PLEASE HELP
1-Perform another 20 spins, and record them. What is the new experimental probability of spinning yellow?
2-What is the experimental probability of spinning red or yellow?

The P-value in this case is approximately 0.1131.

In the given problem, we are given a test statistic t = 1.212, a sample size n = 6, and an alternative hypothesis H1: μ > μ0.

To calculate the P-value, we need to find the area to the right of the test statistic t in the t-distribution with n - 1 degree of freedom (df), assuming the null hypothesis is true.

Using a t-table or calculator, we can find that the area to the right of t = 1.212 with 5 degrees of freedom is approximately 0.1131. This means that if the null hypothesis were true (i.e., if the population mean were equal to the hypothesized value μ0), we would expect to observe a test statistic as extreme as t = 1.212 or more extreme in about 11.31% of random samples of size 6.

Since the P-value is the probability of observing a test statistic as extreme or more extreme than the one calculated from the sample data, assuming that the null hypothesis is true, we can conclude that the P-value in this case is approximately 0.1131.

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Answer:

Step-by-step explanation:

f(x) is your parent function or what your graph started out as.

g(x) is your transformation or how it ended up.

the graph g(x) went up 2 units

If you create a chart, you can choose any x-values unless they are given to you. Let's use: -2,-1,0,1,2

Plug in the x value from g(x) = |x|+2 ,and solve. For example, g(x) = |-2| +2 is 4 so 4 is your "y"-value (in this case your g(x)), if your x- value is -2.

so, you should get when you plug the other values.

(-2, 4)

(-1, 3)

(0, 2)

(1, 3)

(2, 4)

and that is what you graph.

For 18, you can create a chart the same way to find your points. However, it's important to know that since your function is inside of absolute value bars it is shifting left or right instead of up or down like with question 17, and it is opposite of what you think based on the sign.

Thus, g(x) = | x-1 | is shifting right 1 unit. Negative sign means it shifts right, Positive sign means it is shifting left.

Answer:

Yes, the number of knots is proportional to the number of rows.

Step-by-step explanation:

The number of knots is proportional to the number of rows, because whenever there is a new row then it implies that there is new knot.

Meaning, as the number of rows increases, the number or knots increases. This is a proportional relationship.

The smallest final thickness that can be obtained for the Cu- 30% Zn brass plate is approximately 2.0944 inches.

To calculate the smallest final thickness that can be obtained for a Cu- 30% Zn brass plate with an elongation greater than 36%, we need to consider the relationship between elongation and thickness.

Elongation is a measure of the material's ability to stretch or deform without breaking. It is typically expressed as a percentage increase in length compared to the original length. In this case, the elongation needs to be greater than 36%.

To calculate the smallest final thickness, we can use the formula:

Final thickness = Original thickness * (1 + Elongation/100)

Let's plug in the given values:

Original thickness = 1.54 inch
Elongation = 36%

Final thickness = 1.54 inch * (1 + 36%/100)
Final thickness = 1.54 inch * (1 + 0.36)
Final thickness = 1.54 inch * 1.36
Final thickness = 2.0944 inch (rounded to four decimal places)

Therefore, the smallest final thickness that can be obtained for the Cu-30% Zn brass plate is approximately 2.0944 inches.

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Answer:

1. wavelength

2.trough

3.node

4.peak

Step-by-step explanation:

(a) The unbiased estimate of the total number of errors in the manuscript is approximately 75.83.

(b) Sample average of the errors estimator is used on it.

(c) Yes, this is unbiased for the actual variance of the estimator of the total number of errors

(a) Unbiased estimate of the total number of errors:

To estimate the total number of errors in the manuscript, we need to consider the design used, which involves selecting a systematic sample of pages. The design selects the page with the random number 6 and then includes every 10th page thereafter. We are given the number of errors on the sample pages: 1, 0, 2, 3, 0, and 1.

The average number of errors per page in the sample is calculated as the sum of the errors on the sample pages divided by the number of sample pages:

(1 + 0 + 2 + 3 + 0 + 1) / 6 = 7 / 6 ≈ 1.17.

Now, we can estimate the total number of errors in the manuscript by multiplying the average number of errors per page by the total number of pages:

1.17 * 65 = 75.83.

