What is the value of x?

The probability that there are 3 people between x and y is 1/659470.

The total number of ways in which x and y can stand in a line with 10 other people is (12C2) = 66.

To find the number of ways in which there are exactly 3 people between x and y, we can treat x and y as a single entity and arrange them along with the 10 other people in 8 available spots in the line. This can be done in (8C1) = 8 ways.

Within this arrangement, there are 3 spots where x and y can be placed with 3 people between them,

Once x and y have been placed in one of these 3 spots, the remaining people can be arranged in the remaining spots in

10!/(10-8)! = 1814400 ways.

So the number of ways in which there are exactly 3 people between x and y is,

8 * 3 * 1814400 = 43545600.

Therefore, the probability that there are 3 people between x and y is,

43545600/66 = 659469.69 (rounded to 2 decimal places)

So, the probability is approximately 1 in 659470 or 1/659470.

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Answer:

164 Cm^3

Step-by-step explanation:

Solution

V=

3

3

2

a

2

h

=

3

3

2

3

2

7

≈

163.6788

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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Answer:

Step-by-step explanation:

CD = ED --- (secant property)

so, ==>>

13x - 16 = 4x + 11

13x - 4x = 11 + 16

9x = 27

x = 27÷9

x = 3

side ED = 4x + 11 = 4×3 + 11

side ED = 23

side FE = 12

ΔFED = 90° ...... (tangent secant property)

so.........

FE² + ED² = FD² ......... ( by pythagoras theorm)

12² + 23² = FD²

144 + 529 = FD²

673 = FD²

√673 = FD

26 = FD

Answer:

26

Step-by-step explanation:

The function is in the form of linear equation in two variables where y is the cost and x are number of games played.

Linear equation in two variables is referred to a function that can be expressed in the form y = ax + b where a, b are constant values and x and y are variables. x is the independent variable and y is the dependent variable. Here we have the function y = 3.5x + 4 and the independent variable x is the number of games played and dependent variable y is the cost of the games that are played. Now in the equation the additional fee is represented by the constant value 3.5 and the fee for shoe is represented by the number 4 and is not dependent as the shoe rent fee is constant and not depends on number of games played.

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Answer:

c

Step-by-step explanation:

1/2= 0.5, 1/3= 0.33 ; 0.5+ 0.33= 0.83 or 0.8

clinical prediction is not the fairest way to combine assessment information about job applicants, but the other methods (unit weighting, rational weighting, and multiple regression) are more fair

Clinical prediction appears to have a serious shortcoming in terms of overall fairness for applicants because it is a subjective process of bringing information and hence clinical prediction is not the fairest way to combine assessment information about job applicants .

unit weighting is the simple method which add scores of each candidate at each level of assessment in order to arrive at a total score

Thus the other methods (unit weighting, rational weighting, and multiple regression) are more fair

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The gallons of gas required by Ryan to travel 286 miles is 13.2 gallons.

As the stated question;

Total gallon of gas used to drive the 260 miles = 12 gallons

Let 'x' be the gallon of gas used to drive the 286 miles.

Then, bu using the proportion

12 / 260 = x / 286

Thus,

x = 286 x 12 / 260

x = 13.2 gallons

Thus, the amount of gas required by Ryan to travel 286 miles is 13.2 gallons.

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Answers to both subparts are shown:

So, (A) fraction of the game Tim wins:

Then, the fraction will be:

(B) Games Tim wins in 30 games.

So, a number of games won:

Therefore, answers to both subparts are shown:

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The correct question is shown below:

(A) tim played 20 games of draughts he won 16 of those games.what fraction of the game did he win

b) he played 30 more games he had then 68% of all his games how amny of 30 games did he wi

Answer:

9

Step-by-step explanation:

most accurate answer if tax was added it would be about 10 added to the fee when u do the math so the answer is 9

Answer: C) $10 I think?

Step-by-step explanation:

Answer:

- 7/24

Step-by-step explanation:

Step 1:

3/8 = r + 2/3

Step 2:

9/24 = r + 16/24

Step 3:

9/24 - 16/24 = r

Answer:

- 7/24 = r

Hope This Helps :)

Answer:

-7/24

Step-by-step explanation:

Isolate the variable, r. Note the equal sign, what you do to one side, you do to the other.

Subtract 2/3 from both sides:

3/8 (-2/3) = r + 2/3 (-2/3)

3/8 - 2/3 = r

Simplify. First, find common denominators. Note that what you do to the denominator you do to the numerator.

(3/8) x (3/3) = (9/24)

(2/3) x (8/8) = (16/24)

Subtract:

(9/24) - (16/24) = -7/24

r = -7/24

~

Part A

Coordinates before dilation

A = (-2, 4)

B = (-2, 3)

C = (-4, 3)

Coordinates after dilation with a scale factor of 2

A' = (-4, 8)

B' = (-4, 6)

C' = (-8, 6)

Part B

Coordinates after a reflection over the y-axis

Coordinates of triangle ABC after a reflection over the y-axis by negating the x-axis.

A' = (2, -4)

B' = (2, -3)

C' = (4, -3)

Answer:

A.

Step-by-step explanation:

This property states that when three or more  are added (or multiplied), the sum (or the ) is the same regardless of the grouping of the  (or the multiplicands).

Answer: A

Step-by-step explanation:

It is important that our understanding and spreading of the gospel comes from the biblical text itself, and it is equal important that we continue to preach and defend the one true gospel. Jesus died and rose again for the forgiveness of our sins.

The word gospel occurs ninety-nine times in the NASB and ninety-two times in the NET Bible. In the Greek New Testament, the gospel is a translation of the Greek noun "good news" occurring 76 times and of the verb "to bring or announce good news" 54 times. Both words are derived from the noun angelos, "messenger". In classical Greek, euangelos is one who brings news of victory or other joyful political or personal news.

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There are 26,884,736 different license plate numbers available with exactly four characters per plate.

To calculate permutations of available license plate numbers with four characters, we need to consider the number of options for each character space and account for repetition.

Since each character space can be filled with any capital letter other than i, b, z, or o, or any number between 0 to 9, there are 26 options for each space.

Therefore, the total number of possibilities is obtained by multiplying the number of options for each space together:

\(26 * 26 * 26 * 26 = 26^4 = 456,976.\)

If the state required all license plates to have exactly five characters, the calculation would be similar. Each character space can still be filled with the same options, and now we have five spaces to consider.

Therefore, the total number of possibilities for five characters is:

\(26 * 26 * 26 * 26 * 26 = 26^5 \ = 11,881,376.\)

To find how many times bigger the set of license plate numbers with exactly five characters is compared to four characters,

We can divide the total possibilities for five characters by the total possibilities for four characters: 11,881,376 / 456,976 ≈ 26.

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Answer:

\(x=\dfrac{-(-1)\pm \sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}\)

Step-by-step explanation:

The quadratic equation is as follows :

\(7x^2=9+x\) ...(1)

The solution of a quadratic equation \(ax^2+bx+c=0\) is given by :

\(x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\)

Equation (1) can also be written as follows :

\(7x^2-9-x=0\\\\7x^2-x-9=0\)

Here, a = 7, b = -1 and c = -9

\(x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-(-1)+\sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}, \dfrac{-(-1)-\sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}\\\\x=1.20\ s, -1.06\ s\)

Neglecting negative value.

So, it will hit the ground in 1.2 s.

Answer:

D

Step-by-step explanation:

Edge 2021 hope this helps :)

Answer:

  you need to show the number is prime

Step-by-step explanation:

To show 2^7 -1 is prime, you have to show it is not divisible by any prime less than its square root. That root is approximately 2^(7/2) = 2^3×√2 ≈ 11.3.

The primes of in that range are 2, 3, 5, 7, 11. The prime we're testing is ...

  2^7 -1 = 128 -1 = 127

The sum of digits is 10, which is not a multiple of 3: not divisible by 3.

The units digit is 7, not 0 or 5: not divisible by 5.

The test for divisibility by 7 is to subtract twice the units digit from the rest of the number: 12 -2(7) = -2. This is not 0 or a multiple of 7, so 127 is not divisible by 7.

We know that 11² = 121, so 127 is not divisible by 11.

All of the tests for primality pass, so 2^7 -1 is a Mersenne prime.

_____

Additional comment

It is known that 2^n -1 being prime requires n to be prime. (The converse is not true: 2^11 -1 = 2047 = 23×89 is not prime.) The discovery of Mersenne primes is an ongoing process involving thousands of computers around the world. Only about 50 such primes are known.

