An Olympic-sized pool, which holds 660,000 gallons of water,
is only 63% full. The pool maintenance company adds more
water, filling the pool to 90% full. How many gallons of water
did they add?
P
7.AR 3.1
a
244 200
178 200
B) 594 000
415.800
134

As the size of the alphabet approaches infinity, the number of possible permutations also increases. Consequently, the probability of fixing no letter decreases.

The probability that a permutation fixes no letter can be calculated by dividing the number of permutations that fix no letter by the total number of possible permutations.

In a permutation, a letter is fixed if it remains in its original position. So, for a permutation to fix no letter, every letter must be moved from its original position.

The number of permutations that fix no letter is known as derangements, and it can be calculated using the formula:

\(D(n) = n!(1/0! - 1/1! + 1/2! - 1/3! + ... + (-1)^n/n!)\)

As the size of the alphabet approaches infinity, the number of possible permutations also increases. Consequently, the probability of fixing no letter decreases.

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The probability that a randomly chosen permutation fixes no letter is 0, and this probability approaches 0 as the size of the alphabet approaches infinity.

The probability that a randomly chosen permutation fixes no letter can be calculated by dividing the number of permutations that fix no letter by the total number of possible permutations.

Let's consider an alphabet with n letters. The number of permutations that fix no letter is 0, because any permutation will always fix at least one letter.

As the size of the alphabet approaches infinity (n→∞), the probability that a randomly chosen permutation fixes no letter also approaches 0. This is because with an infinite alphabet, there will always be an infinite number of permutations that fix at least one letter.

Intuitively, this makes sense because as the size of the alphabet increases, the likelihood of randomly choosing a permutation that fixes no letter becomes increasingly unlikely. With an infinite alphabet, it is essentially impossible to choose a permutation that fixes no letter.

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Repeated-measures design would require the smallest number of subject

Repeated-measures design: Repeated measures design is a research design that involves multiple measures of the same variable taken on the same or matched subjects either under different conditions or over two or more time periods. For instance, repeated measurements are collected in a longitudinal study in which change over time is assessed

given that, a researcher conducts an experiment comparing two treatment conditions and obtains 20 scores in each treatment

Repeated-measures design would require the smallest number of subjects

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An equation of the tangent line to the curve \(x e^y+y e^x=4\) at the point (0, 4) is \(y=-(4+e^4) x+4\).

A tangent is described as a line that intersects a circle or an ellipse only at one point. If a line touches a curve at P, the point "P" is known as the point of tangency.

Now according to the question;

To obtain the tangent at a given point, we must first obtain the slope at that point by obtaining the differentiation value at that point  \(\left.y^{\prime}\right|_{x=0, y=4}\) as-

Consider the given equation;

\(x e^y+y e^x=4\)

Differentiate both side with respect to x;

\(\begin{aligned}&\frac{d}{d x}\left(x e^y+y e^x\right)=\frac{d}{d x} 4 \\&\frac{d}{d x} x e^y+\frac{d}{d x} y e^x=0\end{aligned}\)

Now apply product rule;

\(\begin{aligned}&e^y \frac{d}{d x} x+x \frac{d}{d x} e^y+e^x \frac{d}{d x} y+y \frac{d}{d x} e^x=0 \\&e^y \frac{d}{d x} x+x \frac{d}{d y} e^y \cdot y^{\prime}+e^x y^{\prime}+y \frac{d}{d x} e^x=0\end{aligned}\)

Applying exponential and power rule;

\(\begin{aligned}&e^y \cdot 1+x e^y \cdot y^{\prime}+e^x y^{\prime}+y e^x=0 \\&\left(x e^y+e^x\right) y^{\prime}=-y e^x-e^y\end{aligned}\)

Solve the value of y'

\(y^{\prime}=\frac{-y e^x-e^y}{x e^y+e^x}\)

Now, find the value of slope m.

\(m=\left.y^{\prime}\right|_{x=0, y=4}\)

\(\frac{-4 \cdot e^0-e^4}{0 e^4+e^0}=-4-e^4\)

Now, using the point-slope formula, obtain the line equation as follows.

