Write an inequality to model this statement: Four less than three times a number, n , exceeds ten.
Use nn as your variable.

The Pearson correlation coefficient between the scores on the first and final exams is approximately -0.165. This indicates a weak negative correlation between the two variables.

What is correlation coefficient?

To find the Pearson correlation coefficient between the scores on the first and final exams, we need to use the formula:

r = ΣZxZy / √(ΣZx² * ΣZy²)

Using the given data, we can calculate the values of Zx and Zy (standardized scores for first and final exam scores, respectively) and then calculate r as follows:

ΣZxZy = (0.481)(-0.345) + (-0.102)(0.366) + (1.720)(-0.548) + (-0.904)(-0.548) + (0.189)(-0.041) + (-0.612)(-0.650) + (0.991)(0.670) + (1.280)(1.280) + (-1.767)(-0.410) = -0.023

ΣZx² = 0.723 + 0.011 + 2.958 + 0.818 + 0.036 + 0.374 + 0.982 + 1.638 + 3.127 = 10.667

ΣZy² = 0.119 + 0.135 + 0.302 + 0.302 + 0.002 + 0.423 + 0.449 + 1.638 + 3.125 = 6.695

r = -0.023 / √(10.667 * 6.695) = -0.165

Therefore, the Pearson correlation coefficient between the scores on the first and final exams is approximately -0.165. This indicates a weak negative correlation between the two variables.

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The 5-digit codes can be made using the 10 digits if repetition is permitted is 90000

To open the lock, you may press a 5-digit code on a set of buttons

The repetition of digits is allowed

The first digit cannot be a zero, so the number of possible options is 9

In the second digit the number of possible options is 10

In the third digit the number of possible options is 10

In the fourth digit the number of possible options is 10

In the fifth digit the number of possible options is 10

So the number of possible outcomes is given by

9 x 10 x 10 x 10 x 10

= 90000

The 5-digit codes can be made using the 10 digits if repetition is permitted is 90000

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Answer:

Step-by-step explanation:

This is not a triangle at all. You must have typed the angles incorrectly. A triangle's angles have to add up to 180 and yours only add up to 160...

To find the distance between two complex numbers, we use the formula:

|z2 - z1| = sqrt((Re(z2) - Re(z1))^2 + (Im(z2) - Im(z1))^2)

where Re(z) is the real part of z and Im(z) is the imaginary part of z.

Using this formula, we can find the distance between z1 = 3+7i and z2 = -5-2i as follows:

Re(z1) = 3, Im(z1) = 7

Re(z2) = -5, Im(z2) = -2

|z2 - z1| = sqrt((-5 - 3)^2 + (-2 - 7)^2)

= sqrt((-8)^2 + (-9)^2)

= sqrt(64 + 81)

= sqrt(145)

Therefore, the distance between z1 = 3+7i and z2 = -5-2i is sqrt(145).

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In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.

In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.

The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.

The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.

This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).

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Answer:

b

Step-by-step explanation:

Totals to 77 minutes after 9:00 am.

answer:

c. just after 10:30 am

explanation:

add 15 + 15

30

+ 8 x 4

30

add 10

30 + 32 + 10 = 72 minutes

plus 5 min with coach

78 minutes

which is just past 10:00 am and to be exact it is 10:18 am

then it takes 15 minutes to get home

so milo gets home just after 10:30 am!

hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

Step-by-step explanation:

By substitution method

6x+3(2x)=12

6x+6x =12

12x=12

x=1

y=2x

y=2*1

y=2

The domain of the composite function is  - x - 3 ≥ 0 , x ≤ -3 .

The correct answer is (B).

Given,

In the question:

Over the set of real numbers.

F(x) = -x-3, G(v) = √y

G(F(x)) = √√-3-x

To find the domain of the composite function.

Now, According to the question:

Based on the given conditions:

The domain of F(x) = -x -3 is all real numbers.

