What does co-prime mean?
Sentence example = p,q are co-prime are called rational numbers

Answer:

$65m + 125 = 1165

Step-by-step explanation:

True. Comparing two marginal distributions can show if the corresponding two variables are related. This can be done by calculating the correlation coefficient of the two variables.

The correlation coefficient is a numerical measure of the degree of the linear relationship between two variables and can be calculated by dividing the covariance of the two variables by the product of their standard deviations. The correlation coefficient ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation and 1 indicates a perfect positive correlation.

If the correlation coefficient is close to zero, then the two variables are not significantly related. If the correlation coefficient is close to -1 or 1, then it can be inferred that the two variables are related.

Learn more about Marginal Distribution:

https://brainly.com/question/13127182

#SPJ4

4. We start with the base case of \(5^0 = 1\) and recursively generate the next element in the set by multiplying the previous element by \(5\).

5. if a divides \(b\) and \(b\) divides \(a\), either a equals \(b\) or \(a\) equals negative \(b\).

4. The recursive definition of the set of positive integer powers of 5 can be expressed as follows:

Base case: \(5^0 = 1\) is in the set.

Recursive step: If n is in the set, then \(5^(n+1)\) is also in the set.

Using this definition, we start with the base case of \(5^0 = 1\)and recursively generate the next element in the set by multiplying the previous element by \(5\).

5. To prove that if a divides \(b\) and \(b\)divides \(a\), then a equals \(b\) or \(a\) equals negative \(b\), we can use the definition of divisibility.

Assume that \(a\) divides \(b\), denoted as \(a | b\) , and \(b\) divides \(a\), denoted as \(b | a.\)

By definition, if a divides b, there exists an integer k such that b = ak.

Similarly, if \(b\) divides \(a\), there exists an integer m such that \(a = bm.\)

Substituting the expression for\(b\) in terms of \(a\), we have \(bm = ak.\)

Dividing both sides by b (since b is nonzero), we get m = a/b.

Since \(m\) is an integer, \(a/b\) must be an integer, which means \(a\) is divisible by \(b\).

If \(a/b\)  is an integer, it implies that \(b/a\)is also an integer, which means \(b\) is divisible by \(a\).

Therefore, if \(a\) divides \(b\) and \(b\) divides \(a\), it follows that \(a/b\) and \(b/a\) are both integers.

If \(a/b = m\) and \(b/a = k\), then we have \(a = bm\) and\(b = ak.\)

\(If m = k = 1, then $a = b.\)

\(If m = k = -1, then a = -b.\)

Therefore, if \(a\) divides \(b\) and \(b\) divides \(a\), either \(a\) equals \(b\) or \(a\) equals negative \(b\).

Learn more about Recursion

https://brainly.com/question/31387281

#SPJ11

The total inches Derek has grown in the past three years is 3 inches.

None of the given options is correct.

Given information:

For the previous three years, Derek has become an inch taller every year.

This means that we can add up those three inches to find his total growth over the three-year period.

Thus, 1 + 1 + 1 equals 3 inches.

Derek has therefore gained 3 inches in total over the last three years.

To learn more about the addition;

brainly.com/question/29464370

#SPJ1

Answer:

The name of the solid with 20 faces that are congruent equilateral triangles is icosahedron.

The solid you are referring to is called an icosahedron. An icosahedron is a specific type of convex polyhedron that has 20 faces. In this case, all 20 faces are congruent equilateral triangles. Option d is correct answer.

To understand why this solid is called an icosahedron, let's break down the term. "Icosa-" comes from the Greek word for twenty, while "-hedron" means face. Therefore, an icosahedron is a polyhedron with twenty faces.

Each face of an icosahedron is an equilateral triangle, meaning that all three sides of the triangle are equal in length, and all three angles are equal to 60 degrees. Since all 20 faces are congruent, they have the same side lengths and angles.

The icosahedron has a total of 12 vertices and 30 edges. The vertices are the points where three edges meet, and the edges are the line segments connecting the vertices. The icosahedron has a symmetrical and regular structure, making it one of the five Platonic solids.