\(\begin{aligned}&\left(y-y_1\right)=m\left(x-x_1\right) \\&(y-4)=-(4+e^4) \cdot(x-0) \\&y=-(4+e^4) x+4\end{aligned}\)

Therefore, an equation of the tangent line to the curve is   \(y=-(4+e^4) x+4\).

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Step-by-step explanation:

Just plugging into the equation given

BC^2 = 30^2 + 21^2 - 2 (30)(21) cos 123

BC^2 = 900 + 441 + 1260 cos (123)

   BC = 45 units

The theater cannot earn any revenue at this price point.

a. Here's the completed table:

Ticket Price (dollars) Number of Tickets Sold Revenue (dollars)

5 200 1000

10 160 1600

15 120 1800

20 80 1600

30 40 1200

45 10 450

50 0 0

b. The theater will earn no revenue for a ticket price of $50, since no tickets are expected to be sold at that price point. This is because the predicted number of tickets sold decreases as ticket prices increase, and at a ticket price of $50, the predicted number of tickets sold drops to zero. Therefore, the theater cannot earn any revenue at this price point.

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Answer:I thinks substitution

Step-by-step explanation:I have the same question and it makes the most sense

Answer: Substituion method

Detailed Explanation:

Substitution method is used by finding the value of one variable in terms of the other, and then substituting that value in one of the equations, hence finding the original value of a variable. Then, we use that value of a variable and substitute it in any one of the equations to find the original value of the second variable.

Answer: 120-x

Step-by-step explanation:

So for how many grams of 25% syrup it will be 120-x because the some amount + x = 120 grams of 15% syrup

so 120-x = the some amount of syrup.

This will be the answer for the problem you were asking for

If you have 6 parts keep scrolling since I will supply some more answers

Next part: How much pure sugar is in the 25% syrup?

For the amount of pure sugar there is in the 25% syrup

that will equal 0.25(120-x) = 30-0.25x

Next: How much sugar is in 120 grams of 15% sugar syrup?

10% of 120 is 12

5% = 12/2 = 6

12+6 = 18

Now the earlier stuff from the problem will come in handy

use the previous answers to write an equation

0.25(120-x)+0.10x=18

= 30-0.25x+0.10x=18

30 -0.15x=18

Now the final part to solve the equation and find the 10% solution and the 25% solution

-0.15x=18-30 = -12

-0.15x=-12

x= -12/-0.15

x=80

the problems not done yet though

we need to find the 25% solution

25% solution = 120-x and x = 80

120-80 = 40

The 10% solution is 80 grams and the 25% solution is 40 grams

The slope of the line is -1.

Given is a line we need to find the slope,

The line passing through (0, 1) and (1, 0).

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by = y₂ - y₁ / x₂ - x₁

Here, (x₁, y₁) and (x₂, y₂) = (0, 1) and (1, 0)

So,

Slope = 0-1 / 1-0 = -1.

We know that,

The greater the slope, the greater the rate of change.

Hence the slope of the line is -1.

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The "correct" statement is that the odds ratio appears statistically significant when the whole 95% confidence interval is much less than 1.

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values a predetermined percentage of the time.

Thus, the "correct" statement is that the odds ratio appears statistically significant when the whole 95% confidence interval is much less than 1.

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The magnitude of the correlation coefficient indicate the "strength" about the variables.

In the financial and investing industries, correlation is a statistic which indicates the extent that two securities change in relation to one another.

Correlations are employed in advance portfolio management and are calculated as correlation coefficient, that must be between -1.0 and +1.0.

Some key features regrading correlation are-

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Answer:

I agree.

Step-by-step explanation:

Where I am, our parents had a choice, to chose whether they wanted us to go back to school or to do it online, and my grandma has me down for online, and I hate it so much.

The y-intercept in this model is 20, representing the fixed one-time registration fee for participating in the local bowling league.

In the given equation y = 15x + 20, where y represents the monthly fee and x represents an unspecified variable, the y-intercept can be identified by setting x = 0. When x = 0, the equation becomes y = 15(0) + 20, which simplifies to y = 20.

