If x represents a number, then write an expression
for the product of one more than the number with
one less than the number.

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.

Answer:

See explanation

Step-by-step explanation:

a. f(x)=|x|

b. |x|==> -|x|         ==> f(x) has been flipped over the y-axis.

-|x| ==> -2|x|        ==> Then, f(x) doubled by 2, scale factor of 2

-2|x| ==> -2|x|-3  ==> Finally, f(x) became g(x) when it translated 3 units down

c. Use the transformations in part b to graph

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

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:

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:

Hey there!

Step-by-step explanation:

This is ur answer....

Hope it helps!

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The difference between 6.761 x [tex]10^{12}[/tex] and 4.1 x [tex]10^{12}[/tex] is 2.661x [tex]10^{12}[/tex].

Minuend and subtrahend are the terminology used in subtraction, while difference refers to the result. The minuend is the first number; it's the number you take things from, and it has to be bigger than the other numbers. The number being subtracted is known as the subtractend, and it must be the lower number.

Given that 6.761 x [tex]10^{12}[/tex], 4.1 x [tex]10^{12}[/tex]

We need to find the subtraction value of these expressions

Now 6.761 x [tex]10^{12}[/tex] [tex]-[/tex] 4.1 x [tex]10^{12}[/tex]

    = 2.661x [tex]10^{12}[/tex]

Therefore, the difference between 6.761 x [tex]10^{12}[/tex] and 4.1 x [tex]10^{12}[/tex] is 2.661x [tex]10^{12}[/tex].

Hence, option (c) is correct.  

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Complete question

Find the difference of 6.761 x 10 ^12 and 4.1 x 10 ^12.

(a) 2.661 x 10 ^0

(b) 6.351 x 10 ^0

(c) 2.661 x 10 ^12

(d) 6.351 x 10 ^12

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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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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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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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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Answer:

47%

Step-by-step explanation:

Percentage of success = 94/200 * 100

= 94/2

= 47%

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

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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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: 18

Step-by-step explanation:

18

If Yasmin is the youngest of three siblings who ages are consecutive integers then Yasmin's age is 18, option B is correct.

Let's assume Yasmin's age is represented by the variable "Y".

Yasmin is the youngest, so her age is the smallest integer among the three siblings' ages.

Since their ages are consecutive integers, we can represent the ages of the three siblings as Y, Y+1, and Y+2.

According to the given information, the sum of their ages is 57.

So we can write the equation:

Y + (Y+1) + (Y+2) = 57

Now, let's solve for Y:

3Y + 3 = 57

Subtract 3 from both sides:

3Y = 54

Divide both sides by 3:

Y = 18

So, Yasmin's age (Y) is 18 years old. Option B is correct.

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Answer:

-18

Step-by-step explanation:

x=???

First, we know that the number we are looking for is divisible by 3. So lets list so numbers that are divisible by 3:

all (+,-) 6,9,12,15,18,........

Second, since we know the answer has to be in the double digits from the list we can have only 3 possibles answers.

12÷3=4
4-4=0

-12÷3=-4
-4-4=-8

So 12 nor -12 cant be the answer

18÷3=6
6-4=2

-18÷3=-6
-6-4=-10

So, the answer to the problem is -18÷3-4=-10

Answer:

f(-1) = |-1+4| - 5 = -2

f(0) = |0+4| -5 = -1

f(2) = |2+4| -5 = 1

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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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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Answer:

  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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The value of 11/3 + (-5/6) using the number line is 17/6.

Number line:

The number line is a visual representation of numbers on a straight line.

In a number line, Zero (0) is considered to be the origin of a number line. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers.

Given,

Here we have to add the values 11/3 + (-5/6) by using the number line.

To solve this one,

First we have to convert the fractions into decimals,

So, the decimal equivalent of

11/3 = 3.6

-5/6 = -0.8

So, the addition of these two is

=> (11/3) + (-5/6)

=> 3.6 + (-0.8)

=> 2.8

The fraction of the number is

=> 2.8 = 17/6.

This can be expressed in the following number line.

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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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Answer: The value of  X = 50°

Step-by-step explanation:

from diagram:

40° = 40°(vertically opposite angles)

40° + 90° + opposite side of X = 180 °(exterior angle property)

130° + opposite side of X = 180°(linear pair property)

opposite side of X = 180° - 130°

= 50°

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