Mrs. Frank asks four of her students to measure four different objects. Here are the results.

Which student had the greatest percent error?

Answers

Answer 1

The student that has the greatest percent error is Ebony.

How to calculate the percentage error?

The percentage error will be calculated as:

= Change in value / Initial values × 100

From the table, we can see that Ebony had the greater difference in values. This will be illustrated as:

= (Measured length - Actual length) / Actual length × 100

= (2.1 - 1.6)/1.6 × 100

= 0.5 / 1.6 × 100

= 31.25%

Ebony had the higher percentage error.

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Mrs. Frank Asks Four Of Her Students To Measure Four Different Objects. Here Are The Results.Which Student

Related Questions

please help!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

I believe the answer is D!

What is the relationship between the two highlighted angles?

Answers

Angles 1 and 2 are remote interior angles while angle 3 exists as a remote exterior angle. The required relationship between the angles 1, 2, and 3 is ∠1 +∠2 = ∠3.

What is meant by triangle?

The triangle exists a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°.

A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon. There are three sides and three angles in every triangle, some of which may be the same.

Angles 1 and 2 are remote interior angles while angle 3 exists as a remote exterior angle. So there exists a property of a triangle in that the sum of the remote interior angles exists equivalent to the remote exterior angle.

∠1 +∠2 = ∠3.

Therefore, the required relationship between the angles 1, 2, and 3 is ∠1 +∠2 = ∠3.

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4. multiple choice: as the sample size n increases, the distribution of sample means: a. becomes narrower b. remains constant c. becomes wider 5. multiple choice: according to the central limit theorem, the mean of the sample means is: a. less than the population mean b. the same as the population mean c. more than the population mean 6. multiple choice: according to the central limit theorem, the standard deviation of the sample means is: a. less than the population standard deviation b. the same as the population standard deviation c. more than the population standard deviation

Answers

The population mean, exists even comprehended as the average or mean of all values in a population, exist determined by summing all population values and dividing that total by the number of population values.

What is meant by the population mean?

The population mean can be determined by dividing the total number of values in the given data/population by the sum of all values in the data/population. The whole sum of the numbers is referred to as summation. The sign μ stands for the population mean.

The population mean, also known as the average or mean of all values in a population, is determined by summing all population values (represented by the symbol X) and dividing that total by the number of population values (represented by the symbol N).

Therefore, the correct answer is option a. less than the population mean.

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in the graph, the coordinate point (4,-9) is ____in the graph, the coordinate point (1,0) is ____in the graph, the coordinate point (7,0) is ____in the graph, the coordinate point (4,0) is ____the options: an x-intercept, a y-intercept, a vertex, on the line of symmetry

Answers

Answer:

In the graph, the coordinate point (4,-9) is a vertex

In the graph, the coordinate point (1,0) is an x-intercept

In the graph, the coordinate point (7,0) is an x-intercept

In the graph, the coordinate point (4,0) is on the line of symmetry.

Explanation:

The x-intercepts are the points where the parabola crosses the x-axis, so the coordinates of the x-intercepts are (1, 0) and (7, 0)

The y-intercept is the point where the parabola crosses the y-axis, so the y-intercept is (0, 7)

The vertex is the minimum point of the parabola, in this case, (4, -9).

The line of symmetry depends on the first coordinate of the vertex, so the line of symmetry is x = 4. It means that any point with a first coordinate equal to 4 is on the line of symmetry.

Then, the answers are:

In the graph, the coordinate point (4,-9) is a vertex

In the graph, the coordinate point (1,0) is an x-intercept

In the graph, the coordinate point (7,0) is an x-intercept

in the graph, the coordinate point (4,0) is on the line of symmetry.

You had $30 yesterday. You spent 20% of it today. How much money do you have left?

Answers

ANSWER

$24

EXPLANATION

You had $30 yesterday and you spent 20% of it today.

Since you spent 20% of it, the percentage you will have left is:

100 - 20 = 80%

So, you have 80% of $30.

That is:

[tex]\frac{80}{100}\cdot\text{ 30 = \$24}[/tex]

You have $24 left.

