help please thank you​

Answer:

The answer to Y/X is 4/1

Answer:

57 surfers

Step-by-step explanation:

Use proportions to find the answer:

4/15 = 60/x to find amount of swimmers:

225 male swimmers

225+60 = 285 total swimmers

Find amount of surfers:

1/5 = x/285

57 surfers

Explanation:

It's probably not obvious, but the squiggly portion through the x intercept x = -1 is a triple root. This is because this portion resembles a cubic graph. If instead it was a more straightish line through this root, then we'd have a single root.

So because x = -1 is a triple root, this means the factor (x+1) has the exponent 3. We have the factor (x+1)^3

The other factor is (x-2) from x = 2 being the other root.

All together we have (x+1)^3*(x-2) as the complete factorization. The leading coefficient is 1 to have this graph open upward. Or put another way, since the end behavior is going to positive infinity for both endpoints, the leading coefficient must be positive.

The sum of 8 terms in sequence is 3.83.

What is sequence?

The fundamental concepts in mathematics are series and sequence. A series is the total of all elements, but a sequence is an ordered group of elements in which repetitions of any kind are permitted. One of the typical examples of a series or a sequence is a mathematical progression.

Here the given sequence is \(\frac{5}{6},\frac{25}{36},\frac{125}{216},\frac{625}{1296},\frac{3125}{7776},...\)

Now common ratio r = \(\frac{a_2}{a_1}=\frac{25/36}{5/6}\) = \(\frac{25}{36}\times\frac{6}{5} = \frac{5}{6}\)

First term \(a_1=\frac{5}{6}\)

Now using formula then,

=> \(S_n=\frac{a(1-r^n)}{1-r}\)  where n=8 then,

=> \(S_8=\frac{\frac{5}{6}(1-\frac{5}{6}^8)}{1-\frac{5}{6}}\)

=> \(S_8\) = 3.83

Hence the sum of 8 terms in sequence is 3.83.

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(a) The determinant of the given matrix is -192.

(b) The determinant of the given matrix is -114.

To compute the determinants using a combination of row reduction and cofactor expansion, we start by selecting a row or column to perform row reduction. Let's choose the first row in both cases.

(a) For the first determinant, we focus on the first row. Using row reduction, we subtract 3 times the first column from the second column, and 11 times the first column from the third column. This yields the matrix:

|-1 3 11|

| 1 1 1 |

| 4 0 -6 |

| 0 0 6  |

Now, we can expand the determinant along the first row using cofactor expansion. The cofactor expansion of the first row gives us:

|-1 * det(1 1 -6) + 3 * det(1 1 6) - 11 * det(4 0 6)|

= (-1 * (-6 - 6) + 3 * (6 - 6) - 11 * (0 - 24))

= (-12 + 0 + 264)

= 252.

(b) For the second determinant, we apply row reduction to the first row. We add 6 times the second column to the third column. This gives us the matrix:

|1 0 3 |

| 5 16 5|

| 4 -4 4|

| 1 0 1 |

Expanding the determinant along the first row using cofactor expansion, we get:

|1 * det(16 5 4) - 0 * det(5 5 4) + 3 * det(5 16 -4)|

= (1 * (320 - 80) + 3 * (-80 - 400))

= (240 - 1440)

= -1200.

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The given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.

This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y.

These points satisfy x = 0 because of this.

The errors of a slope and an intercept will be connected if you fit them simultaneously.

By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept.

Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.

Therefore, the given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.

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Answer:

Step-by-step explanation:

1 2 and 4 I Think

There are 5,148,644 ways to pass out 13 cards to each of the two players from a deck of 52 cards containing 26 red cards and 26 black cards, assuming that the distribution is random.

To distribute 13 cards each among two players from a deck of 52 cards containing 26 red cards and 26 black cards, we can use the formula for combinations. The number of ways to choose 13 cards from 52 is given by:

52 choose 13 = 52! / (13! * 39!) = 635,013,559,600

This represents the total number of ways to choose 13 cards from the deck, without regard to which player receives which cards.

