6x + 3x - x + 9 = 33

The probability that at least one fund out of 4,2170 funds outperforms the market in all 10 years is 0.99976 or 99.976%.

Probability measures the chance or likelihood of an event or outcome occurring out of many outcomes.

Probability shows how certain an outcome can happen.  

The formula for measuring probability is given by; P(E) = Number of Favourable Outcomes/Number of total outcomes.

The probability of at least an event out of many outcomes is 1 minus the probability of favorable outcomes.

The number of funds = 4,170

Expected successful outcome = 1

Probability of at least one successful outcome = 0.99976{1 - (1/4,170)}

Thus, the probability shows that there is a 0.99976 or 99.976% chance that one fund out of 4,170 funds will outperform the market in all 10 years.

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Answer:

A. Two squares with the same side lengths are always congruent.

Step-by-step explanation:

Congruence is a relation that shows similarity between the shape or size of two or more given figures. It can be determined by comparing the size of the angles or sides of the figures involved.

A square has equal length of sides, therefore two squares with the same side lengths are always congruent in all respect (shape and area). The statement in option a is TRUE.

The given inequality is

First, we need to isolate y

To do that we want to move 2y from the right side to the left side, then

To do that subtract 2y from 3y and subtract 2y from (2y + 3)

Since 3y - 2y = 1y

Since 2y - 2y = 0

Since 0 + 3 = 3

Then the answer is

The answer is B

A box can hold up to 15 items ensuring that every box contains the same quantity of items.

Given there are 10 rulers and 25 packages of tape.

Only one type of item may be present in each box.

Simply put, probability is the likelihood that something will occur.We can discuss the chance or likelihood of various outcomes when we don't know how an event will turn out. Statistics is the study of events that follow a probability distribution.The chance of an event happening is equal to 1 if there is no doubt about its likelihood. In other words, there is a 1 in the chance of an event. An event's probability is zero if there are no chances that it will occur.

In the event when 25 packages of tape and 10 rulers have to be placed in a box, the answer is 25 - 10 = 15.

then only 15 items that can be placed in a box so that each box has the same number of items.

Hence we get the desired result.

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Use \(\sec\theta = \dfrac{1}{\cos{\theta}}\)  to get

    \(\sec\theta -\cos{\theta}= \dfrac{1}{\cos{\theta}}-\cos(\theta})\)

Then find a common denominator:

    \(\dfrac{1}{\cos{\theta}}-\cos(\theta}) = \dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta}\)

But now make that one fraction:

    \(\dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta} = \dfrac{1 - \cos^2\theta}{\cos{\theta}}\)

But that's just sin^2 on the top

    \(\dfrac{1 - \cos^2\theta}{\cos{\theta}} = \dfrac{sin^2\theta}{\cos{\theta}} = \dfrac{sin\theta\cdot sin\theta}{\cos{\theta}}\)

Split that fraction up:

    \(=\dfrac{ sin\theta}{\cos{\theta}}\cdot sin\theta\)

And tan = sin/cos

    \(=\tan\theta\cdot sin\theta\)

Answer:

186 miles

Step-by-step explanation: 171.37-16.99 = 154.38

154.38/0.83 =186

Answer:

1.86

Step-by-step explanation

To find the possible values of k, we need to calculate the determinant of matrix D and set it equal to 1024.

Given matrix D:

D = | k 0 0 |

| 3 k² k³ |

| 0 kª k³ kº |

| k k k |

| 0 0 0 |

| k¹⁰ |

The determinant of D can be calculated by expanding along the first row or the first column. Let's expand along the first row:

det(D) = k(det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |)

- 0(det | 3 k² k³ |

| 0 kª k³ |

| k k k |)

+ 0(det | 3 k² k³ |

| k k k |

| k k k |)

Simplifying further, we have:

det(D) = k(det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |)

Now, we can calculate the determinant of the 3x3 submatrix:

det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |

This determinant can be found by expanding along the first row or the first column. Expanding along the first row gives us:

det = k(k³(kº) - 0(k)) - 0(0(k¹⁰)) = k⁴kº = k⁴+kº

Now, we can set det(D) equal to 1024 and solve for k:

k⁴+kº = 1024

Since we are looking for all possible values of k, we need to solve this equation for k. However, solving this equation may require numerical methods or approximations, as it is a quartic equation.

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The given statement is false because In programming, the break and continue statements serve different purposes and can be used independently or together within nested loops.

The break statement is used to exit the current loop prematurely. When encountered, it terminates the loop and continues with the next statement after the loop. This can be useful when a specific condition is met, and you want to stop the execution of the loop immediately.

The continue statement, on the other hand, is used to skip the current iteration of a loop and move on to the next iteration. It allows you to skip certain iterations based on a specific condition without terminating the entire loop.

Both break and continue statements can be used within nested loops. In such cases, the break statement will exit only the innermost loop it is placed in, while the continue statement will skip to the next iteration of the innermost loop.

