$ The polynomial 3x3 + 10x2 - x - 12 has a factor of x + 3. Find the remaining factors,

The mean and standard deviation obtained from simulations may differ from the true mean

standard deviation of a negative binomial distribution with parameters $r=0.6$ and $p=10$. However, with a large number of simulations, the mean and standard deviation from the simulations should approach the true mean and standard deviation of the distribution.

In general, the mean of a negative binomial distribution with parameters $r$ and $p$ is $r \cdot (1-p)/p$, and the standard deviation is $\sqrt{r \cdot (1-p)/p^2}$.

These formulas can be used to calculate the true mean and standard deviation of a $nb(0.6,\ 10)$ distribution.

Comparing the simulated mean and standard deviation to the true values can help assess the accuracy of the simulation results.

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Answer:

23

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Answer: 4 miles in 1/3 hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

the perimeter P=2(L+W)=54

P=2L+2W=54 OR L+W=27

we know that L=3W+3

P=3W+W=27-3

4W=24

W=6 CM

L=21CM

Answer:

Kindly check explanation

Step-by-step explanation:

Given the Equation :

(5/8)m = 25

The first step to take with this kind of equation is to multiply both sides by the denominator, 8

5m/8 * 8 = 25 *8

5m = 200

Then, we can divide both sides by 5 in other to isolate m

5m / 5 = 200 / 5

m = 40

Answer: m+40

Step-by-step explanation:

Given the Equation :

(5/8)m = 25

The first step to take with this kind of equation is to multiply both sides by the denominator, 8

5m/8 * 8 = 25 *8

5m = 200

Then, we can divide both sides by 5 in other to isolate m

5m / 5 = 200 / 5

m = 40

The probability that the first ball is yellow if the second ball is black is 1/14. The correct option is D.

The given question is a classic example of dependent events in probability. As the balls are drawn without replacement, the second event's outcome will depend on the outcome of the first event.

Probability = Number of favorable events/ Total number of events

The probability of the first ball being yellow is \((5/15)\), while the probability of the second ball being black is \((3/14)\).

Mathematically represented as P(Yellow ball on the first draw) = P(Yellow ball) = \(5/15\)

P(Blackball on second draw given Yellow ball on the first draw) = P(Blackball | Yellow ball) = \(3/14\)

As both the events are dependent, we need to find the joint probability of both the events, which can be calculated as P(Yellow ball on the first draw and Blackball on the second draw) = P(Yellow ball) × P(Blackball | Yellow ball)

P (Yellow ball on the first draw and blackball on second draw) = \((5/15) × (3/14) = 3/42 = 1/14.\)

Therefore, the correct option is D.

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Answer:

Step-by-step explanation:

Answer:

(0,1) (2,2) (4,3) (6,4) (8,5) (10,6)

Step-by-step explanation:

rise over run, graph it out

The inverse function of f(x) = ∛(x-1) + 4 is f⁻¹(x) = (x - 4)³ + 1

Given the function in the question:

f(x) = ∛(x-1) + 4

To find the inverse of f(x), we need to switch the roles of x and y in the equation and then solve for y.

f(x) = ∛(x-1) + 4

Let y = f(x) = ∛(x-1) + 4.

y = ∛(x-1) + 4

Now, we can rewrite this equation in terms of x as follows:

x = ∛(y-1) + 4

Subtracting 4 from both sides, we get:

x - 4 = ∛(y-1)

Cubing both sides, we get:

(x - 4)³ = y - 1

Adding 1 to both sides, we get:

y = (x - 4)³ + 1

Replace y with f⁻¹(x)

f⁻¹(x) = (x - 4)³ + 1

Therefore, the inverse function is  f⁻¹(x) = (x - 4)³ + 1.

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Answer:

65

Step-by-step explanation:

17 red

19 yellow

29 blue

add them together, = 65

Answer:

Step-by-step explanation:

Use PEMDAS to determine order of operations.

P = Parentheses

E = Exponents

M/D = Multiplication/Division

A/S = Addition/Subtraction

The operation in the parentheses must be performed first, which is the addition of 6.1 + 12.

The next operation to perform is multiplication, which is 415 times (6.1 + 12).

The last operation to perform is the subtraction of 415 times (6.1 + 12) from 8.3.

6.1 + 12 = 18.1

8.3 - 415(18.1)

8.3 - 7511.5 = -7503.2

Answer: 6

Step-by-step explanation: The y-intercept is 6 and the slope is -2.

First, we subtract 10x.

5y = -10x+30

Then we divide by 5.

y = -2x + 6

Now we have everything we need!

So the y-intercept is 6.