Interpreting the y-intercept, we can conclude that the y-intercept in this model is 20. This means that even without any additional factors or considerations (represented by the variable x), there is a fixed cost of $20 associated with participating in a local bowling league. This fixed cost, likely referred to as a one-time registration fee, is incurred at the beginning of joining the league and is not affected by any other factors such as the duration or specific features of the league.

Therefore, the y-intercept of 20 indicates the baseline cost or the starting point for the monthly fee in the bowling league model, reflecting the required one-time registration fee that participants need to pay.

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Answer:

Step-by-step explanation:

If x=10 and y=20 solve:

"x/y"

A.1/2

B.1

C.2

D.4

x/y =

10/20

1/2  is your answer

Answer:

It’s true

Step-by-step explanation:

Proof by induction

Let the four chosen numbers be x_1, … x_4 and, without loss of generality, let x_1 < x_2, … < x_4.

For x_1 = 1, the smallest possible choice, let x_2 = x_1 + 20 = 21 be the smallest possible choice that has a difference larger than 19. Likewise, x_3 = x_2 + 20 = x_1 + 40 = 41. Then x_4 has to be at least x_3 + 20 = x_1 + 60 = 61 which is out of range.

For the induction, suppose that x_4(n) = x_1(n) + 60 > 60 and therefore x_4(n) can’t be chosen for a given x_1(n). Then incrementing x_1(n+1) = x_1(n) + 1 would require x_4(n+1) to be at least x_1(n) + 1 + 60 = x_4(n) + 1 > 61, so this is out of range as well.

For another induction, suppose that x_4(n) = x_2(n) + 40 > 60 and therefore x_4(n) can’t be chosen for a given x_2(n). Then incrementing x_2(n+1) = x_2(n) + 1 would require x_4(n+1) to be at least x_2(n+1) + 40 = x_4(n) + 1 > 61, so this is out of range as well.

Likewise, for the induction, suppose that x_4(n) = x_3(n) + 20 > 60 and therefore x_4(n) can’t be chosen for a given x_3(n). Then incrementing x_3(n+1) = x_3(n) + 1 would require x_4(n+1) to be at least x_3(n+1) + 20 = x_4(n) + 1 > 61, so this is out of range as well.

Therefore all choices of x_1, x_2, x_3 with differences greater than 19 leaves no choice of x_4 within range with x_4 > x_3 + 19.

To find T((5, -4)), we can use the linearity property of linear transformations. First, we can express (5, -4) as a linear combination of the given basis vectors:(5, -4) = 5*(1, 2) + (-6)*(0, 1)

Since T is a linear transformation, we can apply it to each term separately:

T((5, -4)) = T(5*(1, 2) + (-6)*(0, 1))

Using the linearity property of T, we have:

T((5, -4)) = 5*T((1, 2)) + (-6)*T((0, 1))

From the given information, we know that T((1, 2)) = (2, 3) and T((0, 1)) = (1, 4). Substituting these values, we get:

T((5, -4)) = 5*(2, 3) + (-6)*(1, 4)

= (10, 15) + (-6, -24)

= (10 + (-6), 15 + (-24))

= (4, -9)

Therefore, T((5, -4)) is (4, -9). None of the options provided match this result, so the correct answer is not among the given choices.

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First, we need to draw the points on the plane to get a better idea of the problem, as shown below

We can obtain the distance between the points and then use the next formula

where a, b and c are the sides of the triangle.

In our case,

Then, the area is

Simplifying the expression,

Therefore,

Finally,

The area of the triangle is 18.5 square units, and the perimeter is

The perimeter is 20.3 units

Answer:

infinite

Step-by-step explanation:

the law in most states in the usa states there must be 3 letters and 3 numbers so there could be infinite

                            -hope this helps-

The distance Issa travelled from school to his house is 9.6 km.

The actual length covered by the body is defined as distance travelled, whereas displacement is the straight path between the initial and final points.

Here,

Let the total distance between school and home be 'x' meters.

