13. A class has 10 students of which 4 are male and 6 are female. If 3 students are chosen at random from the class, find the probability of selecting 2 females using binomial approximation. a) 0.288 b) 0.720 c) 0.432 d) 0.240

Answer:

y=-3x+3

Step-by-step explanation:

sorry if its wrong im not the best at math.

Answer:

  42, 38, 34, 30

Step-by-step explanation:

You want the first 4 terms of the sequence described by ...

  an = 42 -4(n -1), n ∈ ℕ

You can write the first 4 terms of the sequence by evaluating the 'an' expression for n = 1, 2, 3, 4.

Or, you can recognize the expression describes a sequence with a first term of 42 and a common difference of -4. That is, each term is 4 less than the one before.

The terms you want are ...

  42, 38, 34, 30

__

Additional comment

The equation for the n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

where a1 is the first term, and d is the common difference. Comparing this to the given equation, we see a1 = 42, d = -4.

<95141404393>

Answer:

Evaluate: 12a - 24b - 4

The mean of a binomial probability distribution with p = 0.32 and n = 150 is 48

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success, denoted by p. In the case of a binomial distribution with n trials and probability of success p, the mean, or expected value, is equal to the product of the number of trials and the probability of success, which is np.

In this case, the problem provides the values of p and n, which are p = 0.32 and n = 150, respectively. Therefore, the mean can be calculated by multiplying these two values

μ = np = 150 x 0.32 = 48

Learn more about binomial probability distribution here

brainly.com/question/30786502

#SPJ4

Answer:

Because every outcome is equally likely, and the probability of the sample space must be 1, we can prove that each outcome must have probability: P ( an outcome ) = 1 | S | Where |S| is the size of the sample space, or, put in other words, the total number of outcomes of the experiment.

Step-by-step explanation:

The Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated. The Publicity Test indicates that the decision has been well received and is aligned with public expectations.

- The Publicity Test is designed to assess whether the decision or action can withstand public scrutiny and be disclosed openly.

- I score this test an 8 because the decision or action in question has already been made public and received positive feedback from various stakeholders.

- The organization has been transparent in its communication, engaging with the public and addressing concerns promptly.

- The decision aligns with the organization's values and mission, which resonates positively with the public.

- The organization has effectively managed any potential negative publicity by proactively addressing criticisms and providing clear justifications for the decision.

- Overall, the Publicity Test indicates that the decision has been well received and is aligned with public expectations.

The Moral Mentor Test Score: 6

- The Moral Mentor Test evaluates the decision or action by considering whether it reflects the guidance of a wise and ethical mentor.

- I score this test a 6 because while the decision is generally ethical, there are some potential ethical dilemmas that need to be carefully addressed.

- The decision has considered the welfare of various stakeholders and adheres to legal and regulatory frameworks.

- However, there might be some moral complexities associated with certain aspects of the decision that need further evaluation.

- It is important for the organization to seek guidance from ethical experts and consider potential long-term consequences to ensure the decision aligns with the principles of a moral mentor.

- Overall, the Moral Mentor Test suggests that the decision is on the right track but requires careful ethical analysis and considerations.

The Admired Observer Test Score: 9

- The Admired Observer Test assesses whether the decision or action would be approved by an admired and objective observer.

- I score this test a 9 because the decision demonstrates a high level of integrity and is likely to be approved by an objective observer.

- The decision is aligned with industry best practices and follows ethical guidelines.

- It takes into account the interests of various stakeholders and aims to maximize positive outcomes for all parties involved.

- The decision is well-reasoned, considering both short-term and long-term implications.

- Overall, the Admired Observer Test indicates that the decision is commendable and likely to be seen as fair and ethical by an objective observer.

The Transparency Test Score: 7

- The Transparency Test evaluates whether the decision-making process is transparent and accountable.

- I score this test a 7 because while the decision-making process has been relatively transparent, there is room for improvement.

- The organization has provided some level of information and rationale behind the decision, but there may be areas where more transparency is required.

- It is essential for the organization to proactively communicate the decision, its underlying factors, and potential impacts to ensure stakeholders have a clear understanding.

- Increasing transparency can help build trust and mitigate any potential misunderstandings or mistrust.

- The Person in the Mirror Test assesses whether the decision or action aligns with the individual's values and principles.

- I score this test an 8 because the decision demonstrates alignment with the individual's values and principles.

