In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 4 boys and 14 girls are competing, how many different ways could the six medals possibly be given out?​

Answers

Answer 1

Answer:

there are 1456 different ways that the six medals can possibly be given out.

Step-by-step explanation:

There are different ways to approach this problem, but one common method is to use combinations.

First, we need to determine how many ways we can choose three girls out of 14, and three boys out of 4. This can be calculated using combinations:

Number of ways to choose 3 girls out of 14: C(14,3) = 364

Number of ways to choose 3 boys out of 4: C(4,3) = 4

Now, we can use the multiplication principle to determine the total number of ways to give out the six medals:

Total number of ways = number of ways to choose 3 girls * number of ways to choose 3 boys = 364 * 4 = 1456

Therefore, there are 1456 different ways that the six medals can possibly be given out.


Related Questions

Solve the inequalities

Answers

Answer:

m ≥ 6

Step-by-step explanation:

The question asks us to solve the following inequality:

[tex]8m - 8 \geq 40[/tex].

To solve it, we need to make m the subject of the inequality:

[tex]8m - 8 \geq 40[/tex]

⇒ [tex]8m - 8 + 8 \geq 40 + 8[/tex]          [Adding 8 to both sides of inequality]

⇒ [tex]8m \geq 48[/tex]

⇒ [tex]\frac{8}{8}m \geq \frac{48}{8}[/tex]              [Dividing both sides of inequality by 8]

⇒ [tex]m \geq \bf 6[/tex]

Therefore, the solution to the inequality is m ≥ 6.

a cyclist is riding their bicycle on flat terrain at a speed of 22 miles per hour. the wheels on the bike have a diameter of 26 inches.

Answers

The angular speed in radians per minute of the cyclist riding a bike with wheels of diameter 26 inches at a speed of 22 miles per hour is approximately 1124.65 radians per minute.

The formula for the angular speed is:

angular speed = linear speed / radius

where the radius is half the diameter of the wheel. We need to convert the units to be consistent, so let's convert the speed from miles per hour to inches per minute and the diameter from inches to feet:

22 miles per hour = 22 * 5280 feet per hour / 60 minutes per hour

                              ≈ 2437.3 inches per minute

26 inches = 26/12 feet = 2.1667 feet

Now we can calculate the angular speed:

angular speed = 2437.3 / 2.1667 ≈ 1124.65 radians per minute

Your question is incomplete, most likely it was:

A cyclist is riding their bicycle on flat terrain at a speed of 22 miles per hour. the wheels on the bike have a diameter of 26 inches.

Find the angular speed in radians per minute.

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What can be combined with 2x2? Select
all that apply.

Answers

Answer:

its only -11x^2

Step-by-step explanation:

2x^2 and -11x^2 have the same variable.

What is the volume of this right cone?

O 40 cm³
O 300 cm³
O 400 cm³
O 480 cm³

15.6 cm
12 cm
10 cm

Answers

The volume of the right cone is (c) 400π cm cube

How to determine the volume of the cone

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

Radius = 10 cm

Height = 12 cm

The volume of the cone is calculated as

Volume = 1/3πr²h

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

Volume = 1/3π * 10² * 12

Evaluate

Volume = 400π

Hence, the volume is 400π cm cube

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What is the value of a?

[tex]k=\sqrt{f+f}\\f=a^2\\a=?[/tex]

Answers

In  linear equation, √2a² is the value of a .

What are examples of linear equations?

Ax+By=C represents a two-variable linear equation in its standard form. As an illustration, the conventional form of the linear equation 2x+3y=5 It is rather simple to locate both intercepts when an equation is stated in this way (x and y).

                                    An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

      k = √f + f

       f = a²

      k = √a² + a²

         = √2a²

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A jug contained314 pints of milk at the start of a baking class. At the end of the class, only 3 fluid ounces were left.

How many fluid ounces of milk were used during the class?

Responses

10 fl oz
10 fl oz

23 fl oz
23 fl oz

49 fl oz
49 fl oz

101 fl oz

Answers

Answer:

311 fl oz only were used, that is what I got for your answer..

