I'll give brainliest to who can answer this!

Suppose that a die is made by marking the faces of a regular dodecahedron with the numbers 1 through 12. We are to determine the probability that on exactly three of six tosses, a number less than 4 turns up.

We note that the sum of the numbers on the faces of the die is 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 = 78. Thus the expected value of the face is E(X) = (1 + 2 + 3 + ... + 12)/12 = 78/12 = 6.5.

To compute the probability that on exactly three of six tosses, a number less than 4 turns up, we use the binomial distribution with n = 6 and p = 3/12 = 1/4. The probability that on exactly three of six tosses, a number less than 4 turns up is P(X = 3) = (6 choose 3)(1/4)^3(3/4)^3= 20(1/64)(27/64)= 27/160 or 0.169.

So, the required probability that on exactly three of six tosses, a number less than 4 turns up is 27/160 or 0.169.

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Answer:

y = 5 - 2x

Step-by-step explanation:

Answer:

y=5-2x

Step-by-step explanation:

\(3y = 15 - 6x\)

\(y = \frac{15 - 6x}{3} \)

if you divided it

\(y = 5 - 2x\)

i think this is the answer

Answer:

d.$33062 payment will go towards the interest

The regression analysis reveals that years of education and years of work experience have a statistically significant impact on annual salary, as indicated by the R-squared value.

The computer output from the multiple regression analysis provides information on the relationship between annual salary and two independent variables: years of education and years of work experience. The coefficient of determination, R-squared, is 0.5434, indicating that approximately 54.34% of the variability in annual salary can be explained by the combined effect of education and work experience. The multiple correlation coefficient, denoted as R, is 0.7372, suggesting a moderate positive correlation between the independent variables and annual salary.

The adjusted R-squared value of 0.5235 takes into account the number of predictors and the sample size, providing a more accurate measure of the model's goodness-of-fit. The standard error, 2120.6606, represents the average deviation of the observed salaries from the predicted values based on the regression model. The analysis is based on 49 observations.

In summary, the regression analysis reveals that years of education and years of work experience have a statistically significant impact on annual salary, as indicated by the R-squared value. However, it is important to note that there may be other factors not included in the analysis that also contribute to salary variations. To gain a more comprehensive understanding of the relationship between annual salary, education, and work experience, additional research and analysis may be necessary.

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Answer:

(C)

Step-by-step explanation:

plz give brainlist

The function whose derivative is f'(x) = x^(-1) is f(x) = ln(x) + C, where C is the constant that needs to be found.

To find C, we can use the point (1, 3). Plugging x = 1 and y = 3 into the equation f(x) = ln(x) + C, we get 3 = ln(1) + C, so C = 3 - ln(1). Therefore, the function is f(x) = ln(x) + 3 - ln(1). This can also be written as f(x) = ln(x) + 2.  

The function whose derivative is f'(x) = x1/x is given by f(x) = ln|x| + c, where c is a constant. To find the constant c, we can use the point (1, 3). We know that if a function passes through the point (1, 3), then f(1) = 3. Therefore, we can substitute x = 1 into f(x) to find c.

This gives us ln|1| + c = 3, or c = 3. Therefore, the function that satisfies the given conditions is f(x) = ln|x| + 3. We can check this by taking the derivative of f(x):

To calculate the value of f(x), we can substitute the value of x into th equation. For example, to find the value o f(4), we would calculate f(4) = ln(4) + 2 = 1.38629 + 2 = 3.38629.

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Answer: 192

Step-by-step explanation:

(22.14-19.58)x75

The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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Answer:

idt this is right..... sorry if this is wrong...

Step-by-step explanation:

I = $ 8,000.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 200%/100 = 2 per year,

then, solving our equation

I = 1000 × 2 × 4 = 8000

I = $ 8,000.00

The simple interest accumulated

on a principal of $ 1,000.00

at a rate of 200% per year

for 4 years is $ 8,000.00.

a. The probability that all three rolls are 1 is 0.004630.

b. The probability that it comes up 3 at least once is 0.421296.

(a) To find the probability that all three rolls result in a 1, we need to calculate the probability of rolling a 1 on each individual roll and then multiply these probabilities together.

Since the die is fair, the probability of rolling a 1 on a single roll is 1/6.

Therefore, the probability that all three rolls are 1 is:

P(all three rolls are 1) = (1/6) * (1/6) * (1/6) = 1/216

Rounded to six decimal places, the probability is approximately 0.004630.

