A school field trip cost $1,144 for a class of 22 students. What is the cost for each student?

Answer: -4/3

Step-by-step explanation:

Answer:

\(m=-\frac{4}{3}\)

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (this isn't a sponsor I've just been using it since the 6th grade lol).

The person is making money more than the half of the population of the teachers.

Given, a person is making the median salary for a construction worker.

we have to find that more than how many teachers the person is making money

as, we know that the median is more than the half of the population.

So, the person is making money more than the half of the population of the teachers.

Hence, the person is making money more than the half of the population of the teachers.

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To find the total project completion time, we need to add the time required for each activity. Since the activities must be carried out sequentially, the total project completion time will be the sum of the times required for each activity.

The time required for activity a is uniformly distributed in the interval [1,5], so we can assume that the average time required for activity a is (1+5)/2 = 3.

The time required for activity b is uniformly distributed in the interval [2,3], so we can assume that the average time required for activity b is (2+3)/2 = 2.5.

The time required for activity c is uniformly distributed in the interval [3,6], so we can assume that the average time required for activity c is (3+6)/2 = 4.5.

Therefore, the total project completion time is:

Total project completion time = time for activity a + time for activity b + time for activity c
= 3 + 2.5 + 4.5
= 10

To run 1000 simulation trials in Excel, we can use the RAND function to generate random numbers between 0 and 1. We can then multiply these random numbers by the range of each activity to get a simulated completion time for each activity. We can then add up the simulated completion times for each trial to get a simulated total project completion time.

Here are the steps to run 1000 simulation trials in Excel:

1. In cell A1, enter "Trial" as the column header.

2. In cell B1, enter "Time for Activity A" as the column header.

3. In cell C1, enter "Time for Activity B" as the column header.

4. In cell D1, enter "Time for Activity C" as the column header.

5. In cell E1, enter "Total Project Completion Time" as the column header.

6. In cell A2, enter "1" as the first trial number.

7. In cell B2, enter the formula "=RAND()*(5-1)+1" to generate a random number between 1 and 5 for activity a.

8. In cell C2, enter the formula "=RAND()*(3-2)+2" to generate a random number between 2 and 3 for activity b.

9. In cell D2, enter the formula "=RAND()*(6-3)+3" to generate a random number between 3 and 6 for activity c.

10. In cell E2, enter the formula "=B2+C2+D2" to calculate the total project completion time for trial 1.

11. Select cells B2:E2 and drag the fill handle down to fill in the formulas for the remaining trials.

12. After filling in the formulas for 1000 trials, you can use Excel's AVERAGE function to find the average total project completion time across all trials.

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Answer:

Step-by-step explanation:

Let the section size for section 1, section 4 and section 3 = x  for each of them

Let the section size for Section 2 = 2x

Total size for the three = sections = 3x + 2x = 5x

P(2) = 2x/5x = 0.4 The xs cancel

Answer: P(2) = 0.4

Answer:

$80.50

Step-by-step explanation:

15% of $70

= \(\frac{15}{100}\) × $70

= 0.15 × $70

= $10.50 ← amount of tip

total cost = $70 + $10.50 = $80.50

The two solutions to the equation x2 5x 6 0 are x = 3 and x = -2. Adding these two solutions together gives a sum of -1.

To find the sum of the two solutions to x2 5x 6 0, we must first solve the equation. By using the quadratic formula, we find that the solutions are x = 3 and x = -2. We can add these two solutions together to get our answer. Adding 3 and -2, we get -1, which is the sum of the two solutions to x2 5x 6 0. To find this sum without solving the equation, we can also note that the coefficients of the equation are all integers. This means that the sum of the solutions must also be an integer, and since the only integer between 3 and -2 is -1, this is the only possible answer.

x2 5x 6 = 0

x2 - 5x + 6 = 0

(x - 3)(x + 2) = 0

x = 3 or x = -2

3 + (-2) = -1

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Answer Tell someone you love. Do something you love

Step-by-step explanation:

Answer:

to be honest with you, you don't really deal with it, you just kinda live with it. For me its something that I live with on a day to day and I just have to act happy around people, and hope they don't notice its all fake. So yea you just have to come to terms with the fact you have and theres much you can do about it and you just have to live with iy. That sound harsh, I'm sorry