Which of the following values are solutions to the
inequality 9 ≤ 3x +4?
I. - 7
II. 8
III. 2

Answers

Answer:

II. 8

III. 2

Step-by-step explanation:

Solving an inequality

9 ≤ 3x +4

Subtract 4 from each side

9-4 ≤ 3x +4-4

5 ≤ 3x

Divide each side by 3

5/3 ≤ 3x/3

5/3 ≤ x

x must be greater than or equal to 5/3

I. - 7  this is not greater than or equal to 5/3

II. 8   this is  greater than or equal to 5/3

III. 2 this is  greater than or equal to 5/3

f(x)=6x^2+11 inverse

Answers

Answer:

√6(x−11)/6

Step-by-step explanation:

f^−1(x)=√6(x−11)/6

What are some organizations in the college Edward waters university?

Answers

Organizations in College Edward Waters University include

Accounting ClubEconomics ClubDelta Sigma Pi, Theta Omega ChapterGraduate Business Student Association (GBSA)Hilltop American Marketing AssociationWhere is the college Edward waters university?

College Edward waters university was the first independent higher institution and  black college located in Florida state of the United States of America.

The institution was found in 1866 in Jacksonville, Florida. It is owned by African Methodist Episcopal Church which is a Christian denomination.

Organizations refers to arrangement where people come together for a defined purpose. Organizations so exist in this high institution of learning

Delta Sigma Pi, Theta Omega Chapter is one of the organizations in this institution. The purpose of this organization is aid students in studying business in several ways and financial aids is one of them.

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What is the total amount of the monthly payments for a $6,100, two-year loan with an APR of 5%? Round to the nearest dollar.

Answers

Based on the amount of the loan, and the number of periods as well as the APR, the total amount of the monthly payment would be $6,423.

How to find the total monthly payments?

The monthly payments for the loan would be constant so they can be considered to be annuities.

The value of these annuities would be:

Present value of annuity = Annuity x ( 1 - (1 + rate)^-number of periods) / rate

6,100 = Annuity x (1 - (1 + 5%/12)⁻⁽²ˣ¹²⁾ / 0.05/12)

Annuity = 6,100 / 22.793898393955992921598741250451

= $267.62

The total monthly payment is:

= 267.62 x 12 x 2 years

= $6,423

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My friend sandy bought 3 pair of jeans and 7 shirts for $60. my friend dan bought 2 pair of jeans and 3 shirts for $30. what are the prices for jeans and shirts?

Answers

The prices for jeans and shirts are $6 and $6

Calculations and Parameters

Given that:

3 pairs of jeans and 7 shirts for $60.

And 2 pairs of jeans and 3 shirts for $30.

Let jeans be x

Let shirts be y

3x + 7y = 60.... eq 1

2x + 3y = 30...... eq 2

Let us make x the subject formula from equation 2

2x = 30-3y

x= (30-3y)/2..... eq 3

Put the value of x into equation 1

3 * (30-3y)/2 + 7y = 60

(90- 9y)/2 + 7y = 60

45 - 4.5y + 7y = 60

2.5y =15

y = 6

Then, put the value of y into eq 3

x= (30-3(6))/2

x= 15 - 9

x= 6

Hence, we can see that the values of x and y are 6 apiece.

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Answer:

yeah it's correct , very much well

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!

Which box-and-whisker plot matches the data?

5, 8, 4, 2, 5, 9, 7, 12, 4, 3
A.
A box and whisker plot is shown above a number line that extends from 0 to 20 with 1 unit markings. The box extends from 4 to 8, with the median at 6. There is also a point marked at six. The whisker on the left extends from 2 to 4. The whisker on the right extends from 8 to 12.

B.
A box and whisker plot is shown above a number line that extends from 0 to 20 with 2-unit markings. The box extends from 4 to 8, with the median at 7. There is also a point marked at 7. The whisker on the left extends from 2 to 4. The whisker on the right extends from 8 to 12.

C.
A box and whisker plot is shown above a number line that extends from 0 to 20 with 1-unit markings. The box extends from 2 to 12, with the median at 5. There are points marked at 2, 5, and 12.

D.
A box and whisker plot is shown above a number line that extends from 0 to 20 with 1-unit markings. The box extends from 4 to 8, with the median at 5. There is also a point marked at 7. The whisker on the left extends from 2 to 4. The whisker on the right extends from 8 to 12.

Answers

The box plot that matches the data is a box and whisker plot is shown above a number line that extends from 0 to 20 with 1-unit markings. The box extends from 4 to 8, with the median at 5. There is also a point marked at 7. The whisker on the left extends from 2 to 4. The whisker on the right extends from 8 to 12.

What is a box and whisker plot?