By using break and continue strategically within nested loops, you can control the flow of execution based on specific conditions. This flexibility allows you to fine-tune the behavior of your program and optimize its efficiency.

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Note : This is a computer science question

The solution of this system is (x, y) = (- 6, 2).

The endpoints of line segment AB and its midpoint are described by algebraic expressions. The following relationship between the endpoints and the midpoint is shown by the following formula:

M(x, y) = 0.5 · A(x, y) + 0.5 · B(x, y)

(- 7 / 2, - 8) = 0.5 · (2 · x, y - 1) + 0.5 · (y + 3, 3 · x + 1)

(- 7 / 2, - 8) = (x, 0.5 · y - 0.5) + (0.5 · y + 1.5, 1.5 · x + 0.5)

(- 7 / 2, - 8) = (x + 0.5 · y + 1.5, 1.5 · x + 0.5 · y)

(x + 0.5 · y , 1.5 · x + 0.5 · y) = (- 5, - 8)

Which is equivalent to the following system of linear equations:

x + 0.5 · y = - 5

1.5 · x + 0.5 · y = - 8

The solution of this system is (x, y) = (- 6, 2).

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Thus,  the vector perpendicular to [4, -2, -3] can be represented as [2]s + [-2]t.

The statement about the vectors being perpendicular if x + y = 0 is incorrect.

Two vectors are called perpendicular if their dot product is 0, not their sum.

To find a vector perpendicular to [4, -2, -3], you can use the cross product, which is calculated as follows:

Let the perpendicular vector be [a, b, c] = [u]s + [v]t. We need to find the values of a, b, and c such that the dot product of [4, -2, -3] and [a, b, c] is 0:
4a - 2b - 3c = 0

Since you're looking for an answer in the form of [ ]s + [ ]t, we can represent the perpendicular vector as:
[a, b, c] = [u]s + [v]t

An example of a perpendicular vector to [4, -2, -3] is [2, -2, 4]. We can write this as:
[2, -2, 4] = [2]s + [-2]t

This means the vector perpendicular to [4, -2, -3] can be represented as [2]s + [-2]t.

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To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

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Answer:

The total amount of screws in the box is: 90+10 = 100.

The number of ways to select 10 screws from 100 is: N = (C100)^10.

The number of ways to select 10 screws from good ones is: m = (C90)^10.

Thus, the probability of taking 10 good screws is: P = m/N = ((C90)^10)/((C100)^10) = (90!*90!)/(80!*100!) ≈ 0.33

Step-by-step explanation:

Answer:

none of your options are right

Step-by-step explanation:

three : 3, less than : (-), seven : 7, times : (multiplication symbol), a number : (x)

the answer is : 3 - 7 (x)

                       : 3-7x

Hi there!  For this one, just set up an equation of what you know and don't know.

20 x __% = 15, I think you're asking.

20 x (n) = 15

Divide both sides by 20 to isolate n.  Go on from there!  If you need more help, just let me know.

The chi-square values for a sample size of n=10 at 95% confidence are 2.700 and 19.023, which corresponds to option (a).

1. Identify the degrees of freedom: Since the sample size is n=10, the degrees of freedom (df) will be n-1 = 9.
2. Look for the chi-square values corresponding to 95% confidence level: For a 95% confidence interval, we will look for the values corresponding to 2.5% (0.025) in the lower tail and 97.5% (0.975) in the upper tail of the chi-square distribution table.
3. Locate the values in the table: Using the table, find the chi-square values for df=9 and the specified tail probabilities.

Based on the chi-square distribution table, the values corresponding to df=9 at 95% confidence are:
a. 2.700 (for 0.025 tail probability) and 19.023 (for 0.975 tail probability).

So, the chi-square values for a sample size of n=10 at 95% confidence are 2.700 and 19.023, which corresponds to option (a).

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Vince walked 36km  on the 1st day of the trip

given that Vince went on a 3-day hiking trip. Each day, he walked 3/4 of the distance that he walked the day before. He walked 83.25 kilometers total during the trip and asked to find out How far did Vince walk on the 1st day of the trip

Total distance walked = 83.25km

Let's assume the distance walked by Vince on day 1 is "a"

Distance walked by Vince on 2nd day=\((\frac{3}{4} )\)a

Distance walked by Vince on 3rd day=\((\frac{3}{4}) ^{2}\)a

Total distance walked = 83.25km=a+a\((\frac{3}{4} )\)+a\((\frac{3}{4}) ^{2}\)

⇒a + 0.75a + 0.5625a = 83.25

⇒2.3125a = 83.25

⇒\(a=\frac{83.25}{2.3125}\)

⇒a=36km

Therefore, on day 1 Vince walked 36 kilometers

Hence, Vince walked 36km  on the 1st day of the trip

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There are 6 elements in set A, and the power set of A contains 2^6 = 64 subsets. Subtracting one from this gives us a total of 63 non-empty elements in the power set of A.

The power set of a set is the set of all possible subsets of that set, including the empty set and the set itself. In other words, for a set with n elements, its power set contains 2^n subsets.