Step-by-step explanation:

:)

Given series is  ∑n=1∞(−1)n(71/n)To check whether the given series is convergent or divergent we will use the alternating series test for the convergence of an infinite series which states that:If {an} is a decreasing sequence of positive terms and if limn→∞an=0 .

then the alternating series ∑n=1∞(−1)n−1an is convergent.Let's check whether the above-given series is fulfilling the above-given conditions or not.We can see that 71/n is a decreasing function.let an=71/nlimn→∞(71/n) = 0Hence we can say that the alternating series ∑n=1∞(−1)n−1an =  ∑n=1∞(−1)n(71/n) is convergent.So, the given series is convergent.

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∫cos(x)/8+cos(x)dx can be evaluated using substitution by letting w = sin(x) and the antiderivative is ∫ (1/8 + w)/sqrt(1-w^2) dw. ∫cos(x)/8+sin(x)dx cannot be evaluated using substitution.

To determine if substitution can be used to evaluate an integral, we can try to identify a pattern in the form of an integral. For example, we want to see if we can let w be equal to a part of the integrand that can simplify the integral and make it easier to solve. In the case of ∫cos(x)/8+cos(x)dx, we can let w = sin(x) which simplifies the integral to a standard form that can be solved using standard techniques. However, in the case of ∫cos(x)/8+sin(x)dx, there is no simplification possible by using substitution.

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Answer:

10m^2(m^2-4m+2)

Step-by-step explanation:

gcf: 10m^2

10m^4 / 10m^2 = m^2

- 40m^3 / 10 m^2 = -4m

20m^2 / 10 m^2 = 2

Answer:

You basically just square then square root it all for distance and whatever; herons formula, magnitude, whatever formulae

You should get:

6.3245 --> 6.33 -> 6.3

Answer:

I had my child look for the patterns. We found the answer of 4.5. I had her add another 1.5 which gave us the number 6 in the chart to show proof to her.

Answer:

The answer is 4.5

Step-by-step explanation:

Hope this helps you/everyone :)

The IVP dx/dt = -x^2/4, x(t0) = 1 has a solution in [t0, b] for any b > t0, but if we change the initial condition to x(t0) = 0, then the solution is discontinuous at t0.

Consider the following initial value problem:

dx/dt = -x^2/4, x(t0) = 1

The solution to this IVP is x(t) = 4/(4 + t). However, if we consider the IVP with initial condition x(t0) = 0, then the solution is x(t) = 0 for all t. Therefore, the solution is discontinuous at x(t0) = 0.

To see this, note that the solution x(t) is continuous and differentiable everywhere except at t = -4, where it has a vertical asymptote. However, when x(t0) = 0, the solution remains equal to 0 for all t ≥ t0, which means that it is not continuous at t0.

Therefore, the IVP dx/dt = -x^2/4, x(t0) = 1 has a solution in [t0, b] for any b > t0, but if we change the initial condition to x(t0) = 0, then the solution is discontinuous at t0.

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The equation of the linear function is represented by the table below in the slope-intercept form will be y=18x+8.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line. If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

From the given data the slope of the line is,

m=(18-1)/(1-0)

m=18

The equation of the line is,

y-8=18(x-0)

y-8=18x

y=18x+8

Thus, the equation of the linear function represented by the table below in the slope-intercept form will be y=18x+8.

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Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches Mattie’s house.

The shortest distance between Caroline's and Mattie's house is 10 blocks.

If we assume this as a right angle triangle then height (BA) is 6 blocks long and base (BC) is 8 blocks

long.

Then, the shortest distance between Caroline's and Mattie's house will be the hypotenuse (AC) of this

triangle.

So, by applying Pythagoras theorem:

\((AC)^{2} = (BA)^{2} = (BC)^{2} = (6)^{2}+(8)^{2}\) = 36+64 = 100

Thus, AC = \(\sqrt{100}\) = 10 blocks.

Hence, the shortest distance we can take from Caroline's house to reach Mattie's house is 10 blocks.