You will notice that we have made use of some divisibility rules in order to simplify the process of dividing by small numbers. These can be helpful in many situations, so can be useful to learn.

The number of bacteria after the 13th day will be approximately 176.7.

The formula for exponential growth is \(y = y_0.e^{(kt)}.\)

The formula for exponential decay is \(y = y_0.e^{(-kt)}.\)

Given, y₀ = 500 grams, k = - 8% = - 0.08 and t = 13.

Therefore, After the 13th day, the number of bacteria will be,

\(y_{13} = 500.e^{-0.08\times13}\)

\(y_{13} = 500.e^{-1.04}\)

\(y_{13} = 500\times0.353\).

\(y_{13} = 176.7\) bacterias.

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Step-by-step explanation:

is there more to the question?

Answer:

Step-by-step explanation:

what we know=

x is the independent variable and y is the dependent variable.

our co-ordinates can be expressed in the form of (x value, y value).

so... we only need two points for this so let's just list two points so it goes faster

A(-7,5)

B(-1,65)

alright, now we have two points. we're trying to find the rate of change, which in other words, is the slope.

m=(y-y1)/(x-x1) <-- plug in our points.

m=(65-5)/(-1-(-7)

m=60/(-1+7)

m=60/6

m=10

therefore the rate of change aka the slope of this table of values is 10.

Answer:

y = 3x - 8

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define variables

Random pt (2, -2)

Slope m = 3

Step 2: Substitute known variables

y = 3x + b

Step 3: Find b

-2 = 3(2) + b

-2 = 6 + b

-8 = b

Step 4: Rewrite linear equation

y = 3x - 8

Answer:

y = 3x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3, thus

y = 3x + c ← is the partial equation

To find c substitute (2, - 2) into the partial equation

- 2 = 6 + c ⇒ c = - 2 - 6 = - 8

y = 3x - 8 ← equation of line

P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

To find the probability that at least 200 out of 210 college graduates under age 20 are employed, we can use the binomial distribution formula:
P(X ≥ 200) = 1 - P(X < 200)
where X is the number of employed college graduates under age 20 out of a sample of 210.
We know that the unemployment rate for college graduates under the age of 20 is 7%. Therefore, the probability of an individual college graduate being unemployed is 0.07.
To find the probability of X employed college graduates out of 210, we can use the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the sample size (210), k is the number of employed college graduates, and p is the probability of an individual college graduate being employed (1-0.07=0.93).
We want to find P(X < 200), which is the same as finding P(X ≤ 199). We can use the cumulative binomial distribution function on a calculator or software to find this probability:
P(X ≤ 199) = 0.000000000000000000000000000001004 (very small)
Therefore, P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

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Answer:

146

Step-by-step explanation:

The distance between the point P and the line is 3√(2/3) units.

Let's first find a point on the line and the direction vector of the line. The line is given in vector form as:

r(t) = ⟨-2, 4, 3⟩ + t⟨2, -1, 1⟩

A point on the line is ⟨-2, 4, 3⟩. The direction vector of the line is ⟨2, -1, 1⟩.

Now we want to find the distance between the point P = (1, 1, 0) and the line. We can use the formula for the distance between a point and a line in 3D:

d = |(P - Q) x d| / |d|

where Q is any point on the line, d is the direction vector of the line, and x denotes the cross product.

Let's choose Q = ⟨-2, 4, 3⟩. Then we have:

P - Q = ⟨1, 1, 0⟩ - ⟨-2, 4, 3⟩

= ⟨3, -3, -3⟩

Taking the cross product of (P - Q) and d, we get:

(P - Q) x d = ⟨3, -3, -3⟩ x ⟨2, -1, 1⟩

= ⟨0, -9, -9⟩

Taking the magnitude of d, we get:

|d| = √(2^2 + (-1)^2 + 1^2) = sqrt(6)

Putting everything into the formula for the distance, we get:

d = |(P - Q) x d| / |d|

= |⟨0, -9, -9⟩| / √(6)

= 3√(2/3)

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Answer:

Step-by-step explanation:

2x^3+x^2-8x-4

(2x+1)(x+2)(x-2)

Answer:

800/920

400/460

40/46

20/23