Refer to the number line. Find the coordinate of point K that is 4/5 of the distance from A to F.

The mean age of the residents of a small town will be 27.74.

Midpoints of classes are:

4.5, 14.5, 24.5, 34.5, 44.5, 54.5, 64.5, 74.5, 84.5, 94.5

Hence,

Mean = (4.5*283 + 14.5*202 + 24.5*215 + 34.5*256 + 44.5*175 + 54.5*90 + 64.5*23 + 74.5*21 + 84.5*15 + 94.5*3)/(283 + 202 + 215 + 256 + 175 + 90 + 23 + 21 + 15 + 3)

Mean = (1273.5 + 2929 + 5267.5 + 8832 + 7787.5 + 4905 + 1483.5 + 1564.5 + 1267.5 + 283.5) / 1283

= 35593.5/1283

= 27.74

Learn more about mean on:

https://brainly.com/question/1136789

#SPJ1

Answer:

neither

Step-by-step explanation:

The APR of the given transaction to the nearest tent of a percent is; 4.8%

We find how much you will pay for the car using the down and monthly payments:

3290 + 333.97(48) = $19608.56

Thus, the interest is:

I = (19608.56 - 16450) = $3158.56

Use the simple interest formula:

I = Prt

where;

I is the interest.

P is the principal.

r is the interest rate is the time in years.

Substitute I = $3158.56, P = $16450, and t = 4 years (48 months):

Thus;

3158.56 = (16450)r(4)

Expanding gives;

​3158.56 = 65800r

r = 3158.56/65800

r ≈ 0.048 = 4.8%

Read more about APR at; https://brainly.com/question/24703884

#SPJ1

Answer:

5.7

Step-by-step explanation:

5.666666666 can be rounded to 5.7 because the first decimal place occurs immediately after the decimal point.

I.e. in the number 1.23456, the first decimal place value is 2.

Meaning when we round, we look at the second decimal place. Given that 5.666666666 has a second decimal place greater that 5, we can round to 5.7

She should report the Mean because it will be greater than the Median.

Let's start with the example from before. Imagine you teach a class with 20 students, and they take a test with 20 multiple choice questions about the Revolutionary War. Imagine that the grades you get back from scoring their tests look like this:

So you can see we have student #1 through student #20, and you can see that the scores range quite a bit. Looking at these scores you can see that one student, student #1, got a perfect score of 20 out of 20. Many students got scores somewhere in the middle, with five students getting half of the questions right - that would be a score of 10 out of 20. A few of the students did pretty well, only missing a few questions, While a few students did pretty badly but at least got a few of the questions right.

Let's say the principal of your school wants a quick summary of how your students did on their test. How would you summarize the results? The most common type of statistic, in either the context of the classroom assessment or in laboratory research projects, is statistics of summary. There are various types of Statistics of summary, but in general their purpose is to quickly give an general impression of the overall trend in results. So, just like you'd guess, based on the term Statistics of summary, these statistics just give you a ballpark idea of what happened on the test.

The most well-known statistic of summary is called the mean, which is the term we use for the arithmetic average score. When most people use the term 'average score,' what they're really referring to, technically, is what we call the mean. How do we calculate the mean? We simply add up all of the individual results, get the total, and then divide by the number of students in the class. In our example, you can see how this would look on the screen. If you add up the scores of 20 + 17 + 16 and so on through all 20 students, you get a total score of 210. You divide 210 by 20 (the number of students), and you get a mean of 10.5. You can see that this score, 10.5, is a pretty representative score of the middle score for this class, so it works nicely as a summary.