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Answer:

x=-5, y=-2

Step-by-step explanation:

3x+2y= -19  

-3x-5y= 25

Add the two equations together

3x+2y= -19  

-3x-5y= 25

------------------

0x -3y = 6

Divide each side by -3

-3y/-3 = 6/-3

y = -2

Now find x

3x+2y = -19

3x +2(-2) =-19

3x-4 = -19

Add 4 to each side

3x -4+4 = -19+4

3x= -15

divide by 3

3x/3 = -15/3

x = -5

Answer:

x = -5, y = -2

Step-by-step explanation:

3x + 2y = -19

-3x - 5y = 25

Add both equation together.

Divide each side by -3.

Now, find x.

Substitute the value of y into the equation 3x + 2y = -19

Move the constant to the right hand side and change their sign.

Divide both side by 3.

Therefore, x = -5 and y = -2

Suppose a person lost 10 pounds in a month. This z-score tells you that x = 10 is 2.5  standard deviations to the right of the mean 5 pounds.

To verify that the z-score when x = 10 pounds is z = 2.5, we can use the formula:

z = (x - μ) / σ

where x is the value of the random variable, μ is the mean, and σ is the standard deviation.

Plugging in the given values, we have:

z = (10 - 5) / 2 = 2.5

This confirms that the z-score when x = 10 pounds is z = 2.5.

To determine what the z-score tells us about the location of x = 10 pounds relative to the mean, we can use the definition of a z-score:

z = (x - μ) / σ

Rearranging the formula, we have:

x = μ + zσ

So, when z = 2.5 and σ = 2, we have:

x = μ + 2.5(2) = μ + 5

This tells us that x = 10 pounds is 5 pounds above the mean. Since the z-score is positive, x = 10 pounds is to the right of the mean.

Therefore, the z-score tells us that x = 10 is 2.5 standard deviations to the right of the mean of 5 pounds.

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1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters

2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters

Since we know that the wavelength = speed of light / frequency

The speed of light is 3.00 × \(10^8\) meters per second.

For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;

wavelength of A = (3.00 ×  \(10^8\)  m/s) / (4.30 × 10^15 Hz)

wavelength of A = 6.98 ×  \(10^{-8}\) meters

For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;

wavelength of B = (3.00 ×  \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)

wavelength of B = 3.45 ×  \(10^{-11}\)  meters

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The amount of storage required to represent a simple graph with n vertices and m edges can vary depending on the chosen representation. Here's the storage requirement for each representation:

a) Adjacency lists:

In an adjacency list representation, we typically use an array of size n to store the vertices, and for each vertex, we maintain a linked list or an array to store its adjacent vertices. The space complexity of this representation is O(n + m), where n is the number of vertices and m is the number of edges.

Each vertex requires constant space, and each edge is represented by a link or entry in the adjacency list.

b) Adjacency matrix:

In an adjacency matrix representation, we use a 2D matrix of size n x n to represent the graph. Each entry (i, j) in the matrix represents whether there is an edge between vertices i and j. The space complexity of this representation is O(n^2), as we need to store n^2 entries for the complete matrix. However, if the graph is sparse (few edges compared to vertices), the space complexity can be reduced to O(n + m) by only storing the entries corresponding to the existing edges.

c) Incidence matrix:

In an incidence matrix representation, we use a 2D matrix of size n x m, where n is the number of vertices and m is the number of edges. Each entry (i, j) in the matrix represents whether vertex i is incident to edge j. The space complexity of this representation is O(n * m), as we need to store n * m entries for the matrix.

Similar to the adjacency matrix, if the graph is sparse, the space complexity can be reduced to O(n + m) by storing only the entries corresponding to the existing edges.

In summary:

a) Adjacency lists: O(n + m)

b) Adjacency matrix: O(n^2) or O(n + m) for sparse graphs

c) Incidence matrix: O(n * m) or O(n + m) for sparse graphs

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Answer:

x < -2  or  x > 4

Step-by-step explanation:

This is an absolute value inequality of the form

|X| ≥ b

where X is an expression with a variable, and b is a non-negative number.

An absolute value inequality of this form is solved by changing the form into a compound inequality using the word "or."

To solve

|X| ≥ a,

solve the compound inequality

X < - a or X > a

In other words, when the absolute value of an expression is greater than (or greater than or equal to) a number, rewrite the absolute value inequality as

expression < -number or expression > number

In your problem, you have

|2x - 2| ≥ 6

The expression is 2x - 2.