(b) Estimator used and its unbiasedness:

The estimator used in this case is the sample average of the errors per page, which is calculated by summing the errors on the sample pages and dividing by the number of sample pages. In this case, the person estimated the total number of errors in the manuscript as 75.83 using the formula: 65(1 + 0 + 2 + 3 + 0 + 1) / 6.

(c) Variance of the estimator and its unbiasedness:

The variance of an estimator measures the variability or spread of the estimator's values around its expected value. To estimate the variance of the estimator, the formula used is 65(65 - 6)(1.37) / 6, where 1.37 is the sample variance of the six error counts.

To have an unbiased estimate of the variance, we would need to divide the numerator by (n - 1), where n is the number of sample units. In this case, n is 6 since we have six sample pages.

Therefore, the estimated variance of the estimator provided, 65(65 - 6)(1.37) / 6, is biased for the actual variance of the estimator of the total number of errors.

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Answer:

O=on

X=off

OXXOXOX  after 2011 flips.

Step-by-step explanation:

There are many ways to get the answer.

A. Actually flip them 2011 times.

One way is to put 7 cards on the table, and name them A to G, with A,E,C,G facing up, and the other facing down.

Now flip the cards in order A to G 2011 times and find the answer.  

Since you have four days to find the answer, you only have to flip about 500 times a day.

B. Simplify procedure A above.

Do the same as above, actually flip the cards, but only 14 times.

You will find that the cards are restored to the original position after 14 flips.  

If we divide 2011 by 14, we get a quotient of 143 with a remainder of 9.

We know we don't have to make 143 sets of 14 flips.  We only need to make 9!

Then again, we know that after 7 flips, the lights will be all opposite.

If O=on, and X=off then the situations are

OXOXOXO  initial

XOXOXOX  after 7 flips

OXXOXOX  after 9 flips, which is also after 2011 flips, and that is the final answer.

a) The Laplace transforms of the given system of differential equations are

sX(s) = 12X(s) + 3Y(s)

sY(s) = -9X(s) + (1/(s-3))

b) The partial fraction decomposition and inverse Laplace transform of X(s) is

X(s) = (3/(s^2 + 3s - 36))

x(t) = (1/5)e^6t - (3/5)e^(-9t)

The partial fraction decomposition and inverse Laplace transform of Y(s) is

Y(s) = (2s/(s^2 + 3s - 36))(3/(s-3)) + (1/(s-3)) - (2/(s+6))

y(t) = (1/5)e^6t + (1/3)e^(-9t) - (2/3)e^(-6t)

a) Taking the Laplace transform of both differential equations yields

sX(s) - x(0) = 12X(s) + 3Y(s)

sY(s) - y(0) = -9X(s) + (1/(s-3))

Substituting x(0) = 0 and y(0) = 0, we get

sX(s) = 12X(s) + 3Y(s)

sY(s) = -9X(s) + (1/(s-3))

Solving for Y(s) in the first equation and substituting into the second equation, we get

sY(s) = -9X(s) + (1/(s-3))

s(12X(s)/s) + 3Y(s) = 12X(s) + (12/s)Y(s)

sY(s) = (12s/(s^2 + 3s - 36))X(s) + (1/(s-3))

Solving for Y(s), we get

Y(s) = ((12s/(s^2 + 3s - 36))X(s) + (1/(s-3)))/s

b) To find the partial fraction decomposition of X(s) and Y(s), we first factor the denominator of (12s/(s^2 + 3s - 36))

s^2 + 3s - 36 = (s + 6)(s - 3)

Therefore,

(12s/(s^2 + 3s - 36)) = (A/(s+6)) + (B/(s-3))

Multiplying both sides by (s+6)(s-3), we get

12s = A(s-3) + B(s+6)

Setting s = 3 and s = -6, we get

A = 2

B = -1

Therefore,

(12s/(s^2 + 3s - 36)) = (2/(s+6)) - (1/(s-3))

Using partial fraction decomposition for Y(s), we get

Y(s) = (2s/(s^2 + 3s - 36))X(s) + (1/(s-3)) - (2/(s+6))