To learn more about mean.

visit-: https://brainly.com/question/27810917

#SPJ9

The algebraic expression is (3 - 2 - 13) and  simplification of the expression is -12

For simplification we have to first write the expression as given in word form and then simplify according to the algebraic rule

Given expression is 3 more than sum of -2 and -13

we will write the given expression in algebraic form as follows:

i.e. 3 + (-2) +( -13)

i.e. 3 - 2 - 13

i.e. 3 - 15

i.e. -12

Final answer: the simplification of the given expression is -12 and algebraic expression is (3-2-13)

To learn more about algebraic expression visit: https://brainly.com/question/19864285

#SPJ9

Answer:

Step-by-step explanation: -5

Answer:

-5

Step-by-step explanation:

The pattern is decreasing by 5, so 0-5= -5

Hope this helps :D

Answer:

I LOVE SWEETN TO GIRLY POP

Step-by-step explanation:

The number of short-sleeve shirts ordered is 150.

The number of long-sleeve shirts ordered is 225.

23s + 28.50l = $9,862.50 equation 1

s + l = 375 equation 2

Where:

s = number of short-sleeve shirts ordered

l =  number of long-sleeve shirts ordered

The first step is to multiply equation 2 by 23

23s + 23l = 8,625 equation 3

Subtract equation 3 from equation 2

1237.50 = 5.5l

Divide both sides by 5.5

l = 225

s = 375 - 225 = 150

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

#SPJ1

The number of standard deviations from the mean that include all

data values is two.

From the gathering of information, we will see that the minimum worth is $19.95 and also the most worth is $29.95. So , we would like to seek out the amount of normal deviations, let's decision it "a" , such that[tex]\overline x $\color \ - a\cdot\sigma \le 19.95}[/tex] and   [tex]\overline x $\color \ +a\cdot\sigma \geq 29.95}[/tex]

Use the given values of mean  [tex]\overline x[/tex] and normal deviation (σ) to notice the worth of "a".

         [tex]\overline x $\color \ - a\cdot\sigma \le 19.95}\\25.07\ - 2.62a \leq 19.95\\5.12\leq 2.62a\\1.9541\leq a[/tex]

On rounding off we get a = 2

Checking another inequality

         [tex]\overline x $\color \ + a\cdot\sigma \geq 29.95}\\25.07 \ + 2(2.62) \geq 29.95\\25.07 + 5.24 \geq 29.95\\30.31\geq 29.95[/tex]

Thus , 2 standard deviation include the all values from the given set of data .

Learn more about standard deviation here :

https://brainly.com/question/12402189

#SPJ9

1. The equation is: y = 35x + 50

2. The significance of the slope is: A. The ant travels at an average of 35 meters per minute.

3. Distance would be 490 meters.

4. Number of minutes will be: 16.

Given that x = minutes, and y = distance, then we would have the following coordinates:

(2, 120)

(6, 260)

1. The slope (m) = change in y / change in x = 260 - 120 / 6 - 2

Slope (m) = 35

Substitute m = 35, and (x, y) = (2, 120) into y = mx + b to find b

120 = 35(2) + b

120 = 70 + b

120 - 70 = b

b = 50

Substitute m = 35 and b = 50 into y = mx + b to write the equation

y = 35x + 50

2. The slope of the graph 35.

The significance of the slope is: A. The ant travels at an average of 35 meters per minute.

3. When x = 14, we have:

y = 35(14) + 50

y = 490

Distance would be 490 meters.

4. Substitute y = 610 into y = 35x + 50

610 = 35x + 50

610 - 50 = 35x

560 = 35x

560/35 = 35x/35

16 = x

x = 16

Number of minutes will be: 16.

Learn more about linear equations on:

https://brainly.com/question/15602982

#SPJ1

Answer:  $405 each:)

Step-by-step explanation:

You would subtract 24 from 9721 and then it will give you 405.041666666 so you will round and it will be 405 each

Answer:

$405

Step-by-step explanation:

24x405=9721$

Answer:

85°

Step-by-step explanation:

→ Find the sum of the angles in the triangle

53 + 42 = 95

→ Find what the sum of angles in a triangle should be

180

→ Subtract 95 from it

180 - 95 = 85°

Using the probability concept, it is found that:

a) The probability is 0.682.

b) The probability is 0.578.

c) A student given a $1 bill is more likely to have spent the money than a student given four quarters.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For item a, we have that out of the 44 students that were given four quarters, 30 students spent money purchasing gum, hence:

p = 30/44 = 0.682.

