Is negative eight a irrational number

When r is close to 0, there is either a weak linear relationship between x and y or no linear relationship between x and y.

When the correlation coefficient (r) is close to 0, it means there is either a weak linear relationship or no linear relationship between the two variables (x and y).

The correlation coefficient ranges from -1 to 1, with -1 indicating a perfect negative linear relationship, 0 indicating no linear relationship, and 1 indicating a perfect positive linear relationship.

So, when r is close to 0, it suggests that there is either a weak linear relationship or no linear relationship between the variables.

To know more about linear relationship, here

https://brainly.com/question/29685213

#SPJ4

The function of the temperature is H = 20cos(2π/12t) + 57

The temperature oscillates between 37°F at 6am and 77°F at 6pm,

So we can use the average of these two temperatures as the "midline" or "average" temperature (C).

The average temperature, C = (37+77)/2 = 57

The amplitude of the oscillation is half the difference between the maximum and minimum temperatures,

Amplitude, K = (77-37)/2 = 20

The period of the oscillation is the time it takes for the temperature to repeat, which is 24 hours.

i.e. T = 24

The angular frequency B is given by:

B= 2π/T

So we have B = 2π/24 = π/12

Finally, we can substitute these values into the formula H = Kcos(Bt) + C

H = 20cos(2π/12t) + 57

Read more about function at

https://brainly.com/question/3872584

#SPJ1

Here we will have to use the set theory to understand where intersection and union can be used to obtain the results.

a)

Here we need to write an expression for the event that at least one of the events A, B, and C occurs. Hence the event will be of occurrence of

A or B or C

We know that or implies a union of sets hence it will be

(A U B U C)

b)

Here we need to find the occurrence at most one of the events hence we get

[not A and not B and not C]  or [A and not B and not C] or [not A and B and not C] or [not A and not B and C]

the word and implies an intersection hence we get

[not A ∩ not B ∩ not C] U [A ∩ not B ∩ not C] or [not A ∩ B ∩ not C] U [not A ∩ not B ∩ C]

c)

None of the event occurs will imply

[not A ∩ not B ∩ noy C]

d)

This will simply be the opposite of c) hence we will get

A ∩ B ∩ C

e)

Here we will just remove the possibility of non-occurrence of any event from option b) to get

[A ∩ not B ∩ not C] U [not A ∩ B ∩ not C] U [not A ∩ not B ∩ C]

f)

Here we will get

A ∩ B ∩ not C

g)

Here there will be 2 possibilities A occurs and does not occur.

[A ∩ B ∩ C] U [not A ∩ not B ∩ C]

To learn more about Set Theory visit

https://brainly.com/question/28278437

#SPJ4

Answer:

A ten-bit sequence can have one 1 and nine 0s. There are 10 positions for the 1 to be placed in, such as:

1000000000

0100000000

0010000000

0001000000

0000100000

0000010000

0000001000

0000000010

0000000001

So there are 10 different ten-bit sequences containing a single 1 are possible.

y√y i.e Option (B) is  equivalent to the expression below when y> 0.

Equivalent means that two things have the same value, meaning, or measure. For example, 2 + 2 and 4 + 0 are equivalent equations because both equal 4. Another example is 1/2 and 0.5, which are equivalent because they are both equal to one-half.Equivalent in mathematics refers to two expressions that have the same value or the same outcome when evaluated.

Equivalent means having the same value, measure, or effect as something else. For example, two dollars is equivalent to two euros.

Let's start with the expression:

√[tex]y^{3}[/tex]+√[tex]16y^{3}[/tex]-[tex]4y[/tex]√[tex]y[/tex]

where y > 0. (this allow us to have y inside a square root, so we don't mess with complex numbers).

We want to find the equivalent expression to this one.

Here, we can do the next two simplifications:

√[tex]16y^{3}[/tex] = √[tex]16[/tex] √[tex]y^{3}[/tex] = [tex]4[/tex]√[tex]y^{3}[/tex]

And

[tex]y[/tex]√[tex]y[/tex] = √[tex](y^{2}. y)[/tex]= √[tex]y^{3}[/tex]

If we apply these two to our initial expression, we can rewrite it as:

√[tex]y^{3}[/tex]+√[tex]16y^{3}[/tex]-[tex]4y[/tex]√[tex]y[/tex]

√[tex]y^{3}[/tex] + [tex]4[/tex]√[tex]y^{3}[/tex]-[tex]4[/tex]√[tex]y^{3}[/tex] = √[tex]y^{3}[/tex]=[tex]y[/tex]√[tex]y[/tex]

Therefore, Option (B) is correct.