To find the inverse Laplace transforms of X(s) and Y(s), we use a table of Laplace transforms and algebraic manipulation to obtain

X(s) = (3/(s^2 + 3s - 36))

Y(s) = (2s/(s^2 + 3s - 36))(3/(s-3)) + (1/(s-3)) - (2/(s+6))

Using partial fraction decomposition and inverse Laplace transforms, we get

x(t) = (1/5)e^6t - (3/5)e^(-9t)

y(t) = (1/5)e^6t + (1/3)e^(-9t) - (2/3)e^(-6t)

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This is ezz homework pay attention in class

I think this is correct

Answer:

You only have to sort (numbers with numbers and variables with variables) then do the operations (+/-).

Step-by-step explanation:

\(5 + 9f - 10 + 5 \\ - 5 + 9f + 5 \\ 0 + 9f \\ 9f\)

The size of the sample is 24 and the size of the population is 135.

Sample size is a group of subjects that are selected from the large population and is considered as representative of the real population for that specific research.

In population genetics and population ecology, population size (usually denoted N) is the number of individual organisms in a population

In this particular case, a political scientist surveys 24 of the current 135 representatives in a state's legislature.

The sample is the group of individuals selected from the population,

in this case, the 24 representatives surveyed by the political scientist.

The population is the entire group of individuals that the sample is drawn from, in this case,

the 135 representatives in the state's legislature.

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Answer: A

Step-by-step explanation:

When you write exponential form to radical form, the fraction tells us that kind of root it is. Since it is a cubed root, as indicated by the 3 in front of the radical, we know that the fraction will be \(\frac{1}{3}\). If it were to be \(\frac{1}{3}\), the entire radical would be to the power of 1. Since the radical is to the power of x, our answer would be \(125^{\frac{1}{3}x }\).

Answer:

26r^2 + 36r.

Step-by-step explanation:

Answer:

She sold $1800 worth.

Step-by-step explanation:

290-200=90

90 x 20 because 100÷5=20

90 x 20 = 1800

$1800

Answer:

X= 14

Step-by-step explanation:

Answer:

SA = 148 cm^2

Step-by-step explanation:

The surface area of a cube is given

SA = 2 ( lw+ wh+lh)  where l is the length, w is the width and h is the height

SA = 2 ( 5*4+ 4*6+ 5*6)

SA = 2 ( 20+ 24+ 30)

SA = 2( 74)

SA = 148 cm^2

(B) Consistent and Dependent best describes the system of equations graphed on the coordinate plane.

Two number lines combine to generate the two-dimensional surface known as the coordinate plane.

The x-axis is a single horizontal number line.

The y-axis is the name of the vertical number line which is the other number line.

The origin is where the two axes come together. The coordinate plane can be used to graph points, lines, and other things.

The coordinate plane is created by the perpendicular intersection of these two axes.

The ordinate and abscissa are other names for the x-axis and y-axis, respectively.

These two axes can be used to locate or represent any point on the coordinate plane as an ordered pair of the form (x,y).

So, as there is at least ONE solution in the system.

Two lines cross each other, making them interdependent.

As a result, the system is dependent and consistent.

Therefore, (B) Consistent and Dependent best describes the system of equations graphed on the coordinate plane.

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Answer:

what  question?

Step-by-step explanation:

Answer:

The answer is as follows

Step-by-step explanation:

We can use the definitions of the hyperbolic functions to find the values of the other functions.

tanh(x) = (e^x - e^-x)/(e^x + e^-x)

Let y = tanh(x), then:

y = (e^x - e^-x)/(e^x + e^-x)

y(e^x + e^-x) = e^x - e^-x

ye^x + ye^-x = e^x - e^-x

ye^x - e^x = - ye^-x - e^-x

e^x(y-1) = -e^-x(y+1)

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

e^x = sqrt(-(y+1)/(y-1))