- The decision-maker has considered the ethical implications and personal integrity while making the decision.

- The decision reflects a commitment to fairness, honesty, and accountability.

I score this test a 9 because the decision demonstrates a high level of empathy and fairness towards others.

- The decision considers the interests and well-being of various stakeholders, treating them with respect and dignity.

- It reflects a commitment to fairness, equality, and reciprocity in relationships.

- The organization has taken steps to ensure that the decision does not cause harm or disproportionately benefit any specific group.

- Overall, the Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated.

Learn more about empathy here

https://brainly.com/question/20047598

#SPJ11

The polynomial function with leading coefficient of 3 and root -4, i, and 2 all with multiplicity of 1 is f(x) = 3(x+4)(x-i)(x+2)

The Leading coefficients are the numbers written in front of the variable with the largest exponent.

Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to zero.

The multiplicity is the number of times a given factor appears in the factored form of the equation of a polynomial.

Therefore, the polynomial f(x) = 3(x+4)(x-i)(x+2) has a root -4 , 1 and -2.

The leading coefficient is 3. The multiplicity is all one.

learn more on polynomial here: https://brainly.com/question/13309002

#SPJ4

Answer:

d

Step-by-step explanation:

The solution of the exponential expression will be a⁹.

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied.

Given exponential expression is (a⁻¹ x a⁻²)⁻³. The expression will be solved as below,

E = (a⁻¹ x a⁻²)⁻³

The base is the same and the variables are in multiplication with powers then the powers will be added,

E = (a⁻³)⁻³

E = a⁹

Therefore, the solution of the exponential expression will be a⁹.

To know more about exponential expressions follow

https://brainly.com/question/2456547

#SPJ1

Answer: 216 cm^2

Step-by-step explanation:

The equation finds the area of the cube is

6 * S^2

6 (6^2) = 216 cm^2

Answer:

how much does it say that x equals?

Answer: $ 165,019.34

Step-by-step explanation: I used this formula to calculate it "A = Pe^rt."

I'm not sure if it's correct but I tried.

A = P + I where

P (principal) = $ 50,000.00

I (interest) = $ 115,019.34

The balance of the account will be 1500 in a period of 8.31 years.

Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.

(a) The final amount in a compound interest is,

A = P(1 + \(\frac{r}{n}\) )^ (nt), where,

A : Final amount

P : Principal amount

r : Rate of interest

t : Time in years

n : number of times compounded in a year

Given A = $1500, P = $1000, r = 0.05, n = 1

The equation is,

1500 = 1000 (1 + 0.05)^t

(b) 1500 = 1000 (1 + 0.05)^t

1500 / 1000 = (1.05)^t

1.5 = (1.05)^t

Taking logarithm on both sides,

㏒ (1.5) = t ㏒ (1.05)         [since ㏒ (a)ᵇ = b ㏒ (a)]

t = ㏒ (1.5) / ㏒ (1.05)

t = 8.31 years

Hence the amount will be $1500 in 8.31 years.

Learn more about Compound Interest here :

https://brainly.com/question/14295570

#SPJ9

The inequality of the statement is y/4 ≤ 19

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

A mathematical statement represented as

the quotient of y and 4 is at most 19

The variable in the above statement is y

This means that the quotient of y and 4 cannot exceed 19

The term cannot exceed implies less than or equal to

So, we have the following representation

y/4 ≤ 19

Hence, the statement is

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

If the owner's beliefs are correct,  the probability of being awarded the second job (Event B) is 0.5 . Event A and Event B are not mutually exclusive and are independent and must be true for event A and event B.

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Additionally, the proportion of positive outcomes cannot be negative. In the sections that follow, let's go into greater detail on the fundamentals of probability.

Know more about probability at:

brainly.com/question/24756209

#SPJ4

Step-by-step explanation:

the answer is 27

please mark me the brainliest

5,

O, Y, M, I and A would look the same in a reflection as they are symmetrical

The slope is \(\frac{3}{4}\)

What is slope ?

 A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane can aid in determining whether the line is parallel, perpendicular, or not. Any two clearly separated points on a line can be used to calculate the slope of any line. Calculated using the slope of a line formula, the ratio of "vertical change" to "horizontal change" between two different locations on a line is determined.

here the given two pints are

\((x_1,y_1)=(-2,4)\\(x_2,y_2)=(6,10)\)

Now using slope formula,

slope m = \(\frac{y_2-y_1}{x_2-x_1}\)

=> slope m = \(\frac{10-4}{6+2}\)

=> slope m = \(\frac{6}{8}\)

=> slope m = \(\frac{3}{4}\)

Therefore the slope is \(\frac{3}{4}\).