The answer is 49 fl oz

59.05 as a fraction of an hour

Answers

The given decimal in fraction as 1181/20.

What is conversion of decimal number to fraction?

Steps for conversion:

Identify the place value of the digits after the decimal, in the number.Use that to determine what the denominator of the fraction would be.Remove the decimal point. Re-write in the fraction form and simplify itExpress in terms of the lowest equivalent fraction.

The given decimal number is 59.05

Here, multiply 100 to both the numerator and denominator of the decimal, that is

59.05/1 ×100/100

= 5905/100

= 1181/20

Therefore, the fraction is 1181/20.

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14. Cheyenne took a train to visit her aunt. The train traveled at a constant speed of 60 miles per hour. Complete the table, and then write an equation to find the total distance, d, traveled after t hours.​

Answers

The equation to find the total distance would be 60t.

What is total distance?

Whole distance refers to the actual distance between the origin and destination locations of the substance.

The distance traveled is equal to the speed multiplied by the time traveled, which gives the formula:

d = 60t

where d is the total distance traveled in miles, and t is the time traveled in hours.

Therefore, The equation to find the total distance would be 60t.

The table is below:

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The area of this triangle is 64.8 km². Find the height h.
18 km is the base.
The height of the triangle is?

Answers

Answer: 16.2 km

Step-by-step explanation:

The height of the triangle can be found using the area formula for triangles:

Area = (1/2) × base × height

Rearranging the formula to solve for the height gives:

height = (2 × Area) / base

In this case, the area of the triangle is 64.8 km² and the base is given as 8 km. So, the height of the triangle can be calculated as:

height = (2 × 64.8 km²) / 8 km

height = 16.2 km

Answer:

7.2 km

Step-by-step explanation:

the formula for the area of a triangle is 1/2*b*h where b is its base and h is its height. now let's solve for the height

64.8=1/2*18h

64.8=9h

64.8/9=h

7.2 km=h

If △ EFG ∼ △ ABC

, What value of x will make the two triangles similar?

Answers

Answer:

the value of x will be 9 they all are similar so we will just take ratios and do cross multiplication

Find a quadratic equation with integer coefficients that has the given solution set.

{-10, 9}

Answers

The quadratic equation with integer coefficients that has the given solution set {-10, 9} is x² + x - 90 = 0.

What is a polynomial?

Polynomial is an equation written with terms of the form kx^n.

where k and n are positive integers.

There are quadratic polynomials and cubic polynomials.

Example:

2x³ + 4x² + 4x + 9 is a cubic polynomial.

4x² + 7x + 8 is a quadratic polynomial.

We have,

If the given solution set is {-10, 9}.

Then the quadratic equation can be written in factored form as:

(x + 10) (x - 9) = 0

Expanding the product,

x² + x - 90 = 0

Therefore,

The quadratic equation with integer coefficients that has the given solution set {-10, 9} is x² + x - 90 = 0.

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f(x) = -3x + 2 f(7) =

Answers

The value of the function is -19.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -3x + 2

Substitute x = 7.

f(7) = -3 x 7 + 2

f(7) = -21 + 2

f(-7) = -19

Thus,

-19 is the value.

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Which of the following are like terms?

Select 3 correct answer(s)
Question 1 options:

3x2 & 3x4


3x4 & 2x4


3y2 & 3x2


2x2 & 3x2


x2 & y2


2x & 3x


4x2 & 4x

Answers

The like terms in the given options are 3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x

What is like terms?

Terms whose variables (such as x or y) with any exponents (such as the 2 in x²) are the same are called like terms,

Examples: 7x and 2x are like terms because they are both "x".

Given are some pairs of expressions, we are asked to identify which are like terms,

We know that, according to the definition of the like terms,

Like terms are those terms which contain the same variable which is raised to the same power,

Therefore, the expressions showing the like terms are,

3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x

Because, they have same variable with same powers.

Hence, the like terms in the given options are 3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x

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Identifying a Graph from an Equation
Which graph represents a function with amplitude 4 and period pi?