Now we can use the definitions of the other hyperbolic functions:

cosh(x) = (e^x + e^-x)/2 = (sqrt(-(y+1)/(y-1)) + 1/sqrt(-(y+1)/(y-1)))/2

sinh(x) = (e^x - e^-x)/2 = (sqrt(-(y+1)/(y-1)) - 1/sqrt(-(y+1)/(y-1)))/2

sech(x) = 1/cosh(x) = 2/(sqrt(-(y+1)/(y-1)) + 1/sqrt(-(y+1)/(y-1)))

csch(x) = 1/sinh(x) = 2/(sqrt(-(y+1)/(y-1)) - 1/sqrt(-(y+1)/(y-1)))

Using the given value of tanh(x), we get:

y = 24/25

sqrt(-(y+1)/(y-1)) = sqrt(-49) = i*7

cosh(x) = (i*7 + 1/i*7)/2 = (i^2*49 + 1)/14 = -48/14 = -24/7

sinh(x) = (i*7 - 1/i*7)/2 = (i^2*49 - 1)/14 = 24/7

sech(x) = 2/(i*7 + 1/i*7) = 2/((i*7)^2 + 1) = -14/25

csch(x) = 2/(i*7 - 1/i*7) = 2/((i*7)^2 - 1) = -25/24

Therefore, the values of the other hyperbolic functions are:

cosh(x) = -24/7

sinh(x) = 24/7

sech(x) = -14/25

csch(x) = -25/24

The values of the other hyperbolic functions at x when tanh(x) = 24/25 are :

cosh(x) = 1.096

sinh(x) = 0.192

coth(x) = 1.042

sech(x) = 0.912

csch(x) = 5.208

Given: tanh(x) = 24/25

Using the identities

1. cosh(x) = \((1 + tanh^2(x))^{0.5\)

2. sinh(x) = \(tanh(x) * (1 - tanh^2(x))^{0.5\)

3. coth(x) = 1 / tanh(x)

4. sech(x) = 1 / cosh(x)

5. csch(x) = 1 / sinh(x)

Now, substitute tanh(x) = 24/25 into each of the formulas:

1. cosh(x) = \((1 + (24/25)^2)^{0.5\)

                = \((1 + 576/625)^{0.5\)

                = \((1201/625)^{0.5\)

                = 1.096

2. sinh(x) = (24/25) * \((1 - (24/25)^2)^{0.5\)

               = (24/25) * \((1 - 576/625)^{0.5\)

               = (24/25) * \((49/625)^{0.5\)

               = (24/25) * (7/25)

               = 24/125

               = 0.192

3. coth(x) = 1 / (24/25)

               = 25/24

                = 1.042

4. sech(x) = 1 / \((1 + (24/25)^2)^{0.5\)

               = 1 / \((1 + 576/625)^{0.5\)

                = 1 / \((1201/625)^{0.5\)

               = 1 / 1.096

               = 0.912

5. csch(x) = 1 / (24/125)

                = 125/24

                 = 5.208

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Answer:

4³, 8², and 2⁶ are all equivalent to 64¹

Answer:

A, C, F

Step-by-step explanation:

A. 4 x 4 x 416 x 4= 64

C. 8 x 8 = 64

F. 2x2=4x2= 8x2=16x2=32 x 2= 64

Answer:

4x +2y

Step-by-step explanation:

4x-3(x-2y)+ .5(6x-8y)

Distribute

4x -3x+6y +3x -4y

Combine like terms

4x-3x+3x  +6y-4y

4x +2y

Answer:

c = 0.58p

Step-by-step explanation:

since c is the cost, it will be isolated on one side of the equation

0.58 is the unit cost for one pound of bananas, so p will represent the amount of pound of bananas being purchased

Answer:

c(p)=0.58p

Step-by-step explanation:

The total cost will be your y value, and the cost per pound will be your x variable. You can create a function of these two in form f(x), or in your case c(p). you can then input any number for p to get the cost.

From the stem and leaf plot, let's write the data set:

10.9 cm

11.0 cm

11.2 cm

11.2 cm

12.1 cm

12.3 cm

We need to find the range of the data set, which is, the difference between the length of the longest pencil and the shortest pencil.

