the amount of time it takes jake to complete one homework problem from his statistics class is continuous and uniformly distributed between 3 minutes and 13 minutes. what is the probability that it takes jake greater than 11 minutes given that it takes greater than 9 minutes for him to complete one homework problem? provide the final answer as a fraction.

Answer:

1000 (its 100% correct)

Step-by-step explanation:

To calculate the number of jumbo gumballs that will fit in the gumball machine, we need to compare the volume of the gumball machine to the volume of each jumbo gumball.

The volume of a sphere can be calculated using the formula: V = (4/3) * π * radius^3.

Let's calculate the volume of the gumball machine:

V_machine = (4/3) * π * (6 inches)^3

V_machine = (4/3) * π * 216 cubic inches

V_machine ≈ 904.78 cubic inches

Next, we calculate the volume of each jumbo gumball:

V_gumball = (4/3) * π * (0.6 inches)^3

V_gumball = (4/3) * π * 0.216 cubic inches

V_gumball ≈ 0.9048 cubic inches

Finally, we divide the volume of the gumball machine by the volume of each jumbo gumball to find the number of gumballs that will fit:

Number of gumballs = V_machine / V_gumball

Number of gumballs ≈ 904.78 cubic inches / 0.9048 cubic inches

Number of gumballs ≈ 1000

Therefore, approximately 1000 jumbo gumballs will fit in the gumball machine.

Answer:

Step-by-step explanation: The points that have a distance of 3 units between them are:

N=(1,4) and P=(1,1)

P=(1,1) and R=(1,-2)

P=(1,1) and Q=(3,1)

Answer:

Find length, width and height of the shipping box.

Step-by-step explanation:

In order to find the volume of the shipping box, you should measure the lengths of all its dimensions, that is length, width and height.

The missing premise is "all dogs are non-cats." Therefore, the argument is true.

The given information and analyze the argument step-by-step.

1. Some non-poodles are not non-cats: This statement means that there are some animals that are not poodles and are also cats.

2. No cats are dogs: This statement means that there is no overlap between cats and dogs.

Now, let's try to determine if "some poodles are dogs" can be concluded from these premises:
Since no cats are dogs, it doesn't matter whether some non-poodles are not non-cats. Poodles are a breed of dog, so it's already a fact that poodles are dogs.

So, the answer is True: some poodles are dogs.

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We can see that the statement is not always true for any vectors u and v in V3.

The statement is not always true.

The cross product of vectors u and v in V3 is a vector that is orthogonal to both u and v. That is,

u x v ⊥ u and u x v ⊥ v

However, this does not necessarily mean that (u x v) * u = 0 for all u and v in V3.

For example, let u = <1, 0, 0> and v = <0, 1, 0>. Then,

u x v = <0, 0, 1>

(u x v) * u = <0, 0, 1> * <1, 0, 0> = 0

So in this case, the statement is true. However, consider the vectors u = <1, 1, 0> and v = <0, 1, 1>. Then,

u x v = <1, -1, 1>

(u x v) * u = <1, -1, 1> * <1, 1, 0> = 0

So in this case, the statement is also true. However, if we take the vector u = <1, 0, 0> and v = <0, 0, 1>, then

u x v = <0, 1, 0>

(u x v) * u = <0, 1, 0> * <1, 0, 0> = 0

So in this case, the statement is true as well.

However, if we take the vector u = <1, 1, 1> and v = <0, 1, 0>, then

u x v = <1, 0, 1>

(u x v) * u = <1, 0, 1> * <1, 1, 1> = 2

So in this case, the statement is not true.

Therefore, we can see that the statement is not always true for any vectors u and v in V3.

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A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.

Correlation is a statistical technique for measuring and describing the relationship between two variables.

The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.

Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.

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Answer: 360

Step-by-step explanation: You just need the answer, I don’t feel like explaining it i got my own question waiting for an answer.

Answer: 30 mins + 30 mins + 20 Mins

= 80 Minutes

The measure of arc AB is 236 degrees as the internal angle of arc AB is equal to the sum of the internal angles of arcs AC and EF.

To find the measure of arc AB, we need to use the given information and some basic geometry principles:

Therefore, the measure of arc AB is 236 degrees.

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The question is -

Find the measure of the arc AB.

To apply the function `g` to the Y-Combinator, we start with the definition of the Y-Combinator: Y = λf.(λx.f(xx))(λx.f(xx)).

To apply a function to the Y-Combinator, we substitute the function `g` for the parameter `f` in the Y-Combinator expression. Let's perform the reduction step by step: Y(g) = (λf.(λx.f(xx))(λx.f(xx)))(g)
                                              = (λx.g(xx))(λx.g(xx))
Now, we can observe that the Y-Combinator expression has the form (λx.g(xx))(λx.g(xx)), which is a self-application of the function `g`. This self-application allows for recursion, as it passes the function `g` applied to its own result as an argument to `g` itself.