Hope this helps! :)

The y-intercept is "6".

Given:

\(10x+5y=30\)

y-intercept

\(10x+5y=30\) y-intercepts

When y-intercepts the value it indicates that x=0 then

\(\to 10x+5y=30\\\\\to 10(0)+5y=30\\\\\to 5y=30\\\\\to y=\frac{30}{5}\\\\\to y=6\)

When the y-intercept is value will be "6".

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Answer:

D

Step-by-step explanation:

i did this today but in maths

Answer:

the answer is 21,600 kg

Step-by-step explanation:

Option 2, (x, y) --> (x + 3, y - 2) is the algebraic expression that shows how the translation affects the coordinates of the preimage.

Here, we are given that a figure is translated 3 units to the right and two units down.

Now, if the original coordinates of the figure are (x, y), as given in all the options, let us look at the effect of the transformation.

3 units right the x coordinate will increase by 3 units

thus x becomes (x + 3)

2 units down = the y coordinate will decrease by 2 units

thus y becomes (y - 2)

Hence, the new coordinates of the figure become {(x + 3), (y - 2)} Therefore, option 2, (x, y) --> (x + 3, y - 2) is the correct answer.

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Your question was incomplete. Check for the full content below

A figure is translated 3 units to the right and down 2 units. Select the algebraic expression that shows how the translation affects the coordinates of the pre image.

1. (x, y) --> (x-3, y + 2)

2. (x, y) --> (x + 3, y - 2)

3. (x, y) --> (x + 3, y - 2)

4.(x, y) --> (9x, 3y)

Answer: 48/5

Step-by-step explanation: I think it's 48/5 because well I don't really know so yeah might be wrong imma change soon tho.

The number of pages that he read out of 240 will be 60 pages.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Deshon read 25% of his favorite book throughout the end of the week the book has 240 pages.

Then the number of pages that he read will be given as,

⇒ 25% of 240

⇒ 0.25 x 240

⇒ 60 pages

The number of pages that he read out of 240 will be 60 pages.

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Solve and graph each solution set:

f (t) < 10 or f (t) > 14, where f ( t) = 4t + 2 ​

When f(t) <10 , ie f(t) = 9,8,7,6.....0

When f(t) > 14 , ie f(t) = 15,16,17,18......

Answer:

he made the error in step 3

Step-by-step explanation:

Charlie did indeed do the first steps correctly. He took like terms to one side. However, when he added 2p and 6 to get 8p (?) he mistook them for like terms. This is incorrect. 2p cannot be added with 6 because they are different terms: one with a variable, and one without anything. He should've continued the process of isolating p, the variable, by subtracting 6 from both sides, having:

-11 - 6 = 2p +6 - 6

simplify:

-17 = 2p

Isolate:

p = -17/2

Step-by-step explanation:

As you know

\( a_{n} = a_{1} \times {r}^{n - 1} \)

1.

\(3 \times {3}^{4} = {3}^{5} \\ 3 \times {3}^{6} = {3}^{7} \\ 3 \times {3}^{8} = {3}^{9}\)

2.

\(2 \times {2}^{4} = {2}^{5} \\ 2 \times {2}^{6} = {2}^{7} \\ 2 \times {2}^{8} = {2}^{9}\)

3.

\( - \frac{1}{2} \times {( - 6)}^{4} = { \frac{ - 1}{2} } \times {6}^{4} \\ - \frac{1}{2} \times {( - 6)}^{6} = { \frac{ - 1}{2} } \times {6}^{6} \\ - \frac{ 1}{2} \times {( - 6)}^{8} = { \frac{ - 1}{2} } \times {6}^{8} \)

Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test.

Answer:

"?" = 3

Step-by-step explanation:

The answer can be gotten by subtracting 4 from 7. The 4 is the exponent in (4a^4b), and the 7 is the exponent in 16a^7b. So:

7 - 4 = 3

Therefore, the "?" = 3

Hope this helps :)

Answer:

?=3

Step-by-step explanation:

Okay so with exponents, when multiplying exponents with the same base, you add them.

In your case, we have a^? * a^4=a^7 (this is the only part you need to solve)

so ?+4=7

?=7-4=3

Have a nice day!

The standard deviation of a beta distribution is calculated using the formula \(\(\sigma = \sqrt{\frac{\alpha \cdot \beta}{(\alpha + \beta)^2 \cdot (\alpha + \beta + 1)}}\),\) where \(\(\alpha\)\) and \(\(\beta\)\) are the parameters defining the shape of the distribution. It does not involve multiplying the sigma value by any fixed factor.

