Lanie reads 25 pages in 30 minutes. If Paine reads 200 pages at the same rate how long will it take her?

The following can be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other: B. PR and SQ have the same midpoint.

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel opposite sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:

(Line segment PR)/2 = (Line segment SQ)/2

Line segment PR = Line segment SQ

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Answer:

its 1290 ans there is the awer

Test the claim that the proportion of people who own cats is significantly different than 70% at the 0.02 significance level. The p-value is 0.024.

The null and alternative hypotheses for the claim that the proportion of people who own cats is significantly different than 70% at the 0.02 significance level are:

H0: p = 0.7 (null hypothesis

)H1: p ≠ 0.7 (alternative hypothesis)

The test is a two-tailed test because the alternative hypothesis includes not equal to (<>) which means either p is less than 0.7 or greater than 0.7

Based on a sample of 500 people, 62% owned cats.

This means that the sample proportion, p = 0.62.

To calculate the p-value, we will use the z-test statistic.

The formula for calculating the z-test statistic is given as:

z = (p - P) / √(PQ/n) where P is the hypothesized proportion (P = 0.7), Q is the complement of P (Q = 1 - P), and n is the sample size.

Using the given values in the formula, we have; z = (0.62 - 0.7) / √(0.7 × 0.3 / 500) = -2.52

The p-value for a two-tailed test at 0.02 level of significance is obtained from the standard normal table.

The area in both tails beyond the z-score of 2.52 is 0.012.

Therefore, the p-value is:

p-value = 2 × 0.012 = 0.024

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Answer:

E and F

Step-by-step explanation:

4x² + 20x + 25 = 49 ← left side is a perfect square

(2x + 5)² = 49 ( take square root of both sides )

2x + 5 = ± \(\sqrt{49}\) = ± 7 ( subtract 5 from both sides )

2x = - 5 ± 7

then

2x = - 5 - 7 = - 12 (divide both sides by 2 )

x = - 6

or

2x = - 5 + 7 = 2 ( divide both sides by 2 )

x = 1

solutions are x = - 6 , x = 1

Answer:

- g - 6 ≤ 10.5

Step-by-step explanation:

Answer:

-g-6 is less than or equal to 10.5

Step-by-step explanation:

replace the g with 5.

Answer:

7/12

Step-by-step explanation:

Answer:

13 \(\frac{1}{3}\)

Step-by-step explanation:

\(20+.1x=.4\left(40+x\right)\)

x=40/3 = 13 \(\frac{1}{3}\)

Answer:

\(x=\pm\sqrt{26}\)

Step-by-step explanation:

\(ln(x^2-25)=0\)

\(e^{ln(x^2-25)}=e^0\)

\(x^2-25=1\)

\(x^2=26\)

\(x=\pm\sqrt{26}\)

The potential solutions of expression is,

⇒ x = ± √26

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ ln (x² - 25) = 0

Now, We can simplify the expression as;

⇒ ln (x² - 25) = 0

⇒ (x² - 25) = e⁰

⇒ (x² - 25) = 1

⇒ x² = 26

⇒ x = ± √26

Thus, The potential solutions of expression is,

⇒ x = ± √26

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True, the error rate of the ensemble classifier will be smaller than e when e = 0.3 and all base classifiers are independent.

The error rate of an ensemble classifier can be expressed as follows:

error rate = E(Y ≠ h(X)),

where Y is the true class label, h(X) is the predicted class label, and E() denotes the expected value.

Assuming that all base classifiers are independent, the probability of error for each classifier is e = 0.3. Then, the probability that a majority of the classifiers will make an error is given by the binomial distribution:

P(X > n/2) = ∑(n/2 to n) (n choose k) e^k (1-e)^(n-k)

where n is the number of classifiers in the ensemble, and X is the number of classifiers that make an error.

Since we have assumed that all base classifiers are independent, we can simplify the above expression using the central limit theorem, which states that the binomial distribution approaches a normal distribution as n gets larger. Therefore, we have:

P(X > n/2) ≈ 1 - Φ((n/2 - ne)/sqrt(ne(1-e))),

where Φ() is the standard normal cumulative distribution function.