The probability is 0.682.

For item b, we have that out of 45 students that were given a $1 bill, 26 kept the money, hence:

p = 26/45 = 0.578.

The probability is 0.578.

Hence the correct option for item c is:

A student given a $1 bill is more likely to have spent the money than a student given four quarters.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

  (x, y) = (2, 3)

Step-by-step explanation:

You want the solution to the system of equations.y=-2x+7, y=5x-7.

Equating the expressions for y gives ...

  -2x +7 = 5x -7

  14 = 7x . . . . . . . add 7+2x

  2 = x . . . . . . . . . divide by 7

  y = 5(2) -7 = 3 . . find y from the second equation

The solution is (x, y) = (2, 3).

The maximum number of performers in each row so that all the rows are equal in length is C. 16.

It should be noted that there are 48 instruments and 32 flag bearers and only one type of performer can be in each row.

The maximum number of performers in each row so that all the rows are equal in length will be the highest common factor between both numbers.

It should be noted that the highest common factor between 32 and 48 is 16

Therefore the correct option is C.

Learn more about factors on:

brainly.com/question/24673551

#SPJ1

The area of the base of a prism with a square base is 7,200,000/h cm to the 2nd power.

The formula for volume of square prism is given as,

Volume of a square prism = (Base Area) × Height.

Now it is given that,

Volume of prism = 7,200,000 cm to the 3rd power

Height of prism = h cm

Since, Volume of a square prism = (Base Area) × Height

Putting the values we get,

7,200,000 = (Base Area) × h

Rearranging we get,

Base Area = 7,200,000 / h cm to the 2nd power

Thus, the area of the base of a prism with a square base is 7,200,000/h cm to the 2nd power.

To learn more about volume :

https://brainly.com/question/18009188

#SPJ1

The fifth angle measure of the polygon is 112°

Since a pentagon is made up of three triangles, its total angles are 3 * 180 * 540. The following formula may be used to get the pentagon's total interior angles: We are aware that the interior angle sum of a polygon with n sides is equal to (n - 2) 180°.

Let the missing angle be x.

The sum of the angles of pentagon is 540°

540 = 100 + 103 + 111 + 114 + x

540 = 428 + x

x = 540 - 428

x = 112

To learn more about pentagon from given link

https://brainly.com/question/9151600

#SPJ9

Answer:

  (41, 43, 45)

Step-by-step explanation:

You want three consecutive odd integers such that the sum of the first and third is 43 more than the second.

Let n represent the middle (second) of the integers. Then the first is (n-2) and the third is (n+2). The given relation can be written as the equation ...

  (n -2) +(n +2) = n +43

Simplifying gives ...

  2n = n +43

  n = 43

  n-2 = 41

  n+2 = 45

The three integers are (41, 43, 45).

__

Additional comment

When working consecutive integer problems, it often works well to let a variable represent the middle one, or their average value.

Based on the events that occurred on January 5, and February 10, journal entries for Parks Construction Inc. are:

Date                 Account title                                          Debit            Credit

Jan. 5               Cash                                                 $4,400,000

                         Common stock                                                  $3,200,000

                          Paid-in capital in excess of par- Common      $1,200,000

Feb 10               Cash                                                 $450,000

                         Common stock                                                     $375,000

                          Paid-in capital in excess of par - preferred       $75,000

The cash would be:

= 400,000 x 11

= $4,400,000

The common stock value would be:

= 400,000 x 8

= $3,200,000

The cash from preferred stock:

= 5,000 x 90

= $450,000

Preferred stock:
= 50,000 x 75

= $375,000

The question is:
Journalize the entries to record the transactions on January 5 and February 10. . Refer to the Chart of Accounts for exact wording of account titles.