To learn more about slope

https://brainly.com/question/12651221

#SPJ1

Answer:

D

Step-by-step explanation:

9(3)^-4

3^2 × (3^-4)

in algebraic expression a^n × a^m = a^n+m

3^2+(-4)

3^-2

but 3^-2 = 1/3²

1/3²= 1/9

The option (4) is correct i.e., when \(x=-4\) then

\(f(x) = 9(3)^x\\\\f(x)=\frac{1}{9}\)

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

\(f(x)=9(3)^x\\\\\\x=-4\\\\\\f(-4)=9(3)^{-4}\\\\f(-4)=\frac{9}{(3)^4}\\\\f(-4)=\frac{9}{81}\\\\f(-4)=\frac{1}{9}\)

Hence, the option (4) is correct i.e., when \(x=-4\) then

\(f(x) = 9(3)^x\\\\f(x)=\frac{1}{9}\)

To know more about the equation

https://brainly.com/question/12788590

#SPJ2

A linear function models the number of calories a 150-lb person burns from walking at a pace of 3 mph for x minutes  we can write the linear function:y = 3.76x - 0.4

In this scenario, Kevin weighs about 150 lb and walks at a pace of about 3 mph. When he walks for 15 min, he burns 56 Cal and when he walks for 60 min, he burns 225 Cal. From this information, we can write a linear function that models the number of calories a 150-lb person burns from walking at a pace of 3 mph for x minutes.

Linear function is an equation that represents a straight line on a graph. The general form of a linear function is y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.

The information given in the scenario that enables us to write a linear function is the rate at which Kevin burns calories while walking for different durations. Since Kevin burns 56 Cal in 15 min and 225 Cal in 60 min, we can use these two data points to find the slope of the line.

Slope (m) = (y₂ - y₁) / (x₂ - x₁)where (x₁, y₁) = (15, 56) and (x₂, y₂) = (60, 225)Slope (m) = (225 - 56) / (60 - 15)Slope (m) = 169 / 45Slope (m) = 3.76 (approximately)Therefore, the slope of the line that models the number of calories a 150-lb person burns from walking at a pace of 3 mph is 3.76.

Now we need to find the y-intercept (b). We can use any of the two data points to find the y-intercept. Let's use the first data point (15, 56).y = mx + by = 3.76x + b56 = 3.76(15) + bb = 56 - 56.4b = -0.4 (approximately)Therefore, the y-intercept of the line that models the number of calories a 150-lb person burns from walking at a pace of 3 mph is -0.4.

Now we can write the linear function:y = 3.76x - 0.4This function models the number of calories a 150-lb person burns from walking at a pace of 3 mph for x minutes.

To know more about pace refer here:

https://brainly.com/question/4957057#

#SPJ11

Answer:

moderate since the lines are similar

If there are 16 wins and 84 losses in 100 trials of simulation of rolling two dice, then the proportion of wins is 16%.

To determine the proportion of wins in 100 trials of rolling two dice, we need to divide the number of wins by the total number of trials and multiply by 100. In this case, the number of wins is 16 and the total number of trials is 100. So, the proportion of wins would be:

= (16 / 100) × 100

= 16%

So, the proportion of wins in 100 trials of this simulation is 16% and it has been rounded to two decimal places.

To know more on ratio or proportion

https://brainly.com/question/29087750

#SPJ4

Answer:

0.16

Step-by-step explanation:

Ava 2022

The answer to the correct number of significant figures is 42.21

When adding decimal numbers, the number of significance of the resulting value will be to the least decimal numbers in the given expression.

Given the sum of decimal shown

41.70 + 0.506 + 0.00223

Using the calculator to take the sum

41.70 + 0.506 + 0.00223 = 42.20823

Since the significance value in the expression is 4, hence we will round the result to 4sf to have 42.21

Learn more on addition of decimal here: https://brainly.com/question/19127052

#SPJ1

Answer:

40162.50

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

so you know that both of them are even so you can just divide them by positive numbers, and the highest one that goes into both of them are 8.

Answer:

C

Step-by-step explanation:

C

Answer:

Step-by-step explanation:

Answer:use some caulk

Step-by-step explanation:

I am a handy man myself