Substituting e = 0.3 and simplifying, we get:

P(X > n/2) ≈ 1 - Φ((n/2 - 0.3n)/sqrt(0.21n))

As n gets larger, the right-hand side of the above expression approaches 0. Therefore, the error rate of the ensemble classifier approaches 0 as the number of base classifiers increases. In other words, the error rate of the ensemble classifier will be smaller than e = 0.3 when all base classifiers are independent.

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The transformations needed to show that a square CD case is similar to a baseball diamond are a dilation and a rotation.

A dilation is a transformation that enlarges or shrinks an object by a certain factor. In this case, the CD case would need to be enlarged by a factor of 4 to match the size of the baseball diamond.

A rotation is a transformation that turns an object about a certain point. In this case, the CD case would need to be rotated 90 degrees about its center to match the orientation of the baseball diamond.

Once the CD case has been dilated and rotated, it will be similar to the baseball diamond. This means that the two figures will have the same shape, but they will not be the same size.

Answer:

i think 22

Step-by-step explanation:

9*22=198

Answer:

D. 25.3

Step-by-step explanation:

tan∅ = opposite over adjacent

Step 1: Write equation

tan66.5° = x/11

Step 2: Multiply both sides by 11

11tan66.5° = x

Step 3: Evaluate

x = 25.2983

x ≈ 25.3

Answer:

\(\huge\boxed{x = 25.3}\)

Step-by-step explanation:

Tan θ = opposite / adjacent

Where θ = 66.5 , opposite = x and adjacent = 11

Tan 66.5 = x / 11

2.3 * 11 = x

25.3 = x

OR

x = 25.3

The -value of the test is 1.90. This indicates that the mean processing time is significantly greater than 5.5 hours, supporting the manufacturer's desire to set a standard time required by employees to complete a certain process

The t-value will be equal to 1.39 for the given statistics.

To test if the mean processing time exceeds 5.5 hours, we can use a one-sample t-test.

The null hypothesis is that the mean processing time is less than or equal to 5.5 hours:

H0: µ ≤ 5.5

The alternative hypothesis is that the mean processing time is greater than 5.5 hours:

Ha: µ > 5.5

We will use a significance level of 0.05.

The formula for the t-test statistic is:

t = (X - µ) / (s / √n)

Where:

X = sample mean

µ = hypothesized population mean

s = sample standard deviation

n = sample size

Substituting the given values, we get:

t = (6 - 5.5) / (2 / √21) = 1.386

The degree of freedom for the t-test is n-1 = 20.

Using a t-table or calculator, the p-value associated with a t-value of 1.386 and 20 degrees of freedom is 0.093.

Since the p-value (0.093) is greater than the significance level (0.05), we fail to reject the null hypothesis. Therefore, there is not enough evidence to suggest that the mean processing time exceeds 5.5 hours.

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The value of x is 13.85.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

From the figure,

(7x + 1)° and (6x - 1)° makes a straight angle.

This means,

(7x + 1) + (6x - 1) = 180

7x + 1 + 6x - 1 = 180

13x = 180

x = 180/13

x = 13.85

Thus,

x is 13.85°

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Answer:

His balance is $4,849.65 after 5 years

Step-by-step explanation:

A = P(1 + r/n)^nt

A = future value = ?

P = present value = $4,500

r = interest rate = 1.5% = 0.015

n = number of periods = 4

t = time = 5 years

A = P(1 + r/n)^nt

= 4,500(1 + 0.015/4)^4*5

= 4,500(1 + 0.00375)^20

= 4,500(1.00375)^20

= 4,500(1.0777)

= 4,849.65

A = $4,849.65

His balance is $4,849.65 after 5 years

(i) Assumptions of classical linear regression: linearity, independence, homoscedasticity, no perfect multicollinearity, zero conditional mean, and normality. Violation: perfect multicollinearity between X2, X3, and X4.

(ii) Omitted variable bias occurs when X4 is omitted from the model, leading to a biased estimate of β2 compared to α2 if X2 and X4 are correlated.

In the given model, the assumption of no perfect multicollinearity is violated when the regressors X2, X3, and X4 are defined as the log of per capita GDP, the log of the square of per capita GDP, and the proportion of population with graduation, respectively. X3 is a function of X2, and X4 may be correlated with both X2 and X3. This violates the assumption that the independent variables are not perfectly correlated with each other.