To learn more about  equivalent visit:

brainly.com/question/2972832

#SPJ1

There are 20 possible routes that a man could take to go between cities and then take a different route back.

In mathematics, a permutation of a set is, broadly speaking, the rearranging of its elements if the set is already sorted, or the arrangement of its members into a sequence or linear order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context.

Let the number of roads between the cities A and B = 5.

The rules of permutation must be used in this situation.

A permutation is an arrangement of all or a portion of a collection of items that takes into account the arrangement's order.

The man uses five different routes to get from A to B because there are five different routes accessible.

He can get back by 4 (5 1) methods because he needs to take a different route.

Therefore, there are 20 possible routes that a man could take to go between cities and then take a different route back.

To learn more about permutation refer to:

https://brainly.com/question/1216161

#SPJ1

The ordered pair that Cam identified is given as follows:

(8,4).

The general format of an ordered pair is given as follows:

(x,y).

For the x-coordinate, we have that:

The point in this problem was 8 units right, hence the x-coordinate is given as follows:

x = 8.

For the y-coordinate, we have that:

The point in this problem is 4 units above the origin, hence the y-coordinate is given as follows:

y = 4.

More can be learned about ordered pairs at https://brainly.com/question/1528681

#SPJ1

The probability that the mean profit for the sample was between -2.9 million and 4.5 million is of:

0.0475 = 4.75%.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters for this problem are given as follows:

[tex]\mu = 6.54, \sigma = 10.45, n = 73, s = \frac{10.45}{\sqrt{73}} = 1.22[/tex]

The probability that the mean profit for the sample was between -2.9 million and 4.5 million is the p-value of Z when X = 4.5 subtracted by the p-value of Z when X = -2.9, hence:

X = 4.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (4.5 - 6.54)/1.22

Z = -1.67

Z = -1.67 has a p-value of 0.0475.

X = -2.9:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (-2.9 - 6.54)/1.22

Z = -7.73

Z = -7.73 has a p-value of 0.

Hence:

0.0475 - 0 = 0.0475 = 4.75%.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

Answer:

x = 23

Step-by-step explanation:

let's square both sides. that eliminates the individual square roots and creates one central term with square roots :

2x + 3 + x + 2 - 2 sqrt(2x + 3)×sqrt(x + 2) = 4

3x + 5 - 2×sqrt((2x + 3)(x + 2)) = 4

3x + 1 - 2×sqrt(2x² + 4x + 3x + 6) = 0

3x + 1 - 2×sqrt(2x² + 7x + 6) = 0

3x + 1 = 2×sqrt(2x² + 7x + 6)

now let's square both sides again

9x² + 6x + 1 = 4(2x² + 7x + 6) = 8x² + 28x + 24

x² - 22x - 23 = 0

a quadratic equation

ax²x+ bx + c = 0

has 2 solutions

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = (22 ± sqrt((-22)² - 4×1×-23))/(2×1) =

= (22 ± sqrt(484 + 92))/2 =

= (22 ± sqrt(576))/2 = (22 ± 24)/2 =

= 11 ± 12

x1 = 11 + 12 = 23

x2 = 11 - 12 = -1

since we squared twice in the process, and every solution to a square is a ±sqrt (so, 2 solutions with alternating signs), we need to try both solutions in the original equation to see which ones really fulfill it.

sqrt(2×23 + 3) - sqrt(23 + 2) = 2

sqrt(46 + 3) - sqrt(25) = 2

sqrt(49) - 5 = 2

7 - 5 = 2

correct, x = 23 is a valid solution.

sqrt(2×-1 + 3) - sqrt(-1 + 2) = 2

sqrt(-2 + 3) - sqrt(1) = 2

sqrt(1) - 1 = 2

1 - 1 = 2

wrong. so, x = -1 is not a valid solution to the original equation.

Answer:

1.This function is linear.

2.This function is linear.

3.This function is nonlinear.

The 98 percent confidence interval for the population of all students using the classroom who write their name on their USB drive is B) 0.4 ± 1.967 (0.4)(0.6) / √300.

The sample proportion (p-hat) of students who write their name on their USB drive is 0.4, based on 180 out of 300 students. The sample size is large enough (n > 30) to use the normal approximation to the binomial distribution to calculate the confidence interval.

