Find two numbers whose difference is 8 but whose average is 13.

2400 - 40x = 600

As she has not studied 600 flashcards still, we subtract unit rate from total.

40x - 600 = 2400

Here 'x' represent per hour. As he rents studio space for 600, subtracting this from total he earns by charging his students gives us the profit.

(600 + 40)x = 2400

Here 'x' represent mass. As masses are same for both. They can be joined.

Answer:

25^-1.5=0.008

Step-by-step explanation:

The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.

The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.

The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.

By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.

Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.

Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.

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Question

The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.

Answer:

y= -1.5x+2

Step-by-step explanation:

Absolute value equality entered:

|x-3|+2 = 7

Another term is moved/added to the right-hand side.

|x-3| = 7 - 2

|x-3| = 5

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |x-3|

For the Negative case, we'll use -(x-3)

For the Positive case, we'll use (x-3)

-(x-3) = 5

Multiply

-x+3 = 5

Rearrange and add up

-x = 2

Multiply both sides by (-1)

x = -2

Which is the solution for the Negative Case

(x-3) = 5

Rearrange and add up

x = 8

Which is the solution for the Positive Case

x=-2

x=8

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Answer:

Um

Step-by-step explanation:

Its half of diameter

Are you thinking of circumference and area?

Answer: Price of a shirt is $8, and price of a cap is $3.

Step-by-step explanation:

Got it on the test right.

Answer:

Step-by-step explanation:

The expected value of the distribution is 0.84, which means that on average, a randomly chosen family household in the US in 2016 had 0.84 related children under the age of 18.

To find the expected value of this distribution, we need to multiply each possible number of children by its corresponding probability, and then add up the products. Since the table includes the category "4" to represent "four or more" children, but we're assuming it means exactly four children, we need to adjust the probability for the "4" category.

We can do this by subtracting the total probability of all the other categories from 1, since the probabilities must add up to 1

P(4) = 0.02 - 0.58 - 0.18 - 0.16 - 0.06 = 0.04

Now we can calculate the expected value

E(X) = (0)(0.58) + (1)(0.18) + (2)(0.16) + (3)(0.06) + (4)(0.04)

= 0 + 0.18 + 0.32 + 0.18 + 0.16

= 0.84

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The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

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Answer:

Step-by-step explanation:

7 quarter mile laps totals 7/4 miles, or 1 3/4 miles.

1 3/4 miles is between 1 and 2, a subset of real numbers.

Answer:

0.040 "<" 0.207

Step-by-step explanation:

0.040

0.207

We can see that there is a 2 in 0.207 in the tenths spot, which automatically makes it larger than 0.040.

Write an inequality using the "<" sign:

0.040 < 0.207.

Hope this helps!

The equation of the line through \((1,2)\) which make equal intercepts on the axis \(x+y=3\)

The equation of the line through (1,2) makes an equal intercept on the axis

The formula of the intercept form is

\(\frac{x}{a} +\frac{y}{b} =1\)

If they make an equal intercept

\(a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a\)

Put the value of the point in the axis, and we get.

\(1+2=a\\a=3\)

Put the value in the equation, and we get.

\(x+y=3\)

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No, if the null hypothesis is rejected at the a = 1% level of significance based on a two-tailed test, it does not necessarily mean that it will also be rejected at the a = 1% level of significance for a corresponding one-tailed test.

In a two-tailed test, the alternative hypothesis considers the possibility of a difference in either direction from the null hypothesis. The p-value calculated for a two-tailed test represents the combined probability of observing a result as extreme or more extreme than the one obtained, in either tail of the distribution.

However, in a one-tailed test, the alternative hypothesis only considers the possibility of a difference in one specific direction (either greater than or less than the null hypothesis value). The p-value calculated for a one-tailed test represents the probability of observing a result as extreme or more extreme than the one obtained, in only one tail of the distribution.

Therefore, if the null hypothesis is rejected at the a = 1% level of significance based on a two-tailed test, it means that the observed result is statistically significant in at least one direction. However, for the corresponding one-tailed test, the result may or may not be statistically significant, as it depends on the specific direction being tested and the associated p-value.

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Answer:

That's the answer

please mark brainiest

Step-by-step explanation:

Can you take picture I don't understand the given

Answer:

4y-5xz has a degree of 2

Step-by-step explanation:

The degree of an expression the the largest degree of any of its terms.

The degree of a term is the sum of the exponents of the variables in that term.

4

y

=

4

y

1

has a degree of 1

5xz=5x1z1

has a degree of ( 1+1)=2

(5xz)

has a higher degree than

(4y)

Therefore the degree of the expression is the degree of

(5xz) , namely 2

Answer:

None of the options is true

Step-by-step explanation:

Given

\(y &lt; 3x - 1\)

\(y &gt; -x + 4\)

Required

Which makes the above inequality true

The missing options are:

\((4,0)\ (1,2)\ (0,4)\ (2,1)\)

\((a)\ (x,y) = (4,0)\)

Substitute values for x and y in the inequalities

\(y &lt; 3x - 1\)

\(0<3*4 - 1\)

\(0<12 - 1\)

\(0<11\) ---- This is true

\(y &gt; -x + 4\)

\(0 > -4 + 4\)

\(0 > 0\) --- This is false

\((b)\ (x,y) = (1,2)\)

Substitute values for x and y in the inequalities

\(y &lt; 3x - 1\)

\(2<3 * 1 - 1\)

\(2<3 - 1\)

\(2<2\) --- This is false (no need to check the second inequality)

\((c)\ (x,y) = (0,4)\)

Substitute values for x and y in the inequalities

\(y &lt; 3x - 1\)

\(4< 3*0-1\)

\(4< 0-1\)

\(4<-1\) --- This is false (no need to check the second inequality)

\((d)\ (x,y) = (2,1)\)

Substitute values for x and y in the inequalities

\(y &lt; 3x - 1\)

\(1<3*2-1\)

\(1<6-1\)

\(1<5\) --- This is true

\(y &gt; -x + 4\)

\(1 > -2+4\)

\(1 > 2\) -- This is false

Hence, none of the options is true

To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

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The graph of the inequality y^2 > 0 represents all real numbers except y = 0.

The graph of the inequality y < 30 represents all real numbers less than 30.

The inequality y^2 > 0 represents all values of y where y squared is greater than 0. Since the square of any nonzero number is always positive, the solution is all real numbers except y = 0, which can be graphed as a number line with an open circle at y = 0.

The inequality y < 30 represents all values of y that are less than 30. This can be graphed as a horizontal line on the y-axis with an open circle at y = 30, indicating that 30 is not included in the solution set.

For the real-world applications, let's solve them step-by-step:

Two numbers add up to 144. One number is half the square of the other number.

Let's assume the two numbers are x and y. We have the following system of equations:

x + y = 144 (Equation 1)

x = (1/2)y^2 (Equation 2)

From Equation 1, we can solve for x in terms of y: x = 144 - y.

Substituting this into Equation 2, we get 144 - y = (1/2)y^2.

Rearranging the equation, we have: (1/2)y^2 + y - 144 = 0.

Now we can solve this quadratic equation for y. Once we find the value(s) of y, we can substitute them back into Equation 1 to find the corresponding values of x.

The squares of two numbers add to 1,156. The second number is the square root of three times the square of the first number.

Let's assume the two numbers are x and y. We have the following system of equations:

x^2 + y^2 = 1156 (Equation 1)

y = √(3x^2) (Equation 2)

Substituting Equation 2 into Equation 1, we get: x^2 + (√(3x^2))^2 = 1156.

Simplifying, we have x^2 + 3x^2 = 1156.

Combining like terms, we get 4x^2 = 1156.

Now we can solve this quadratic equation for x. Once we find the value(s) of x, we can substitute them back into Equation 2 to find the corresponding values of y.

Remember to leave a 1 line space between paragraphs in your answer.

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Answer:

{3x}{20}

thats wa i got

Answer:

Step-by-step explanation:

no triangle

11<4+3 false

Answer:

Take a scale and draw a line of 4 centimetres.

Then again on its opposite side draw 3 cm. The connect final sides. I this way no triangle is Made.

Answer:

(i)  29 : 6

(ii)  5 : 29

(iii) 6 : 5

Step-by-step explanation:

Total cost in dollars of the meal, tax and tips is $18.75

Tips are bonus or extra payment that a customer wants to pay to the counter of restaurant or to certain workers to express the gratitude toward their hospitality. How much money will be paid is determined by the customer himself.

given, cost of meal = $15 before tax and tip

After that $7% tax and $18% tip are included upon the cost of meal

Now, cost for tax = $ (7/100 × 15) = $1.05

cost for tip = $ (18/100 × 15) =$2.7

Total cost for meal, tax and tips = cost for meal + cost for tax + cost for tip

 Total cost = $18.75

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Step-by-step explanation:

SI = P × R × T / 100

= 56780 × 3 × 3 / 100

= 5110.2

Answer:

A tiny cat named Tiny sits all day in the window and watches people pass by.

Step-by-step explanation:

A tiny cat named Tiny sits all day in the window and watches people pass by.A tiny cat named Tiny sits all day in the window and watches people pass by.A tiny cat named Tiny sits all day in the window and watches people pass by.A tiny cat named Tiny sits all day in the window and watches people pass by.A tiny cat named Tiny sits all day in the window and watches people pass by.A tiny cat named Tiny sits all day in the window and watches people pass by.A tiny cat named Tiny sits all day in the window and watches people pass by.

According to the conditional statement, the false option is:

The statement is:

It says nothing about not studying for the test, hence the third and fourth options are ignored.

If you study, you are ensured a grade higher than 75, hence, the false option is:

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\(19+1,5(10m-8)=127\\\\19+15m-12=127\\\\15m+7=127 \ \ /-7\\\\15m=120 \ \ /:15\\\\\huge\boxed{m=8}\)

Answer:

\(m=8\)

Step-by-step explanation:

\(19 + 1.5(10m-8) = 127\)

Multiply both sides by 10

\(190+15(10m-8)=1270\)

Subtract 190 from both sides

\(15(10m-8)=1080\)

Divide both sides by 15

\(10m-8=72\)

Add 8 to both sides

\(10m=80\)

Simplify

\(m=8\)