Answers

The graph of the function f(x) = 4sin(2x) is illustrated in the image.

What are periodic functions?

A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.

Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.

We know sin(x) is a periodic function with amplitude 1 and a period of 2π.

Therefore, A periodic function with amplitude 4 and period π would be,

f(x) = 4sin(2x).

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Stacy says there is not enough information to prove that ACXBCX. Explain why​ Stacy's statement is incorrect.

Answers

Stacy's statement is incorrect because Stacey did not consider the side common side to both triangles such that by Reflexive Property of Congruence.

Reflexive Property of Congruence:

An angle, line segment, or shape is always congruent to itself, according to the reflexive characteristic of congruence in geometry.Stacey did not consider the side common side to both triangles such that by Reflexive Property of Congruence. Together with the two given angle congruencies, we can conclude that  by ASA.

Stacey did not consider the side common side to both triangles such that by Reflexive Property of Congruence.

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Let t
be the time in weeks. At time t=0
, organic waste is dumped into a pond. The oxygen level in the pond at time t
is given by

f(t)=t2−t+1t2+1
.

Assume f(0)=1
is the normal level of oxygen.
(a) On a separate piece of paper, graph this function.

(b) What will happen to the oxygen level in the lake as time goes on?

The oxygen level will eventually return to its normal level in the long-run.

(c) Approximately how many weeks must pass before the oxygen level returns to 75
% of its normal level?
weeks (Round to at least two decimal places.)

Answers

The graph is plotted and attached

The oxygen level will be increasing as time goes on

In 0.5 weeks the oxygen level will return to 75% of its normal level

What will happen to the oxygen level in the lake as time goes on?

This is the end behavior of the graph, of the function f(t) = t^2 − t + 1, the graph shows that as t tends to infinity. the oxygen level will continue to increase.

The graph is plotted and attached

From the problem. the normal level of oxygen is at f(0) = 1

75% of 1 = 0.75

From the graph, the oxygen level will return to normal level in 1 week(1, 1) and at 0.5 the oxygen level is 0.75, (0.5,0.75). This is the vertex of the graph.

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create a file lab2.py and define three classes, polygon, rectangle, triangle (see next page for a visual representation)

Answers

Lab2.py is a Python script that creates and manipulates three custom classes. The classes are as follows:

1. Person: This class stores information about a person, such as their name and age.

2. Student: This class inherits from the Person class and adds additional information, such as the student's major and GPA.

3. Instructor: This class also inherits from the Person class and adds additional information, such as the instructor's department and course load.

A file lab2.py and define three classes, polygon, rectangle, triangle is:

class Polygon:

 def __init__(self, number_of_sides):

   self.number_of_sides = number_of_sides

class Rectangle(Polygon):

 def __init__(self, length, width):

   Polygon.__init__(self, 4)

   self.length = length

   self.width = width

 def area(self):

   return self.length * self.width

class Triangle(Polygon):

 def __init__(self, base, height):

   Polygon.__init__(self, 3)

   self.base = base

   self.height = height

 def area(self):

   return 0.5 * self.base * self.height

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A group of friends’ dinner bill is $82.95 They want to leave a 15% tip. What is their total dinner bill, including tip?

Answers

The total dinner cost, including the tip, comes at $92.40.

What is the percentage of a number explained?The definition of percentage is "out of 100." In mathematics, percentages are used to represent parts of a whole, much as fractions and decimals.A sum is considered to be made up of 100 equal parts when expressed as a percentage. Use the symbol% to denote percentages in numbers.

A lunch for a few friends will set you back $82.95

They want to leave a 15% tip.

So,

Amount of tip:

15 % of 82.95 = 15*82.95 / 100

15 % of 82.95 = 12.4425

Total cost =  82.95 + 12.4425

Total cost =  95.3925

Total cost =  $92.40

Thus, the total dinner cost, including the tip, comes at $92.40.

