Which expression is equivalent to 9(15)?

9(10+5)
9 left parentheses 10 plus 5 right parentheses

9(10+50)
9 left parentheses 10 plus 50 right parentheses

9(1+5)
9 left parentheses 1 plus 5 right parentheses

9(1+50)

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: 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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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

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:

Step-by-step explanation:

[tex]1. \: \: - 2 \times - 3 = \\ = 6[/tex]

[tex]2. \: \: ( - 3 \times 4) \div ( - 8) = \\ = ( - 12) \div ( - 8)\\ = ( - 6 )\div ( - 4) \\ = ( - 3 )\div ( - 2 )\\ = 1.5[/tex]

[tex]3. \: \: ( - 2) \times ( - 3) \times ( - 4) = \\ = 6 \times ( - 4) \\ = - 24[/tex]

The money shared by Natasha and Trisha is $160.

Let the amount paid by the Natasha is 'x'

And the amount Paid by Trisha is 'y';

Their amounts are in the ratio of 5:3

Thus, x/y = 5/3

Trisha shares a amount of $120.

y = $12.

Then, put y = 120 in the ratio.

x/y = 5/3

x = 5y/3

x = (5×12)/3

x = 5×4

x = 40 (amount shared by Natasha)

Total amount  = Natash's share + Trisha's share

Total amount  = 40 + 120

Total amount  = 160

Thus, the total amount of money shared is $160.

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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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Step-by-step explanation:

10 yards is equal to 360 inches. If you divided 360 inches by 15 inches, the answer will be 24. So the answer is 24 mats.

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

From the analysis of the above math, the amount she invested in the CD account is 5,000. See the analysis below.

Let A be the amount invested in the CD.

Let B be the amount invested in the savings bond.

A + B = 15, 000

.04A + .07B = 900

Multiply the first equation by -.04 and add it to the second equation to get rid of the A term.

-.04A-.04B = -600  add this equation to the second equation.

.03B = 300  multiplying by 100.  3B = 30,000

dividing by 3 on both sides: B = 10,000.  So A = 5,000

So she invested 5,000 in the CD account

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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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Answer:

Hey there!

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls!

Follow me!

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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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:

Irrational

Step-by-step explanation:

It can not be square rooted, the closest squared number to 35 is 36. The square root of 36 is 6 as 6x6= 3.

Therefore it is irrational.

Answer:

see below

Step-by-step explanation:

sqrt35 is irrational since by the definition of rational: able to be expressed as a whole number or a fraction.

sqrt35 is approximatly 5.91607978. which is not able to be a whole number or a fraction

thus sqrt35 is irrational

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

The mass m in terms of K and v is expressed as m= 2K/v^2

The subject of formula is a way of representing a variable in terms of other variables.

Given the equation below;

K = 1/2mv^2

Make m the subject of the formula

2K = mv^2

2K/v^2 = mv^2/v^2

2K/v^2 = m

Swap

m= 2K/v^2

Hence the mass m in terms of K and v is expressed as m= 2K/v^2

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Answer:

15 units

Step-by-step explanation:

calculate  the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 10, 6 ) and (x₂, y₂ ) = (2, - 3 )

d = [tex]\sqrt{(2-(-10))^2+(-3-6)^2}[/tex]

  = [tex]\sqrt{(2+10)^2+(-9)^2}[/tex]

  = [tex]\sqrt{12^2+81}[/tex]

  = [tex]\sqrt{144+81}[/tex]

  = [tex]\sqrt{225}[/tex]

  = 15 units

Answer:

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

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

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

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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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:

it hard to tell what you are saying, but if we know what the other number is, then expression.

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:

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: 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:

-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