(b) To find the probability that the die comes up 3 at least once, we can calculate the probability of the complement event (i.e., the event that the die never comes up as 3) and subtract it from 1.

The probability of not rolling a 3 on a single roll is 5/6, since there are five other outcomes on a fair six-sided die.

Therefore, the probability of not rolling a 3 on any of the three rolls is:

P(no 3 in three rolls) = (5/6) * (5/6) * (5/6) = 125/216

The probability of the complement event (at least one 3) is:

P(at least one 3) = 1 - P(no 3 in three rolls) = 1 - (125/216) = 91/216

Rounded to six decimal places, the probability is approximately 0.421296.

Thus, the probability that the die comes up 3 at least once is approximately 0.421296.

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Answer:
X = 5
X = 1

Step-by-step explanation:

You have to do this:
x^2 - 6x +5 = 0
(x-1)(x-5) =0
X = 5
X = 1

Remember that the middle variable has to be added together, so -1 + (-5) = -6.

I hope this was able to help you out :D

Answer:

x = 5, x = 1

Step-by-step explanation:

We can first figure out what digits add to -6 and multiply to 5.

In this case, -5 and -1 will add to -6, and -5 times -1 will equal to 5.

Therefore, we can create this equation:

y = (x-5)(x-1)

Since the problem asks for the solutions, we need to set the equation equal to 0:

(x-5)(x-1) = 0

This will be set to two other equations:

(x-5) = 0

(x-1) = 0

We can solve these:

x = 5

x = 1

(Typically, we can use the diamond method and/or box method to solve these equations)

Answer:

Which expression is equivalent to ((4^((5)/(4)).4^((1)/(4)))/(4^((1)/(2))))^((1)/(2))?

Answer:

10 x 10 is a a sum because by multiply 10 10 times you get 100 as your sum/PS:10 x 10 also equals 10 sqart(2)

Answer:

Step-by-step explanation:

well then the anwser is 1.99 because the one time fee is only for downloading one movie the first, but 1.99 is the money you have to pay everytime you download a movie.

Answer:

D) absolute value

The absolute value is always positive and it is the distance from 0.

For example, -5 and 5 both have an absolute value of 5.

Step-by-step explanation:

Answer:

\(y = 85\)

\(x = 95\)

It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

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Answer:

Notice that the written functions are mostly incorrectly written, after a short online search i've found the correct ones, which are the ones i will write in this answer.

A general exponential equation can be written as:

f(x) = A*(r)^x

Where A is the initial value, r is the rate of growth, and x is our variable.

If r > 1,  the function represents a growth.

if 0 < r < 1, the function represents a decay.

1) f(x) = 3^x

Here we have r = 3

This is clearly larger than 1, then this function represents a growth.

2) f(x) = (0.25)^x

Here we have r = 0.25, which is smaller than 1 and larger than zero, then this function represents a decay.

3) f(x) = (2/3)^x

here we have r = 2/3 = 0.66

This is larger than zero and smaller than 1, then this function represents a decay.

4) f(x) = (3/2)^x

Here we have r = 3/2 = 1.5

This is larger than 1, then this function represents a growth,

The given citation is a reference to a research paper titled "Progressive Strategies for Monte-Carlo Tree Search" by Chaslot, G., Winands, M., Herik, H., Uiterwijk, J., and Bouzy, B.

The paper was published in the journal "New Mathematics and Natural Computation" in November 2008.

Here are the details of the citation:

Authors: G. Chaslot, M. Winands, H. Herik, J. Uiterwijk, and B. Bouzy

Title: Progressive Strategies for Monte-Carlo Tree Search

Journal:

Year: 2008

Volume: 04

Pages: 343–357

DOI: 10.1142/s1793005708001094

The DOI (Digital Object Identifier) provided is a unique identifier for the paper and can be used to access the paper online, usually through a database or publisher's website.

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Answer:

ST = 44.5 feet

Step-by-step explanation:

sing SOH CAH TOA to solve the problem;

Given

m<T  = 90

m<R = 39 degrees

TR = 55feet

Required

ST = opposite to m<R

TR is the adjacent

tan theta = opp/adj

tan m<R = ST/TR

tan 39 = ST/55

ST = 55tan39

ST  = 55*0.8098

ST = 44.5 feet

The distance of the student from the foot of the tower is 25.63m the nearest 1/2 is 25.5m.

