the numbers 1 through 25 are written on 25 cards with one number on each card. sara picks one of the 25 cards at random. what is the probability that the number on her card will be a multiple of 2 or 5? express your answer as a common fraction.

It should be noted that if you are operating in class e airspace at 9,500 feet MSL with a VFR-on-top clearance during the day, the required flight visibility and distance from clouds are listed as "3 statute miles 1,000 above 500 below and 2,000 horizontal."

The average forward horizontal distance of a flying aircraft from the cockpit at which prominent unlit objects can be seen and identified during the day and substantial lighted objects can be seen and identified during the night is known as flight visibility.

Visibility requirements exist the minimal visibility for flying.

According to Aviation Rules,

(a) According to aviation regulations, no person may operate an aircraft under visual flight rules (VFR) in restricted airspace when the ceiling is less than 1,000 feet unless flying vision is at least 2 miles.

b) No person shall work a helicopter under VFR at or below 1,200 feet above the ground or within the lateral boundaries of a specified Class B, C, D, or E airspace surface area of ​​an aerodrome unless there exists clear visibility. exists at least -

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The best way to solve this problem is to imagine the situation as follows: Suppose that each position (first, second and third) is a numbered box. (first is box number one, and so on).

Now, imagine that each student is a ball that is numbered from 1 up to 11.

The situation translates to calculate in how many different ways we can put a ball in each box, without putting 2 balls in each box. We have the following

To solve this, we will use the multiplication principle. This principle relays on multiplying the number of possibilites for each box. Consider the case in which we will fill the box number 1. We can choose any of the numbers, so we have 11 posibilites. Now, suppose that we chose one number for box 1, and now we want to fill box 2. Then, we will have 10 possibilites only, since we already picked one. In the same manner, to fill the third box we have 9 possibilities. So the total number of possibilites is the product of this three numbers. That is

Answer:

15/17

Step-by-step explanation:

SOH-CAH-TOA

Sine is the ratio of the length of the side opposite to the angle to the hypotenuse of the right triangle.

The derivatives of f(x) are:

f'(x) = 4x³ + 15x² - 10

f''(x) = 12x² + 30x

f''(-1) = -18

Here we want to find the derivatives of the polynomial function:

f(x) = x⁴ + 5x³ - 10x - 8

To differentiate it, just remember, the exponent is tranformed into a factor and the new exponent is 1 less than the previous one, then:

f'(x) = 4x³ + 3*5x² - 10

f'(x) = 4x³ + 15x² - 10

Now we differentiate again, and we use the same rule:

f''(x) = 3*4x² + 2*15x

f''(x) = 12x² + 30x

Now we want to evaluate it in x = -1

f''(-1) = 12*(-1)² + 30*-1 = -18

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Answer:

7+x this is the answer ok

Answer:

1 and a half  grains

Step-by-step explanation:

The remaining distance Jada has to bike is 19/10 km.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Jada biked for 3.5 kilometers before stopping to adjust the helmet.

d₁ = 3/5 kilometer

Jada bikes another 1/2 kilometer and stopped to drink water.

d₂ = 1/2 kilometer

The total distance Jada has to bike is 3 kilometers.

The distance traveled by Jada is:

= d₁ + d₂

= 3/5 km + 1/2 km

Using LCM,

= ( 6 + 5 ) / 10

= 11/10 km

The distance remaining to cover is :

- 3 km - 11/10 km

= ( 30 - 11 ) / 10 km

= 19/10 km

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The assumed truth for this statement is that x, y, and z are integers and x does not divide z.

We have to given that,

For any integers x, y and z,

And, if x ∤ zx ∤ z,

Then, x ∤ yx ∤ y or x ∤ (y z)x ∤(y z).

Hence, Assuming x, y, and z are integers and x does not divide z, the statement is: if x does not divide z, then x does not divide y or x does not divide yz.

Thus, The assumed truth for this statement is that x, y, and z are integers and x does not divide z.

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Applying the root test to the series ∑n=1[infinity]an, where an=(5n−8)2n(3n 4)2n, reveals that the series converges.