The domain of

G(v) = √y is y ≥ 0

{The relationship of the domain of a composite function and the original functions}

So, - x - 3 ≥ 0 , x ≤ -3

Hence,  The domain of the composite function is  - x - 3 ≥ 0 , x ≤ -3 .

The correct answer is (B).

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Answer:

\(\frac{1}{2}x+4=30\)

52

Step-by-step explanation:

First, write the equation out in the algebraic form. Half of a number is equivalent to a number times 1/2. Additionally, increasing a number by 4 is just adding 4. So the equation is \(\frac{1}{2}x+4=30\).

Then, use algebra to solve.

1) Subtract 4 from both sides

1/2x=26

2) Multiply both sides by 2, because that is the same as dividing by a fraction

x=52

Answer:

He added $25 to the contents of his wallet.

Step-by-step explanation:

Here's what's happening, symbolically:

$6 + m = $31, or m = $25.  Jake added $25 (represented by m) to the contents of his wallet.

Answer:

\(0.9\)

Step-by-step explanation:

\(\text{Absolute value is always positive. So,}\\\\|-0.9| = 0.9\)

Answer:

You need to show us the questions. All we see are the choices to choose from...

Step-by-step explanation:

The given statement, "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is False.

Explanation: Null space is a linear algebra term used to refer to the set of all vectors that are mapped to the null vector. The solution of Ax=0 is also referred to as the null space or kernel of A. Since the matrix is of size 4x4 and non-zero, it must have at least one non-zero eigenvalue. Any non-zero vector multiplied by this non-zero eigenvalue will result in a non-zero vector, even if it is in the nullspace of the matrix. Because of this, a non-zero 4 x 4 matrix's nullspace can have four or fewer linearly independent vectors.

Hence, the statement "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is false.

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Answer:

5 is the base

4 is the exponent

a) Hypothesis test:

Null hypothesis (H0): The percentage of graduate students looking for housing on campus is equal to 15%.

Alternative hypothesis (Ha): The percentage of graduate students looking for housing on campus is greater than 15%.

To test the hypothesis, we can use a one-sample proportion test. We will calculate the test statistic and compare it to the critical value or p-value to make a decision.

The observed proportion of graduate students looking for housing on campus is 78/433 = 0.1804.

Using a significance level (α) of 0.05, we will conduct the test and calculate the test statistic and p-value.

Plan:

Test statistic: z = (p - p) / sqrt(p(1-p)/n)

where p is the observed proportion, p is the hypothesized proportion (0.15), and n is the sample size (433).

Do:

Calculating the test statistic:

z = (0.1804 - 0.15) / sqrt(0.15 * 0.85 / 433)

z ≈ 2.07

Conclude:

Since the test statistic is 2.07, we compare it to the critical value or calculate the p-value.

The critical value for a one-sided test with a significance level of 0.05 is approximately 1.645. Since 2.07 > 1.645, the test statistic falls in the rejection region.

The p-value associated with the test statistic of 2.07 is less than 0.05. Therefore, we reject the null hypothesis.

Based on the survey data, there is evidence to suggest that the percentage of graduate students looking for housing on campus is greater than 15%. The housing office should consider increasing the amount of housing available to graduate students.

b) The p-value obtained in part a) represents the probability of obtaining a test statistic as extreme as the one observed (or more extreme), assuming the null hypothesis is true.

In this case, the p-value is less than 0.05, which suggests strong evidence against the null hypothesis. It indicates that the observed proportion of graduate students looking for housing on campus is significantly higher than the hypothesized proportion of 15%.

c) Including the 21 non-respondents would change the sample size and potentially affect the estimated proportion. If these additional respondents had similar characteristics to the 433 who responded, it is possible that the recommendation might still remain the same.

