The probability of selecting 3 female employees and 7 male employees to win a promotional trip a company with 10 female and 50 male employees would best be modeled with the _______.

Answers

Answer 1

Answer:

The best model is hypergeometric distribution.

Step-by-step explanation:

The probability would be best modeled with hypergeometric distribution.

Hypergeometric distribution is a discrete probability distribution that describes the probability of successes in draws, without replacement, which is often employed in random sampling for statistical quality control.

The hypergeometric distribution differs from the binomial distribution in the lack of replacements.

Thus, the best model is hypergeometric distribution.


Related Questions

What is this? Please answer with an explanation

Answers

-5 would be the answer

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = - [tex]\sqrt{x+11}[/tex] - 3 ← substitute x = - 7

f(- 7) = - [tex]\sqrt{-7+11}[/tex] - 3

       = - [tex]\sqrt{4}[/tex] - 3

       = - 2 - 3

       = - 5 ← output is real

Find the LCD of the given rational equation

Answers

Answer:

[tex]=\frac{2x^3+x^2-11x+14}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]

Step-by-step explanation:

Step 1: Factor [tex]x² + 2x - 8: (x - 2) (x + 4)[/tex]

[tex]=\frac{x}{x+4}+\frac{x-1}{x+2}+\frac{3}{\left(x-2\right)\left(x+4\right)}[/tex]

Step 2: Find the Least Common Multiplier of  [tex]x + 4, x - 2, (x + 4), (x - 2)[/tex]

= [tex](x + 4) (x + 2) (x - 2)[/tex]

Step 3a: Conform the fractions based on the LCM (Least Common Multiplier)

= [tex]\frac{x\left(x+2\right)\left(x-2\right)}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}+\frac{\left(x-1\right)\left(x+4\right)\left(x-2\right)}{\left(x+2\right)\left(x+4\right)\left(x-2\right)}+\frac{3\left(x+2\right)}{\left(x-2\right)\left(x+4\right)\left(x+2\right)}[/tex]

Step 3b: The denominators are equal, so combine the fractions.

[tex]=\frac{x\left(x+2\right)\left(x-2\right)+\left(x-1\right)\left(x+4\right)\left(x-2\right)+3\left(x+2\right)}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]

Step 4: Expand [tex]x(x + 2)(x - 2) +(x-1)(x+4)(x-2) + 3(x-2)[/tex]

[tex]=\frac{2x^3+x^2-11x+14}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]

Have a great day!

5 - 2 (a + 3b) / 2 = ? / ?

Answers

Answer:

(5-2a+6b)/2

Step-by-step explanation:

According to PEMDAS, we would multiply 2 by (a+3b) first. This would equal 2a+6b. Since this is being subtracted from 5, the numerator would equal 5-2a+6b. This would bring the simplified answer to (5-2a+6b)/2

Express the number 6.13 x 10
in decimal notation.

Answers

Answer:

I think its 61.3

Step-by-step explanation:

dont be mad if its wrong. also 10 has one zero so you move the decimal place once to the right

61.3

because you would move the decimal over.

express 0.361 as a fraction

Answers

Answer:

361/1000

Hope I helped

Answer:

179/495

Step-by-step explanation:

x = 0.3616161..........  ---------------(I)

Multiply by 1000

1000x = 361.616161......

Multiply (I) by 10

10x = 3.616161........

1000x = 361.6161......

   10x =      3.6161........   {Now subtract}

 990x=  358

        x = 358/990

x = 179/495

what's the 9th term of the fibonacci sequence

Answers

Answer:

21

Step-by-step explanation:

i hope this helps :)

Answer:

.where is the explanation?

Natalia solved the problem 74.4/12=6.2. complete the model with partial products check Natalia's work using multiplication

Answers

Answer:

Natalia's work is wrong.

Step-by-step explanation:

Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:

1) [tex]x = 6.2\times 12[/tex] Given.

2) [tex]x = \left(6+0.2\right)\times 12[/tex] Definition of addition.

3) [tex]x = 6\times 12 + 0.2\times 12[/tex] Distributive property.

4) [tex]x = 72 + \frac{2}{10}\times 12[/tex] Definitions of multiplication and decimal number.