To determine the convergence of the series using the root test, we need to consider the limit of the absolute value of the nth root of the general term, as n approaches infinity. In this case, the general term is an=(5n−8)2n(3n 4)2n. Taking the nth root and absolute value, we have:

lim┬(n→∞)⁡〖|an|^(1/n) 〗= lim┬(n→∞)⁡〖|(5n−8)^(2n(3n 4)2n) 〗^(1/n) 〗

Simplifying the expression inside the limit:

|(5n−8)^(2n(3n 4)2n) 〗^(1/n) = |5n−8|^(2(3n 4)) = (5n−8)^(6n-8)

Now, as n approaches infinity, the base (5n−8) grows infinitely large, and since the exponent (6n-8) is also positive, the limit of the expression becomes infinity.

Therefore, lim┬(n→∞)⁡〖|an|^(1/n) 〗= ∞.

Since the limit is greater than 1, according to the root test, the series ∑n=1[infinity]an diverges.

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Answer:

D: (2,0) and (0,-4)

Step-by-step explanation:

The solutions to the graphs are where the 2 seperate graphs intersect with each other

1. No, the two triangles are not identical.

2. Yes, the two triangles are identical.

How can two triangles be the same?

If two triangles satisfy one of the following conditions, they are congruent: The three corresponding side pairings are all equal. The comparable angles between two pairs of corresponding sides are equal. The corresponding sides between two pairs of corresponding angles are equal.

This is demonstrated by noticing that a triangle's three angles must sum to 180 degrees.

For the first triangle, the angles are 95°, 70°, and 40°, which add up to 205°.

For the second triangle, the angles are 70°, 40°, and 70°, which add up to 180°.

Since the two triangles' angles differ, the triangles themselves must also be unique.

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Answer:

x/8 + 9 =5

Step-by-step explanation:

Quotient is division and I decided to use x as my number so the first part is x/8. Then you do the nine more because more is addition to whatever is after it in our case it is x/8 so now you have x/8 + 9. Then it says equals 5 so the equation is x/8 + 9 = 5

I hope this helps!

The density function is given as rho(x, y, z) = 12 - z. We need to integrate this density function over the volume of the cone to find the mass.

The limits of z are given as 1 ≤ z ≤ 3, which means the cone extends from z = 1 to z = 3.

The volume of a cone can be calculated using the formula \(V = (1/3)\pi r^2h\), where r is the radius of the base and h is the height of the cone.

In this case, the cone is defined by the equation \(z = x^2 + y^2\), which represents a cone with its vertex at the origin. The radius of the base is determined by the equation \(r = \sqrt{x^2 + y^2}\), and the height of the cone is h = 3 - 1 = 2.

To find the mass, we integrate the density function rho(x, y, z) = 12 - z over the volume of the cone. The integral becomes:

M = ∭ rho(x, y, z) dV,

where dV represents the infinitesimal volume element.

By substituting the density function and the volume of the cone into the integral, we can evaluate the integral to find the mass of the thin funnel.

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The taylor polynomials of degree n approximating 1/(2-2x) for x near 0 is P7(x)=(1/2)+(1/2)x+(1/2)x2+(1/2)x3+(1/2)x4+(1/2)x5+(1/2)x6+(1/2)x7

What is taylor polynomials?

An infinite sum of terms stated in terms of the function's derivatives at a single point is referred to as a Taylor series or Taylor expansion of a function. Near this point, the function and the sum of its Taylor series are equivalent for the majority of common functions. If the functional values and derivatives are identified at a single point, the Taylor series is used to calculate the value of the entire function at each point.

P(x)=1/(2-2x)

=(1/2)(1/(1-x))

=(1/2)(1+x+x2+x3+x4+x5+x6+x7+x8+.....)

for n =3 ,P3(x)=(1/2)+(1/2)x+(1/2)x2+(1/2)x3

for n =5 ,P5(x)=(1/2)+(1/2)x+(1/2)x2+(1/2)x3+(1/2)x4+(1/2)x5

for n =7 ,P7(x)=(1/2)+(1/2)x+(1/2)x2+(1/2)x3+(1/2)x4+(1/2)x5+(1/2)x6+(1/2)x7

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Answer:

X=-1, y=1

Step-by-step explanation:

- x=2x+3

-3x=3

X=-1

Y=-1*-1=1

Answer:

which equation i cant see a question or a photo of question

The another term for the average value of a distribution is "mean."

The mean is a commonly used measure of central tendency that represents the average value of a set of data. It is calculated by summing up all the values in a dataset and dividing by the total number of observations. The mean is a useful tool for summarizing the general tendency of a dataset and is used as a basis for other statistical calculations such as variance and standard deviation.