An icosahedron is a convex polyhedron with 20 congruent equilateral triangle faces, 12 vertices, and 30 edges.

Option d is correct answer.

For more question icosahedron

https://brainly.com/question/10357380

#SPJ8

Answer:

(-2,-5)

Step-by-step explanation:

point A=(-8,5)

point M=(-5,0)

The difference between them is that point m is 3 to the right and 5 down. We have to do this again to find point b

Point B= (-2,-5)

Answer:

\(23 \: of \: 6 \\ 23 \times 6 \\ = > \frac{ \binom{23}{ \times 6} }{138} \\ 23 \: of \: 6 = 138\)

Answer:

  4. See attached

  5.  D. C(8) = 22

Step-by-step explanation:

4. You want the graph of g(x) = -1/3x +5.

5. You want the functional form of the expression telling you the cost of 8 gallons of gas is $22, where C(x) represents the cost of x gallons.

The +5 in the equation g(x) = -1/3x +5 is the y-intercept. It tells you the point y=5 on the y-axis is on the line you want to graph.

The -1/3 in the equation is the slope of the line. This ratio tells you the line drops 1 unit for each 3 units to the right. That is, points (3, 4), (6, 3), (9, 2) will be on the line.

The graph is shown in the attachment.

The problem statement tells you C(x) is the cost of x gallons. That is, ...

  C(gallons) = dollars

Substituting the given values for gallons (8) and dollars (22), you have ...

  C(8) = 22

The solution set to the given inequality is

(-∞, -4) U (2,∞)

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

5(x – 2)(x + 4) > 0

First we solve for x, we replace the inequality sign by = sign

5(x – 2)(x + 4) = 0

Divide both sides by 5

(x – 2)(x + 4) = 0

Now we set each factor =0  and solve for x

x-2 =0 , so x= 2

x+4 =0, so x= -4

Now we use number line and make three intervals

First interval -infinity to -4

second interval -4 to 2

third interval 2 to infinity

Now we check each interval with our inequality

First interval -infinity to -4, pick a number in this interval and check with our inequality. lets pick -5

5(-5 – 2)(-5 + 4) > 0

35>0 is true

second interval -4 to 2, pick a number in this interval and check with our inequality. lets pick 0

5(0– 2)(0 + 4) > 0

-40>0 is false

Third interval 2 to infinity, pick a number in this interval and check with our inequality. lets pick 3

5(3 – 2)(3 + 4) > 0

35>0 is true

solution set are the intervals that make the inequalities true

(-∞, -4) U (2,∞)

To learn more about the inequality from the given link

https://brainly.com/question/25275758

#SPJ4

Question:

What is the solution set to the inequality 5(x – 2)(x + 4) > 0?

Answer:

One: x =  3/32

Two: y =  3/10

Step-by-step explanation:

One

y = k*x

1/4 = k* 1/8                    Multiply both sides by 8

8(1/4) = 8*k*(1/8)

8/4 = k

k = 2

=======================

3/16 = 2*x                      Divide by 2

3/32 = x

Two

y = 2/5

x = 1/3

2/5 = k * 1/3                   Multiply both sides by 5

2 = 5*k * 1/3

2 = 5/3 * k                     Multiply both sides by 3

6 = 5 * k                        Divide both sides by 5

6/5 = k

y = 6/5 * x

x = 1/4

y = 6/5 * 1/4

y = 6/20 = 3/10

The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.

A variable that indicates a quantity being altered in an experiment is known as an independent variable. In equations, x is frequently used to denote the independent variable. A variable that indicates a quantity being altered in an experiment is known as an independent variable. Values that fluctuate in relation to one another are independent and dependent variables in mathematics.

Given.

The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.

In other words, the number of values that can change in a statistical calculation is referred to as the degree of freedom.

To learn more about independent variable, visit:

https://brainly.com/question/17344045

#SPJ4

The first summation, ∑(n choose 2k), where k ranges from 0 to ⌊2n⌋, represents the sum of binomial coefficients taken from the binomial expansion of (1 + 1)ⁿ. It calculates the sum of all even-indexed terms in the expansion.