A box and whisker plot is a graph that is made up of two lines and a box. The two lines are known as whiskers. The end of the first whisker is the minimum value and the end of the second whisker is the maximum value.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

The data : 2, 3, 4, 4, 5, 5, 7, 8, 9, 12

Minimum = 2 Maximum = 12 First quartile = 1/4 x (10 + 1) = 5.5 term = 3.5Median = 5Third quartile = 3/4 x (10 + 1) = 8.25 term = 8

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elmo makes sandwiches for a fundraiser. for each sandwich he uses globs of peanut butter at per glob and blobs of jam at per blob. the cost of the peanut butter and jam to make all the sandwiches is . assume that , , and are positive integers with . what is the cost of the jam elmo uses to make the sandwiches?

Answers

The cost of the jam Elmo uses to make the sandwiches =$1.65

What is the cost of the jam Elmo uses to make the sandwiches?

B globs of Peanut butter at 4 cents = 4B

J blobs of Jam at 5 cents = 5J

The number of sandwiches is given by the linear equation,

N(4B + 5J ) =$ 2.53

N(4B + 5J ) = 253 cents    ---(1)

The factors of 253 = 1, 11, 23, 253.

Since N > 1 , N is 11 or 23

Considering N = 11

11(4B + 5J ) = 253

4B + 5J  = 23   ---(2)

The possible values of B and J to satisfy the linear equation:

B = 2 and J = 3

Substituting B and J in (2)

4B + 5J  = 23

4 (2) + 5(3) = 23

8 + 15 = 23

23 = 23

The linear equation is verified.

The cost of jam Elmo uses to make the sandwiches =N( 5J)

                                                                                       =11 (5*3)

                                                                                       = 11 *15

                                                                                        = 165 cents or $1.65

The complete question is:

elmo makes N sandwiches for a fundraiser. for each sandwich he uses B globs of peanut butter at 4 cents per glob and J blobs of jam at 5 cents per blob. the cost of the peanut butter and jam to make all the sandwiches is $2.53. assume that B, J, and N are positive integers with N>1. what is the cost of the jam elmo uses to make the sandwiches?

What is a linear equation?

Equations for straight lines are known as linear equations.As a one-degree equation, it also goes by that name. When an algebraic equation is graphed, a linear equation always produces a straight line since each term has an exponent of 1. In one variable and two variables, respectively, there are linear equations.

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Either by striding 80cm or by striding 70cm Anne takes an exact number of steps to cross the road find the least width of the road in meters

Answers

Exact number of steps taken by Anne to cross the road either by striding 80cm or by striding 70cm , then the least width of the road is equal to 5.6meters.

As given in the question,

Anne takes exact number of steps to cross the road either by striding 80cm or by striding 70cm.

Conversion of the units

1 meter = 100 centimeters

1 centimeter = 1/100 meter

80 cm = 80 /100

          = 0.8 meters

70 cm = 70 /100

          =0.7 meters

Least width of the road is calculated by finding least common multiple of 0.8 meters and 0.7 meters

0.8 = 8 × (1/10)

0.7 = 7 × (1/10)

least common multiple = 7 × 8 × (1/10)

                                    = 5.6 meters

Therefore, exact number of steps taken by Anne to cross the road either by striding 80cm or by striding 70cm , then the least width of the road is equal to 5.6meters.

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What is the result when 2a - 5 is subtracted from 3a + 3?

Answers

Answer:-1a+2

Step-by-step explanation:

add like terms

Hey there!


(2a - 5) - (3a + 5)

= 2a - 5 - 3a + 5

COMBINE the LIKE TERMS

= (2a - 3a) + (-5 + 3)

= 2a - 3a + (-5) + 3

= -1a - 2


Therefore, your answer should be:

-1a - 2


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

The Busy Bee store bottles fresh jars of honey at a constant rate. In 2 hours, it bottles 20 jars, and in 5 hours, it bottles 50 jars of honey.

Determine the constant of proportionality.

(HELP THIS IS OVERDUE !!)

Answers

Answer:

9

Step-by-step explanation:

because in one hour it fills 18÷2 =9.

Answer: It's 10 because 20* Divided by 2 is 10

Step-by-step explanation:

the gmat scores of all examinees who took that test this year produced a distribution that is approximately normal with a mean of 410 and a standard deviation of 33. the probability that the score of a randomly selected examinee is less than 370, rounded to three decimal places, is:

Answers

The probability that the score of a randomly selected examinee is less than 370 is 0.113

Mean of the gmat score = 410

Standard deviation of the deviation = 33

The randomly selected examinee be X ,

Thus X = 370

So , we need to find the probability that the score of a randomly selected examinee is less than 370 i.e.