The standard error of the sample proportion is (p(1-p)/n)^0.5, where p is the population proportion and n is the sample size.

The confidence interval is calculated by adding and subtracting the critical value (1.967 for a 98 percent confidence level) multiplied by the standard error from the sample proportion. This interval provides an estimate of the true population proportion with 98 percent confidence.

For more questions like Confidence interval click the link below:

https://brainly.com/question/24131141

#SPJ4

Profit sharing, project bonuses, stock options, warrants, scheduled bonuses (like Christmas and performance-linked), and increased paid vacation time are a few examples of financial incentives.

Financial incentives are used to financially commend employees for doing a great job. Cash or presents having a clear monetary value are examples of monetary rewards and incentives that employers give to their staff.

In addition to employee benefits, leadership and human resources departments offer and create financial incentive programmed to reward employee achievement and motivate team members to surpass their objectives.

Unlike non-monetary incentives, these perks and advantages are provided to employees in addition to their base pay and other benefits.

Therefore, these monetary incentives can take the form of lifestyle budgets, profit-sharing, end-of-year bonuses, spot bonuses, stock options, and end-of-year bonuses.

Learn more about monetary Incentives here:

https://brainly.com/question/1068495

#SPJ1

The function is negative, and for values of x closer to -2, the function is increasing.

A function is a block of code that performs a specific task. It is a self-contained unit of code that can be reused throughout a program to perform a specific task. Functions accept inputs in the form of parameters, perform a set of operations and then return an output. They allow for a code to be written once and used multiple times, making it easier to read and maintain. Functions also help to organize code into smaller, manageable pieces, making it easier to track down bugs and other errors.

The graph of f(x) is negative and increasing for all real values of x where x < -2, since the graph is a downward-opening parabola with its vertex at x=-2. For values of x less than -2, the function is negative, and for values of x closer to -2, the function is increasing.

To learn more about function
https://brainly.com/question/11624077
#SPJ1

Answer:

They ordered 432 bottles of water

Step-by-step explanation:

1 multipack = 6 bottles

3 multipacks = 1 box

24 boxes = 24 (3 multipacks)

24 boxes = 72 multipacks

72 multipacks = 72 (6 bottles)

72 multipacks = 432 Bottles

Answer:

Below

Step-by-step explanation:

1.7 / 130  go/si

1000 si  * 1.7 /130 go/si = 13.08 gm of gold

10 go  /  ( 1.7/130 go/si) = 764.7 gm of  silver  

Answer: if Isaiah gets two thirds than he'll get 293.333333334 but if he gets one third than he will get 146.666666667

Step-by-step explanation:

The 2-category data is nominal. The 3-category data is also nominal. Each number in the set is analyzed as ratio.

The 2 categories- are 0-50 and 50-100, gives nominal data. Because we data has nothing to do with the values itself, it is the frequency.

Now for second scenario here, there are 3 categories, where it is basically low, medium and high, these are the frequencies, not the values itself. This will also be considered as nominal data.

Each number is set, it should be ordered in a set of number, and it is not what it includes denominal and it will be including the 0, which is absolute 0 point. Therefore, this will be considered as ratio.

To know more about the speed, here

brainly.com/question/13266118

#SPJ4

Answer:

[tex]-i^{2}[/tex] + 25

Step-by-step explanation:

(5-i)(5 + i)

25 + 5i - 5i - [tex]i^{2}[/tex]

25 [tex]-i^{2}[/tex]

The statement suggests that there is a proportional relationship between the number of selfies Sebastian takes, x, and the amount of storage (in megabytes) he uses taking selfies, y. This means that if we were to graph the number of selfies taken, x, on the x-axis and the amount of storage used, y, on the y-axis, the points would fall on a straight line and the slope of the line would be a constant.

In mathematical terms, we can represent this proportional relationship as y = kx, where k is the proportionality constant, or the constant of proportionality. This equation states that the amount of storage used, y, is directly proportional to the number of selfies taken, x.

Answer:5/3

Step-by-step explanation:

In the following intermediate step, cancel by a common factor of 2 gives 5/3

Answer:

[tex]1\dfrac{2}{3}[/tex]

Step-by-step explanation:

      Use KCF method:

       [tex]\dfrac{5}{6} \ \div \dfrac{1}{2}=\dfrac{5}{6}*\dfrac{2}{1}[/tex]

                   [tex]\sf = \dfrac{5}{3}\\\\= 1\dfrac{2}{3}[/tex]

Graph of the function y = 2x + 1 along with its parent function is attached below.