The second summation, ∑(n choose 2k+1), where k ranges from 0 to ⌊2n−1⌋, represents the sum of binomial coefficients taken from the binomial expansion of (1 + 1)ⁿ. It calculates the sum of all odd-indexed terms in the expansion.

The binomial expansion of (1 + 1)ⁿ is given by the formula: (n choose 0) + (n choose 1) + (n choose 2) + ... + (n choose n)

In this expansion, the term (n choose k) represents the number of ways to choose k items from a set of n distinct items, also known as binomial coefficients.

In the first summation, ∑(n choose 2k), we are summing the binomial coefficients with even indices. This means we are considering the terms with even powers of 1 and adding them up.

Similarly, in the second summation, ∑(n choose 2k+1), we are summing the binomial coefficients with odd indices. This means we are considering the terms with odd powers of 1 and adding them up.

These summations can be used in various mathematical and combinatorial problems, such as counting arrangements, subsets, or probabilities. They provide a way to calculate the sums of specific subsets of terms in the binomial expansion, allowing for efficient calculations without expanding the entire expression.

Learn more about binomial here: brainly.com/question/30339327

#SPJ11

Answer:

x=-9

Step-by-step explanation:

2x-6=x-15

2x=x-9

x=-9

Answer:

2x-6=-9-15

Step-by-step explanation:

2x=x-9

x=-9

Answer: 4

Step-by-step explanation:

u+3=7

u=7-3

u=4

Answer:

Yes! C=10+35h is correct!

Step-by-step explanation:

Yes, equation is correct!

$10 is fixed one time fee.$35 is hourly pay.

So, if she needs tutor for 'h' hours, the variable cost is $35h

So, total cost C =10+35h

The solution for the system is (0,3) as line a meets the y-axis at (0, -3) and the Intersection point of a and b is (3,0). This makes it obvious that the solution for x will be 0 when the solution for y is 3

Given that the number graph ranges from negative eight to eight on the x-axis and negative eight to eight on the y-axis.

Two lines that are perpendicular to each other intersect at (three, zero). The line with a positive slope is labeled a, and the line with a negative slope is labeled b.

The system is given byx – y = 3 (line a)x + y = 3 (line b)We know that both the lines a and b pass through (3,0).

Let's first find the points of intersection of the line a with the x-axis and the y-axis.

To find the point of intersection of the line a with the x-axis, put y = 0 in the equation x - y = 3x - 0 = 3x = 3So, the point of intersection of line a with the x-axis is (3,0).

To find the point of intersection of the line a with the y-axis, put x = 0 in the equation x - y = 3 0 - y = 3y = -3So, the point of intersection of line a with the y-axis is (0,-3).

Similarly, let's find the points of intersection of the line b with the x-axis and the y-axis.

To find the point of intersection of the line b with the x-axis, put y = 0 in the equation x + y = 3x + 0 = 3x = -3So, the point of intersection of line b with the x-axis is (-3,0).

To find the point of intersection of the line b with the y-axis, put x = 0 in the equation x + y = 3 0 + y = 3y = 3So, the point of intersection of line b with the y-axis is (0,3).

Now, we can plot the graph of the two lines a and b and then find the points of intersection as follows:

Therefore, the solution for the system is (0,3) as line a meets the y-axis at (0, -3) and the intersection point of a and b is (3,0). This makes it obvious that the solution for x will be 0 when the solution for y is 3.

Hence, the answer is (0, 3).Option B. (0, 3)

For more questions on Intersection .

https://brainly.com/question/30429663

#SPJ8

Answer:

If 1 gallon = 16 cups, then 4 gallons = 64 cups. (16 x 4)

So if there are 4 gallons of water, then there are 64 cups. If 1 cup of water evaporates a minute then it will take 64 minutes for all the water to be gone.  

Answer: 64 minutes

OR

Answer: An hour and 4 minutes

Step-by-step explanation:

Answer: We on da same question i do not know

Step-by-step explanation:

Expected rate of return = 94.3%

Inflation rate is the rate of increase of prices of goods with the time being. It is also called devaluation of money. Risk free rate of return is an investment where possibility of risk is zero.

given, real risk-free rate = 2.5% = 0.025

the future rate of inflation = 2.8% = 0.028

nominal risk-free rate = (1 + real risk-free rate) / (1 + inflation rate)

nominal risk-free rate = (1+ 0.025) / (1 + 0.028) = 0.9971

now, rate of return = [(1 + nominal risk-free rate) / (1 + inflation rate)] - 1

 rate of return expected = [(1 + 0.9971) / (1 + 0.028)] - 1

                                      = 0.943

expected rate of return = 94.3 %

To learn more about inflation rate visit:

https://brainly.com/question/20715492

#SPJ1

Separated Variable Equation: Example: Solve the separated variable equation: dy/dx = x/y To solve this equation, we can separate the variables by moving all the terms involving y to one side.

A mathematical function, whose values are given by a scalar potential or vector potential The electric potential, in the context of electrodynamics, is formally described by both a scalar electrostatic potential and a magnetic vector potential The class of functions known as harmonic functions, which are the topic of study in potential theory.

From this equation, we can see that 1/λ is an eigenvalue of A⁻¹ with the same eigenvector x Therefore, if λ is an eigenvalue of A with eigenvector x, then 1/λ is an eigenvalue of A⁻¹ with the same eigenvector x.

These examples illustrate the process of solving equations with separable variables by separating the variables and then integrating each side with respect to their respective variables.

To know more about equation:- https://brainly.com/question/29657983

#SPJ11

Answer:

7 and 27

Step-by-step explanation:

We can make an equation for this, it looks like this:

6+3x+x=34

Simple algebra can be used to solve this (x is the smaller number)

1. 6+3x+x=34

2. 6+4x=34 Combine like terms

3. 4x=28 Simplify

4. x=7 simplify

Now that we have the smaller number we can use a portion of the original equation to solve with x=7.

1. 6+3x

2. 6+3(7)

3. 6+21

4. 27

So the smaller number is 7, and the larger number is 27.

A ternary string is a string composed of characters 0, 1, and 2. The number of ternary strings that contain exactly n characters, each of which is one of three types, is 3^n.Exactly 5 0s, 5 1s, and 5 2s are required for the ternary string, which means that the total number of characters is 15.

Each of these characters can be one of three types (0, 1, or 2). As a result, the total number of possible strings is 3^15. This is equivalent to 14,348,907. We arrived at this conclusion by computing 3 to the fifteenth power.Explanation:When constructing a sequence of three symbols, the first symbol has three alternatives, the second symbol has three alternatives, and so on. There are n choices for each of the n characters, resulting in a total of 3^n possible sequences.Example 1:Let's assume we have to create 5-character sequences with three symbols: a, b, and c. There are 3*3*3*3*3 = 243 possible sequences since there are three choices for each symbol.Example 2:Let's assume we have to construct a 10-character sequence using three symbols: 0, 1, and 2. There are 3*3*3*3*3*3*3*3*3*3 = 59,049, a total of 59,049 possible 10-character sequences. We can perform the same calculation for 15-character strings using the same logic.

To know more about ternary string, visit:

https://brainly.com/question/30733275

#SPJ11

True. Regression analysis involves analyzing the relationship between two variables, typically by using all available data points.

Ignoring certain data points, such as the highest and lowest volume data points, can skew the results and lead to inaccurate conclusions. Therefore, it is important to use all available data points in regression analysis to ensure that the relationship between the variables is accurately represented.

True: Regression analysis uses all data points, not just the highest and lowest volume data points. It is a statistical method for analyzing the relationship between a dependent variable and one or more independent variables. By including all data points, regression analysis can identify patterns and trends, providing a more accurate representation of the data. This allows for better predictions and insights into the relationships between variables. Excluding some data points, such as only using the highest and lowest volume data points, would limit the analysis and potentially lead to inaccurate results.

Learn more about Regression at: brainly.com/question/31735997

#SPJ11

Answer:

Yes it is a function. It passes the vertical line test. In other words, it is impossible to draw a single vertical line through more than one point on the V shaped graph. Any input leads to exactly one output.