However, the mean is sensitive to outliers, meaning that a few extreme values in a dataset can greatly affect the mean. For this reason, it's sometimes necessary to use other measures of central tendency, such as the median or mode, to get a better understanding of the central tendency of a dataset.

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To find the product of 4√18 and √12, we can simplify each square root separately and then multiply the resulting values.

First, let's simplify the square roots: √18 can be broken down as √(9 × 2), which simplifies to 3√2. √12 can be broken down as √(4 × 3), which simplifies to 2√3. Now we can multiply the simplified values: 4√18 multiplied by √12 is equal to (4 × 3√2) multiplied by (2√3). This gives us 12√2 × 2√3.

To multiply the terms with square roots, we can multiply the coefficients (12 × 2) and multiply the square root terms (√2 × √3). The product is 24√(2 × 3), which simplifies to 24√6. Therefore, the product of 4√18 and √12 is 24√6. The product of 4√18 and √12 is 24√6, where the coefficient is 24 and the square root term is √6.

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Answer:

x = 21

Step-by-step explanation:

4 - 7x +10 = 15 - 6x - 8

-7x + 14 = -6x -7

14 + 7 = -6x + 7x

21 = x or x=21

a) Profit: P(x) = -0.003x\(^2\) + 5.6x - 40.

b) Revenue, cost, and profit at x = 100: R(100) = 400, C(100) = 20, P(100) = 380.

c) Derivatives: R'(x) = 4, C'(x) = 0.006x - 1.6, P'(x) = -0.006x + 5.6.

d) Derivatives at x = 100: R'(100) = 5, C'(100) = -1, P'(100) = 6.

a) To find the profit P(x), we subtract the cost C(x) from the revenue R(x):

P(x) = R(x) - C(x) = 4x - (0.003x\(^2\) - 1.6x + 40)

Expanding and simplifying:

P(x) = 4x - 0.003x\(^2\) + 1.6x - 40

P(x) = -0.003x\(^2\) + 5.6x - 40

b) To find R(100), C(100), and P(100), we substitute x = 100 into the respective functions:

R(100) = 4(100) = 400 (Revenue when x = 100)

C(100) = 0.003(100)\(^2\) - 1.6(100) + 40 = 20 (Cost when x = 100)

P(100) = R(100) - C(100) = 400 - 20 = 380 (Profit when x = 100)

c) To find the derivatives R'(x), C'(x), and P'(x), we differentiate the respective functions:

R'(x) = d/dx(4x) = 4 (Derivative of Revenue function)

C'(x) = d/dx(0.003x\(^2\) - 1.6x + 40) = 0.006x - 1.6 (Derivative of Cost function)

P'(x) = R'(x) - C'(x) = 4 - (0.006x - 1.6) = -0.006x + 5.6 (Derivative of Profit function)

d) To find R'(100), C'(100), and P'(100), we substitute x = 100 into the respective derivatives:

R'(100) = -0.006(100) + 5.6 = -0.6 + 5.6 = 5 (Derivative of Revenue function when x = 100)

C'(100) = 0.006(100) - 1.6 = 0.6 - 1.6 = -1 (Derivative of Cost function when x = 100)

P'(100) = R'(100) - C'(100) = 5 - (-1) = 6 (Derivative of Profit function when x = 100)

In summary:

a) P(x) = -0.003x\(^2\) + 5.6x - 40

b) R(100) = 400, C(100) = 20, P(100) = 380

c) R'(x) = 4, C'(x) = 0.006x - 1.6, P'(x) = -0.006x + 5.6

d) R'(100) = 5, C'(100) = -1, P'(100) = 6

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The statements that is true about the similarity of the two triangles the option D

D. ΔMNO and ΔJKL are not similar triangles

Similar triangles are triangles which have proportional corresponding sides

The parameters in the question are;

The length of segment MN = 20

Length of segment NO = 12

Length of segment OM = 25

Measure of angle ∠O = 56°

Length of segment LJ =- 15

Length of segment JK = 12

Length of segment KL = 9

Measure of angle ∠L = 56°

Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included  angle between the two sides are congruent

The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL

However, the ratio of the sides  LK to ON and JL to MO are;

9/12 ≠ 15/25

Therefore, the triangles are not similar

The correct option is option D

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The probability of odds as a decimal rounded to the nearest hundredth is 0.398.

