what is the common fact or 9 12 15 and 18​

The number of students who will be going on the trip is B. 40 students.

A mathematical expression is a rule-based set of numbers, variables, and mathematical operations performed to compute the output value.

The mathematical operations used to solve mathematical expressions include additions, subtractions, divisions, and multiplications.

The total of the weekend trip = $4,030

The cost of cleaning for the bus = $30

The cost of food and lodging per student = $60

The bus charge per student = $40

Total cost per student = $100 ($60 + $40)

The total cost, y = 4,030 - 30 - 100x

The number of students = x

x= (4,030 - 30)/100

= (4,000/100)

= 40.

Thus, the number of students who will be going on the trip is B. 40 students.

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Answer:

[tex]\sqrt{(-\frac{806}{94}+8)^2+(-\frac{215}{94}-9)^2+ (-\frac{251}{94}-8)^2}[/tex] Whatever this number may be

Step-by-step explanation:

The distance will be on the plane containing the point, and perpendicular to the line - which exists as long as the point doesn't sit on the line, but in that case our distance will simply be zero. Good news, since the line is given in parametric equation, the equation of the plane is easy to write by simply computing the dot product between the vector generating the line - or any multiple of it! - and the vector joining a random point x y z of the space with our given point, and setting it equal to zero. The equation of our plane is thus

[tex]6(x-(-8)) + 3(y-9) -7(z-8) = 0\\6(x+8)+3(y-9)-7(z-8)=0[/tex]

We could multiply now or later, doesn't matter, so let's wait. Now, we need to know when the line passes through the plane, so let's plug the (parametric) coordinate of the line and let's see for which value of t that happens:

[tex]6(-2-6t+8) +3(1-3t -9) -7(-5+7t-8) =0\\6(6-6t) -3(8+3t)+7(13-7t)=0\\36-36t-24-9t+91-49t = 0\\t=103/94[/tex]

Found this value of t, we can use it to find the coordinate of the point in common between the line and the plane:

[tex](-2-6\frac {103}{94};1-3\frac {103}{94}; -5+7\frac {103}{94}) = (-\frac{806}{94};-\frac{215}{94};-\frac{251}{94})[/tex]

At this point it's simply a matter of calculating the distance between two points in 3D space, given by the usual [tex]\sqrt{\Delta x^2+\Delta y^2+\Delta z^2}[/tex], whatever abomination of a number it might become:

[tex]\sqrt{(-\frac{806}{94}+8)^2+(-\frac{215}{94}-9)^2+ (-\frac{251}{94}-8)^2}[/tex]

At this point is a simple exercise in number crunching which I refuse to entertain more - but please double check all calculation above in case I didn't notice something.

The meaning of |-36| is  the absolute value of negative 36.

We know that, the absolute value of any real number m is the positive value of m.

For any ±m ∈ R,

| ±m | = m

The absolute value of a number is also know as modulus of number.

In this question we have been given an absolute value |-36|

|-36| = 36

So, the meaning of |-36| would be,

- the absolute value of negative 36

Therefore, the meaning of |-36| is  the absolute value of negative 36.

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Using the Poisson and the normal distributions, the probabilities are given as follows:

a) 0.0895 = 8.95%.

b)

Without correction, P(X < 8) = 0.1251 = 12.51%.

With continuity correction, P(X < 8) = 0.0968 = 9.68%.

c)

Without correction, P(16 < X < 24) = 0.1248.

With correction, P(16 < X < 24) = 0.1558 = 15.58%.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

In this problem, the mean is given by:

[tex]\mu = 12[/tex]

Hence the probability that X is less than 8 is given by:

P(X < 8) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7).

In which:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-12}12^{0}}{(0)!} = 0.00001[/tex]

...

[tex]P(X = 7) = \frac{e^{-12}12^{7}}{(7)!} = 0.04368[/tex]

The middle values are found applying the same formula, and adding them, the probability is given by:

P(X < 8) = 0.0895 = 8.95%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Without continuity correction, the probability that X is less than 8 is the p-value of Z when X = 8, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{8 - 12}{\sqrt{12}}[/tex]

Z = -1.15

Z = -1.15 has a p-value of 0.1251.

Hence:

Without correction, P(X < 8) = 0.1251 = 12.51%.

With continuity correction, as the Poisson distribution is discrete and the normal is continuous, the probability is P(X < 7.5), which is the p-value of Z when X = 7.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7.5 - 12}{\sqrt{12}}[/tex]

Z = -1.3

Z = -1.3 has a p-value of 0.0968.

Hence:

With continuity correction, P(X < 8) = 0.0968 = 9.68%.

For item c, without correction, the probability is the p-value of Z when X = 24 subtracted by the p-value of Z when X = 16, hence:

X = 24:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24 - 12}{\sqrt{12}}[/tex]

Z = 3.46

Z = 3.46 has a p-value of 0.9997.

