The frequency table below shows the number of goals Real Madrid scored in each of their soccer games in April and May of 2022. Determine the total number of data values (games played) represented in the table.



Data (goals scored) Frequency
0 1
1 3
2 2
3 4
4 2
7 1
9 1

Answers

Answer 1

The total number of data values (games played) represented in the table is 14.

To determine the total number of data values (games played) represented in the frequency table, we need to sum up the frequencies for each category (number of goals scored).

The frequency represents the number of games in which a particular number of goals was scored.

Let's calculate the total number of games played by summing up the frequencies:

Total number of games played =

Frequency of 0 goals + Frequency of 1 goal + Frequency of 2 goals + Frequency of 3 goals + Frequency of 4 goals + Frequency of 7 goals + Frequency of 9 goals

Total number of games played = 1 + 3 + 2 + 4 + 2 + 1 + 1

Total number of games played = 14

We must add the frequencies for each category (number of goals scored) to get the total number of data values (games played) reflected in the frequency table.

The number of games with a specific amount of goals scored is the frequency.

Let's add up the frequencies to determine the total number of games played:

Total games played = Frequency of 0 goals, Frequency of 1, Frequency of 2, Frequency of 3, Frequency of 4, Frequency of 7, and Frequency of 9 goals.

Total games played: 1 plus 3 plus 2 plus 4 plus 2 plus 1 plus 1

14 games were played in total.

For similar questions on Data

https://brainly.com/question/30461158

#SPJ8

The Frequency Table Below Shows The Number Of Goals Real Madrid Scored In Each Of Their Soccer Games

Related Questions

Trapezoid ROCK is isosceles. Find m

Trapezoid ROCK is isosceles. Find m

Answers

Explanation:

Since this trapezoid is isosceles, the upper angles are congruent and the bottom angles are congruent:

\(\begin{gathered} \angle KCO\cong\angle\text{COR} \\ \angle CKR\cong\angle ORK \end{gathered}\)

Therefore mAngles \(\begin{gathered} m\angle CKR=m\angle CKO+m\angle OKR \\ 120º=m\angle CKO+24º \\ m\angle CKO=120º-24º=96º \end{gathered}\)We have that angle OKR is 24º and angle ORK is 120º. The sum of the measures of the interior angles of a triangle is 180º:

\(\begin{gathered} m\angle OKR+m\angle ORK+m\angle ROK=180º \\ 24º+120º+m\angle ROK=180º \\ m\angle ROK=180º-24º-120º=36º \end{gathered}\)

Angles ROC and KCO are congruent and by angle addition the measure of angle ROC is:

\(m\angle ROC=24º+36º=60º\)

Answers:

• m,• m,• m

HELP ASAP PLS

a survey asked two age groups about the car color that they most preferred. the results are down in the table below. which car color eat most preferred by people ages 16-24 and what is the relative frequency within this age group?
A.) Blue, 71.4%
B.)Red, 60.6%
C.)Blue, 26.8%
D.)33.9%​

HELP ASAP PLSa survey asked two age groups about the car color that they most preferred. the results

Answers

Answer:

I believe that the answer is B.

Step-by-step explanation:

You can automatically elleminate A bc blue is not larger that red so it is down to C and D. C and D is to small of a percentage bc it would more than likely be one of the smaller numbers on there but red is the largest number in the chart.

So that is why my answer is B.

Please help.i tried these answers and it didn't work helpppppp pleaseeeeeeee I'll give you brainliestt!!!!!!

Please help.i tried these answers and it didn't work helpppppp pleaseeeeeeee I'll give you brainliestt!!!!!!

Answers

Answer:

try 19 gal & 5 qt or 0.5 qt

Step-by-step explanation:

i hope it works

Solve the following system using the elimination method. Enter your answer as anordered pair in the form (x, y) if there is one, unique solution. Enter All if there areinfinitely many solutions and enter None if there are no solutions.3x– 6y = -3-6x +12y = 6Please see the picture

Solve the following system using the elimination method. Enter your answer as anordered pair in the form

Answers

Answer:

Given that,

\(\begin{gathered} 3x-6y=-3-----(1) \\ -6x+12y=6----(2) \end{gathered}\)

Multiply the equation (1) by 2 we get,

\(6x-12y=-6----(3)\)

Adding equation (3) and (2) we get,

\(0=0\)

Since we get 0=0, it has infinitely many solution.Hence the system has infinitely many solution.