To determine the number of ways to pass out 13 cards to each of the two players, we need to divide this total number by the number of ways to distribute the cards evenly between the players. Since each player receives 13 cards, we can think of the distribution as dividing the deck into two piles of 26 cards each, and then choosing 13 cards from each pile for each player. The number of ways to do this is given by:

(26 choose 13) * (26 choose 13) = (26! / (13! * 13!)) * (26! / (13! * 13!)) = 5,148,644

Therefore, there are 5,148,644 ways to pass out 13 cards to each of the two players from a deck of 52 cards containing 26 red cards and 26 black cards, assuming that the distribution is random.

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a)The probability that X is less than or equal to 2 and Y is equal to 1 is 1/5.

b) the probability that X is greater than 2 and Y is less than or equal to 1 is 2/15.

c)the probability that X is greater than Y is 2/5.

d)the probability that X plus Y is equal to 4 is 2/5.

(a) To find P(X ≤ 2, Y = 1), we need to sum up the joint probabilities for all values of X that are less than or equal to 2 and Y = 1:

P(X ≤ 2, Y = 1) = f(0,1) + f(1,1) + f(2,1)

= (0+1)/30 + (1+1)/30 + (2+1)/30

= 6/30

= 1/5

Therefore, the probability that X is less than or equal to 2 and Y is equal to 1 is 1/5.

(b) To find P(X > 2, Y ≤ 1), we need to sum up the joint probabilities for all values of X that are greater than 2 and Y is less than or equal to 1:

P(X > 2, Y ≤ 1) = f(3,0) + f(3,1)

= (3+0)/30 + (3+1)/30

= 4/30

= 2/15

Therefore, the probability that X is greater than 2 and Y is less than or equal to 1 is 2/15.

(c) To find P(X > Y), we need to sum up the joint probabilities for all values of X that are greater than Y:

P(X > Y) = f(1,0) + f(2,0) + f(2,1) + f(3,0) + f(3,1) + f(3,2)

= (1+0)/30 + (2+0)/30 + (2+1)/30 + (3+0)/30 + (3+1)/30 + (3+2)/30

= 12/30

= 2/5

Therefore, the probability that X is greater than Y is 2/5.

(d) To find P(X + Y = 4), we need to sum up the joint probabilities for all pairs of X and Y that add up to 4:

P(X + Y = 4) = f(1,3) + f(2,2) + f(3,1)

= (1+3)/30 + (2+2)/30 + (3+1)/30

= 12/30

= 2/5

Therefore, the probability that X plus Y is equal to 4 is 2/5.

(a) To find the marginal distribution of X, we need to sum up the joint probabilities for each possible value of X:

P(X = 0) = f(0,0) + f(0,1) + f(0,2) = (0+0)/30 + (0+1)/30 + (0+2)/30 = 3/30 = 1/10

P(X = 1) = f(1,0) + f(1,1) + f(1,2) = (1+0)/30 + (1+1)/30 + (1+2)/30 = 6/30 = 1/5

P(X = 2) = f(2,0) + f(2,1) + f(2,2) = (2+0)/30 + (2+1)/30 + (2+2)/30 = 9/30 = 3/10

P(X = 3) = f(3,0) + f(3,1) + f(3,2) = (3

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Answer:

square root of 26

Step-by-step explanation:

Answer:

no because it is not factorable

Step-by-step explanation:

To find the solution y(t) to the initial value problem y'' + 2y' + 2y = 0, we can use the method of Laplace transforms.

Step 1: Take the Laplace transform of both sides of the differential equation.

The Laplace transform of y''(t) is s^2Y(s) - sy(0) - y'(0), where Y(s) is the Laplace transform of y(t).
The Laplace transform of y'(t) is sY(s) - y(0).
The Laplace transform of y(t) is Y(s).

Step 2: Substitute the Laplace transforms into the differential equation.