The domain is the set of all real numbers. This is because we can plug in any x value leading to some specific y value. There are no holes or gaps or jumps to indicate we must restrict any given x value. The domain would not be the set of whole numbers only because values between the whole numbers (eg: decimal values like x = 2.75) work just fine.

The range is the set of y values such that y is either 0 or larger than 0. In short, the range is . Notice how any point on the V shaped graph has a y coordinate that is either 0 or larger than 0. It is impossible to get a y value that is negative.

Step-by-step explanation:

Given:

Price change of four companies \(\dfrac{5}{8},-0.25,-\dfrac{1}{8}\text{ and }1.5\).

To find:

Smallest price change of the four companies.

Solution:

We have price change of four companies as \(\dfrac{5}{8},-0.25,-\dfrac{1}{8}\text{ and }1.5\).

Here negative sign represents the decrease in stock market price.

Price change can either positive or negative. So, we need to find the absolute value of each price change.

\(\left|\dfrac{5}{8}\right|=0.625\)

\(|-0.25|=0.25\)

\(\left|-\dfrac{1}{8}\right|=0.125\)

\(|1.5|=1.5\)

Arrange these values in increasing order.

\(0.125<0.25<0.625<1.5\)

Now,

Price changes in ascending order is

\(-\dfrac{1}{8},-0.25,\dfrac{5}{8},\text{ and }1.5\)

Hence, -1/8 the smallest price change of the four companies.

Answer:

\(4,060\)

Step-by-step explanation:

\(\binom{30}{3}=\boxed{4060}\)

There are 30 teachers for the principal to choose from initially. After the principal chooses one, there will be 29, 28, 27, and so on.

Since the principal is only choosing 3, there are \(30\cdot 29\cdot 28=24,360\) permutations. However, the order of which the principal chooses the teachers does not matter. In other words, without loss of generality, let the name of three of the teachers be Adam, Bernie, and Carla. Regardless of whether the principal chooses Adam then Bernie then Carla or Carla then Adam then Bernie, etcetera, the same three teachers are still being chosen.

Thus, we must divide by the number of ways you can rearrange three distinct teachers, which is \(3!\).

Therefore, the desired answer is \(\frac{24360}{3!}=\frac{24360}{6}=\boxed{4,060}\)

Answer:

407 pounds of food for 11 tigers

Step-by-step explanation:

We know

74 pounds of food is needed to feed two tigers.

74 / 2 = 37 pounds of food

So, each tiger needs 37 pounds of food.

How many pounds of food are needed to feed 11 tigers?

37 x 11 = 407 pounds of food

So, 407 pounds of food are needed to feed 11 tigers.

Answer:

407 pounds of food for 11 tigers

Step-by-step explanation:

The unit rate would be 37 pounds of food per tiger.

37 x 11 = 407

Helping in the name of Jesus.

Mean of the sampling distribution is 24 and sampling distribution standard deviation is 0.98.

A data set's mean is calculated by summing all the numbers in the set and dividing the result by the total number of values in the set.

The standard deviation is a measurement of how far away from the mean each measured result is.

Given that mean of the collected data is 24 pounds.

Also the standard deviation is given as 7.4 pounds.

Mean of the sampling distribution is same as the mean of the data,

Mean of the sampling distribution = 24

Standard deviation of the sampling distribution is given by the formula,

Sampling distribution standard deviation  = (Standard deviation of data)/\(\sqrt{n}\)

where n is the number of data in sample. Given that n = 57.

Sampling distribution standard deviation  = \(\frac{7.4}{\sqrt{57} }\)

Sampling distribution standard deviation  = 0.98

To learn more about mean and standard deviation visit the below link,

https://brainly.com/question/28225633

#SPJ4

Answer:63.75 :)

Step-by-step explanation:

Answer:

$63.75

Step-by-step explanation:

85 x 75/100

85/1 x 3/4

255/4 - > $63.75

- You should already know how to do this yourself as this is very easy and basic question.