Omitted variable bias in β2 compared to α2 occurs when X4 is omitted from the model. This bias arises because X4 is a relevant explanatory variable that affects the dependent variable (Y), and its omission leads to an incomplete model. The bias in β2 arises from the correlation between X2 and X4. If X2 and X4 are not correlated, β2 will equal α2, and there will be no omitted variable bias. However, if X2 and X4 are correlated, omitting X4 from the model will result in a biased estimate of β2 because the omitted variable (X4) affects both Y and X2, leading to a bias in the estimation of the relationship between Y and X2.

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The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.

He comes to a river that he must cross from east to west, and there is a boat available to do so.  Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."

The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.

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Answer:

350 days

Step-by-step explanation:

If Ravi is eliminating 100 calories per day, and one pound of body fat is 3500 calories, then it will take him 35 days to lose one pound of body fat.

Multiply 35 by 10 to find how long it will take for him to lose 10 pounds:

35(10)

= 350

So, it will take him 350 days to lose 10 pounds.

Answer:

350

Step-by-step explanation:

Answer:

120 sq ft.

Step-by-step explanation:

REMEMBER: Area is found by multiplying one side, by the other side that isn't the same length as it.

Multiply 12 by 10 to get 120

120 is the area of the bedroom

one real eigenvalue. find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.

What is eigenvalue?

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that, when the linear transformation is applied to it, changes at most by a scalar factor. The factor by which the eigenvector is scaled is known as the associated eigenvalue, frequently denoted by lambda.

a) -4

b) 1

c) 1

Step-by-step explanation:

a) The matrix A is given by:

\(A=\left[\begin{array}{ccc}-3 & 0 & 1 \\2 & -4 & 2 \\-3 & -2 & 1\end{array}\right]\\\)

where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:

\(A-\lambda I=\left[\begin{array}{ccc}-3-\lambda & 0 & 1 \\2 & -4-\lambda & 2 \\-3 & -2 & 1-\lambda\end{array}\right]\)

and by taking the determinant:\(\begin{aligned}& {[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-} \\& \lambda)+(2)(-2)(-3-\lambda)]=0 \\& -\lambda^3-6 \lambda^2-12 \lambda-16=0\end{aligned}\)

and the roots of this polynomial is:

\(\begin{aligned}& \lambda_1=-4 \\& \lambda_2=-1+i \sqrt{3} \\& \lambda_3=-1-i \sqrt{3}\end{aligned}\)

hence, the real eigenvalue of the matrix A is -4.

b) The multiplicity of the eigenvalue is 1.

c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)

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Complete Quetion

The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace. The eigen value = has multiplicity = and the dimension of the corresponding eigenspace is:_______.

Answer:

i'm sure you would have a amount of 1,200 dollars because there are 12 months in a year and you just got to x times 100 x 12=1,200 Booyah

Step-by-step explanation:

Answer:

89%

Step-by-step explanation:

the real answer is 64 fluid ounces

64/72*100 which is 88.89% or 89%

Hope this helps plz hit the crown :D

The percent error of Jinn's mother's estimate is 11.12%.

The degree to which a measured or calculated value is closest to its true value is measured by its accuracy. The error percentage is calculated by multiplying the error to real value by 100. The repeatability of a set of measurements is gauged by the precision of each measurement.

Given that Jinn's mother estimates there is a half-gallon of fruit punch remaining in the container. Therefore, the estimated amount can be written as,

Estimated amount = 0.5 gallons = 0.5 × (128 ounces) = 64 ounces

It is also given that there are actually 72 ounces of fruit punch in the container. Therefore, the percent error of Jin's mother's estimate is

Percentage Error = [ |Estimated value - Real Value| ) /Real Value] × 100%

                             = [( |64 ouches - 72 ounces| )/72 ounces] × 100%

                             = [(8 ounces)/72 ounces] × 100%

                             = 0.11111 × 100%

                             = 11.12%

Hence, the percent error of Jinn's mother's estimate is 11.12%.

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Answer:

x - 1

Step-by-step explanation:

3(3x + 3) - 2(5 + 4x)

9x + 9 -10 - 8x

x - 1

hope this helps!

Answer: Credit cards are safer to carry than cash and offer stronger fraud protections than debit.

Answer:

(0,3)

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

3/4 x 2/4 = 3/8 as a fraction form.

Answer:

3/8

Step-by-step explanation:

Answer:

Hey there!

4 2/3 can be written as 14/3

The ones that represent a rational number are the fourth and fifth options.

Let me know if this helps :)