If f(x) = x² – 1, and
g(x) = x + 2, then
f(g(x)) = [? ]x²+[ ]x + []

The Probability that no person is next to their partner is 104/105.

Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).

Permutations is defined as arrangement of elements/objects in a particular way.

According to the question ,

8 people can be arranged in 8! ways = 40320ways

First let us find the probability that person is next to their partner.

4 couples can be arranged in 4! ways

and the couple itself can be arranged in 2! ways

Since there are 4 couples ,

Number of arrangement = [tex]4!(2!)^{4}[/tex]

=24x16

=384 ways

Probability that person is next to their partner = [tex]\frac{384}{40320} =\frac{1}{105}[/tex]

and the probability that no person is next to their partner is [tex]1-\frac{1}{105} =\frac{104}{105}[/tex].

Therefore , the probability that no person is next to their partner is [tex]\frac{104}{105}[/tex].

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Answer: r=d/t

Step-by-step explanation:

d=rt

d/t=rt/t

r=d/t

Answer:

[tex]r=\frac{d}{t}[/tex]

Step-by-step explanation:

[tex]d=rt[/tex]

Divide both sides by [tex]t[/tex]:

[tex]\frac{d}{t}=r[/tex]

[tex]r=\frac{d}{t}[/tex]

If the population of pine bluff is 654 and is increasing at the rate of 7 per year, then the equation will be y=654+7x and the population after 3 years will be 675.

Given that the population of pine bluff is 654 and is increasing at the rate of 7 per year.

We are required to find the equation which shows the population and the population after 3 years.

Equation is basically the relationship between two or more variables that are expressed in equal to form and can be solved to find the value of variables. It may be linear equation, quadratic equation, cubic equation and many more depending on the power of the variables that are present in the equation.

Suppose the number of years be x.

The equation which shows the population after x months be:

y=654+7x

To find the population after 3 years, we can use x=3 in the equation.

y=654+7*3

y=654+21

y=675

Hence if the population of pine bluff is 654 and is increasing at the rate of 7 per year, then the equation will be y=654+7x and the population after 3 years will be 675.

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Answer:

15

Step-by-step explanation:

[tex]-10+\left|6+\left(-17\right)\right|-\left(-14\right)[/tex]
[tex]=-10+\left|6-17\right|+14[/tex]
Subtract.
[tex]=-10+\left|-11\right|+14[/tex]
Now, add.
[tex]=4+\left|-11\right|[/tex]
Apply absolute rule.
[tex]=4+11[/tex]
= 15

To amend the U.S. Constitution, 4 of the 50 states must approve the amendment. The Constitution cannot be amended if 35 states approve an amendment.

Constitution is the basic principles and the laws of a nation, state, or social group that determine the powers and duties of the government and guarantee certain rights to the people in it.

We need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be amended, & that is represented like this:

35/50 >= 3/4

that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify fractions to compare easily:

35/50 >= 3/4

7/10 >= 3/4

now we need to find the least common multiplier of 10 and 4 to take fractions to a common denominator and compare easy.

Lets multiply the numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:

7/10 >= 3/4

(2/2)(7/10) >= (5/5)(3/4)

2*7/2*10 >= 5*3/5*4

14/20 >= 15/20

we can see that inequality does not hold, so,

35/50 >= 3/4

does not hold either.

Therefore, the Constitution cannot be amended.

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πr2 is an example of a (D) model.

Therefore, πr2 is an example of a (D) model.

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The complete question is given below:

Mia uses the formula πr2 to find the area of a circle. What is πr2 an example of?

A. a robot

B. a car

C. a telescope

D. a model

Answer:

3.04 g/mL

Step-by-step explanation:

density = mass/volume

density = 66.8 g / 22.0 mL

density = 3.04 g/mL

The cost of one sandwich is $5.7

The given parameters are:

Order = 3

Tax = 8% off

Total cost = $20.66

Tip = $5

The cost of one sandwich is calculated as:

Total cost = Order * Cost of One (x) * (1 - tax) + Tip

This gives

20.66 = 3 * x * (1 - 8%) + 5

Subtract 5 from both sides

15.66 = 3 * x * (1 - 8%)

Make x the subject

x = 15.66/[3 * (1 - 8%)]

Evaluate

x = 5.7

Hence, the cost of one sandwich is $5.7

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The value of the expression |x-1| if x>1 without using absolute value notation is x-1.

The Absolute value of any number may be defined as the distance of the given number on a number line from the point of origin. The absolute value of any number x is given by |x|. The absolute value of any number will always give a positive value regardless of the sign of the number.

For example, the absolute value of |-2| is given by 2 and the absolute value of |2| is also given by 2. Here, in the question it is given that x>1.

=> x>1

=> x-1>0

Thus, if x-1>0 then the absolute value of the expression |x-1| is given by x-1 as x-1>0.

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The correct way to write 602,200,000,000,000,000,000,000 in scientific notation is 6.022 [tex]*[/tex] [tex]$$10^{23[/tex].

Scientific notation is a method of expressing numbers that are either too large or too small to be written in decimal form. In the United Kingdom, it is known as scientific form, standard index form, or standard form.

The proper scientific notation format is [tex]a*10^b[/tex], where an is a number or decimal number with an absolute value greater than or equal to one and less than ten, or 1 |a| 10. b is the power of ten required for scientific notation to be mathematically equivalent to the original number.

In the scientific notation, the number is written as a multiplication of a number from 1 to 9 and 10 raised to the adequate power.

602,200,000,000,000,000,000,000

= 6.202 [tex]*[/tex] 100,000,000,000,000,000,000,000.

Since 10 = [tex]10^1[/tex]; 100 = [tex]$$10^2[/tex]; 1,000 = [tex]$$10^3[/tex], etc. then

100,000,000,000,000,000,000,000 = [tex]$$10^{23[/tex].

602,200,000,000,000,000,000,000

= 6.202 [tex]*[/tex] 100,000,000,000,000,000,000,000 = 6.022 [tex]*[/tex] [tex]$$10^{23[/tex].

The correct way to write 602,200,000,000,000,000,000,000 in scientific notation is 6.022 [tex]*[/tex] [tex]$$10^{23[/tex].

Therefore, the correct answer is option d) 6.022 [tex]*[/tex] [tex]$$10^{23[/tex].

The complete question is:

Which is the correct way to write 602,200,000,000,000,000,000,000 in scientific notation?

a) 6022 [tex]*[/tex] [tex]$$10^{19[/tex]

b) 6022 [tex]*[/tex] [tex]$$10^{20[/tex]

c) 6.022 [tex]*[/tex] [tex]$$10^{22[/tex]

d) 6.022 [tex]*[/tex] [tex]$$10^{23[/tex]

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Answer: D

Explanation: 6.022 x 10^23

Answer:

Answer:

47%

Step-by-step explanation:

Percentage of success = 94/200 * 100

= 94/2

= 47%

[tex]x^2 + 12x=-33 \\ \\ x^2 + 12x+36=3 \\ \\ \boxed{(x+6)^2=3} \\ \\ x+6=\pm \sqrt{3} \\ \\ \boxed{x=-6 \pm \sqrt{3}}[/tex]

The probability of a red light be on this road so that neither road would be preferred over the other on the basis of expected number of red lights is 0.3375.

What is Probability:

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Math's to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.

Now,

PDF of a Binomial (n, x) distribution is

given as

p(X=x).[tex]C^n_x P^x (1-p)^(n-x)[/tex]    x =  0,1,2,

Here n = 9, 2:4, p = 0.3

P(x-4)= 9^c_4(0.3)^4 (0.75)^5 = 0·1715 Ans

R Code

We will use the function pGnom() which gives the Cumulative probability of an

Probability  of getting exactly 4 heads is

x <- pGnom (4,9, 0.3) - pGnom (3,9, 0.3)

(We substract 3 to get P(X = 4) since above we have P(X<4) - P(X ≤3)

b)

Expected number in a binomial distribution = np

We  have to equate the Expected values

So

9x0.3 = 8xp

os, p = 0.3375.

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Answer:

Likely

11/12 aka 0.916666666667 aka 91.67%

Step-by-step explanation:

24 - 2 = 22

22/24

11/12

Likely means more than 50% but not 100% in this case.

Length of line segment AD = 22 units .

Given : ABCD is a kite

           AB and BC are congruent

           AD and CD are congruent

            AB = 14 units

            CD = 22 units

To find :  length of line segment AD

When 2 sides of a triangle are congruent , they are equal in measure ie. their magnitude is equal .

Since , AB and BC are congruent

⇒ AB = BC = 14 units

Similarly , CD = AD = 22 units

Therefore , length of line segment AD = 22 units .

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Answer: c on edge

Step-by-step explanation:

  ΔRc = - 1.806  are the changes in the resistances (in ohms) corresponding to a tensile strain of 0.064.

What are examples of resistance?

