a response variable y has correlation coefficient 0.3 with each of the predictors x1 and x2. however, these predictors are heavily correlated r x1x2

Answer:

Step-by-step explanation:

You have to use the quadratic formula

x = -b +/- \(\sqrt{(b^{2} -4ac)/2a\)

and then you can simplify both answers so the first one would be -13/2 and the second would be -27/2

you usually have to reject an answer but since there is no equal sign in the question, you should be fine

Answer:

  p = 49

Step-by-step explanation:

The markings tell you that W and Z are midpoints of VX and VY, respectively. This means the scale factor of similar triangles VWZ and VXY is 1 : 2. For the segments of interest, their ratio is ...

  WZ/XY = 1/2

  2(WZ) = XY . . . . multiply by 2

  2p = p+49 . . . . . substitute given values

  p = 49 . . . . . . . . subtract p from both sides

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

Answer: B

Step-by-step explanation: The pattern is add 1 vertically, then add one horizontally.

Step-by-step explanation:

3x squared -9 = 12

3x squared = 12 + 9

3x squared = 21

am i doing the wrong maths?

is it find what 3x squared is or....

Answer:

48

Step-by-step explanation:

2 x 8 = 16

4 x 8 = 32

8 x 8 = 64

6 x 8 = 48

2 div 16 = 8

4 div 32 = 8

8 div 64 = 8

6 div 48 = 8

Answer:

3x−4y=9 −3x+2y=9

Add these equations to eliminate x: −2y=18

Then solve−2y=18

for y: −2y=18 −2y −2 = 18 −2 (Divide both sides by -2)

y=−9

Now that we've found y let's plug it back in to solve for x.

Write down an original equation: 3x−4y=9

Substitute−9for y in 3x−4y=9: 3x−(4)(−9)=9

3x+36=9(Simplify both sides of the equation)

3x+36+−36=9+−36(Add -36 to both sides)

3x=−27 3x 3 = −27 3 (Divide both sides by 3) x=−9

Answer: x=−9 and y=−9

Hope This Helps!!!

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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Expressing the binomial coefficients in terms of factorials and simplifying algebraically. we have proved that  

\($\left(\begin{array}{l}n \\ r\end{array}\right) = \dfrac{n-r+1}{r} \cdot \left(\begin{array}{c}n \\ r-1\end{array}\right)\)

The binomial coefficient \(\left(\begin{array}{l}n \\ k\end{array}\right)\) is the number of ways of picking k unordered outcomes from n possibilities, also known as a combination or combinatorial number. The symbols \(_nC_k\) and \(\left(\begin{array}{l}n \\ k\end{array}\right)\) are used to denote a binomial coefficient, and are sometimes read as "n choose k."

\($$In general, $\left(\begin{array}{l}n \\ r\end{array}\right) \neq\left(\begin{array}{c}n \\ r-1\end{array}\right)$To solve (a), simply expand LHS.$$\left(\begin{array}{l}n \\r\end{array}\right)=\frac{n !}{r ! \cdot(n-r) !}=\frac{n !}{r \cdot(r-1) ! \cdot(n-r) !}$$Multiply numerator and denominator by $(n-r+1)$, then,$$\left(\begin{array}{l}n \\r\end{array}\right)=\frac{n-r+1}{r} \cdot \frac{n !}{(r-1) ! \cdot(n-r+1) !}=\frac{n-r+1}{r} \cdot\left(\begin{array}{c}n \\r-1\end{array}\right)$$\)

Thus, Expressing the binomial coefficients in terms of factorials and simplifying algebraically. we have proved that  

\($\left(\begin{array}{l}n \\ r\end{array}\right) = \dfrac{n-r+1}{r} \cdot \left(\begin{array}{c}n \\ r-1\end{array}\right)\)

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Full question:

Expressing the binomial coefficients in terms of factorials and simplifying algebraically, show that:

(a) \($\left(\begin{array}{l}n \\ r\end{array}\right) = \dfrac{n-r+1}{r} \cdot \left(\begin{array}{c}n \\ r-1\end{array}\right)\)

Answer: 680

Step-by-step explanation:

3 parts are male and 1 part is female. This adds up to 4 parts = 1360

3 part - 1 part (male - female) = 2 parts of the original which is 1/2 of 4 parts

1/2 of 1360 = 680

Simple maths

The required there 680 more males than females, who came to watch the match.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
1360 people watch a hockey match the ratio of male to female is 3:1.
number of males = 1360 × 3 / [3 + 1] = 1020 males
number of females = 1360 × 1 / [3 + 1] = 340 females

Differences males and females = 1020 - 340 = 680,
There were 680 more males than females, who came to watch the match.