So in our case, the set A has six elements: {11, 31, 41, 61, 71, 91}. Therefore, the number of subsets in the power set of A is 2^6, which equals 64.

However, the problem asks us to find the number of non-empty elements in the power set of A. So we need to subtract one from the total number of subsets (which includes the empty set) to get the number of non-empty subsets. That gives us 63, which is our final answer.

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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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Fred's pay for the specified week, with a rate of $11.25 for regular hours and time and a half for overtime, and number of hours worked of 48.5 hours is presented by completing the attached table as follows;

Rate: $11.25, regular hours: 40, overtime: N/A, total: $450

Rate: $16.875, regular hours: N/A, overtime: 8.5, total: $143.4375

Gross: $593.4375

A payment rate is the amount of payment or money that is received in a unit of time.

The amount Fred earns per hour = $11.25

The number of regular hours Fred works per week = 40

The rate at which he is paid for overtime = Time and a half

The number of hours Fred works in the specified week = 48.5 hours

Therefore, the amount Fred earns for working overtime = 1.5 × $11.25 = $16.875

The amount Fred earns for regular hours during the specified week = 40 × $11.25 = $450

The number of overtime hours Fred works for during the week = 48.5 - 40 = 8.5

The amount Fred earns for the overtime work = 8.5 × $16.875 = $143.4375

Fred's gross payment for the week is therefore; $450 + $143.4375 = $593.4375

The table can therefore be completed by plugging in the above values as follows;

Rate: $11.25, regular hours: 40, overtime: N/A, total: $450

Rate: $16.875, regular hours: N/A, overtime: 8.5, total: $143.4375

Gross: $593.4375

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The estimated distance a security guard walks per shift while patrolling the outside fence of intersecting runways at an airport depends on the perimeter length of the fencing.

To calculate the estimated distance the security guard walks, we need to determine the perimeter length of the outside fence surrounding the intersecting runways. The perimeter length can be calculated by summing up the lengths of all the sides of the fence.

Assuming the runways form a rectangular shape, we can use the formula for the perimeter of a rectangle: P = 2(L + W), where P is the perimeter, L is the length, and W is the width of the rectangle. If the runways are not rectangular and have irregular shapes, the perimeter can be determined by measuring each side and adding them together.

Once we have the perimeter length, we can multiply it by the number of times the security guard patrols the fence during a shift. For example, if the perimeter length is 1000 meters and the guard patrols the fence once per shift, the estimated distance walked per shift would be 1000 meters.

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Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

¿Cuanto tardara en tocar 10 campanadas?

Answer:

−8+32

Step-by-step explanation:

...................

Answer:

C. 162

Step-by-step explanation:

If you do 9 x 3 x 6... you will get 162

Hope this helps! stay safe

Answer:

162 m3

Step-by-step explanation:

9x3x6=162

Your welcome

Answer:

a/8 or a over 8 hope this helps

Step-by-step explanation:

Answer:

n

8

→

I used

n

as the unknown number

Explanation:

The quotient is the result of division between two numbers.

The quotient of a number (I used

n

) and

8

would be

n

8

Answer:

120

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Answer:

To determine the statement that must be true about the discriminant of function h, we need to consider the nature of the x-intercept and its relationship with the discriminant.

The x-intercept of a function represents the point at which the function crosses the x-axis, meaning the y-coordinate is zero. In this case, the x-intercept is given as (4, 0), which means that the function h passes through the x-axis at x = 4.

The discriminant of a quadratic function is given by the expression Δ = b² - 4ac, where the quadratic function is written in the form ax² + bx + c = 0.

Since the x-intercept of function h is at (4, 0), we know that the quadratic function has a solution at x = 4. This means that the discriminant, Δ, must be equal to zero.

Therefore, the correct statement about the discriminant D is:

C. D = 0

Answer:

C. D = 0

Step-by-step explanation:

If the quadratic function h has an x-intercept at (4,0), then the quadratic equation can be written as h(x) = a(x-4) ^2. The discriminant of a quadratic equation is given by the expression b^2 - 4ac. In this case, since the x-intercept is at (4,0), we know that h (4) = 0. Substituting this into the equation for h(x), we get 0 = a (4-4) ^2 = 0. This means that a = 0. Since a is zero, the discriminant of h(x) is also zero. Therefore, statement c. d = 0 must be true about d, the discriminant of function h.

Answer:

200

Step-by-step explanation:

10 × 20 = 200

have a good day

Answer:

38

Step-by-step explanation:

Count the unit squares for each side, starting from the left it's 7, 10, 7, 2, 2, 6, 2, and 2

Now add them together:

7 + 10 + 7 + 2 + 2 + 6 + 2 + 2 = 17 + 9 + 8 + 4 = 26 + 12 = 38

Answer: 38 units

Step-by-step explanation: Perimeter is asking for the total length of all the sides that make up a figure. The top border is 10 units, the two outer sides are 7 each (14 in total), if you add all the downward facing edges you get another 10 units, and the two inside sides are 2 units each (4 in total).

10+14+10+4 = 38