5) [tex]x = 72 +[2\cdot (10)^{-1}]\cdot 12[/tex] Definition of division/Associative property.

6) [tex]x = 72 + [2\cdot 12]\cdot (10)^{-1}[/tex] Associative property.

7) [tex]x = 72 + 24\cdot 10^{-1}[/tex] Definition of multiplication.

8) [tex]x = 72 + \frac{24}{10}[/tex] Definition of divsion.

9) [tex]x = 72 + 2.4[/tex] Defintion of decimal number.

10) [tex]x = 74.4[/tex] Definition of addition/Result

Natalia's work is wrong.

How does saving money in an account with compound interest help protect you from inflation?

Answers

Answer:

Inflation is caused by the increase in prices of goods, and as prices of goods rise, the value of money itself would decrease. By saving money in a savings account with interest that might be equal or more than the level of inflation, your money would increase, which protects you from the devaluation of the savings you hold and the rising prices of goods.

z=−24i−19
Re(z)=
Im(z)=

Answers

9514 1404 393

Answer:

Re(z) = -19Im(z) = -24

Step-by-step explanation:

There is some disagreement over whether the "imaginary part" includes the factor "i" or not. Here, we assume it is simply the coefficient of i.

  Re(z) = -19 . . . . the part that does not have a factor of i

  Im(z) = -24 . . . . the coefficient of i

186 = 6 (3n + 7) answer for N

Answers

n=8 is the correct answer

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

186 = 6(3n + 7)

Step 2: Solve for n

Divide 6 on both sides:                    31 = 3n + 7Isolate n term:                                   24 = 3nIsolate n:                                            8 = nRewrite:                                             n = 8

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Substitute in n:                    186 = 6(3(8) + 7)Multiply:                               186 = 6(24 + 7)Add:                                     186 = 6(31)Multiply:                               186 = 186

Here we see that 186 does indeed equal 186.

∴ n = 8 is the solution to the equation.

Simplify -6
.
2
041
318
4
8
318

Answers

[tex] - 6 \frac{1}{4} - ( - 2 \frac{1}{8} )[/tex]

[tex] = - 6 \frac{1}{4} + 2 \frac{1}{8} [/tex]

[tex] = \frac{ - 25}{4} + \frac{17}{8} [/tex]

[tex] = \frac{ - 50}{8} + \frac{17}{8} [/tex]

[tex] = \frac{ - 50 + 17}{8} [/tex]

[tex] = \frac{ - 33}{8} [/tex]

[tex] = - 4 \frac{1}{8} [/tex]

I have been on this problem for 20 minutes!! help!!

Answers

Answer:

I THINK Vertical ( I'm not positive) Goodluck

Answer:

B) Decreasing

It getting smaller every time

What should the following rate be divided by to convert it to a unit rate?
6 inches
12 hours


A.12/12
B.2/2
C.12
D.6/6

Answers

Answer:

Can someone help, please?

-1/2(7z+4)+1/5(5z-15)

Answer:

21

Step-by-step explanation:

bc i said

9x2+4y2 = 36
The foci are located at:
O(-V5,0) and (V5, 0)
0 (-V13, 0) and (V13, 0)
0 (0, -V5) and (0, V5)

Answers

Answer:

The foci of the given ellipse  = (0 ,-√5 ) and ( 0, √5 )

Step-by-step explanation:

Step(i):-

Given Ellipse   9 x² + 4 y² = 36

                     [tex]\frac{9x^{2} }{36} + \frac{4y^{2} }{36} =1[/tex]

               ⇒     [tex]\frac{x^{2} }{4} + \frac{y^{2} }{9} = 1[/tex]

Step(ii):-

  The Major axis lies on y-axis

   Foci of the Formula C² = a² -b² = 9-4 =5

                                 C = √5

The Foci is always lie on the major axis(longest) axis, spaced equally each side of the centre

Given ellipse of the foci is lie on Y- axis

Final answer:-

The foci of the given ellipse  = (0 ,-√5 ) and ( 0, √5 )

12+(8divided by 2/3)- 2

Answers

Answer:

22

Step-by-step explanation:

12+(8/(2/3)-2

22

Answer:

22

Step-by-step explanation:

First divide 8 by 2/3 ( since it’s in parentheses) and that gives you 12. Then add 12 + the 12 that was in parentheses. That leaves you with 24-2 which equals 22.