X = 16:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16 - 12}{\sqrt{12}}[/tex]

Z = 1.15

Z = 1.15 has a p-value of 0.8749.

0.9997 - 0.8749 = 0.1248.

Hence:

Without correction, P(16 < X < 24) = 0.1248.

With correction, the probability is the p-value of Z when X = 23.5 subtracted by the p-value of Z when X = 15.5, hence:

X = 23.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{23.5 - 12}{\sqrt{12}}[/tex]

Z = 3.32

Z = 3.32 has a p-value of 0.9996.

X = 15.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15.5 - 12}{\sqrt{12}}[/tex]

Z = 1.01

Z = 1.01 has a p-value of 0.8438.

0.9996 - 0.8438 = 0.1558.

Hence:

With correction, P(16 < X < 24) = 0.1558 = 15.58%.

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Given that

To find

So, according to the question

We have,

∵ From figure m∠1 and m∠2 divided 90° into two parts

∴       m∠1 + m∠2  = 90° ----------------------(1)

Now putting the values of m∠1 and m∠2 in equation (1)

        m∠1 + m∠2  = 90° ----------------------(1)

       (x+38)° + 3x° =  90°

       x°+38° + 3x° =  90°

                     4x° =  90° - 38°

                     4x° =  52°

                     x° =  (52/4)°

                     x° =  13°

So,

                m∠1 = (x+38)°

                        = (13+38)°

               m∠1 = 51°  

And

                m∠2 = 3x°

                        = (3 × 13)°

                m∠2 = 39°

The angles are

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Neon (Ne), hydrogen (H), helium (He), and Carbon (C) are examples of; C: elements you can tell because they can be found on the periodic table

Elements are pure substances which are composed of only one type of atom. Compound are substances which are formed by two or more different types of elements that are united chemically in fixed proportions.

Now, Neon (Ne), hydrogen (H), helium (He), and Carbon (C) are examples of elements. This is because they are all composed of only one type of atom and they can as well be found in the periodic table that contains only elements.

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Answer:

2.3(2.99)=$6.877

Step-by-step explanation:

Multiply the pounds (2.3) by the price of apples per pound.

Hope this helps! :)

Answer:

2.3(2.99)=$6.877

Step-by-step explanation:

Hope this helps!

Answer: The answer is 16.62

Answer:

The way I would best say is listing all the multiples then circle all the ones that are alike then find the lowest one they all have.

Example

Find the common multiples of 12,15,20

Multiples of 12:12, 24, 36, 48, 60, 72, 84, 96, 120……….

Multiples of 15:15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405,……..

Multiples of 20:20, 40, 60, 80, 100, 120, 140, 160, 180, and 200.

Step-by-step explanation:

They all have 60 so your lcm is 60

Answer:

Step-by-step explanation:

You want to know the number of outcomes in the sample space when 3 marbles are chosen from 7. If four are red marbles, you want to know the number of outcomes when all chosen are red.

There are C(7,3) = 7!/(4!·3!) = 35 ways to choose 3 marbles from 7. Given that there are different colored marbles involved, not all of these outcomes are unique.

There are 35 possible outcomes.

There are C(4, 3) = 4 ways to choose 3 red marbles from 4 red marbles.

There are 4 possible outcomes with all red marbles.

__

Additional comment

The 35 possible outcomes are ...

  (RRR) - 4, (RRG) - 12, (RRY) - 6, (RGG) - 4, (RGY) - 8, (GGY) - 1

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Answer:

No, I do not agree with Simon's reasoning.

Step-by-step explanation:

7*2=14

8*1=8

BUT

7+2=9

8+1=9

YET

Simon isn't properly solving the equation with the right basic operation of arithmetic. He must multiply, not use addition.

Hope this helps.

The amount the she had in her savings before the trip was $825

From the question, we are to calculate how much Imani has in her savings before the trip

Let the amount she has in her savings before the trip be x

From the given information,

"Imani spent a third of her savings on airfare for a vacation"

That is,

She spent (1/3)x

The amount remaining after this time will be x - (1/3)x = (2/3)x

"She then spent another $300 on hotels"

The amount remaining after this time will be (2/3)x - $300

"If she has $250 left for meals and souvenirs"

That is,

(2/3)x - $300 = $250

Now, solve for x

(2/3)x - $300 = $250

(2/3)x = $250 + $300

(2/3)x = $550

x = $550 × 3/2

x = $825

Hence, the amount the she had in her savings before the trip was $825

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Answer:

24

Step-by-step explanation:

8. 6

16. 12

24. ✔️ 18

32. 24✔️

40. 30

48. 36

56. 42

64. 48

72. 54

80. 60

The length of each side of the tank is 9 feet.