By applying the function `g` to the Y-Combinator, we obtain the expression (λx.g(xx))(λx.g(xx)), which represents the recursive behavior achieved by the Y-Combinator. This recursive structure allows for the creation of functions that can refer to themselves within their own definitions.

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Answer:

5

Step-by-step explanation:

2+2+1=5

The error interval for d is from 391.6 to 391.9 and 392.1 to 392.4.

We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

Given, The depth 'd' of a lake is 392 m, rounded to the nearest integer.

Now a number rounded to the nearest integer to 392 is only possible when the number is less than 392.5 which is 392.4 and greater than 391.5.

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Answer:

Step-by-step explanation:

To find the surface area of a triangular prism, you need to calculate the areas of its individual faces and add them together. A triangular prism has five faces: two triangular bases and three rectangular lateral faces.

Here's how you can calculate the surface area step by step:

1.Calculate the area of one of the triangular bases:

Measure the length of the base of the triangle (b).

Measure the height of the triangle (h).

Use the formula for the area of a triangle: A = (1/2) * b * h.

Multiply the result by 2 since there are two triangular bases.

2.

Calculate the area of each of the three rectangular lateral faces:

Measure the length of one side of the triangle (a).

Measure the height of the triangle (h).

Multiply the length (a) by the height (h) to find the area of each rectangular face.

Sum up the areas of all three rectangular faces.

3.Add the areas of the two triangular bases and the three rectangular lateral faces to get the total surface area of the triangular prism.

The formula for the surface area (SA) of a triangular prism is:

SA = 2 * A_base + 3 * A_lateral

Where:

A_base is the area of one triangular base.

A_lateral is the combined area of the three rectangular lateral faces.

By following these steps and using the appropriate measurements, you can determine the surface area of a triangular prism.

The standard error of the sampling distribution of sample proportions for samples size

1) n = 35 ⇒ SE = 0.07

2) n = 100 ⇒ SE = 0.04

3) n = 250 ⇒ SE = 0.03

We know that the formula for thr standard error(SE) of the sample Proportion is:

SE = \(\sqrt{\frac{p(1-p)}{n} }\)

as the sample size increases, the standard error decreases.

Here, the percentage of people who prefer dogs to cats is 78%

so, p = 0.78

For samples of size n = 35,

SE = \(\sqrt{\frac{0.78\times (1-0.78)}{35} }\)

SE = \(\sqrt{\frac{0.1716}{35} }\)

SE = 0.07

For sample size n = 100,

SE = \(\sqrt{\frac{0.78\times (1-0.78)}{100} }\)

SE = \(\sqrt{\frac{0.1716}{100} }\)

SE = 0.041

For samples of size n = 250,

SE = \(\sqrt{\frac{0.78\times (1-0.78)}{250} }\)

SE = \(\sqrt{\frac{0.1716}{250} }\)

SE = 0.03

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The complete question is:

The percentage of people who prefer dogs to cats is 78% for a given population. What is the standard error of the sampling distribution of sample proportions for samples of size n=35, n=100, and n=250?

The critical value t for the given parameters is approximately 1.753.

To determine the critical value t for a 85% confidence interval with degrees of freedom (df) equal to 15, we can use a t-distribution table or a statistical software.

The critical value t depends on the desired confidence level and the degrees of freedom. In this case, with a confidence level of 85% and 15 degrees of freedom, we need to find the value from the t-distribution table.

Consulting a t-distribution table or using statistical software, the critical value t for a 85% confidence interval with 15 degrees of freedom is approximately 1.753 (rounded to three decimal places).

Therefore, the critical value t for the given parameters is approximately 1.753.

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Determine the critical value t for a 85% confidence interval with df=15.

The critical value t is: _____

(Provide your answer with 3 decimal places)

Answer:

The answer is B the average tax rate

Answer:

75.99%

Step-by-step explanation:

To calculate this, we can use complements. We can find, instead the probability that at least one will donate, the probability that not none of them will donate.

First, we can find the probability that none will donate, which will be (70%)^4, since the chance each will not donate is the same. From this we get 24.01%.

To find the probability that at least one donates, we do the complement:

100%-24.01%=75.99%

The population of the country will be twice what it was in 1980 approximately 67.8 years after 1980, which would be around 2047.

To find out when the population will be twice what it was in 1980, we need to set up an equation and solve for t.

Let's first determine the population in 1980:

N(0) = 217e0.0102(0) = 217

So, the population in 1980 was 217 million.