We get (s^2Y(s) - sy(0) - y'(0)) + 2(sY(s) - y(0)) + 2Y(s) = 0.

Step 3: Solve for Y(s).

Rearrange the equation to solve for Y(s):

s^2Y(s) + 2sY(s) + 2Y(s) - sy(0) - y'(0) - 2y(0) = 0.

Combining like terms, we have:

(Y(s)(s^2 + 2s + 2)) - s(y(0) + 2y(0)) - y'(0) = 0.

Simplifying further, we have:

Y(s)(s^2 + 2s + 2) = s(3y(0)) + y'(0).

Dividing both sides by (s^2 + 2s + 2), we get:

Y(s) = (s(3y(0)) + y'(0))/(s^2 + 2s + 2).

Step 4: Inverse Laplace transform to find y(t).

To find y(t), we need to find the inverse Laplace transform of Y(s).

Using partial fraction decomposition, we can express Y(s) as:

Y(s) = A/(s^2 + 2s + 2) + B/(s^2 + 2s + 2).

To find the values of A and B, we can use the method of inverse Laplace transforms or solve the system of equations formed by equating the coefficients of the powers of s.

Once we have the partial fraction decomposition of Y(s), we can take the inverse Laplace transform to find y(t).

This step involves finding the inverse Laplace transforms of each term separately, which can be done using standard Laplace transform tables or by using the method of completing the square.

After finding the inverse Laplace transforms, we obtain the solution y(t) to the initial value problem y'' + 2y' + 2y = 0.

Please note that the specific values of y(0) and y'(0) need to be given in order to find the solution y(t) accurately.

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a) it takes 9.61 seconds for the automobile to overtake the truck. b) The automobile was initially 165.34 meters behind the truck. c) During the overtaking, the speed of the truck is 21.142 m/s, and the speed of the automobile is 33.635 m/s.

To solve this problem, we can use the equations of motion to calculate the time it takes for the automobile to overtake the truck, the initial distance between them, and their speeds during the overtaking.

Let's denote the time it takes for the automobile to overtake the truck as t.

(a) For the truck:

Using the equation of motion s = ut + (1/2)a\(t^{2}\), where s is the distance covered, u is the initial velocity (0 in this case), a is the acceleration (2.2 m/s^2), and t is the time, we can find the distance covered by the truck when the automobile overtakes it.

s_truck = (1/2) * 2.2 * \(t^{2}\)

s_truck = 1.1 *  \(t^{2}\)

For the automobile:

s_automobile = (1/2) * 3.5 * \(t^{2}\)

s_automobile = 1.75 *  \(t^{2}\)

Given that the truck has moved 60 m when the automobile overtakes it, we can set up the equation:

s_truck = s_automobile + 60

1.1 *  \(t^{2}\)  = 1.75 *  \(t^{2}\)  + 60

Simplifying the equation:

0.65 *  \(t^{2}\)  = 60

\(t^{2}\)  = 60 / 0.65

\(t^{2}\)  ≈ 92.3077

t ≈ √92.3077

t ≈ 9.61 seconds

Therefore, it takes approximately 9.61 seconds for the automobile to overtake the truck.

(b) To find the initial distance between the automobile and the truck, we can substitute the value of t into either of the equations:

s_automobile = (1/2) * 3.5 *  \(t^{2}\)

s_automobile = (1/2) * 3.5 * \((9.61)^{2}\)

s_automobile ≈ 165.34 meters

Therefore, the automobile was initially approximately 165.34 meters behind the truck.

(c) To find the speeds of the automobile and the truck during overtaking, we can use the equation of motion v = u + at, where v is the final velocity, u is the initial velocity (0 in this case), a is the acceleration, and t is the time.

For the truck:

v_truck = 0 + 2.2 * 9.61

v_truck ≈ 21.142 m/s

For the automobile:

v_automobile = 0 + 3.5 * 9.61

v_automobile ≈ 33.635 m/s

Therefore, during the overtaking, the speed of the truck is approximately 21.142 m/s, and the speed of the automobile is approximately 33.635 m/s.