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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4

Answers

The value of the equation is 4.19p = -6.1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

2.3p - 10.1 = 6.5p - 4 - 0.01p

On simplifying , we get

Adding 4 on both sides , we get

2.3p - 6.1p = 6.49p

Subtracting 2.3p on both sides , we get

4.19p = -6.1

Now , the value of the equation similar to 4.19p = -6.1 is 2.3p - 6.1p = 6.49p

Hence , the equation is 4.19p = -6.1

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question shown below

Answers

The equation of the graphed line can be found to be 2x + 2 y = 4

How to find the equation of the line ?

To find the equation of the line, you first need to find the slope which requires picking two points on the line. ( 4, 0 ) and ( 0, 2 )

The slope is:

= Change in y / Change in x

= ( 0 - 2 ) / ( 4 - 0 )

= - 2 / 4

= - 1 / 2

The equation form is:

y = mx + b

m = slope

b = y - intercept which is shown on the line as 2

The equation is:

y = - 1 / 2 x + 2

To put it in the form on the question,

( y = - 1 / 2 x + 2 ) x 2

2 y = - 2 x + 4

2x + 2 y = 4

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commutative property of (32)-5+7?

Answers

Answer:

= 34

Step-by-step explanation:

(32)-5+7

32 - 5 + 7

= 32 + 2

= 34.

(15x²+x²+7)-(6x² - 2x³)-7x²

Answers

Answer:

= 3x² + 7 +2x³.

Step-by-step explanation:

Here is my solution to my answer.

A car tire company is testing a new tire that has proposed improved performance in wet conditions. An experiment was performed on a closed, half-mile track in wet conditions with the same car and driver. Two trials were performed with standard and new Wet Condition tires. What would the tire company MOST LIKELY infer based on this data?
Responses
A There is no hypothesis provided.There is no hypothesis provided.
B The hypothesis was neither verified or refuted.The hypothesis was neither verified or refuted.
C The hypothesis of the company is refuted.The hypothesis of the company is refuted.
D The hypothesis of the company is verified.

Answers

Answer:

B

Step-by-step explanation:

Based on the information provided, it is not possible to determine the hypothesis of the tire company. Therefore, options C and D can be eliminated.

Option A suggests that no hypothesis was provided, which may be possible. However, it is implied that the hypothesis was related to the proposed improved performance in wet conditions of the new tire. Therefore, option A may not be the best answer.

Option B suggests that the hypothesis was neither verified nor refuted. This is a common outcome in many experiments, and it is possible that the tire company may draw this conclusion based on the data. Therefore, option B is the most likely answer.

So, the tire company MOST LIKELY would infer that the hypothesis was neither verified nor refuted based on this data.

Compute the probability of randomly drawing six cards from a standard deck of cards and getting four aces and two kings. Give your answer accurate to at least eight decimal places. Compute the probability that a five-card poker hand is dealt to you that contains all hearts. Give your answer accurate to at least six decimal places.

Answers

The probability of being dealt a five-card poker hand that contains all hearts is approximately 0.000495, or 0.0495%.

Probability is the measure of the likelihood of an event happening, and it is expressed as a number between 0 and 1. The closer the number is to 0, the less likely the event is to occur, and the closer it is to 1, the more likely it is to occur.

Now, let's look at the first question: what is the probability of drawing six cards from a standard deck of cards and getting four aces and two kings?

So, the number of combinations of six cards from a deck of 52 cards is:

52C6 = 52!/6!(52-6)! = 20,358,520

Next, we need to find out how many ways we can draw four aces and two kings from the deck. There are 4 aces and 4 kings in a standard deck of cards, so the number of ways to draw four aces and two kings is:

4C4 x 4C2 = 1 x 6 = 6

The first factor, 4C4, represents the number of ways to draw all 4 aces, and the second factor, 4C2, represents the number of ways to draw 2 kings from the remaining 4 kings.

Finally, we can calculate the probability of getting four aces and two kings by dividing the number of ways to draw four aces and two kings by the number of combinations of six cards from the deck:

P(four aces and two kings) = 6/20,358,520 = 0.000000294

So, the probability of randomly drawing six cards from a standard deck of cards and getting four aces and two kings is approximately 0.00000029, or 0.0000294%.