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Answer:

-2

Step-by-step explanation:

When you distribute, you are mutiplying.

-2 x 1 = -2

with the correct sampling method, you expect to obtain a sample mean exactly the same as the population mean is false statement.

Sampling is an important tool used to collect data from a population. It is a process by which a subset of individuals from the population is selected to represent the population as a whole. Sampling allows researchers to collect data more quickly and efficiently than if data were collected from the entire population. It is also cost-effective and time-saving. However, it is important to note that no sampling method can guarantee that the sample mean will be exactly the same as the population mean. This is because of the random nature of sampling, which means that a sample mean could be slightly different from the population mean. Therefore, it is important to use appropriate sampling techniques and to be aware of the potential for sampling bias.

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Answer:

Second central moment = \((a^2 - ab + b^2) / 4\\\)

Third central moment = \((a^3 - 3a^2b + 3ab^2 - b^3) / 8\)

Step-by-step explanation:

The second central moment (also known as the variance) of a variable that takes two distinct values a and b, each with equal frequency, is given by:

Second central moment = (a - mean)^2 * frequency(a) + (b - mean)^2 * frequency(b)

where mean is the mean value of the variable, frequency(a) is the frequency with which the value a occurs, and frequency(b) is the frequency with which the value b occurs.

Since the values a and b have equal frequency, the mean value of the variable is simply the average of a and b:

mean = (a + b) / 2

Substituting this expression for the mean into the formula for the second central moment, we get:

Second central moment = (a - ((a + b) / 2))^2 * frequency(a) + (b - ((a + b) / 2))^2 * frequency(b)

= (a^2 - ab + b^2) / 4

The third central moment (also known as the skewness) of a variable that takes two distinct values a and b, each with equal frequency, is given by:

Third central moment = (a - mean)^3 * frequency(a) + (b - mean)^3 * frequency(b)

Substituting the expression for the mean and the frequencies into this formula, we get:

Third central moment = (a - ((a + b) / 2))^3 * (1/2) + (b - ((a + b) / 2))^3 * (1/2)

= (a^3 - 3a^2b + 3ab^2 - b^3) / 8

I hope this helps! Let me know if you have any questions.

Answer:

A. Count by hand.

B. Divide 20 by 2.

Step-by-step explanation:

The midpoint between two points is found by the mean of their coordinates.

Endpoints at (0,0) and (20,0)

So we have x coordinates of 0 and 20. Their mean is:

\(\frac{20 - 0}{2} = 10\)

So we can find both counting by hand, or dividing 20 by 2.

Answer:

3528

100 x 36 = 3600

36 x 2 = 72

3600 - 72 = 3528

Answer:

a. Alice’s claim is correct.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval is inversely proportional to the sample size. This means that a smaller sample size leads to a smaller margin of error and a narrower interval, while a larger sample size leads to a larger margin of error and a wider interval.

Alice claims that a sample size of 25 will produce a narrower interval

25 > 20, so smaller margin of error and narrower interval, which means that Alice is correct.

Desmond claims that a sample size of 15 will produce a narrower interval.

15 < 20, so larger margin of error and wider interval, which means that Desmond is wrong.

So the correct answer is given by option a.

Answer:

P = 0.637

Step-by-step explanation:

By a small online search, i've found that the image is a circle of radius R = 1in, and a square inside of the circle, such that the distance between the center of the square and the one vertex of the square is one inch.

To solve this problem, we need to find the area of each figure.

The area of a circle of radius R is:

A = 3.14*R^2

Then the area of our circle is:

A = 3.14*(1in)^2 = 3.14 in^2

Now for the square.