When calculating the standard deviation of a beta distribution, the denominator of the formula is not directly related to the sigma (standard deviation) parameter.

The standard deviation of a beta distribution depends on the alpha and beta parameters, which define the shape of the distribution.

The formula for the standard deviation of a beta distribution is:

\(\[ \sigma = \sqrt{\frac{\alpha \cdot \beta}{(\alpha + \beta)^2 \cdot (\alpha + \beta + 1)}} \]\)

Here, the standard deviation \((\(\sigma\))\) is calculated using the alpha and beta parameters of the beta distribution. It does not involve multiplying the sigma value by any particular factor or using a fixed denominator.

The denominator in the formula for the standard deviation of a beta distribution involves the alpha and beta parameters, which determine the shape and spread of the distribution.

It does not directly relate to the sigma value or involve multiplying sigma by a fixed factor.

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Answer:

True

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

The statement "It is more likely to represent the population effect" is not true of the adjusted R2.

What is statement?

In the context of logic and mathematics, a statement refers to a declarative sentence or proposition that is either true or false. It is a meaningful assertion that can be evaluated for its truth value.

The adjusted R2 is a statistical measure that adjusts the R2 (coefficient of determination) to account for the number of predictor variables in a regression model. It quantifies the proportion of the variance in the dependent variable that is explained by the independent variables in the model. The adjusted R2 takes into consideration the degrees of freedom and penalizes the inclusion of unnecessary predictor variables.

However, the adjusted R2 does not necessarily represent the population effect. It is a sample-based statistic that provides an estimate of the amount of variance explained in the sample data. The adjusted R2 may or may not accurately reflect the true population effect. Its value can be influenced by factors such as the sample size, model specification, and assumptions of the regression model.

Therefore, the statement "It is more likely to represent the population effect" is not true for the adjusted R2.

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Answer:

85500000

Step-by-step explanation:

The volume of the pyramid is 3.5 cubic centimeters.

The volume of a pyramid can be calculated using the formula:

V = (1/3) * Base area * Height

Where Base area is the area of the base of the pyramid, and Height is the distance from the base to the apex of the pyramid.

Given that the area of the base of the pyramid is 4.6 cm^2 and the height of the pyramid is 2.3 cm, we can substitute these values into the formula and solve for the volume:

V = (1/3) * 4.6 cm^2 * 2.3 cm = 3.53 cm^3

So the volume of the pyramid is 3.53 cubic centimeters. Rounded to the nearest tenth of a cubic centimeter, the volume is 3.5 cm^3.

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Answer:

m = 1/2

Step-by-step explanation:

Look at the points on the graph and determine what the slope would be using the slope formula. y2-y1 / x2-x1.

2 - 0 / 0 - (-4)

2/4

1/2

Answer:

the slope of the line is 2

Step-by-step explanation:

use the formula for the slope of a line: y2-y1/x2-x1

this will give you 2-0/0-(-4) = 2/4

simplified to 2 for the slope.

if the answer you need is just the slope ten it would be 2

if you're looking for the equation of the line it would be y=2x+2

The conclusion can be made using the data in option A the negative linear correlation means that as the preparation time increases, the final score decreases in a linear pattern.

The conclusion that can be made from the data in the scatter diagram is that the more time that was used to prepare, the lower the score (answer A). The negative linear correlation means that as the preparation time increases, the final score decreases in a linear pattern. This suggests that there may be a relationship between the amount of preparation time and the final score, but further investigation and statistical analysis is needed to confirm this relationship.

Linear correlation refers to the relationship between two variables that can be represented by a straight line on a scatter plot. The relationship between the two variables can be positive, negative, or neutral. Positive linear correlation means that as one variable increases, the other variable also increases in a linear pattern. Negative linear correlation means that as one variable increases, the other variable decreases in a linear pattern. A neutral linear correlation means that there is no relationship between the two variables.

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The conclusion can be made using the data in option A the negative linear correlation means that as the preparation time increases, the final score decreases in a linear pattern.

The conclusion that can be made from the data in the scatter diagram is that the more time that was used to prepare, the lower the score (answer A). The negative linear correlation means that as the preparation time increases, the final score decreases in a linear pattern. This suggests that there may be a relationship between the amount of preparation time and the final score, but further investigation and statistical analysis is needed to confirm this relationship.

Linear correlation refers to the relationship between two variables that can be represented by a straight line on a scatter plot. The relationship between the two variables can be positive, negative, or neutral. Positive linear correlation means that as one variable increases, the other variable also increases in a linear pattern. Negative linear correlation means that as one variable increases, the other variable decreases in a linear pattern. A neutral linear correlation means that there is no relationship between the two variables.

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