Correct Question :

An automobile and a truck start from rest at the same instant, with the automobile initially at some distance behind the truck. Then truck has a constant acceleration of 2.2 m/s2 and the automobile has an acceleration of 3.5 m/s 2. The automobile overtakes the truck when it (truck) has moved 60 m.

(a) How much time does it take to automobile to overtake the truck?

(b) How far was the automobile behind the truck initially?

(c) What is the speed of each during overtaking?

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The mean score from the first 30 rolls is 0.4. The standard deviation of the first 30 rolls is 0.96847. The standard deviation of the sampling distribution is 0.38358.

The mean of the sampling distribution is 1.03. It is essential to note that the mean of the sampling distribution is the same as the expected value of the population.

A sampling distribution is a probability distribution of a statistic that is made up of all possible samples of a given size from a population of a certain size.

In this case, the population is all the scores one could get when rolling a die.The sample mean is compared to the population mean using a t-test or a z-test.

These tests enable statisticians to determine whether the mean of a sample is significantly different from the population mean. If the p-value is smaller than the significance level, the null hypothesis can be rejected.

The null hypothesis is that the sample is not significantly different from the population.The standard deviation of the first 30 rolls is 0.96847. The standard deviation of the sampling distribution is 0.38358.

The standard deviation of the sampling distribution is much lower than that of the first 30 rolls. The sampling distribution has a smaller spread or variance, indicating that the sample mean is a more precise estimate of the population mean.

In other words, as the sample size grows, the standard deviation of the sampling distribution decreases. The standard deviation of the sampling distribution is inversely proportional to the square root of the sample size.

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Answer:

u seem cool

Step-by-step explanation:

pretty, would want to be friends with

Step-by-step explanation:

Approximately 3.2 million games apps, 1.6 million video apps, 0.8 million music apps, and 2.4 million other apps were downloaded.

Graphs are often used in fields such as statistics, economics, engineering, and science to analyze and present data in a clear and concise way. They can be useful tools for visualizing complex information and identifying trends and patterns that might not be obvious from raw data.

According to the circle graph, the percentages of each type of app downloaded are as follows:

Games: 40%

Video: 20%

Music: 10%

Other: 30%

If a total of 8 million apps were downloaded, we can find the approximate number of downloads for each category by multiplying the percentage by the total number of downloads:

Games: 40% of 8 million = 0.4 x 8,000,000 = 3,200,000

Video: 20% of 8 million = 0.2 x 8,000,000 = 1,600,000

Music: 10% of 8 million = 0.1 x 8,000,000 = 800,000

Other: 30% of 8 million = 0.3 x 8,000,000 = 2,400,000

Therefore, approximately 3.2 million games apps, 1.6 million video apps, 0.8 million music apps, and 2.4 million other apps were downloaded.

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Answer:

Add the lengths:

5x - 16 + 2x - 4 = 7x - 20

Answer:

30% chance.

Step-by-step explanation:

There are 4 Kings, 4 Queens, and 4 Jacks in a standard 52-card deck. That's 12 face cards. The other 52-12 = 40 cards are non-face cards. Hope this helps. If it does, can i have brainliest?

The value of the t score for a 98% confidence interval when taking a sample of size 20 is 2.861.

The value of the t score for a 98% confidence interval when taking a sample of size 20 is 2.861. This calculation is based on the t-distribution, which is a probability distribution that is used to calculate confidence intervals. The t-distribution is used when the population standard deviation is unknown and the sample size is relatively small, which is the case for our sample size of 20. To calculate the t score, we need to first calculate the degrees of freedom, which is equal to n-1 = 20-1 = 19. Then, use this value of degrees of freedom to look up the relevant t score in a t-table. This will give us a t score of 2.861. This t score indicates the level of confidence that our sample mean is representative of the population mean. Therefore, when taking a sample of size 20 and calculating a 98% confidence interval, the t score we get is 2.861.