GF  = ΔR/R /E

a)  Tensile strain E = 0.064

  so    ΔR   =  R . E  . G.F

                  = 100 × 0.064 × 2.10

       ΔRt = 13.44

b)  Compressive strain E = - 0. 0086

     ΔR =  R . E . G.F.

          = 100 ×  - 0.0086 × 2.10

     ΔRc = - 1.806

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A recent survey that was quoted to support the news that the number of trees in the united states is increasing is a self-interest study.

From the additional research, it was found that a logging company fully funded the survey. Self-interest studies are referred to as action that stimulates personal benefits, it helps the sponsor enjoy economic or other gains from the outcomes. A logging company that fells trees and timber so, they are more interested in the number of trees, even they have an interest in directing the people of a country that depleted numbers of trees are not being by their efforts in logging. So performing such kind of survey is own self-interest.

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The proposition with three variable p, q and r are as -

C = (p∧q∧¬r)∨(p∧¬q∧r)∨(¬p∧q∧r)

A proposition is defined as a statement that expresses an idea, suggestion, or plan. A proposition is the notion that death penalty is an effective way to reduce crime.

Now, as per the given question-

Because these propositions have become mutually exclusive, C is true if and only if one of the three is true (and false otherwise).

This is only possible if two of p,q, & r are true while the third is false.For instance,  (p∧q∧¬r)  is true once p and q are true but r is false.

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Information security and ethics is defined as an all encompassing term that refers to all activities needed to secure information and systems that support it in order to facilitate its ethical use

ETHICS:

Derived from the Greek word “ethos”, which means “way of living”, ethics is a branch of philosophy that is concerned with human conduct, more specifically the behaviour of individuals in society. Ethics examines the rational justification for our moral judgments; it studies what is morally right or wrong, just or unjust.

In a broader sense, ethics reflects on human beings and their interaction with nature and with other humans, on freedom, on responsibility and on justice. It can be said that in general, ethics is concerned with human independence when it focuses on the relationship that exists between humans and the world

This independence is the primary condition in ethical decision-making and in any objective analysis of the facts. Individuals demonstrate independence when, in a decision-making process, they choose to free themselves as much as possible from their conditioning. Insofar as this operation assumes a degree of lucidity that allows us to judge objectively and to decide what direction to take, it will be understood that making ethical decisions is difficult.

SECURITY:

Security for information technology (IT) refers to the methods, tools and personnel used to defend an organization's digital assets. The goal of IT security is to protect these assets, devices and services from being disrupted, stolen or exploited by unauthorized users, otherwise known as threat actors. These threats can be external or internal and malicious or accidental in both origin and nature.

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365 is your answer...

Answer: y=4

Step-by-step explanation:

If the line is perpendicular to the y - axis and goes through the point (3,4) then it's just y=4

Answer:

Step-by-step explanation:

-2.2*3.4=-7.48

4.2/-6=-0.7

-18/5+3/10=-3.3

-11/4-19/6=-5.91

draw a real number line, sign these on the line, you can see the order

Answer:

Step-by-step explanation:

The original dimensions (length and width) of this rectangular piece of metal are 19.81 inches and 14.81 inches respectively.

Mathematically, the volume of a rectangular prism can be calculated by using this formula:

Volume = L × W × H

Where:

Given the following data:

Length, L = W + 5

Since squares of 1 in long are cut from the four corners, the length and width are reduced by 2 in. Also, the height of the box would be 1 inches.

Therefore, the volume of this rectangular box is given by:

456 = (L - 2) × (W - 2) × 2

456 = (W + 5 - 2) × (W - 2) × 2

456 = (W + 3) × (W - 2) × 2

228 = (W² - 2W + 3W - 6)

228 = W² + W - 6

W² + W - 6 - 228 = 0

W² + W - 234 = 0

Next, we would solve the quadratic equation by using the quadratic formula:

[tex]W = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\W = \frac{-1\; \pm \;\sqrt{1^2 - 4(1)(-234)}}{2 \times 1}\\\\W = \frac{-1\; \pm \;\sqrt{1 + 936}}{2}\\\\W = \frac{-1\; \pm \;\sqrt{937}}{2}[/tex]

Width, W = 14.81 or -15.81

Since the width cannot be negative, the value of W is equal to 14.81 inches.

For the length, we have:

Length, L = W + 5

Length, L = 14.81 + 5

Length, L = 19.81 inches.

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Answer:24

Step-by-step explanation:

71 + 25=96

96 divided by 4 equals 24

you have to add her profit and her expenses to see how much she needed to sell