However, the exact impact depends on the responses of the non-respondents, so it is difficult to determine the precise effect without their data.

d) Type II error in this study would occur if the housing office fails to increase the amount of housing on campus when it is actually necessary (i.e., the percentage of graduate students looking for housing on campus is higher than 15%).

This means the null hypothesis would not be rejected when it should have been. A consequence of this type of error would be the unmet demand for housing, potentially causing dissatisfaction among graduate students and a shortage of available housing options.

e) Type I error in this study would occur if the housing office increases the amount of housing on campus when it is not necessary (i.e., the percentage of graduate students looking for housing on campus is not higher than 15%). This means the null hypothesis would be rejected incorrectly.

A consequence of this type of error would be allocating resources and efforts towards increasing housing capacity unnecessarily, which could result in wastage of resources and potentially impact other areas of the university's operations.

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Answer:

a. True, because they are corresponding angles.

b. False, because angles 1 and 2 are supplementary, meaning that they add up to 180 degrees, but 125 + 65 = 190 degrees.

c. True, because they are corresponding angles.

d. True, becuase they are two angles that add up to 180 degrees.

e. True, because they are both interior angles on opposite sides of the transversal.

Answer:

a. True.

b. False.

c. True.

d. True.

e. True.

Step-by-step explanation:

a. This statement is true because angles 6 and 8 are vertical angles. That means they are congruent.

b. This statement is false because Elm Street is a straight line, which means that angles 1 and 2 are supplementary angles and their measures will add up to be 180 degrees. 65 + 125 = 190, which is not equal to 180.

c. This statement is true because angles 5 and 1 correspond to each other.

d. This statement is true because angles 7 and 8 form a straight line.

e. This statement is true because they are interior angles that are alternate.

Hope this helps!

Answer:

slope:12

Step-by-step explanation:

I HOPE IT HELP YOU

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Answer:

12

Step-by-step explanation

Answer:

The specific heat of the brass can be calculated using the formula:

Q = mcΔT

where Q is the heat transferred, m is the mass of the brass, c is the specific heat of the brass, and ΔT is the change in temperature.

First, calculate the heat transferred from the brass to the water:

Qbrass = mcΔT = (125 g)(c)(100 °C - 35 °C) = 9375c J

Next, calculate the heat transferred from the water to the brass:

Qwater = mcΔT = (76 g)(4.184 J/g. °C)(35 °C - 25 °C) = 3191.84 J

Since the heat lost by the brass is equal to the heat gained by the water:

Qbrass = Qwater

9375c J = 3191.84 J

c = 0.34 J/g. °C

Therefore, the specific heat of the brass is 0.34 J/g. °C.

Step-by-step explanation:

relational algebra is a sufficient tool for manipulating data in a distributed system because it provides a uniform and consistent way to access and manipulate data.

Regardless of where it is stored in the system, and because it is a declarative language that abstracts away implementation details, making it easier to maintain and evolve the system.

Relational algebra is a powerful mathematical tool used to manipulate data in a relational database. It provides a way to perform operations on data in a structured and organized manner.

In a distributed system, where multiple nodes store and process data, relational algebra is still sufficient because it provides a uniform and consistent way to access and manipulate data across the entire system.

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x = -2 is a vertical asymptote for the function.

Here, we have,

To determine the vertical asymptotes of a function, we need to find the values of x for which the denominator of the function becomes zero.

In the given function f(x) = (x + 1) / (x² + 3x + 2), the denominator is x² + 3x + 2.

To find the vertical asymptotes, we set the denominator equal to zero and solve for x:

x² + 3x + 2 = 0

Factoring the quadratic equation, we have:

(x + 1)(x + 2) = 0

Setting each factor equal to zero, we get:

x + 1 = 0 or x + 2 = 0

Solving these equations, we find:

x = -1 or x = -2

Therefore, the vertical asymptotes for the function

f(x) = (x + 1) / (x² + 3x + 2) are x = -1 and x = -2.

Among the given options, x = -2 is a vertical asymptote for the function.

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