A function is defined as a relation between a set of inputs having one output each. Every function has a domain and co-domain or range. A function is generally denoted by f(x) where x is the input.

Given function,

y = 2x + 1

The parent function is the simplest form of the type of function given

Parent function is y = 2x

Shifting the graph of parent function vertically up 1 unit.

We get the graph of function y = 2x + 1

Hence, following is the graph of function y = 2x + 1 transformed from parent function y = 2x

Learn more about function here:

https://brainly.com/question/12431044

#SPJ1

Answer:

Step-by-step explanation:

10-11 = -1

20x4 = 80

72x12 = 864

124+1234 = 1358

y=3/4x-3 =

y=34x−3

Slope: 3434

y-intercept: (0,−3)

Answer:

y=1/4x+7

Step-by-step explanation:

If the y-intercept is (0,7), then the b is +7

the slope is 1/4 which is equal to m

your equation is y=1/4x+7

Let x represent the number of gallons of water added to the tank. The expression to represent the number of gallons of water needed to fill the tank is 34-x.

Let x represent the number of gallons of water added to the tank.

Total number of gallons that can filled in tank is total capacity of tank which is 34.

Now, x gallons of water is already filled in the tank.

Hence the tank needs to filled with the amount of water which is the difference of total capacity of tank and the gallons with which the tank is  already filled.

Number of gallons of water needed to fill the tank = Total capacity of tank - number of gallons of water added to the tank

Number of gallons of water needed to fill the tank = 34 - x.

The expression to represent the number of gallons of water needed to fill the tank is 34-x.

To know more about the capacity, here

brainly.com/question/39832

#SPJ4

The Probability that card will not have greater than 7 number is, 3/4

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

Given that,

The numbers are on the cards are, 5, 6, 7, 8

Favorable Outcomes = (5, 6, 7)

Total Outcomes = (5, 6, 7, 8)

Probability = 3/4

Hence, the probability is 3/4

To know more about Probability check:

https://brainly.com/question/30034780

#SPJ1

Between every brace of distinct points, there's a positive unique number called t which is the distance.

The positive number between every brace of distinct points is known as the distance and it can be set up as the absolute value of the difference between the corresponding real figures.

The distance represents the space between a brace of distinct points. This is called the distance hypothetical.

In order to find the distance, you would need to break for the absolute value of the difference between the real figures that are at the two points.

The Distance Postulate Given any brace of distinct points, there corresponds a unique positive real number called the distance between the two points.

Learn more about The Distance Postulate here :

https://brainly.com/question/29551333

#SPJ4

The end behavior of the polynomial 8x^{7}-2x^{5}-4x^{4}+2x^{3}+7x^{2}

is given in graph.

What are polynomials?

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable. An example of a polynomial with one variable is x^2+x-12. In this example, there are three terms: x^2, x and -12.

Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial.

Now,

Given polynomial is 8x^{7}-2x^{5}-4x^{4}+2x^{3}+7x^{2}.

So, the graph will be dominated by x^7 because it is the highest power.

Hence,

          the end behavior of the function is as shown in graph.

To know more about polynomials visit the link

https://brainly.com/question/11536910?referrer=searchResults

#SPJ1

Answer: is d

Step-by-step explanation:

Answer:

Temperature falls by - 9 degree Celsius

The first statement is false, the second is true, the third is true, and the fourth is false.

(a) False. A vector has infinitely many unit vectors parallel to it. A unit vector is a vector with magnitude 1 that points in the same direction as the original vector.

(b) True. The same segment/line can have many different parametrizations. A line/segment can be described by different equations, such as different parametric equations, and each of these equations represents the same line/segment.

(c) True. The sphere x² + y² + z² = 1 is a three-dimensional surface. The equation describes a set of points in three-dimensional space that are at a fixed distance of 1 from the origin.

(d) False. The magnitude of v + w is less than or equal to the magnitude of v and w. The magnitude of the sum of two vectors is equal to the distance between the tail of the first vector and the head of the second vector, which can never be greater than the magnitude of either vector.

In some cases, such as when the vectors are orthogonal, the magnitude of their sum will be equal to the magnitude of each vector.

To know more about parametric equations, here

https://brainly.com/question/28537985

#SPJ4