Now, let's move on to the second question: what is the probability that a five-card poker hand is dealt to you that contains all hearts?

In a standard deck of cards, there are 13 hearts and 52 cards in total, so the probability of drawing one heart from the deck is 13/52, or 1/4. The probability of drawing five hearts in a row is the product of the probabilities of drawing each heart, since each card is drawn without replacement:

P(five hearts) = (13/52) x (12/51) x (11/50) x (10/49) x (9/48) = 0.000495

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A line passes through point (-6, 1)and has a slope of 3. Write an equation in Ax+By=Cform for this line. CO Use integers for A, B, and C.​

Answers

An equation in Ax + By=C form for this line include the following: -3x + y = 19.

What is the point-slope form?

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

m represents the slope.x and y represents the data points.

At data point (-6, 1), a linear equation of this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (1) = 3(x - (-6))

y - 1 = 3x + 18

y = 3x + 18 + 1

y = 3x + 19

In standard form, we have:

-3x + y = 19.

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he auditors for a health insurance company are reviewing the bills from client's stays at hospitals from last year. the length of stay in days for hospital visits from 20 randomly sampled bills is provided below. use excel and the quartile.inc function to construct a box and whisker plot for the dataset. what is the value of the third quartile? round your answer to two decimal places. hospital length of stay (days) 7 6 7 6 7 8 3 2 6 provide your answer below:

Answers

The value of the third quartile is approximately 7.00, rounding it up to two decimal places.

In order to construct a box and whisker plot using Excel and the QUARTILE.INC function we will follow the steps -

Enter the data into a column in Excel.Select the column of data.Click on the "Insert" tab and select "Insert Statistic Chart."Choose "Box and Whisker" from the chart types.The box and whisker plot will be displayed.

Using the given data, the third quartile (Q3) can be found using the QUARTILE.INC function in Excel as follows -

Enter the data into a column in Excel.Use the formula =QUARTILE.INC(data, 3) to find the third quartile (Q3).

Using this method, rounding the result to two decimal places we get,

Q3 = QUARTILE.INC({7, 6, 7, 6, 7, 8, 3, 2, 6}, 3)

Q3 ≈ 7.00 (rounded to two decimal places)

Therefore, the value of the third quartile is approximately 7.00.

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Craig forgot to record the amount of the check he wrote to the hardware store. The statement from his bank shows an ending balance
of $521.60. What is the amount of the check Craig wrote to the hardware store? Define a variable for the unknown quantity. Write and
solve an equation to answer the question.

Answers

Answer: Let's call the amount of the check Craig wrote to the hardware store "x".

According to the problem, the statement from Craig's bank shows an ending balance of $521.60. This means that his balance before writing the check was $521.60 + x.

So, we can write the equation:

$521.60 + x = $521.60

Subtracting $521.60 from both sides:

x = 0

This means that Craig's check was for $0.

Step-by-step explanation:

1. Which of the following is not a variable cost?
A. wages paid to labor
B. seeds and fertilizers for paddy farmers
C. rent on land
D. electricity bills

Answers

Answer:

b

Step-by-step explanation:

b seeds snd fertilizer

How do you find a percentile of normal distribution (probability, probability theory, probability distributions, normal distribution, math)?

Answers

To find the percentile of a normal distribution, first determine the mean, then convert the interested value to a standard score, look-up the normal distribution table to find the area to the left of the normal score. Finally, multiply the area by 100.

Steps to find the percentile of a normal distributionDetermine the mean (μ) and standard deviation (σ) of the normal distribution.Convert the value you are interested in (i.e., the score) to a standard score (z-score) using the formula:

             z = (x - μ) / σ

        where x is the value of interest.

Look up the z-score in a standard normal distribution table to find the area (probability) to the left of the z-score.Multiply the area by 100 to get the percentile.

For example, suppose you want to find the percentile of a test score of 85, which comes from a normal distribution with a mean of 75 and a standard deviation of 10.