Which number line shows -3, -2, 1, and 3 correctly plotted?

Answers

Answer:

i need a picture of the graphs

Step-by-step explanation:

There is a bag with 10 balls inside it. 2
are footballs, 3 are soccer balls, 1 is a
softball, 2 are baseballs, and 2 are
basketballs. If you were to reach in and
grab one ball, what is the probability
that it is a softball or not a basketball?
Enter your answer in simplest form.

P(softball or not a basketball)=

Answers

The probability of grabbing a ball that is either a softball or not a basketball is 9/10, or 0.9 when expressed as a decimal.

What is probability?

The likelihood or chance of an event occurring is measured by probability. Usually, it is stated as a number between 0 and 1, where 0 denotes an event's impossibility and 1 denotes its certainty.

According to question:

There are 10 balls in total, and 2 of them are basketballs. So the number of balls that are not basketballs is 10 - 2 = 8.

Of these 8 balls, we know that 1 is a softball. So the number of balls that are either a softball or not a basketball is 1 + 8 = 9.

Therefore, the probability of grabbing a ball that is either a softball or not a basketball is:

P(softball or not a basketball) = 9/10

So the probability of grabbing a ball that is either a softball or not a basketball is 9/10, or 0.9 when expressed as a decimal.

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How do you calculate 1/4 of 4 dozen and get the correct answer?

Answers

Answer:

4 dozen is equal to 48

divide that by 4 which would equal 12 or one dozen

Answer:

12

Step-by-step explanation:

1 dozen is equal to 12, so 4 dozen is (12×4) is 48. 48 x 1/4 =12.

Simply: 1/4 of 4 dozen is 1 dozen

Ann writes the inequality d ≤ 16, where d equals the number of days, to represent this scenario.

Answers

Answer:

Answer is C

Step-by-step explanation:

A scenario describing the inequality {d ≤ 16} is given below.

What is inequality?

An inequality compares two or more numbers or expressions with one another. For example -

2x + 4y > 7

2x + 5y < 6

Given is that Ann writes the inequality d ≤ 16, where { d } equals the number of days.

A scenerio to represent this inequality is -

" Mike was not able pay the rent for the past 2 months. His landlord had asked him to pay the total rent within the 16 days."

Therefore, we can represent the given inequality as a scenario mentioned above.

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The slope of the line below is -5. Which of the following is the point-slope
form of the line?

A. y-8=-5(x+2)
B. y+8=-5(x-2)
C.y+8=5(x-2)
D.y-8=5(x+2)

Answers

Answer:

It Is A.y-8=-5(x+2)

Step-by-step explanation:

help please help mesda

Answers

100, 225, 360, and 550

Answer:

25, 25, 22.5, 22

Step-by-step explanation:

It gives you a hint; K = y/x. They give you what x and y are so use that to solve for the last row.

We are given all of these values:

x -> 2, 3, 4, 5

y -> 50, 75, 90, 110

Use the formula given and solve for K.

50/2 = 25

75/3 = 25

90/4 = 22.5

110/5 = 22

Best of Luck!

.The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations, how far does the bike travel?

Answers

Answer:

1271.7in

Step-by-step explanation:

A complete rotation is = circumference of the wheel.

So calculate the circumference which is pi times diameter.

27 times pi (which is 3.14) = 84.78in   one rotation

so if you make 15 rotations, you are multiplying it by 15

15 x 84.78 = 1271.7in

consider the fibonacci sequence below, which is the first term in the sequence to exceed 120?
1,1,2,3,,5,8

Answers

Answer:

144

Step-by-step explanation:

The sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946

so you can see the first term larger than 120 is the 144.

The first term in the sequence to exceed 120 will be 144.

What are sequence and series?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The sequence is given below.

1, 1, 2, 3, 5, 8.