Find out more on journal entries at https://brainly.com/question/17201601

#SPJ1

Perimeter = 16.4 units

Using the heron's formula, Area ≈ 10.4 units².

The heron's formula is used to find the area of a triangle with known side lengths of all its three sides, a, b, and c. The heron's formula is given as: Area = √[s(s - a)(s - b)(s - c)], where s = half the perimeter of the triangle

s = (a + b + c)/2.

Given the following:

K (-4,-1) ,

L(-2, 2),

M (3,-1)

Use the distance formula, d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], to find KL, LM, and KM.

KL = √[(−2−(−4))² + (2−(−1))²]

KL = √13 ≈ 3.6 units

LM = √[(−2−3)² + (2−(−1))²]

LM = √34 = 5.8 units

KM = √[(−4−3)² + (−1−(−1))²]

KM = √49 = 7 units

Perimeter = 3.6 + 5.8 + 7 = 16.4 units

Semi-perimeter (s) = 1/2(16.4) = 8.2 units

KL = a ≈ 3.6 units

LM = b = 5.8 units

KM = c = 7 units

s = 8.2

Plug in the values into √[s(s - a)(s - b)(s - c)]

Area = √[8.2(8.2 - 3.6)(8.2 - 5.8)(8.2 - 7)]

Area = √[8.2(4.6)(2.4)(1.2)]

Area = √108.6336

Area ≈ 10.4 units²

Learn more about heron's formula on:

https://brainly.com/question/10713495

#SPJ1

126305.622 is the town's population after 2 years on percentage  7.4.

What percentage means?

percentage , which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

P=  109,500

r = rate =7.4/100

t = time = 2 years

Based on the given conditions, formulate [tex]109,500 . ( 7.4 /100 + 1 )^{2}[/tex]

                                                   = 109500 ( 107.4)²

                                                    = 109500 × 107.4 × 107.4

Evaluate the equation/expression = 126305.622

Learn more about percentage

brainly.com/question/28269290

#SPJ9

Answer:

595.

Step-by-step explanation:

Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.

1st Piece of Equipment = $595

2nd Piece of Equipment = $1,405

2nd Piece is $810 more expensive and the two pieces combined is $2,000.

Answer:

1st answer indeed

Step-by-step explanation:

ok so the steps are included in the given answer. hope you can figure it out. if not let me know. (:

For measuring the vegetable garden, Matsu should use the unit of feet.

Finding a number that represents the amount of anything is what measurement is all about.

For the given question;

The dimensions of the garden are the length. This could be calculated by using the two values in the option; That is inches and feet.

But as inches is a used for measuring the small length ad feet is the larger unit.

Thus, dimensions of the vegetable garden of Matsu are calculated by using feet.

To know more about the measurement units, here

https://brainly.com/question/9606366

#SPJ9

Answer:

For measuring the vegetable garden, Matsu should use the unit of feet.

What is defined as the measurement units?

Finding a number that represents the amount of anything is what measurement is all about.

A measurement unit is a unit of measurement that is used to represent a physical quantity.

For example, the unit of measurement is the defined magnitude of quantity that is being used as the norm for measuring the same type of quantity, as adopted and specified by law or convention.

The imperial unit, also known as the British imperial system, is the standard or default weights and measures system.

Metric System: The metric system is by far the most recent and widely used international system of measurement.

Natural System: Natural units are physical units of measurement that are entirely based on common physical constants.

For the given question;

The dimensions of the garden are the length. This could be calculated by using the two values in the option; That is inches and feet.

But as inches is a used for measuring the small length ad feet is the larger unit.

Thus, dimensions of the vegetable garden of Matsu are calculated by using feet.

Step-by-step explanation:

Answer:

y=1/6x-3-2

Step-by-step explanation:

rises 2 runs 12

equals rise 1 run 6

1/6x

10, 6 -2 from x =10, 4