   P(X < 370)

Now , let us the z-score with normal distribution formula

        Z = (X - μ) / σ

        Z = (370 - 410) / 33

        Z = -40 / 33

       Z = -1.21

Thus P(X < 370) = P(Z < -1.21)

From the z - table , we can get that

         P(Z < -1.21) = 0.11314

By rounding off to three decimals ,

          P(Z < -1.21) = 0.113

Therefore , the probability of Z< -1.21 is 0.113

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EB.AACB = ADCE. AB = 8 and AC = 6DE = [?]

Answers

DE will be equal to AB, then DE=8

Angel earned $70 mowing lawns, which is 140% of the amount George earned. How much money did George earn?

Answers

The total amount earned from mowing lawns by George is $50

How to determine the amount earned by George?

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

Earnings percentage = 140%

Angel total earnings in mowing lawns = $70

The amount earned from mowing lawns by George is then calculated as

Angel total earnings in mowing lawns = Earnings percentage  x Total amount earned from mowing lawns by George

Substitute the known values in the above equation

So, we have

70 = 140% x Total amount earned from mowing lawns by George

Divide both sides by 140%

Total amount earned from mowing lawns by George = 50

Hence, the total amount is $50

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Kamala is reading about her favorite superhero, Captain Marvel. She would like to read at least 235 pages in one week. She has already read 25 pages. How many pages does Kamala need to read each day?

Answers

The number of pages that Kamala needs to reach each day is p ≥ 30.

What is the number of pages that Kamala needs to read?

Here are inequality signs and what they mean:

> means greater than< means less than≥ means greater than or equal to ≤ less than or equal to

The inequality sign that would be used is ≥. This is because the pages Kamala needs to read each day  can be equal to 235 or greater than 235

25 + 7p ≥ 235

Combine similar terms: 7p ≥ 235 - 25

Add similar terms:  7p ≥ 210

Divide both sides of the equation by 7: p ≥ 210 / 7

p ≥ 30

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A line contains the points (-21,-94) and
(-34,-172).
What is the slope of the line in simplified form?

Answers

Y2-y1/x2-x1

-172-(-94)/-34-(-21)

-78/-13

6 is the slope

Write an exponential function in the form y and (2,171). ab that goes through points (0,19)

Answers

The exponential function has the following form:

[tex]y=a\cdot b^x[/tex]

The function goes through the points ( 0, 19) and ( 2, 171 )

We will use the points to find the values of a and b

[tex]\begin{gathered} x=0\rightarrow y=19 \\ \\ 19=a\cdot b^0 \\ b^0=1 \\ a=19 \end{gathered}[/tex]

Substitute with the point ( 2, 171 ) and the value of a to find b

[tex]\begin{gathered} x=2\rightarrow y=171 \\ a=19 \\ \\ 171=19\cdot b^2 \\ \\ b^2=\frac{171}{19}=9 \\ \\ b=\sqrt[]{9}=3 \end{gathered}[/tex]

So, the answer will be:

[tex]y=19\cdot3^x[/tex]

Algebraically solve for x: 7/2x-2/x+1=1/4

Answers

Step-by-step explanation:  Check the photo

Answer:

x = -2

Step-by-step explanation:

7/(2x) - 2/x + 1 = 1/4

7/(2x) - 4/(2x) + 1 = 1/4

(7-4)/(2x) = 1/4 - 1

3/(2x) = 1/4 - 4/4

3/(2x) = - 3/4

3 = (-3/4)(2x)

3 = -6x/4

3*4 = -6x

12 = -6x

12/-6 = x

-2 = x

Check:

7/(2*-2) - 2/-2 + 1 = 1/4

7/-4 + 1 + 1 = 1/4

-7/4 + 2 = 1/4

-7/4 + 8/4 = 1/4

What angle does a 3.8 m ladder make with the ground if it reaches 2.1 m up the wall? How far is the foot of the ladder from the wall?

