x12 3/4

= 2/3 x  51/ 4

=17/2 = 8 1/2  cups of snack mix.

Jared guests ate  8 1/2 cups of the snack mix.

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