Now, we want to find out when the population will be twice that amount:

2(217) = 434

We can set up an equation:

434 = 217e0.0102t

Divide both sides by 217:

2 = e0.0102t

Take the natural logarithm of both sides:

ln(2) = 0.0102t

Solve for t:

t = ln(2)/0.0102

t ≈ 67.8

Therefore, the population of the country will be twice what it was in 1980 approximately 67.8 years after 1980, which would be around 2047.

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Answer:

The answer is > :)

Step-by-step explanation:

Standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

Therefore, the standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.

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Answer: 36

Step-by-step explanation: If you're asking what the expression equals after plugging X's value in, this should leave you with an expression of -3^2 - 5(-3) + 12. By following the order of operations, you should receive an answer of 36.

Given:

Multiply equation(1) by 2 and add with equation(2)

Option B is the final answer

Answer:

mode is 6

Step-by-step explanation:

it appears four times whereas no other number appears more than three times

In summary, given a simple dataset with 30 points, the following steps were performed: (a) OLS estimation was used to calculate the coefficients β^0 and β^1 for the regression of Y on X.

(b) the predicted value of Y was calculated for each observation; (c) the residuals were calculated for each observation; (d) the Explained Sum of Squares (ESS), Total Sum of Squares (TSS), and Residual Sum of Squares (RSS) were calculated separately; (e) the coefficient of determination R^2 was calculated; (f) the predicted value of Y was determined when X equals the last digit of the CUNY ID plus one; and (g) the interpretation of β^0 and β^1 was provided.

In detail, to calculate the OLS estimates of coefficients β^0 and β^1, a regression model of Y on X was fitted using the given dataset. β^0 represents the intercept term, which indicates the value of Y when X is zero. β^1 represents the slope of the regression line, indicating the change in Y corresponding to a unit change in X.

The predicted value of Y for each observation was obtained by plugging the corresponding X value into the regression equation. The residuals were then calculated as the difference between the observed Y values and the predicted Y values. ESS represents the sum of squared differences between the predicted Y values and the mean of Y, indicating the variation explained by the regression model.

TSS represents the total sum of squared differences between the observed Y values and the mean of Y, representing the total variation in Y. RSS represents the sum of squared residuals, indicating the unexplained variation in Y by the regression model. R^2, also known as the coefficient of determination, was calculated as ESS divided by TSS, indicating the proportion of total variation in Y explained by the regression model. Finally, the predicted value of Y was determined when X equals the last digit of the CUNY ID plus one, allowing for an estimation of Y based on the given information.

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\(\\ \rm\Rrightarrow -42z^2=14z\)

\(\\ \rm\Rrightarrow 42z^2=-14z\)

\(\\ \rm\Rrightarrow 3z^2=-z\)

\(\\ \rm\Rrightarrow 3z=-1\)

\(\\ \rm\Rrightarrow z=-1/3\)

Answer:

\( - \frac{844}{29} z\)

Step-by-step explanation:

I hope to help

Answer:

Option B

Step-by-step explanation:

Taking the derivative of the residual function, then applying the normal equation:

[a; b] = (X'*X)^(X'*y)

with

X = [1 1; 2 1; 3 1; 4 1; 5 1]

X' is transpose of X

y = [11; 8; 4; 1; 0]

[a; b] =  [-2.9 13.5]

The margin of error for a 95% confidence interval is  0.263.

A probability distribution which is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

The formula for margin of error is ;

ME = (z × σ) / √ n

The confidence interval is 95% = 0.95.

Mean (σ) =14

standard deviation = 3.

Total population (n) = 500

Substitute the values in the formula;

ME = (z × σ) / √ n

      = (1.96 × 3)/√500

      = (1.96 × 3)/22.36

ME  = 0.263

Therefore, the margin of error for a 95% confidence interval is 0.263.

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The complete question is -

A study of five hundred adults found that the number of hours they spend on social networking sites each week is normally distributed with a mean of 14 hours. The population standard deviation is 3 hours. What is the margin of error for a 95% confidence interval?

The width of the last little parallelogram, 10/3, is determined by the provided statement.

Furthermore, despite the fact that this is never the case, every rhombus is considered to be a parallelogram. A quadrilateral is a form that is flat. They arrive in quartets. A parallelogram is formed by two opposing sides that are flat and proportional to one another. Parallelograms come in 4 distinct varieties, including 3 unique varieties. Rhombuses, triangular shapes, cubes, and squares are the four types.

The diagonal area products are equal.

Divide the two sides by 6 20/6 = x = 10/3 since 4*5 Equals 6 * x 20 Equals 6 * x

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The complete question is-

A large parallelogram is divided into four small parallelograms as shown. The areas of three of the four small parallelograms are labeled in the diagram. What is the area of the remaining small parallelogram?

Answer:

a)

x²+2x

b)

2x²-5x

c)

6x²+8x

d)

6x²-12xy

hopefully i understand it correctly because my engilish is not the best