Given that From the top of a tower 14m high

The angle of depression of a student is 32°

we can use trigonometry to find the distance from the foot of the tower to the student:

tan(32°) = opposite/adjacent = 14/distance

Rearranging this equation gives:

distance = 14/tan(32°)

= 25.63m

Therefore, the distance of the student from the foot of the tower is approximately 25.63m nearest 1/2, this is 25.5m.

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Answer:

The answer is 1/2 gallon.

Step-by-step explanation:

1 gallon is equal to 8 pints, so 4 pints is equal to 4/8 = 1/2 gallon. The answer is 1/2 gallon.

Answer:

n = 8

Step-by-step explanation:

The angles are vertical angles and so they are equal

9n = 8n+8

Subtract 8n from each side

9n - 8n = 8n+8-8n

n = 8

Apply:

Where (h,k) is the center of the circle, and r= radius.

Since the center is on (0,0) , h=0 and k=0

Since it passes through the point (0,-2) = (x,y)

Solve for r^2

The final equation is:

\(2 - \sqrt{1} \\ = 2 - 1 \\ = 1\)

Answer:

\(4.5\pi\)

Step-by-step explanation:

The area of the entire circle is

\(\pi(3^2)=9\pi\)

This means the area of half the circle is

\(4.5\pi\)

The actual implications of giving a bone to a subject would depend on the specific context, such as the subject's identity (human or animal), the purpose of giving the bone, and the cultural or medical considerations involved.

Assuming that a randomly selected subject is given a bone, it seems that we need to consider the context and determine the implications or consequences of this action. Without further information, it is difficult to provide a specific explanation or analysis. However, we can discuss some general possibilities and considerations related to giving a bone to a subject.

1. Medical Treatment: Giving a bone could be related to medical treatment or procedures. For example, in orthopedic medicine, bones may be used for grafting or reconstructive surgeries to repair damaged or fractured bones.

2. Nutritional Benefits: Bones, such as beef or chicken bones, can be used to make broths or stocks that are rich in nutrients like collagen, calcium, and other minerals. These bone-based products are often consumed for their potential health benefits.

3. Animal Care: Giving a bone to an animal, particularly dogs, is a common practice. Bones can serve as a form of entertainment or enrichment for pets, satisfying their chewing instincts and providing dental benefits.

4. Symbolic Meaning: In certain cultures or traditions, bones can hold symbolic meanings. They may be used in rituals, ceremonies, or artistic expressions to represent various concepts, such as strength, mortality, or spirituality.It's important to note that the above interpretations are speculative and based on general assumptions. The actual implications of giving a bone to a subject would depend on the specific context, such as the subject's identity (human or animal), the purpose of giving the bone, and the cultural or medical considerations involved.

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In a within-groups factorial design, each participant is exposed to all levels of the independent variables, which requires a larger number of participants compared to other designs. A mixed factorial design can have multiple independent variables, and it is not limited to only two.

The true statements about factorial design variations are as follows:

1. A within-groups factorial design typically requires the most participants.
2. A mixed factorial design can have more than two independent variables.
3. A between-groups design with three independent variables results in three main effects.

Lastly, in a between-groups design with three independent variables, there will be three main effects to consider.

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A country will roughly double its gdp in twelve years if its annual growth rate is 5.8  using the rule of 70.

The rule of 70 is used to determine the time it takes a country to double it growth rate.

To double in 12 years =70/12 = 5.8

Therefore, A country will roughly double its gdp in twenty years if its annual growth rate is 5.8  using the rule of 70.

A measure of the rise in the value of an investment or revenue stream over the course of a year is the annual growth rate, often known as the "simple growth rate" or "average annual growth rate (AAGR)".

The formula for calculating annual growth rate divides the total value of annual growth at the beginning of the year by the total value of that growth at the end of the year.

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To determine the standard error of the estimated slope coefficient and its statistical significance, more information is needed, such as the t-statistic or the p-value associated with the estimated slope coefficient. The options provided do not include the necessary details to make a conclusion.

The standard error of the estimated slope coefficient measures the precision or variability of the estimated coefficient. It provides information about how much the estimated slope coefficient could vary across different samples.

The t-statistic and the p-value, on the other hand, are used to assess the statistical significance of the estimated slope coefficient. The t-statistic measures the number of standard errors the estimated coefficient is away from zero, while the p-value indicates the probability of observing a coefficient as extreme as the estimated one under the null hypothesis that the true coefficient is zero.

Without the t-statistic or p-value, it is not possible to determine the statistical significance of the estimated slope coefficient at the 5% level.

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