The probability of odds is given by the formula -

Probability of odds = probability odds ÷ probability (1 + odds)

Probability odds = 0.66

Probability (1 + odds) = 1 + 0.66

Performing addition on Right Hand Side of the equation

Probability (1 + odds) = 1.66

Keep the values in formula to find the probability of odds

Probability of odds = 0.66/1.66

Performing division on Right Hand Side of the equation

Probability of odds = 0.398

Hence, the probability of odds is 0.398.

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There is no difference between the mean IQ levels of people who were reared by their natural parents and those who were not.

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A majority of the college seniors in the survey are not planning to attend graduate school. The discipline of business constitutes the majority of individuals in the survey.

In more detail, let's analyze the crosstabulation table. To determine if a majority of the seniors are planning to attend graduate school, we can compare the total number of "yes" responses (140) to the total number of respondents (400).

Since 140 is less than 50% of 400, we can conclude that a majority of the seniors are not planning to attend graduate school.

To identify which discipline constitutes the majority of individuals in the survey, we can examine the column totals.

The highest column total corresponds to the "engineering" discipline, with 146 individuals. Therefore, engineering is the discipline that constitutes the majority of individuals in the survey.

To compute the row percentages, we divide each cell by its respective row total and multiply by 100. This gives us the percentage of students in each undergraduate major who plan to attend graduate school.

By analyzing these percentages, we can identify any patterns or relationships between the students' majors and their intention of attending graduate school.

To compute the column percentages, we divide each cell by its respective column total and multiply by 100. This allows us to examine the percentage of students who plan to attend graduate school within each undergraduate major category.

Analyzing these percentages can reveal any relationships between the students' intention of going to graduate school and their undergraduate major.

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Answer:

The side-angle-side

Step-by-step explanation:

SAS (number 3)

:))

have a good day!!!

Answer:

AA similarity postulate establishes that triangles are similar

However, I can explain the process of simplifying the given functions using the Karnaugh Map (K-Map) method and provide you with the minimized SOP and POS forms.

1. For Function 1, we have the following grouped and labeled K-Maps:
  - K-Map for variables a, b, and e (4x4 grid)
  - K-Map for variable d (2x2 grid)
2. To obtain the minimized SOP forms of Function 1, we need to analyze the grouped cells in the K-Maps and write the corresponding Boolean expressions. By applying the K-Map method, we can obtain six possible minimized SOP forms for Function 1.

3. For Function 2, we have the following grouped and labeled K-Maps:
  - K-Map for variables a, b, c, and e (4x4 grid)
  - K-Map for variable d (2x2 grid)
4. To obtain the minimized POS forms of Function 2, we need to analyze the grouped cells in the K-Maps and write the corresponding Boolean expressions. By applying the K-Map method, we can obtain three possible minimized POS forms for Function 2.

Please note that the specific expressions and grouped cells for each function can be obtained by visually examining the K-Maps. It would be best to refer to a resource that allows you to draw and label the K-Maps to get the accurate results for Function 1 and Function 2.

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Note that the IRS Installment Agreement form 433-D can be mailed to

Internal Revenue Service

ACS Support

PO Box 8208

Philadelphia, PA 19101-8208.

Please note   that you will need to include a copyof your most recent tax return with your Form 433-D.

You can also   include any other documentation that you think would be helpful in your request foran installment agreement.

Here are some additional tips for mailing Form 433-D -

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Answer:

Sarah gets 2 A's.

Step-by-step explanation:

Sarah's mother gives her $10 for each B she receives. She received 3 B's, so 3x10 is 30. You subtract 80-30. You get 50. She receives $25 for each A. You then divide 50 by 25, and are left with 2. The answer is that Sarah received 2 A's on her report card.

Hope you have a great day,

Ginny

There is a 5/6 probability that you will remove pairs of socks to make sure you obtain a pair that is not navy.

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Statistics is the study of events that follow a probability distribution.

So, we know that:

27 black socks.

18 grey socks.

9 navy socks.

Probability formula: P(E) = Favouravle events/Total events

Now, insert values in the formula as follows:

P(E) = Favouravle events/Total events

P(E) = 27+18/27+18+9

P(E) = 45/54

P(E) = 15/18

P(E) = 5/6

Therefore, there is a 5/6 probability that you will remove pairs of socks to make sure you obtain a pair that is not navy.

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Correct question:
in a pitch-black room, you have a drawer with 27 black socks, 18 grey socks, and 9 navy socks. What is the probability that you take out pairs of socks to ensure you get a pair that is not navy?