Answers

The angle does a 3.8 meter ladder make with the ground if it reaches 2.1 meter up the wall is 33.54 degrees and the distance between the foot of the ladder and the wall is 3.16 meters


The length of the ladder = 3.8 meter

The length of wall = 2.1 meter

Draw the figure using the measurements

We have to use the trigonometric function

The angle that a ladder make with the ground

sin θ = Opposite side / Hypotenuse

sin θ = 2.1/3.8

θ = 33.54 degrees

The distance from the foot of the ladder from the wall

cos θ = Adjacent side / Hypotenuse

cos 33.54 = Adjacent side / 3.8

Adjacent side = 3.8 × cos 33.54

= 3.16 meters

Hence, the angle does a 3.8 meter ladder make with the ground if it reaches 2.1 meter up the wall is 33.54 degrees and the distance between the foot of the ladder and the wall is 3.16 meters

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round your answer to the nearest tenth.​

Answers

The next place value on the right should be used to round a number to the closest tenth (the hundredths). Simply take away all the digits to the right if it's 4 or fewer. Remove all the digits to the right after adding 1 to the digit in the tenths position if the number is five or above.

To what decimal place do you round?

Examine the hundredth number to determine the decimal number's nearest tenth. Add one to the tenth value if the number is more than 5. Remove all the numbers that are present after the tenth place if the value is less than 5, but keep the tenth place value in place otherwise. As an illustration, if you want to round up to the nearest.

Triangle Area Solver

A=hbb

2

b Base

Enter value

hb Height

Enter value

γ

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1) Round the number to the underlined place value.
-17.625

Answers

The quotient for this answer is 0.220

the quality control manager at a computer manufacturing company believes that the mean life of a computer is 99 months, with a standard deviation of 8 months. if he is correct, what is the probability that the mean of a sample of 69 computers would be less than 97.94 months? round your answer to four decimal places.

Answers

The probability that the mean of a sample of 78 computers would be less than 97.94 months exists 0.883.

What is meant by probability?

A probability is a numerical representation of the likelihood or chance that a specific event will take place.

Let the given values be

[tex]\mu[/tex] = 99, [tex]$\sigma[/tex] = 8

Let x be the random variable that represents the life of a computer.

Sample size: n = 69

Then, the z-score corresponds to x = 97.94 will be :-

[tex]$z=\frac{97.94-99}{\frac{8}{\sqrt{69}} \quad[\because} \quad z=\frac{x-\mu}{\left.\frac{\sigma}{\sqrt{n}}\right]}$[/tex]

z = -1.10062

Required probability ( using standard z-value table ) :-

P(x < 97.94) = P(z < -1.10) = 1 - P(z < 1.10)

= 1 - 0.1170 = 0.883

Therefore, the probability that the mean of a sample of 78 computers would be less than 97.94 months exists 0.883.

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after sampling a column of water from the surface to a depth of 3000 meters (nearly 10,000 feet), a colleague aboard an oceanographic research vessel tells you that the water column is isopycnal. what does this mean? what conditions create such a situation? what would have to happen in order to create a pycnocline?

Answers

Using the correct tools

Which fraction is equivalent to3-3? - 1 27 1 1 27

Answers

[tex]3^{-3}=\frac{1}{3^3}=\frac{1}{27}[/tex]

5 + 7(6 −4) − 2(5 − 1)

Answers

Answer: 11

Step-by-step explanation:

5 + 7(6-4) - 2(5 - 1)

P E M/D A/S

5 + 7(2) - 2(4)

P E M/D A/S

5 + 14 - 8

P E M/D A/S

11

The answer is 11 5 + 7(6 −4) − 2(5 − 1)

mary walked to school at an average speed of 2 miles per hour and jogged back along the same route at an average speed of 6 miles per hour. if her total traveling time was 1 hour, what was the total number of miles in the round trip?

Answers

As a result, the total distance traveled by Mary in her round trip is 3/2 mile + 3/2 mile = 6/2 mile = 3 mile

How to calculate total distance?

We can calculate the total distance traveled by a body with position function s (t) if it moves along a coordinate line without changing direction from t = a to t = b. If the body changes direction during the journey, we must integrate the body's speed |v (t)| to find the total distance traveled.

Therefore,

We know Mary spent only a third of the time coming from school as she did going because she traveled three times as fast coming from school as she did going to school (6 miles per hour versus 2 miles per hour). If x represents the time it took her to get to school, then x/3 represents the time it took her to return.

Knowing that the total trip took 1 hour, we have:

x + x/3 = 1

3x/3 + 1x/3 = 1

4x/3 = 1

x  = 3/4

So we know it took Mary 3/4 of an hour to get to school (and 1/4 of an hour to get home).