If the distance between the center and one vertex is 1 inch, then the distance between two opposite vertex is twice that: 2 inches.

Now we can think of a triangle rectangle, where both catheti are equal to L, the side length of the square, and the hypotenuse is 2 inches.

Using the Pythagoreans theorem, we get:

L^2 + L^2 = (2in)^2

2*L^2 = (2in)^2

L^2 = (2in)^2/2 = 2 in^2

L = √(2 in^2) = √2 in

And the area of a square of side length L, the area is:

A = L^2

Then the area of our square is:

A = (√2 in) = 2 in^2

Then:

Area of the circle = 3.14 in^2

Area of the square = 2 in^2

The area of the circle represents the 100% (if a point is chosen at random in the circle, the probability that the point will be inside the circle is P = 1)

The probability that the point will be inside the square is equal to the quotient between the area of the square and the area of the circle, this is:

P = (2 in^2)/(3.14 in^2) = 0.637

The ways to pack are

This is further explained below.

Generally, The science, art, and technology of packaging involves confining or safeguarding goods for distribution, storage, sale, and usage. The process of creating, analyzing, and designing packages is sometimes referred to as packaging.

In conclusion,

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Answer:

Circumference = 37.68

Area = 113.04

Step-by-step explanation:

Circumference = π × d

Circumference = 3,14 × 12 feet

Circumference = 37.68

Area = π × r²

Area = 3,14 × 6 × 6

Area = 113.04

Answer:

Well according to the number line shown, it is in the negative area and if you see this it is near -6.5, all you need to do is count the spots until it hits the circle which is -6.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

- 6.8.... just count the tenths marks..  6.1,6.2,6.3... ect, ect

2 + 9i - i sqr of 2 is the answer pls mark brainleisest

Answer:

-7 -\(\sqrt{2}\)i

Step-by-step explanation:

The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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The expression 3^(3/2) is equal to ²√27. The 4th option is the answer

Index is the power or exponent which is raised to a number or a variable e.g in number 3⁵, 5 is the index of 3. The 3 is called the base. The plural form of index is indices.

The expression 3^(3/2) can be written in form of root and power. That is:

3^(3/2) = ²√3³

3^(3/2) = ²√27

Therefore, the expression 3^(3/2) is equal to ²√27

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The collection, description, analysis, and drawing of conclusions from quantitative data are all included in the area of statistics, which is a branch of applied mathematics. Probability theory, linear algebra, and calculus of differential and integrals are some of the core mathematical concepts in statistics.

Descriptive statistics were used in the statement.

Descriptive statistics is a branch of statistics that deals with the collection, presentation, and summary of data. It is used to describe and summarize the main features of a data set, such as measures of central tendency (e.g., mean, median, mode) and measures of dispersion (e.g., range, variance, standard deviation).

In this case, the statement is simply reporting a single value, the average credit card debt for college students in 2008. This is an example of a descriptive statistic because it is a summary measure that describes a characteristic of the population or sample under study.

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Descriptive statistics were used in the statement.

Descriptive statistics is a branch οf statistics that deals with the analysis, descriptiοn, and summarizatiοn οf data. It invοlves the use οf variοus statistical measures, such as measures οf central tendency (mean, median, and mοde), measures οf dispersiοn (standard deviatiοn, variance, range), and graphical representatiοns (histοgrams, bοx plοts, scatter plοts, etc.) tο describe the features οf a dataset.

Descriptive statistics were used in the statement. The statement is simply describing the average credit card debt fοr cοllege students in 2008. Descriptive statistics are used tο describe οr summarize a dataset οr pοpulatiοn, while inferential statistics are used tο draw cοnclusiοns οr make predictiοns abοut a larger pοpulatiοn based οn a sample οf data. Since the statement οnly prοvides infοrmatiοn abοut a specific grοup οf cοllege students in 2008, it dοes nοt invοlve making any inferences οr predictiοns beyοnd this grοup.

Hence, Descriptive statistics were used in the statement.

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Answer:

choice 4

Step-by-step explanation:

complementary angles sum to 90