Answer is: All.

Helppp me plsssssss I need this hel me out

Helppp me plsssssss I need this hel me out

Answers

The equation that models the table is a) y = -4x + 1.

gerry's drawer has two black socks and 4 blue socks. if he selects two socks without looking what is the probability that both socks are black

Answers

2/6 or 0.33% since there are 6 socks and only 2 of them are black
0.33% because there are 6 socks and 2 are only black.

Evaluate the expression.

Evaluate the expression.

Answers

Answer: 18
Explainion: this is what I got on my work sheet
first, we can simplify what is inside the parenthesis and what is outside the parentheses.
15-9/3 = 6/3 = 2
19-10 = 9
now we can rewrite the expression and solve
2 * (9) = 18

e the function.
R
ƒ(x) = −x² – 10x + 16
Find f(-7)
Submit Answer

Answers

Answer

37

Step by Step explanation

replace x with -7

which gives

-(-7)^2-10(-7)+16

= 37

Two numbers are in the ratio 7:5. The smaller number is 16 less than the bigger number. What is the bigger number ?

Answers

Answer:

The bigger number is 56

Step-by-step explanation:

\(\frac{x}{y}\) = \(\frac{7}{5}\)  cross multiply

5x = 7y

y = x -16  substage x-16 in the equation above for y

5x = 7( x - 16)

5x = 7x - 112  Subtract 7x from both sides

-2x = -112  Divide both sides by -2

x = 56

Check:

y = x - 16

y = 56 - 16

y = 40

5x = 7y

5(56) = 7(40)

280 = 28

y = x - 16

40 = 45-16

40 = 40

Given: A = {(0, 0), (2, 1), (3, 1.5),(4,2),...) Is A a function and why?
A. No, each set of ordered pairs in this list has the same range element.

B. Yes, there is more than one ordered pair in this list.

C. Yes, no two ordered pairs in this list has a repeat of the domain element.

D. No, there is a limited number of ordered pairs in this list.

Answers

Answer:

C. Yes, no two ordered pairs in this list has a repeat of the domain element.

Step-by-step explanation:

An equation that produces a set of ordered pairs defines a function, but it needs to be a proper function!

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. Which means that answer C is correct.

Answer:

C. Yes, no two ordered pairs in this list has a repeat of the domain element.

Step-by-step explanation:

ODY 2022

Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y

Answers

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

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

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

for such more question on system of equations

https://brainly.com/question/4262258

#SPJ8

The diameter of the circle above is 12 cm. What is the circumference of the circle? (Use = 3.14.)

Answers

Circumference = πd = 3.14*12 = 37.68 cm

Answer:

37.68

Step-by-step explanation:

i had this one

Express 236% as a mixed number in simplest form

Answers

Answer:

2\(\frac{9}{25}\)

Step-by-step explanation:

The diameter of Jacob's circular tabletop is 6 feet. What is the area, in square feet, of Jacob's tabletop?

Answers

Answer:

approximately 28.26 square feet

Step-by-step explanation:

The formula for the area of a circle is A = pi(r)^2. So, the radius is half of the diameter, meaning it's 3 feet. Then we square it to get 9, and multiply by pi, or 3.14. This leads us to the approximated answer of 28.26 square feet.

The area is:

28.27 square feet

Work/explanation:

Since the tabletop is circular, we use the formula for a circle's area, which is: \(\bf{A=\pi r^2}\).

We have the diameter, and to find the radius, we divide the diameter by 2, which gives us 6 ÷ 2 = 3 feet, so the radius of the tabletop is 3 feet.

Now, here's a diagram for you;

\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 3\ ft}\end{picture}\)

Plug in the data:

\(\sf{A=\pi\times3^2}\)

\(\sf{A=\pi\times9}\)

\(\sf{A=28.27\:ft^2}\)

Hence, the area is 28.27 square feet.

A news report suggested that an adult should drink a minimum of 4 pints of water per day.
Based on this report, determine the minimum amount of water an adult should drink,
in fluid ounces, per week.