Remembering that distance = rate × time, Mary's commute to school was (2 miles per hour) × (3/4 of an hour) = 3/2 mile. Furthermore, because she returned via the same route, she must have traveled 3/2 of a mile.

As a result, the total distance traveled by Mary in her round trip is 3/2 mile + 3/2 mile = 6/2 mile = 3 mile.

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A laptop computer originally priced at $1,700 now sells for $1,800. What is the percent of increase?%.The percent of increase is(Type an integer or decimal rounded to one decimal place as needed.) find the point that is symmetric to the point (-7,6) with respect to the x axis, y axis and origin Write the following phrase as a variable expression. Use x to represent a number The sum of a number and fourteen In July, Lee Realty sold 10 homes at the following prices: $140,000; $166,000; $80,000; $98,000; $185,000; $150,000; $108,000; $114,000; $142,000; and $250,000. Calculate the mean and median. Prompt You have been working through a lot of material that includes sorting grammatically correct and incorrect sentences. Directions: Take a look at the sentences below that require spelling changes in the preterite tense for (-CAR, -GAR, -ZAR verbs). Observe the situations when a spelling change is needed and what the change is. Make your best guess and create a general grammar rule for these 3 types of verbs, in your own words, that you think could explain the grammatical structure. Then, test your rule to see if it applies to the example sentences. We are not looking for a textbook grammar rule, but rather a creation of your own. Hint: Note the subject pronoun. Pay attention to the type of verb. (-ar, -er, -ir) Determine the conjugations for regular preterite tense verbs. See if any patterns occur. flower co., which is operating at capacity, desires to add a new service to its rapidly expanding business. the service should be added as long as service revenues exceed: twin-cities, inc., purchased a building for $600,000. straight-line depreciation was used for each of the first two years using the following assumptions: 25-year estimated useful life, with a residual value of $100,000. a. calculate the annual depreciation for the first two years that twin-cities owned the building. b. calculate the book value of the building at the end of the second year. how does a mass extinction event affect biodiversity on the earth? choose one: a. mass extinctions of minimal effect on the diversity of life. b. mass extinctions increase the diversity of life. c. mass extinctions decrease the diversity of life. d. mass extinctions have no effect on the diversity of life. Help me please!!! She said use Al/el The lengths of adult males' hands are normally distributed with mean 189 mm and standard deviation is 7.4 mm. Suppose that 15 individuals are randomly chosen. Round all answers to 4 where possible.a. What is the distribution of x? x ~ N( , ) b. For the group of 15, find the probability that the average hand length is less than 191.c. Find the first quartile for the average adult male hand length for this sample size.d. For part b), is the assumption that the distribution is normal necessary? No Yes 2. Assume that each situation can be expressed as a linear cost function and find the appropriate cost function. (a) Fixed cost, $100; 50 items cost $1600 to produce. (b) Fixed cost, $400; 10 items cost $650 to produce. (c) Fixed cost, $1000; 40 items cost $2000 to produce. (d) Fixed cost, $8500; 75 items cost $11,875 to produce. (e) Marginal cost, $50; 80 items cost $4500 to produce. (f)Marginal cost, $120; 100 items cost $15,800 to produce. (g) Marginal cost, $90; 150 items cost $16,000 to produce. (h) Marginal cost, $120; 700 items cost $96,500 to produce. The seventh term of a geometric sequence is 1/4 The common ratio 1/2 is What is the first term of the sequence? Solve for x using the quadratic formula.3x^2 +10x+8=3 A fair coin is flipped 10 times. Each flip is independent. What is the probability of getting exactly eight heads? 1. Write the equation of a line perpendicular to thex 5and that passes through thepoint (6,-4).line y What is the y-intercept of the line x+2y=-14? (0,7) (-7,0) (0,-7) (2,14) Create a system of equations and use algebra to write a quadratic equation with points (-3,-4), (3,14), and (0,-4). Equations 1: -4=9a-3b+c Equation 2: 14=9a+3b+c Equation 3: -4=cwhat is the resultiNg of b? If Sam starts his shift at 8 in the morning what time will it be when he has wrapped 120 pieces of Taffy What is the vertex of the parabola with thefunction rule f(x) = 5(x 4) + 9? If three points a, b, and c lie on the same line, then b is between a and c if and only if the distance from a to c is equal to the sum of the distances from a to b and from b to c. Write an absolute value equation to represent the definition of betweenness.