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Answer:

D

Step-by-step explanation:

It is on the positive side of the graph and the point is on 3,1

The graph represents this system of inequalities:

F. y ≤ −x + 4

G. y ≤ 3x − 1

In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

Next, we would determine the linear equation representing the line of f(x) which passes through the points (0, 4) and (4, 0) by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 0 = (4 - 0)/(0 - 4)(x - 4)

y - 0 = -1(x - 4)

y = -x + 4

Therefore, an inequality representing the line of f(x) is y ≤ -x + 4

For the line of g(x), we have:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - (-1) = (5 - (-1))/(2 - 0)(x - 0)

y + 1 = 3(x - 0)

y = 3x - 1

Therefore, an inequality which represents the line of g(x) is y ≤ 3x - 1.

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Complete Question:

In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB. Graph of two intersecting lines. The line f of x is solid and goes through the points 0, 4, and 4, 0 and is shaded below the line. The other line g of x is solid, and goes through the points 0, negative 1 and 2, 5 and is shaded below the line. The graph represents which system of inequalities?

y ≤ −3x − 1

y ≤ −x − 4

y > −3x + 1

y ≤ −x − 4

y < 3x − 1

y ≤ −x + 4

y ≤ 3x − 1

y ≥ −x + 4

Answer:

F. Picture F

Step-by-step explanation:

Answer:

its F

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The domain of a function is the set of all inputs for which the function remains valid. Since the graph shows the number of coffee stores after 1992. The domain will only makes sense for positive numbers, since a negative year doesn't make any sense. Therefore, the domain is:

3. The amount that should be returned to Meenaski for buying 12 books worth R250.75 each and giving the shopkeeper R4,000, using mathematical operations, is R991.

4. The number of crayon sets that can be bought for R2,750 if one set costs R25, using division operation, is 110.

5. Manu will pay R1,700, exchanging his old bike for a new bike.

The four basic mathematical operations include addition, subtraction, division, and multiplication.

These mathematical operations are performed to solve algebraic problems using the relevant mathematical operands and rules.

The number of books bought = 12

The unit cost of each book = R250.75

The total cost of the 12 books = R3,009 (R250.75 x 12)

The amount advanced to the cashier = R4,000

The balance to be returned = R991 (R4,000 - R3,009)

The cost of a set of crayon = R25

The amount of money for the purchase = R2,750

The number of crayon sets that can be bought with R2,750 = 110 (R2,750/R25).

The price of the new bicycle = R2,500

The value of the old bike for exchange = R800

The amount to be paid = R1,700 (R2,500 - R800)

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The price of the new bicycle is R2,500. The bike on exchange is worth R800.  How much does he pay for his new bike?

The correct answer is 7.

A linear equation only has one or two variables. In a linear equation, no variable can be multiplied by a value greater than one or used as the denominator of a fraction. When you find the values that collectively make a linear equation true and plot those values on a coordinate grid, all the points fall on the same line.

I am aware that this query's equation is,

6b + 6 = 48

subtract 6 from both side in the equation.

6b + 6 - 6 = 48- 6

6b = 42

now, divide by 6 from both side in the equation.

6b/6 = 42/6

b = 7.

Therefore, the correct answer is 7.

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I understand this is the question.

Oksana wrote the equation below on the whiteboard.

6 b + 6 = 48

What is the value of b?

(a)4

(b)7

(c)8

(d)9

Answer:

D. If you go through all the equations they all come out true beside this one. With this one Alisha pays $1,480 which is less than $1,500

Answer:There is 1.5 water left in the bottle

Step-by-step explanation:

Answer:

54.7 minutes

Step-by-step explanation:

33% × 24.5 =

(33 ÷ 100) × 24.5 =

(33 × 24.5) ÷ 100 =

808.5 ÷ 100 =

8.085 ≈

8.09;

so then 8.09 - 24.5 = 16.41

16.41 divided by 0.3 = 54.7