Answers

9514 1404 393

Answer:

  448

Step-by-step explanation:

(4 pt/da)×(7 da/wk)×(16 oz/pt) = 448 oz/wk

That would be 448 fluid ounces per week.

Neal invested $120,000 in stocks and bonds. He earned 18% on his stock investments and 12% on his bond investments. If Neal's combined profits on both types of investments were $17,400, how much did he invest in stocks?​

Answers

Answer:

  $50,000

Step-by-step explanation:

The given relations can be used to write and solve an equation for the amount invested in stocks.

Setup

Let s represent the amount invested in stocks. Then (120,000-s) is the amount invested in bonds. The total earnings by the two investments were ...

  0.18s +0.12(120,000 -s) = 17,400

Solution

Simplifying the equation, we have ...

  0.06s +14,400 = 17,400

  0.06s = 3000 . . . . . . . . . . subtract 14,400

  s = 50,000 . . . . . . . . . . . . divide by 0.06

Neal invested $50,000 in stocks.

__

Additional comment

The amount invested in bonds was 70,000. The profit earned was ...

  0.18(50,000) +0.12(70,000) = 9,000 +8,400 = 17,400

I need the answer so please help it is worth 88 points

Answers

Answer:

24

Step-by-step explanation:

If she did all 3of them today then you subtract a day from each one then it would look like this

5+4+15=24

What's the question? You can edit if you're on pc I think so you can add a picture or type it up. I'll also edit this so I can help u :)

the average length of an adult rough green snake is 5/6 yard. the length for an eastern garter snake is 4/6 yard. How much longer is the rough green snake then an eastern garter snake?

Answers

Answer:

6 inches

Step-by-step explanation:

let's turn that yard into inches.

12x3=36

so 36/6=6

so each1/6 is equal to 6 inches

5/6 - 4/6=1/6

1/6 = 6 inches

therefore, the adult rough green snake is 6 inches longer than the eastern garter snake

A new gaming chair costs $309.99. You have already saved $144.99 and earn $27.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.

27.5w − 144.99 = 309.99; w = 17
27.5 + 144.99w = 309.99; w = 6
27.5w − 309.99 = 144.99; w = 17
27.5w + 144.99 = 309.99; w = 6

Answers

The linear equation we need to solve is:

$27.50*w = $309.99 - $144.99

And the solution is w = 6.

How to write and solve the equation?

We know that the cost of the gaming chair is $309.99.

To buy this, you already have saved $144.99, and save another $27.50 per week, then the amount you have after w weeks is:

f(w) = $144.99 + $27.50*w

So the linear equation we need to solve is:

$144.99 + $27.50*w = $309.99

To solve this we need to isolate w.

$144.99 + $27.50*w = $309.99

$27.50*w = $309.99 - $144.99

w = ($309.99 - $144.99)/$27.50 = 6

So they can buy the chair after 6 weeks.

Learn more about linear equations at:

brainly.com/question/13763238

#SPJ1

Evaluate \frac{1}{4} \times 2 \frac{4}{5}
4
1

×2
5
4

. ​



Write the answer as a reduced fraction.​

​Use slash \left(/\right)(/) to separate numerator and denominator.

​Answer:​

Answers

Don’t click on it the link he sent

Answer:

bro gave me a virus

Step-by-step explanation:

dont click the link

When does a negative exponent not move the base to the denominator

Answers

Answer:

If the base and the negative exponent is in the denominator already

Step-by-step explanation:

Normally, a base with a negative exponent moves to the denominator.

Example: (2^-3 = 1 / (2)^3 = 1/8)

However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.

Example:  2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54

The diameter of a circle is 3 miles. What is the area?

Answers

Answer:

Area = 7.065 square miles

Step-by-step explanation:

The diameter of a circle is the distance across the circle passing through its centre, and it is equal to twice the radius. Therefore, if the diameter of a circle is 3 miles, then the radius is 1.5 miles.

The formula for the area of a circle is \(A = \pi r^2\) (\(A = \pi \times r^{2}\))

\(A\) is the area \(r\) is the radius. The value of pi (\(\pi\)) is approximately 3.14, so we will use that value.

Substituting the value of the radius into this formula, we get:

\(A = 3.14 \times 1.5^2\)\(A = 3.14 \times 2.25\)\(A = 7.065\)

Therefore, the area of the circle is approximately 7.065 square miles.

________________________________________________________

The answer is:

A = 7.069 miles²

Work/explanation:

We have the diameter, but we need to find the radius. We can do that by diving the diameter by 2:

radius = diameter ÷ 2 = 3 ÷ 2 = 1.5 miles

Now we move on to the next step - the formula.

The formula is:

\(\sf{A=\pi r^2}\)

where:

A = areaπ = pir = radius

diagram

\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\small 1.5\ miles}\end{picture}\)

Plug in the data

\(\sf{A=\pi \times 1.5^2}\)

\(\sf{A=\pi\times2.25}\)

\(\sf{A=7.069~miles^2}\)

Hence, this is the area

richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost?

A. $3.25

B. $5.25

C. $7.75

D. $7.25

Answers

The cost for an order of 1 slice of cheese pizza and 3 soda is 5.25 dollars.

How to find the cost of soda and Pizza by forming equation?

Richard bought 3 slices of cheese pizza and 2 sodas for $8.75.

Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50.

let

the cost of each cheese pizza = x

the cost of each soda = y

Therefore,

3x + 2y = 8.75

2x + 4y = 8.50

6x + 4y = 17.5

2x + 4y = 8.50

4x = 9

x = 9 / 4

x = 2.25

Therefore,

2(2.25) + 4y = 8.50

4.5 + 4y = 8.50

4y = 8.50 - 4.5

4y = 4

y = 4 / 4

y = 1

The cost of 1 slice of cheese pizza and 3 sodas is as follows:

2.25 + 1(3) = 3 + 2.25 = $5.25

learn more on equation here: https://brainly.com/question/9608311

480 hours of work in 12 weeks
Write the rate and unit rate for each phrase given

Answers

Answer:

8/10

Step-by-step explanation:

that is the answer and how this works is 80 inches of snow over 10 days

Rate :

Unit Rate :

2) 3 comic books for 3 dollars

Rate :

Unit Rate :

3) 5 pounds of potatoes cost $10

Rate :

Unit Rate :

4) 20 chairs in 2 rows

Rate :

Unit Rate :

5) 63 peaches in 7 bowls

Rate :

Unit Rate :

480 hours of work in 12 weeks

8 inches of snow per day

10 days

80 inches of snow

Which of the following statements is true for a point in the first quadrant of the coordinate plane?

A. To graph a point (x, y) in the first quadrant of the coordinate plane, move x units up from the origin and y units to the left.

B. To grab a point (x, y) in the first quadrant of the coordinate plane, move x units to the right of the origin and y units up.

C. To graph a point (x, y) in the first quadrant of the coordinate plane, move x units to the left of the origin and y units up.

C. To graph a point (x, y) in the first quadrant of the coordinate plane, move x units from the origins and Y units to the right.

D. To graph a point (x, y) in the first quadrant of the coordinate plane, move x units up from the origin and y units to the right.

Answers

Answer:

Choice B: Start at the origin. Move \(x\) units to the right, and \(y\) units upwards.

Step-by-step explanation:

There are two axes on a typical Cartesian coordinate plane:

The horizontal \(x\)-axis, andThe vertical \(y\)-axis.

Many diagrams of a Cartesian plane would have arrows on these two axis. Typically, there would be:

a rightward arrow \(\verb!->!\) on the right-hand side of the horizontal \(x\)-axis, andan upward arrow \(\uparrow\) at top of the vertical \(y\)-axis.

The arrow on the \(x\)-axis pointing rightward suggests that as a point move to the right, the \(x\!\) coordinate of that point would increase. Conversely, it would be necessary to move points to the right so as to increase their \(\! x\)-coordinates.

On the other hand, the arrow pointing upwards on the \(y\)-axis indicate that as a point move upward, the \(y\!\) coordinate of that point would increase. With a similar logic, it would be necessary to move points upward to increase their \(\! y\)-coordinates.

Besides, the origin (the intersection of the two axis, unless otherwise specified) would corresponds to \((0,\, 0)\). (That is: \(x = 0\) and \(y = 0\).) If the origin \((0,\, 0)\!\) is the starting point, it would be necessary to increase the \(x\)-coordinate by \(x\!\) units (by moving rightward \(x\!\!\) units) and increase the the \(y\)-coordinate by \(y\!\) units (by moving upwards \(y\!\!\) units) so as to reach the point \((x,\, y)\).

A distributor has received an invoice of $13,190 dated April 12, terms 6/20, n/30 EOM, for a

shipment of coffee makers that arrived on May 25.

a) What is the last day for taking the cash discount?

b) How much is to be paid if the discount is taken? $

Answers

The  last day for taking the cash discount is May 5  and discount is taken is: $12,398.6.

Cash discount

Since the invoice was dated April 12, the last day for taking the cash discount is May 5.

Cash discount

Using this formula

Amount paid =Invoice amount × (1-rate)

Let plug in the formula

Amount paid=$13,190 ×(1-6%)

Amount paid=$13,190×0.94

Amount paid=$12,398.6

Therefore the  last day for taking the cash discount is May 5 and the amount to be paid is: $12,398.6.

Learn more about cash discount here:https://brainly.com/question/14883253

#SPJ1

The numbers 1000, 1001, 1002, 2000 are all in base 10. Rewrite all of the
numbers in base 5 and find the base 5 number whose digits have the least sum. What
is this number written in decimal notation?

Answers

Rewriting all numbers in base 5

1000 = 13000

1001 = 13001

1002 = 13002

2000 = 31000

The base 5 number whose digits have least sum are 13000 and 31000

The decimal notation of the numbers are 1000 and 2000

Define unit number.

The rightmost point in a number or the number one are both acceptable definitions of the word "unit" in mathematics. A unit can also be an item or a person that is seen as distinct and whole but is actually a component of a whole or group. An identification number for a unit in a declaration is referred to as a unit number.

To learn more about a unit number, use the link given
https://brainly.com/question/26770986
#SPJ1

29. What is the BEST description of a constant rate of change?

Answers

A constant rate of change occurs when the change in two variables is contant over a period of time.

In this ,

Option A;

The number of stamps in a collection when the same number of stamps is added each month

This is correct because a constant rate will be obtained when the previous number of stamps in the collection is divided by the amount added.

Answer

A.

Can someone explain this equation to me? (#66)

Can someone explain this equation to me? (#66)

Answers

66. For equation -1.48 = (x - 30)/4,  the value of  x is 24.08. 68. For equation 0.88 = 22,000.44/σ, the value of σ is 25,000.5.

Describe Equation?

An equation is a mathematical statement that shows the equality between two expressions, using symbols and mathematical operations. An equation typically contains variables, which are symbols representing unknown values, and constants, which are known values. The variables can be solved for using algebraic methods to find their specific value(s) that make the equation true.

Equations can take many forms, depending on the mathematical context. For example, a linear equation has the form y = mx + b, where y and x are variables, m is the slope of the line, and b is the y-intercept. Quadratic equations have the form ax² + bx + c = 0, where a, b, and c are constants and x is the variable. There are many other types of equations, such as trigonometric equations, logarithmic equations, and differential equations, each with their own specific form and properties.

66. -1.48 = (x - 30)/4

To solve for x, we can begin by multiplying both sides by 4:

-1.48 * 4 = x - 30

-5.92 = x - 30

Next, we add 30 to both sides to isolate x:

-5.92 + 30 = x

x = 24.08

Therefore, the solution is x = 24.08.

68. 0.88 = 22,000.44/σ

To solve for σ, we can begin by multiplying both sides by σ:

0.88σ = 22,000.44

Next, we divide both sides by 0.88 to isolate σ:

σ = 22,000.44/0.88

σ = 25,000.5

Therefore, the solution is σ = 25,000.5.

To know more about expressions visit:

https://brainly.com/question/18959500

#SPJ1

Solve for x:
8x - 3 = 5(2x + 1)
A. X=-4
B. x= -2
OC. x=1
D. x = 9


Help quick!!

Solve for x:8x - 3 = 5(2x + 1)A. X=-4B. x= -2OC. x=1D. x = 9 Help quick!!