The mean (μ) is 75 and the standard deviation (σ) is 10.The z-score for a test score of 85 is:

            z = (85 - 75) / 10 = 1

Using a standard normal distribution table, we can find that the area to the left of a z-score of 1 is 0.8413.To find the percentile, we multiply the area by 100:

           0.8413 * 100 = 84.13

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Identify the function of the figure below this is trigonometry by the way

Answers

The graph shown is the graph of the cotangent function.

What is the graph of Cotangent?

The graph of the cotangent function, cot(x), is a periodic function that has a period of 2π. The cotangent function is the reciprocal of the tangent function, so its graph is related to the graph of the tangent function.

Like the tangent function, the cotangent function has singularities at x = (n + 1/2)π where n is an integer. At these points, the function has a vertical asymptote, meaning it approaches positive and negative infinity as x approaches (n + 1/2)π from either side.

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"The present year witnesses the completion of the most important enterprise of the kind ever executed in any country a line of railroad from the Missouri River across the Continent, and with connecting lines from the Atlantic to Pacific Ocean. . . . the influence of these works . . . upon the commerce and welfare of this country must be immense. A vast commerce, yet in its infancy, already exists between the two shores of the Continent."-Source: Henry Varnum Poor, Manual of the Railroads of the United States, 1869-1870, 1889Which of the following most directly contributed to the developments described in the excerpt?answer choicestrade agreements and partnerships with European and Asian countriesgovernment loans to support railroad construction in the Westfederal legislation that gave land to families willing to work western landUnited States victory over the Confederate states in the Civil War Is Peter Brand from Moneyball real? which of these existential quantifications are true, where the domain of x is the positive integers? what are the harmful and beneficial effects of caffeine? 5. If a women starts ovulating at 13 and stops at 50 a) How many ova are likely to be released from her ovaries b) About how many of these are likely to be fertilized A flask filled with carbon dioxide is heated from 10. C to 40. C. The starting pressure was 98 kPa, what is the final pressure? What is the ending of Helter Skelter movie? Which of the following statements about functional strategy is BEST?A) Functional strategies are not impacted by the mission statement; instead they are impacted by the overall business strategy.B) Functional strategies determine the overall business strategy.C) Many functional-level strategies could readily be described as cross-functional.D) A firm's operations and supply chain strategy is more important than their marketing, finance and engineering strategies which of the following would be considered to be an operating expense for a computer manufacturing firm? question 28 options: accountant's wages assembly line wages disk drives memory chips speakers\ The dominance pattern of a gene can be determined from the phenotypes of the parents and offspring. In the examples below, assume that each parent is homozygous for the specific allele and that the progeny are heterozygous. Classify each example as either complete dominance, incomplete dominance, or codominance. Classily each example as either complete dominance, incomplete dominance, or codominance. Complete dominance Incomplete dominance Codominance A mother with type A blood and a father with type B blood have a daughter with type AB blood. A mother with straight hair and a father with curly hair have a son with wavy hair A green fish and a yellow fish have mottled green and yellow offspring. A black sheep and a white sheep produce a gray lamb. A pea plant with all purple flowers and a pea plant with all white flowers produce a pea plant with all purple flowers select all that apply standard deviations can be compared multiple select question. for data sets with different measurement units. for data sets with the same measurement units but greatly different magnitudes. only for data sets with the same measurement units and similar magnitude. only for data sets with the same measurement units. How do I enable console commands in HOI4? The conservation club coordinator is recruiting volunteers to help build a shed for recycling. She knows that finishing the shed will take 120 work hours. She figures out that if she can find one more person to help, the project will take a half hour less per volunteer. How many volunteers have already signed up? physics conclusion question:explain why the reading on a scale would be less after leaving the top floor and heading downward. How many sources do you need as a minimum?a. 3b. 5c. 7d. No answer text provided. How many graphic aids do you need minimum?a. 1b. 2c. 3d.No answer text provided. The cost of an air conditioner is $110. The cost to run the air conditioner is $0.35 perminute.What is the range of the situation above? What is the equation of this graph Help me simplify it pls why should a speaker avoid stereotyping the audience? favors intermediate phenotypes, selecting against phenotypes at both ends of a range and reducing variation.