The sequence is given as,

aₙ = aₙ₋₁ + aₙ₋₂

The first and second terms are given as,

a₁ = 1 and a₂ = 1

Then the 7th term is given as,

a₇ = a₆ + a₅

a₇ = 5 + 8

a₇ = 13

Then the 8th term is given as,

a₈ = a₇ + a₆

a₈ = 13 + 8

a₈ = 21

Then the 12th term is given as,

a₁₂ = a₁₁ + a₁₀

a₁₂ = 89  + 55

a₁₂ = 144

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, and 144.

The first term in the sequence to exceed 120 will be 144.

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Which of the following is the best definition of a statistical population?

a. The distribution of all possible values that can be assumed by some statistic, computed from samples of different sizes randomly drawn from different populations.
b. Distribution of some characteristic based on individual observations – for each individual unit we measure the characteristic and then look at the distribution of all of these values.
c. The distribution of all possible values that can be assumed by some statistic, computed from samples of the same size randomly drawn from the same population.
d. The distribution of all possible values that can be assumed by some parameter, computed from a single sample randomly drawn from some population.

Answers

c. The distribution of all possible values that can be assumed by some statistic, computed from samples of the same size randomly drawn from the same population.

c. The distribution of all possible values that can be assumed by some statistic, computed from samples of the same size randomly drawn from the same population.

What is the statistical population?

A population is the group of people from which a statistical sample is taken in statistics. Therefore, a population is any collection of people who have something in common. A statistically significant portion of a population, rather than the full population, may also be referred to as a sample.

When surveying a big number of people, it is just impracticable to examine everyone who fits the description you are looking at using a population parameter. It is often easier to study a smaller sample of participants, but by applying inferential statistics, it is possible to get a good approximation of the population parameter.

thus, statistical population is the distribution of all of the statistics calculated from all possible samples of the same size.

Therefore, The statistical population, which is calculated from samples of the same size randomly selected from the same population, is the distribution of all potential values that can be assumed by a statistic.

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Which expression represents
"thirty-eight less than the sum of forty and nineteen"?
A 38 – 40 + 19
® 38 - (40 – 19)
19+ (40 – 38)
D (40+ 19) – 38

Answers

Answer:

(40+ 19) – 38

Step-by-step explanation:

We need to find the expression for "thirty-eight less than the sum of forty and nineteen".

Sum of forty and nineteen = 40 + 19

38 less than the above is 40 + 19 - 38

Overall expression is :

(40 + 19) - 38

Hence, the correct option is (d) "(40+ 19) – 38".

A coordinate plane with a line passing through (negative 3, 2) and (0, 3) Find the linear function represented by the graph. The slope of the line is . The y-intercept of the line is at ✔ 3 . What linear function is represented by the graph?

Answers

Answer:

Step-by-step explanation:

Answer:

Look at step by step explanation

Step-by-step explanation:

If this is edgenunity here are your 3 answers

slope: 1/3

The y- intercept 3

Linear function f(x) = (1/3)x+3

HELP ASAP PLEASE
What is the equation of the line tangent to the function f(x) = 1 – x2 at x = –3?
y = 6x + 10
y = 6x + 26
y = –6x – 8
y = –6x – 26

Answers

Plug the formula into Desmos and even just visually

C.  " y = -6x - 8

is the answer

The equation of the line tangent to the function f(x) = 1 – x² at x = –3 will be y = –6x – 8. Option C is correct.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the function is,f(x) = 1 – x²

We have to find the equation of the line tangent to the function f(x) = 1 – x² at x = –3.

Determine the function's first derivative f(x), To get the slope at a given location, plug the specified point's x value into f'(x). To determine the tangent point's y coordinate, plug the value of x into f(x). The point-slope formula may be used to combine the slope from step 2 with the point from step 3 to produce the equation for the tangent line.

Thus, the equation of the line tangent to the function f(x) = 1 – x² at x = –3 will be y = –6x – 8.Option C is correct.

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Use the Distributive Property on the
equation below.
3(4y + 3) = [ ? ]y +[ ]

Answers

Answer:

12y+9

Step-by-step explanation:

What is 8/25 as a decimal representation and as a percent representation please answer thank you

Answers

Answer:

decimal: 0.32 percent: 32%

Step-by-step explanation:

ngl i kinda wanna boo anyone down :)

Answers

Answer:yo it’s me leo remember me my acount got deleted

Step-by-step explanation:

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