Answers

Answer:

A. X= -4

Step-by-step explanation:

8x-3=5(2x+1)

8x-3=10×+5

-3=2×+5

-8=2x

x=-4

Answer:

A: x=-4

Step-by-step explanation:

8x - 3 = 5(2x + 1)

8x - 3 = 10x + 5

-3 = 2x + 5

-8 = 2x

x = -4

Other Questions
What is the volume of a cereal box that measures 2 inches by 7 inches by 11 inches? which is a better price: 5 for $1.00, 4 for $0.85, 2 for $0.25, or 6 for $1.10? Describes long term ecological stability and human progress and defines whether a process can be continued indefinitely. justify the statement conservation of forest helps in the protection of environment az b) 6 6. If 0 The cost method that will yield an ending inventory that is closer to current prices is the________. okokookokokokokokoko0 i need help i suck at these Find C. Leave your answer in simplified radical form. If Amanda runs 30 kilometers in 3 hours, how fast is she going? (type which formula you are using (1pt), what numbers you are dividing or multiplying (1pt) and then show your answer with correct units Examine balanced scorecard information about Empire State College using the schools website. Create a post in your Group Work Discussion thread for this assignment that lists several balanced scorecard features of ESC and why you think they are. As a group prepare a summary of your findings by addressing: o Who ESCs customers are. o How they view the college. o How the college creates value. o What core competencies does the college need to leverage? Step 1: H2(g) + ICI(9) HI(g) + HCl(g) (slow) Step 2: HI(g) +ICI(g) + HCl(g) + I2 (g) (fast) The reaction is carried out at constant temperature inside a rigid container. Based on this mechanism, which of the following is the most likely reason for the different rates of step 1 and step 2?a. The only factor determining the rate of step 2 is the orientation of the HI and ICl polar molecules during a collision, but it has a negligible effect when H, and ICl molecules collide. b. The amount of energy required for a successful collision between H, and ICl is greater than the amount of energy required for a successful collision between HI and ICI. c. The fraction of molecules with enough energy to overcome the activation energy barrier is lower for HI and ICl than for H2, and ICI. d. The frequency of collisions between H2, and ICl is greater than the frequency of collisions between HI and ICI. It is the beginning of March, and a U.S. company expects to receive 75 million Japanese yen at the end of July. Japanese yen futures contracts on the CME Group have delivery months of March, June, September, and December. One contract is for the delivery of 10.5 million yen and the company shorts four September futures contracts in March. When the Yen are received at the end of July, the position is closed out. The futures price on March 1 is 1.0400, the futures price when the position was closed was 1.0100, and the spot price when the position was closed 1.0150. What was the total amount received by the company for the 75 million yen? K-means clustering is an iterative algorithm. What triggers an end to the iterations? When: There is no significant change of centroid values between each iteration. There are less than 10 observations not assigned to a cluster. An outlier is no longer used as a centroid. The number of clusters is greater than K. You're running a cluster analysis to help determine relevant customer segments (target audiences) to market a new subscription service for prenatal vitamins. After running a k-means clustering analysis, you have reason to suspect that one outlier observation is significantly altering the interpretation of one of your cluster's centroids. Looking at that observation, you notice that this observation is 98 year old male, with no descendants. In regards to whether or not it's appropriate to remove this observation, the recommended option would be to: Remove this observation, it's an outlier representative of a relevant population, it's just that it's undersampled Remove this observation, it's an outlier representative of a customer segment that is not relevant to the goals of this analysis Retain this observation, it's an outlier but doesn't seem to be aberrant given our population of customers Retain this observation, it's an outlier representative of an undersampled populaticti relevant to our analysis If y = 9 when x = 3, find x when y = 6. what is the mass number of a carbon isotope that has seven neutrons solve the above question5. Is the signal \( x(t)=\cos 2 \pi t u(t) \) periodic? Which statement best describes Englands North American settlement attempts before 1600?A they did very well. B there were no attempts before 1600 c they all failed. They survived for fifty or more years before giving up The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 andthe chicken wrap costs $3.10. Today they made $268.30 from the 136 wraps sold. How many of the wrapssold were vegetarian?a. 57 wrapsc. 63 wrapsd. 75 wrapsb. 73 wraps Listen(2033) Women in Dutch settlementsa) worked as semi-free indentured servants.2experienced widespread discrimination as slaves.15enjoyed more independencebihan in other colonies.d)accumulated more power than men in trade and governance.18