From the data set, we can see:

• Length of Longest Pencil = 12.3 cm

• Length of Shortest Pencil = 10.9 cm

The difference is

12.3 - 10.9 = 1.40 cm

The expression is simplified to -3. 59n - 12. 3

An algebraic expression can be described as an expression made up of terms, factors, constants, variables and coefficients,

These expressions are also thought to be made up of arithmetic or mathematical operations, which includes;

From the information given, we have the expression;

(8.21n − 5.3) − (7 + 11.8n)

First, we have to expand the bracket, we get;

8.21n - 5. 3 - 7 - 11.8n

Now, collect like terms, we have;

8.21n - 11.8n - 5. 3 - 7

-3. 59n - 12. 3

Hence, the expression is -3. 59n - 12. 3

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Complete question:

Simplify the expression (8.21n − 5.3) − (7 + 11.8n)

To evaluate the predictive performance of the tree model, we need to create the lift chart using the test data and analyze its shape.

A lift chart is a graphical representation of the performance of a predictive model. It can be used to evaluate the effectiveness of a model in identifying a target variable, compared to a random guess. The lift chart shows how much better the model is performing than a random guess, at different levels of the target variable.

To produce a lift chart for a decision tree model, we typically first rank the test data according to the predicted probabilities of the target variable. Then, we divide the data into equal-sized segments, called quantiles, based on the predicted probabilities. For example, if we divide the data into 10 quantiles, the first quantile will contain the 10% of cases with the lowest predicted probabilities, the second quantile will contain the next 10% of cases, and so on, up to the 10th quantile, which will contain the 10% of cases with the highest predicted probabilities.

For each quantile, we calculate the ratio of the number of cases in that quantile that have the target variable to the number of cases we would expect to see if the model was performing no better than random chance. This ratio is called the lift, and it represents how much better the model is performing than random chance, at that level of the target variable.

We can then plot the lift for each quantile on a graph, with the x-axis representing the quantiles and the y-axis representing the lift. A good model will have a lift chart that is above the diagonal line, which represents the performance of a random guess.

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Your viewing angle α is approximately 46.34 degrees when sitting in the classroom next to the wall and looking at the blackboard.

To show that your viewing angle α is determined by the length of the blackboard and its distance from the wall, we can use geometry and trigonometry.

Let's consider a right triangle formed by your line of sight, the distance from the wall to the blackboard, and the length of the blackboard.

The adjacent side of the triangle is the distance from the wall to the blackboard, which is 5 ft. The opposite side is half the length of the blackboard since you are looking at the midpoint of the blackboard. Therefore, the opposite side is (11 ft)/2 = 5.5 ft.

We can use the tangent function to calculate the viewing angle α:

tan(α) = opposite/adjacent

tan(α) = (5.5 ft)/(5 ft)

tan(α) = 1.1

To find α, take the arctan (inverse tangent) of both sides:

α = arctan(1.1)

Using a calculator, we find that α ≈ 46.34 degrees.

Therefore, your viewing angle α is approximately 46.34 degrees when sitting in the classroom next to the wall and looking at the blackboard.

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Answer:

\(x=\frac{5}{k}\)

Step-by-step explanation:

Given expression is,

\(\text{log}_{3^k}243=x\)

By using the law of logarithm,

\((3^k)^x=243\)

\(3^{kx}=243\)

\(3^{kx}=3^5\)

By comparing exponents on both the sides of the equation,

\(kx=5\)

\(x=\frac{5}{k}\)

Therefore, \(x=\frac{5}{k}\) will be the answer.

We would randomly select 37 individuals from the population and calculate their mean, which would provide an estimate of the population mean with a margin of error of 3 at a 90% level of confidence.

To calculate the sample size needed to estimate the population mean with a margin of error of 3 and a 90% level of confidence, we can use the formula:
n = [(zα/2 * σ) / E]^2

Where:
n = sample size
zα/2 = z-value for the desired level of confidence (90% in this case) and is found using a z-table or calculator, which gives a value of 1.645
σ = standard deviation of the population (11 in this case)
E = margin of error (3 in this case)

Substituting the values into the formula, we get:

n = [(1.645 * 11) / 3]^2
n = (18.095 / 3)^2
n = 6.031^2
n ≈ 36.373

Rounding up, we need a sample size of at least 37 to estimate the population mean with a margin of error of 3 and a 90% level of confidence, assuming the population standard deviation is 11.

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