The number is 6.

You change the absolute value inequality to the following compound inequality:

2x - 2 ≤ -6  or  2x - 2 > 6

Now you solve each inequality always keeping the word "or" in between them.

2x - 2 ≤ -6  or  2x - 2 > 6

2x < - 4  or  2x > 8

x < -2  or  x > 4

I hope you understand the solution and explanation. If you have any questions, ask in the comments.

Answer:

2. 77.9

Step-by-step explanation:

I think its that i looked up the formula sorry if im wrong

To write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10.

To write 10 more than a number, we need to use the mathematical operation of addition. Addition is the process of combining two or more numbers to find the total or sum.

In this case, we are given the number 5 and we are asked to find the number that is 3 more than it. To do this, we can use the mathematical notation: 10 + Number = N+10.

This notation means that we are adding 10 to a number, which results in N+10. The "+" symbol is the addition operator and it is used to indicate that we are performing an addition operation. The "=" symbol is used to indicate that the result of the addition is N+10.

Another way to write 10 more than a number is to use the phrase "10 plus a number". This phrase indicates that we are adding 10 to a number to get N+10.

Therefore, In short, to write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10. This means that we are adding 10 to a number, resulting in N+10. It can also be written as "10 plus N", indicating the same operation.

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The curvature is zero at the origin, but f(x) is not twice continuously differentiable function at x = 0, because f''(x) does not exist at x = 0. Therefore, the statement is not necessarily true.

An inflection point is a point on a curve where the sign of the curvature changes. At an inflection point, the curvature may be zero, but it may also be undefined.  Moreover, even if the curvature is defined and equal to zero at an inflection point, it does not necessarily imply that the function is twice continuously differentiable at that point.

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The probability of the horse winning the race is 4/11 or approximately 0.36 or 36%.

The odds in favor of a horse winning a race is expressed as a ratio of the number of favorable outcomes to the number of unfavorable outcomes. In this case, the odds in favor of the horse winning the race is 4:7.

This means that for every 4 favorable outcomes, there are 7 unfavorable outcomes.

To determine the probability of the horse winning the race, we can use the formula:

Probability = favorable outcomes / total outcomes

In this case, the total number of outcomes is the sum of the favorable and unfavorable outcomes, which is 4 + 7 = 11.

Therefore, the probability of the horse winning the race is:

Probability = 4 / 11

This means that the horse has a probability of approximately 0.36 or 36% of winning the race.

In summary, the odds in favor of a horse winning a race of 4:7 means that there are 4 favorable outcomes for every 7 unfavorable outcomes.

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Answer:

  c:  8,20,25

Step-by-step explanation:

You want to know which set of side lengths can form a triangle from the sets ...

A set of lengths can form a triangle if and only if the sum of the shorter two exceeds the longest.

In sets a, b, d, the sum of the shorter two is equal to the longest. These lengths will form a line segment, not a triangle.

A triangle can be formed by ...

  c: 8,20,25 . . . . . . 8+20=28 > 25

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Answer:

50π feet^2

Step-by-step explanation:

area of the circle = 10^2 π = 100π feet^2

A of the sector = 100π/2 = 50π feet^2

It will take 28.5 seconds to Makayla to be twice as deep as Jonah.

What is an equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. For example, 3x + 5 = 15.

Given,

Jonah is at a depth of -20ft.

Makayla is at a depth of -12.5ft.

at the rate of descending is 0.5.

Given equation is

2(-20+0.25s) = -12.5-0.5s

-40 + 0.5 s = -12.5 -0.5s

0.5s + 0.5s = -12.5+40

1s = 28.5

Hence, the solution of the equation is 1s = 28.5.

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Answer:

Step-by-step explanation:

probability ∈[0,1]

or probability ≥0

and ≤1

so a,b,g cannot be the probability of an event.

Answer:

See Explanation

Step-by-step explanation:

The probability of an event ranges from 0 to 1.

So, the options c. 0.6, d. 0.888, e. 0 and f. 0.39 represents the probability of an event.

Probability of an event cannot be negative number or more than 1.

Hence, options a. - 1, b. 4.2, g. - 0.5 does not represent the probability of an event.