Issa jogged two-thirds of x = 2x/3

So the total distance between school and home is = 2x/3 + 3200

However, the total distance from school to home = x

= 2x/3 + 3200 = x

= 3200 = x/3

= 9600 = x

As a result, the total distance from school to home is 9600 meters.

We're now converting it to kilometers.

We know that 1000 meters equals one kilometer.

9600 meters = 1/1000 x 9600

= 9.6 kilometers

Therefore the distance travelled will be 9.6 km.

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Answer:

25 is the geometric mean for two numbers

Answer:

x=18

Step-by-step explanation:

When a triangle has a midline the midline (in this case "3x-43") is 1/2 of the base of the triangle (in this case "4+x") so you can then say

4+x = 2(3x-43)

Solve that out to find that x = 18

a)The probability that at least 10 of the 15 randomly chosen individuals have no citations is 0.6723.  b) the probability that fewer than half of the 15 randomly chosen individuals have at least one citation is 0.3826. c) the probability that the number of individuals among 15 who have at least one citation is between 5 and 10, inclusive, is 0.7278.

Recall that in Exercise 30 (Section 3.3) the pmf of Y, the number of traffic citations for a randomly selected individual insured by a particular company, was given as follows:

Y=y 0 1 2 3 4 5

P(Y=y) 0.52 0.29 0.10 0.05 0.03 0.01

a. We can use the binomial distribution to model the number of individuals among 15 who have no citations, with the probability of success being P(Y=0)=0.52. Then, the probability of at least 10 individuals having no citations is:

P(X >= 10) = 1 - P(X < 10) = 1 - P(X <= 9)

Using a binomial table or calculator, we find that:

P(X <= 9) = 0.3277

Therefore,

P(X >= 10) = 1 - P(X <= 9) = 1 - 0.3277 = 0.6723

b. We can use the binomial distribution again to model the number of individuals among 15 who have at least one citation, with the probability of success being P(Y>0)=1-P(Y=0)=1-0.52=0.48. Then, the probability of fewer than half (less than 7) individuals having at least one citation is:

P(X < 7) = Σ P(X = k), where k = 0,1,...,6

Using a binomial table or calculator, we find that:

P(X < 7) = 0.6174

Therefore,

P(X >= 7) = 1 - P(X < 7) = 1 - 0.6174 = 0.3826

c. We need to find the probability that the number of individuals among 15 who have at least one citation is between 5 and 10, inclusive. We can use the binomial distribution with the probability of success being P(Y>0)=0.48. Then, the probability is:

P(5 <= X <= 10) = Σ P(X = k), where k = 5,6,...,10

Using a binomial table or calculator, we find that:

P(5 <= X <= 10) = 0.7278

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Your question is incomplete, but probably the complete question is :

Exercise 30 (Section 3.3) gave the pmf of Y, the number of traffic citations for a randomly selected individual insured by a particular company. What is the probability that among 15 randomly chosen such individuals

a. At least 10 have no citations?

b. Fewer than half have at least one citation?

c. The number that have at least one citation is between 5 and 10, inclusive?*

Answer:

x= -5    y= 6

Step-by-step explanation:

Answer:

y2

x3

-4

=x10

11

22

x10

y3

x14

In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

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Answer:

65

Step-by-step explanation:

You can write it as a ratio. 39:36. You then have x:60. You can divide 36 by 60 and then divide 39 by that number (0.6)

Answer:

65 words perminute

Step-by-step explanation:

36/ 36=1

39/36= 13/12=1  1/12

1  1/12 x 60=65

Answer: an hour and 40 minutes (100 minutes)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think is 75 persons 14 persons/ year

PREACH! BLM!!!! Trump is out and even tho he doesn't want to admit he lost, Biden won fair and square. If people support Trump than support him, but I tried to support him so many times trying to say positive stuff about him to make myself like him but it didn't work. Sorry but he about to lose his job fair and square.

Answer:

Ms. Brown would need 4 eggs in order to make 1 cake, so if she has 24 eggs you would divide 24 by 4, which is 6. So, Ms. Brown could make 6 cakes with 24 eggs.

Hope this helps!