Height = 8

Volume = 648

Let y be the cross sectional area

Therefore, 648 = 8y

y² = 648/8

y² = 81

Therefore, y = ✓81

y = 9

The length of each side of the tank is 9 feet.

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Answer:

Step-by-step explanation:

The minimum is the smallest value in a data set.

Ordering the data from least to greatest, we get:

1  2   3   5   6   7   9   11   12   13   14   16   17   19   20  

So the minimum is 1

The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.

Quartile 1 is 5,        

1   2   3   5   6   7   9  11   12   13   14   16   17   19   20  

The first half is

1   2   3   5   6   7   9, the median of these numbers is 5 so Quartile 1 = 5

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

The median is 7,     1   2   3   5   6   7  9   11   12   13   14   16   17   19  20

The third quartile (or upper quartile or 75th percentile) is the median of the second half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.

Quartile 3 is 16,

1   2   3   5   6   7   9   11   12   13   14   16   17   19   20  

The upper half is

12   13   14   16   17   19   20, the median of these numbers is 16 so Quartile 3 = 16

The maximum is the greatest value in a data set.

Ordering the data from least to greatest, we get:

1   2   3   5   6   7   9   11   12   13   14   16   17   19   20  

So, the maximum is 20.

The 3 consecutive odd integers are -3, -5 and -7

Let the 3 consecutive odd integers be 2x-1,  2x+1 and 2x+3

If the sum of 2 times the first and the last term is equal to 5 times the middle integer, then;

2(2x-1)+2x+3 = 5(2x+1)

Expand

4x-2 + 2x +3 = 10x+5

6x +1 = 10x + 5

6x - 10x = 5 - 1

-4x = 4

x = -1

Determine the numbers

First number = 2(-1) - 1 = -3

Second number = -5

Third number = -7

Hence the 3 consecutive odd integers are -3, -5 and -7

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Answer:

x=2

Step-by-step explanation:

3x+4=2x+6

3x=2x+2

x=2

The height of the building is 23.09m.

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880 oz

Step-by-step explanation:

Answer: 5/(5+n)

Step-by-step explanation:

Let "a number" be represented by "n"

[tex]5/(5+n)[/tex]

The value of m is $25 and value of b is $100, the cost is $300 and the number of students is 12.

As per the given relation in the question, we see that b is calculated once and m is calculated based on the variable value x, which is the number of students. Hence, for correct calculation, value of m is $25 and value of b is $100.

The cost if 8 students are passengers will be calculated by keeping the value of x and other constants as per the above answer.

Cost = 25×8 + 100

Cost = 200 + 100

Cost = $300

Number of students will again be found as the value of x, by keeping the values as specified above.

400 = 25x + 100

25x = 400 - 100

25x = 300

x = 300 ÷ 25

x = 12

Hence, value of m is $25 and value of b is $100, the cost is $300 and the number of students is 12.

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The complete question is attached in figure.

The step which is included in the graph of the function is Option(a)  

y=-5 for -4≤ x <-3.

From the properties of the greatest integer function y = [x], we know that

y = 0 for, 0 ≤ x < 1

y = -1 for, - 1 ≤ x < 0

y = -2 for, - 2 ≤ x < -1

Here,we are given a greatest integer function f(x) or y =[x-1]

Hence, the step which is included in the graph of the function is  

y=-5 for -4 ≤ x <-3.

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Mean = 0.5545, Median =0.57, Mode = 0.79  of the following data.

What is mean median and mode?

For the given data 0.29, 0.3, 0.34, 0.35, 0.37, 0.46, 0.51, 0.51, 0.52, 0.57, 0.57, 0.58, 0.62, 0.63, 0.65, 0.68, 0.77, 0.79, 0.79, 0.79.

The mean is calculated as:

Mean = (0.29 + 0.3 + 0.34 + 0.35 + 0.37 + 0.46 + 0.51 + 0.51 + 0.52 + 0.57 + 0.57 + 0.58 + 0.62 + 0.63 + 0.65 + 0.68 + 0.77 + 0.79 + 0.79 + 0.79)/20

= 11.09/20

Mean = 0.5545

Median is the middle value of the data set and since the sample size is even which is 20 hence the median is found between n/2 and n/2 +1 which is 10th value and 11th value when the data set is arrange in ascending order.

so, the 10th value is 0.57 and 11th value is also 0.57 so, the median is (0.57 + 0.57)/2 = 0.57

Median:

The median is the most occuring value in the dataset and as we can see that 0.79 appeared 3 times hence 0.79 is Mode.

So, finally:

Mean = 0.5545

Median =0.57

Mode = 0.79

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Answer:

10.6 ounces

Step-by-step explanation:

1. Divide the total spent by the cost per ounce to get number of ounces bought.

2.65 ÷ 0.25 = 10.6 ounces

Answer: $4.10*0.08%=0.33

Step-by-step explanation: